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Från moln till Mozart, från kustlinjer till livets slut, återfinns fraktaler. Helena Granström funderar över verklighetens och konstens struktur. Lyssna på alla avsnitt i Sveriges Radio Play. ESSÄ: Detta är en text där skribenten reflekterar över ett ämne eller ett verk. Åsikter som uttrycks är skribentens egna.När en matematiker försöker sig på att skämta kan det låta såhär:Vad står bokstaven B för i Benoit B Mandelbrot? Rätt svar: Benoit B Mandelbrot. Huruvida denna vits någonsin åstadkommer några skrattsalvor ska jag låta vara osagt, men den som förstår poängen har i alla fall också förstått vad som kännetecknar fraktalerna, de matematiska objekt som utforskades ingående av just denne Mandelbrot: att de innehåller delen som är helheten som innehåller delen som är helheten, och så vidare.Därav skämtets poäng: Namnet Benoit B Mandelbrot inneslutet i namnet Benoit B Mandelbrot inneslutet i namnet Benoit B Mandelbrot i all oändlighet.Man kan tänka på ett blomkålshuvud, eller ännu hellre på en romanesco: Bryt loss en bukett, och du kommer i denna bukett att få se det stora huvudet i mindre format. Bryt loss en mindre bukett av denna bukett, och så ännu en mindre från denna: Samma sak upprepar sig, med allt mindre kålhuvuden som fortsätter att spira från allt mindre kålhuvuden. En ovanligt hänförande fraktal kallad Mandelbrotmängden upptäcktes av Mandelbrot själv, och karakteriseras av att en förhållandevis enkel formel ger upphov till en närmast outtömlig komplexitet: ett outgrundligt överflödande universum alstrat av en simpel instruktion. Inför denna rikedom är det svårt att hålla fast vid tanken på att matematiken bara skulle vara något som människan har hittat på: ”Mandelbrotmängden är”, som matematikern Roger Penrose påpekat, ”inte något som det mänskliga sinnet har uppfunnit; den upptäcktes.” Precis på samma sätt som Mount Everest, finns den bara där.Men fraktalerna existerar alltså inte enbart i den rena matematikens sfär, utan i högsta grad i verkligheten: Vi kan finna dem i kustlinjer och floddeltan, ormbunkar och åskviggar, blodkärl och neuroner, galaxkluster och bergskedjor och moln. I var och en av dessa strukturer ser man helheten upprepa sig i de mindre delarna: Den som betraktar en del av en bergig kust kan inte utifrån dess form avgöra om det är en liten sträcka som de ser på nära håll, eller en längre på stort avstånd; och varje liten del av ett moln skulle, betraktad för sig själv, lika gärna kunna vara det stora molnet självt. Till och med vår arvsmassa är arrangerad enligt denna struktur, inpassad i den trånga cellkärnan genom identiska vikningar som sker i mindre och mindre skala. Naturen är, med andra ord, i högsta grad fraktal – och år 2016 kom ett antal polska kärnfysiker lite oväntat också fram till slutsatsen att detsamma gäller litteraturen.Det är en häpnadsväckande upptäckt, även om den kanske är lite mindre fruktbar än vad en författare skulle önska – för hur gärna jag än vill skulle jag inte kunna låta varje stycke i denna essä utgöra en miniatyr av helheten – och varje mening en miniatyr av varje stycke – och varje ord en miniatyr av varje mening. Även om det hade varit outsägligt elegant. Den amerikanska författaren Paul Auster har visserligen gjort gällande att den första meningen i hans roman Mr Vertigo innehåller essensen av hela verket – men den fraktala strukturen i kända verk av författare som Virginia Woolf och Robert Bolano låter sig avtäckas först genom ingående statistisk analys. De litteraturintresserade polska fysikerna genomförde till exempel en kartläggning av fördelningen av meningarnas längd i de romaner de studerade: Vad som framträdde var en form av idealt fraktalmönster, särskilt skönjbart i den typ av litteratur som brukar betecknas som medvetandeström. Mest fraktal av alla – till och med multifraktal, det vill säga innehållande fraktaler av fraktaler – lär James Joyces svårgenomträngliga Finnegan's Wake vara. När det gäller lyrik har en ambitiös forskare med en besläktad metod lyckats med konststycket att finna Cantormängden, en annan känd fraktal, i form av förekomsten av ordet know i en dikt av den amerikanske poeten Wallace Stevens. Och även i musiken är det möjligt att finna fraktala strukturer – föga förvånande till exempel hos en kompositör som Johann Sebastian Bach, i vars tredje cellosvit en musicerande matematiker lyckats identifiera ett påfallande exakt exempel på samma Cantormängd.Bevisar det att konstnärerna, tidigare än matematikerna, har förmått att uppfatta tillvarons inre struktur? Att dessa skapande människor på ett omedvetet vis har anat formen hos de kärl som fyller människokroppens lungvävnad, hos de kärl i vilka dess blod flödar och hos det nätverk av nervceller som överhuvudtaget gör aningar – omedvetna eller inte – möjliga. Kanske är det denna djupt liggande intuition som Mandelbrot själv också anspelar på när han konstaterar att barn inte undrar ”över temperaturen hos en gas eller kollisioner mellan atomer, utan över formerna hos träd, moln och blixtar.” Undrar de, för att de i dessa former identifierar något märkvärdigt bekant, något som lånar sin form också åt deras eget inre?Men å andra sidan skulle författarnas benägenhet att skriva fram fraktaler kunna ges en mer prosaisk förklaring än så, för också det mänskliga livets yttre ramar låter oss ju stifta bekantskap med det fraktala: Dygnet kan förstås som en miniatyr av året som i sin tur kan framstå som en miniatyr av det mänskliga livsförloppet. Men inte bara det: Möjligen, skriver matematikern Michael Frame i den märkliga lilla skriften The Geometry of Grief, kan även sorgen sägas uppvisa en självlikhet på olika skalor, eftersom varje sorg i sin tur består av många små delsorger, varje förlust av en mängd olika möjligheter eller tillfällen eller erfarenheter som för alltid gått förlorade. Inuti sorgen över en älskad människas bortgång, oövervinnerlig i sin väldighet, finns sorgen över att aldrig mer få hålla hennes hand, över att aldrig mer få höra hennes röst, över att aldrig mer få vända sig till henne med sina tankar. Och det faktum att de många små sorgerna liknar den stora sorgen i art om än inte i storlek gör det möjligt, fortsätter Frame sitt resonemang, att öva sig: Att lära sig ett sätt att tackla den väldiga, till synes ohanterliga sorgen, genom att prövande och försiktigt ta sig an de mindre sorgerna, en i sänder. Och betraktat med den fraktala geometrins blick framstår på sätt och vis hela livet så, som en repetition i liten skala för de stora skeenden som hela tiden – och samtidigt, bara långsammare – utspelar sig: varje glädje en liten replik av den större glädjen, varje misslyckande och varje närmande och varje känslosvall en replik av sina större motsvarigheter av vilka de också utgör en del. Och förstås – detta är väl den fraktala livsstrukturens dystraste sida – utgör var och en av tillvarons otaliga förluster en sorts miniatyr av den slutliga förlust som väntar oss alla, den av livet självt.Hur man ska gaska upp sig efter en sådan nedslående insikt är inte helt klart – men kanske kan åtminstone matematikerna ibland oss finna lättnad i ännu ett exempel på humor för de få:–Hur gick det för matematikern som blev gammal och sjuk, dog han? –Nejdå. Han förlorade bara några av sina funktioner. Helena Granströmförfattare med bakgrund inom fysik och matematik
Billy Carson, founder and CEO of 4BiddenKnowledge TV, joined guest host Richard Syrett (Twitter) for a conversation on the concept of the universe as a fractal hologram. He described fractals as self-repeating patterns found at every scale in nature and as fundamental to understanding reality. These patterns, seen in structures like galaxies, hurricanes, and even the branching of trees and lungs, reveal a deep interconnectedness throughout the cosmos, he explained. According to Carson, the fractal nature of the universe suggests that the same principles operate from the microscopic to the macroscopic, which underscores the idea of a unified and elegantly structured reality.The holographic principle adds another layer to this understanding, he continued, proposing that the universe functions like a hologram, where every part contains the whole. Carson highlighted discoveries in quantum physics, such as the double-slit experiment, which demonstrates that reality exists as waves of potential until observed by a conscious mind. This observation collapses the potential into tangible reality, much like frames in a video game are generated dynamically as needed. The fractal and holographic nature of the universe, he argued, is driven by mathematical codes, such as the Mandelbrot set, which govern the formation and structure of everything from atoms to galaxies.Carson also delved into how ancient teachings, like Plato's "Allegory of the Cave" and Hindu concepts of Maya, align with the idea of a fractal holographic universe. These traditions recognized reality as an illusion, underpinned by a hidden, interconnected structure. He suggested that humans are fractals of divine universal consciousness, collecting experiences that contribute to a greater cosmic understanding. This perspective frames humanity not as isolated individuals but as integral components of a vast, interconnected cosmic design, he noted.------------------------------------------In the second half of the program, filmmaker Kym Staton discussed the Julian Assange story and "The Trust Fall: Julian Assange" documentary. He described Assange's background before WikiLeaks, highlighting his studies in mathematics, science, and computer science at the University of Melbourne. Assange was an encryption expert and utilized his skills to support his studies and develop technologies for whistleblower protection. This vision led to the creation of WikiLeaks in 2005, a groundbreaking platform designed to safeguard whistleblower anonymity. Staton explained how Assange's interest in protecting sources stemmed from learning about whistleblowers like Daniel Ellsberg, who revealed the Pentagon Papers and faced legal repercussions.Staton emphasized WikiLeaks' revolutionary use of encryption, which democratized access to secure communication, previously limited to governments and the elite. Assange's platform ensured whistleblower anonymity through an untraceable dropbox and safeguarded its content via a decentralized server system, making the website resilient against attacks, he reported. Staton underscored how WikiLeaks reshaped global transparency and whistleblower activity, despite facing allegations about risking lives, which were later debunked in court and by independent investigations.He detailed how WikiLeaks' disclosures—like the Collateral Murder video and the DNC email leaks—triggered a backlash from powerful figures. These revelations exposed war crimes, corruption, and controversial government actions, which led to Assange being targeted by the U.S. and other governments. Staton recounted how Assange's years-long confinement in the Ecuadorian embassy and his subsequent imprisonment took a toll on his mental and physical health, illustrating the immense personal cost of his commitment to transparency. Staton also refuted myths surrounding Assange, such as endangering lives or criminal charges in Sweden, and framed him instead as a courageous advocate for truth and justice.
Billy Carson, founder and CEO of 4BiddenKnowledge TV, joined guest host Richard Syrett (Twitter) for a conversation on the concept of the universe as a fractal hologram. He described fractals as self-repeating patterns found at every scale in nature and as fundamental to understanding reality. These patterns, seen in structures like galaxies, hurricanes, and even the branching of trees and lungs, reveal a deep interconnectedness throughout the cosmos, he explained. According to Carson, the fractal nature of the universe suggests that the same principles operate from the microscopic to the macroscopic, which underscores the idea of a unified and elegantly structured reality.The holographic principle adds another layer to this understanding, he continued, proposing that the universe functions like a hologram, where every part contains the whole. Carson highlighted discoveries in quantum physics, such as the double-slit experiment, which demonstrates that reality exists as waves of potential until observed by a conscious mind. This observation collapses the potential into tangible reality, much like frames in a video game are generated dynamically as needed. The fractal and holographic nature of the universe, he argued, is driven by mathematical codes, such as the Mandelbrot set, which govern the formation and structure of everything from atoms to galaxies.Carson also delved into how ancient teachings, like Plato's "Allegory of the Cave" and Hindu concepts of Maya, align with the idea of a fractal holographic universe. These traditions recognized reality as an illusion, underpinned by a hidden, interconnected structure. He suggested that humans are fractals of divine universal consciousness, collecting experiences that contribute to a greater cosmic understanding. This perspective frames humanity not as isolated individuals but as integral components of a vast, interconnected cosmic design, he noted.------------------------------------------In the second half of the program, filmmaker Kym Staton discussed the Julian Assange story and "The Trust Fall: Julian Assange" documentary. He described Assange's background before WikiLeaks, highlighting his studies in mathematics, science, and computer science at the University of Melbourne. Assange was an encryption expert and utilized his skills to support his studies and develop technologies for whistleblower protection. This vision led to the creation of WikiLeaks in 2005, a groundbreaking platform designed to safeguard whistleblower anonymity. Staton explained how Assange's interest in protecting sources stemmed from learning about whistleblowers like Daniel Ellsberg, who revealed the Pentagon Papers and faced legal repercussions.Staton emphasized WikiLeaks' revolutionary use of encryption, which democratized access to secure communication, previously limited to governments and the elite. Assange's platform ensured whistleblower anonymity through an untraceable dropbox and safeguarded its content via a decentralized server system, making the website resilient against attacks, he reported. Staton underscored how WikiLeaks reshaped global transparency and whistleblower activity, despite facing allegations about risking lives, which were later debunked in court and by independent investigations.He detailed how WikiLeaks' disclosures—like the Collateral Murder video and the DNC email leaks—triggered a backlash from powerful figures. These revelations exposed war crimes, corruption, and controversial government actions, which led to Assange being targeted by the U.S. and other governments. Staton recounted how Assange's years-long confinement in the Ecuadorian embassy and his subsequent imprisonment took a toll on his mental and physical health, illustrating the immense personal cost of his commitment to transparency. Staton also refuted myths surrounding Assange, such as endangering lives or criminal charges in Sweden, and framed him instead as a courageous advocate for truth and justice.
Billy Carson, founder and CEO of 4BiddenKnowledge TV, joined guest host Richard Syrett (Twitter) for a conversation on the concept of the universe as a fractal hologram. He described fractals as self-repeating patterns found at every scale in nature and as fundamental to understanding reality. These patterns, seen in structures like galaxies, hurricanes, and even the branching of trees and lungs, reveal a deep interconnectedness throughout the cosmos, he explained. According to Carson, the fractal nature of the universe suggests that the same principles operate from the microscopic to the macroscopic, which underscores the idea of a unified and elegantly structured reality.The holographic principle adds another layer to this understanding, he continued, proposing that the universe functions like a hologram, where every part contains the whole. Carson highlighted discoveries in quantum physics, such as the double-slit experiment, which demonstrates that reality exists as waves of potential until observed by a conscious mind. This observation collapses the potential into tangible reality, much like frames in a video game are generated dynamically as needed. The fractal and holographic nature of the universe, he argued, is driven by mathematical codes, such as the Mandelbrot set, which govern the formation and structure of everything from atoms to galaxies.Carson also delved into how ancient teachings, like Plato's "Allegory of the Cave" and Hindu concepts of Maya, align with the idea of a fractal holographic universe. These traditions recognized reality as an illusion, underpinned by a hidden, interconnected structure. He suggested that humans are fractals of divine universal consciousness, collecting experiences that contribute to a greater cosmic understanding. This perspective frames humanity not as isolated individuals but as integral components of a vast, interconnected cosmic design, he noted.------------------------------------------In the second half of the program, filmmaker Kym Staton discussed the Julian Assange story and "The Trust Fall: Julian Assange" documentary. He described Assange's background before WikiLeaks, highlighting his studies in mathematics, science, and computer science at the University of Melbourne. Assange was an encryption expert and utilized his skills to support his studies and develop technologies for whistleblower protection. This vision led to the creation of WikiLeaks in 2005, a groundbreaking platform designed to safeguard whistleblower anonymity. Staton explained how Assange's interest in protecting sources stemmed from learning about whistleblowers like Daniel Ellsberg, who revealed the Pentagon Papers and faced legal repercussions.Staton emphasized WikiLeaks' revolutionary use of encryption, which democratized access to secure communication, previously limited to governments and the elite. Assange's platform ensured whistleblower anonymity through an untraceable dropbox and safeguarded its content via a decentralized server system, making the website resilient against attacks, he reported. Staton underscored how WikiLeaks reshaped global transparency and whistleblower activity, despite facing allegations about risking lives, which were later debunked in court and by independent investigations.He detailed how WikiLeaks' disclosures—like the Collateral Murder video and the DNC email leaks—triggered a backlash from powerful figures. These revelations exposed war crimes, corruption, and controversial government actions, which led to Assange being targeted by the U.S. and other governments. Staton recounted how Assange's years-long confinement in the Ecuadorian embassy and his subsequent imprisonment took a toll on his mental and physical health, illustrating the immense personal cost of his commitment to transparency. Staton also refuted myths surrounding Assange, such as endangering lives or criminal charges in Sweden, and framed him instead as a courageous advocate for truth and justice.
Billy Carson, founder and CEO of 4BiddenKnowledge TV, joined guest host Richard Syrett (Twitter) for a conversation on the concept of the universe as a fractal hologram. He described fractals as self-repeating patterns found at every scale in nature and as fundamental to understanding reality. These patterns, seen in structures like galaxies, hurricanes, and even the branching of trees and lungs, reveal a deep interconnectedness throughout the cosmos, he explained. According to Carson, the fractal nature of the universe suggests that the same principles operate from the microscopic to the macroscopic, which underscores the idea of a unified and elegantly structured reality.The holographic principle adds another layer to this understanding, he continued, proposing that the universe functions like a hologram, where every part contains the whole. Carson highlighted discoveries in quantum physics, such as the double-slit experiment, which demonstrates that reality exists as waves of potential until observed by a conscious mind. This observation collapses the potential into tangible reality, much like frames in a video game are generated dynamically as needed. The fractal and holographic nature of the universe, he argued, is driven by mathematical codes, such as the Mandelbrot set, which govern the formation and structure of everything from atoms to galaxies.Carson also delved into how ancient teachings, like Plato's "Allegory of the Cave" and Hindu concepts of Maya, align with the idea of a fractal holographic universe. These traditions recognized reality as an illusion, underpinned by a hidden, interconnected structure. He suggested that humans are fractals of divine universal consciousness, collecting experiences that contribute to a greater cosmic understanding. This perspective frames humanity not as isolated individuals but as integral components of a vast, interconnected cosmic design, he noted.------------------------------------------In the second half of the program, filmmaker Kym Staton discussed the Julian Assange story and "The Trust Fall: Julian Assange" documentary. He described Assange's background before WikiLeaks, highlighting his studies in mathematics, science, and computer science at the University of Melbourne. Assange was an encryption expert and utilized his skills to support his studies and develop technologies for whistleblower protection. This vision led to the creation of WikiLeaks in 2005, a groundbreaking platform designed to safeguard whistleblower anonymity. Staton explained how Assange's interest in protecting sources stemmed from learning about whistleblowers like Daniel Ellsberg, who revealed the Pentagon Papers and faced legal repercussions.Staton emphasized WikiLeaks' revolutionary use of encryption, which democratized access to secure communication, previously limited to governments and the elite. Assange's platform ensured whistleblower anonymity through an untraceable dropbox and safeguarded its content via a decentralized server system, making the website resilient against attacks, he reported. Staton underscored how WikiLeaks reshaped global transparency and whistleblower activity, despite facing allegations about risking lives, which were later debunked in court and by independent investigations.He detailed how WikiLeaks' disclosures—like the Collateral Murder video and the DNC email leaks—triggered a backlash from powerful figures. These revelations exposed war crimes, corruption, and controversial government actions, which led to Assange being targeted by the U.S. and other governments. Staton recounted how Assange's years-long confinement in the Ecuadorian embassy and his subsequent imprisonment took a toll on his mental and physical health, illustrating the immense personal cost of his commitment to transparency. Staton also refuted myths surrounding Assange, such as endangering lives or criminal charges in Sweden, and framed him instead as a courageous advocate for truth
Lebensliebe Folge 126: Fraktaltheorie - Wie Trauma sich wiederholt Die heutige Folge führt uns zur Fraktaltheorie von Mandelbrot. Eien mathematische Theorie, die sich jedoch auch auf Trauma und unser ganzes Leben übertragen lässt. Wir sind gespannt, ob ihr auch etwas erkennen könnt! Liebe Geht Raus!!!! Viel Spass beim Zuhören! Wir hoffen Ihr könnt viel mitnehmen aus dieser Folge! --> Für alle, die unsere kommenden Projekte auf Patreaon supporten wollen: https://patreon.com/LebensliebePodcast?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=creatorshare_creator&utm_content=join_link --> Buche jetzt eine kostenlose Online-Erstberatung bei Aaron Jurenka: https://aaronjurenka.com/buchung/ Liebe geht natürlich wie immer raus. ❤️❤️❤️ Viele spannende Erkenntnisse und bis nächste Woche Freitag 05:00 Uhr! --> hier gehts zu Aaron's neuem Podcast: Aaron Jurenka https://open.spotify.com/show/1iy7M1XXfoEZBE959npkQx Besuche meine Webseite für weitere Infos: https://aaronjurenka.com/ Folgt uns auf Instagram Aaron: https://www.instagram.com/aaronjurenka/?hl=de Dominik: https://www.instagram.com/domiollowain/?hl=de Weitere Infos findest du zu Dominiks Projekt: www.monestevole.com YouTube Aaron Jurenka Selbstheilung: https://youtube.com/@selbstheilung_durch_gedanken?feature=shared
Send us a textJoin me as we kick off the exciting second season of Not Another Investment Podcast, featuring an in-depth conversation with Jeff Henriksen, the visionary founder of Thorpe Abbotts Capital. This episode offers a wealth of insights into the realm of behavioral investing and market dynamics, particularly within the US small-cap equity landscape. Jeff sheds light on market inefficiencies caused by behavioral mispricings and unravels how he uses those as a tool for seizing opportunities amidst market biases. Gain a fresh perspective on how crowd wisdom can enhance market efficiency and the intricate dance between investor preferences and market errors.Listeners will be intrigued by our exploration of market extremes and valuation reversals, where we dissect the patterns of systematic behavioral mistakes that create windows for strategic investing. Using Keynes' analogy of newspaper beauty pageants, we unpack how collective biases can cloud intrinsic value assessments, especially under the influence of inflation and fluctuating interest rates. Dive into the concept of the "correction fulcrum" and discover how markets self-correct after overreactions. Our conversation also delves into Mandelbrot's fractal theories, highlighting the potential for arbitrage across market cycles.The conversation provides a thought-provoking discussion of the interplay between passive investing and active strategies like Jeff's. Understand how passive funds can inadvertently intensify market cycles, presenting challenges for active managers while simultaneously offering strategic openings for those adept at navigating market momentum.Whether you're a seasoned investor or new to the market, this episode promises to equip you with actionable insights and a deeper understanding of market behavior, enriching your investment journey.Research links:Cochrane, Discount Rates (2011)Mandelbrot, The (Mis)behavior of MarketsDamadoran, Narrative and Numbers: The Value of Stories in Business Soros, The Theory of ReflexivityBhaskar & Suleyman, The Coming Wave: Technology, Power, and Twenty-first Century's Greatest DilemmaBernanke, 21st Century Monetary PolicyGabaix & Koijen, In Search of the Origins of Financial Fluctuations: The Inelastic Markets HypothesisThanks for listening! Please be sure to review the podcast or send your comments to me by email at info@not-another-investment-podcast.com. And tell your friends!
Is math discovered or invented? Neil deGrasse Tyson & Chuck Nice explore information theory, talking to aliens with prime numbers, Mandelbrot sets, and why math is often called the "language of the universe" with Grant Sanderson, the math educator behind YouTube channel 3Blue1Brown. NOTE: StarTalk+ Patrons can listen to this entire episode commercial-free here:https://startalkmedia.com/show/our-mathematical-universe-with-grant-sanderson-3blue1brown/Thanks to our Patrons Dr. Satish, Susan Kleiner, Harrison Phillips, Mark A, Rebeca Fuchs, Aaron Ciarla, Joe Reyna, David Grech, Fida Vuori, Paul A Hansen, Imran Yusufzai, CharlieVictor, Bob Cowles, Ryan Lyum, MunMun, Samuel Barnett, John DesMarteau, and Mary Anne Sanford for supporting us this week. Subscribe to SiriusXM Podcasts+ on Apple Podcasts to listen to new episodes ad-free and a whole week early.
Ibec once again joins forces with the Royal Irish Academy for Hamilton Day for its fifth year of partnership, recognising the importance of STEM education for business. Hamilton Day represents an important celebration of native Dubliner William Rowan Hamilton, one of the world's greatest mathematicians and credited as one of the founders of modern linear algebra. Every year, Ireland's universities come together to put forward outstanding nominees from their mathematics departments to be shortlisted for the Hamilton Prize.In this episode of Ibec Responds, Danny McCoy, Ibec CEO, is joined by past winner of the Hamilton Prize, Norma Bargary, Professor of Data Science & Statistical Learning at University of Limerick and Martin Curley, Professor of Innovation at Maynooth University.They discuss the key role STEM talent play in safeguarding Ireland's economic future.The Royal Irish Academy is pleased to announce that the 2024 Hamilton Lecture: The geometry and algebra of the Mandelbrot set will be delivered by Professor Laura DeMarco. Tickets are available for purchase now.Thank you for listening. To explore all of Ibec's podcast offering, visit here. Make sure to follow Ibec Podcasts to stay up to date with new episodes.
Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Perplexity wins my AI race, published by Elizabeth on August 24, 2024 on LessWrong. Perplexity is the first generalized AI chatbot I've found useful enough to integrate into any part of my daily workflow, much less across multiple domains. It speeds me up enough that I'm planning an increase in my freelancing rate. Perplexity has three key advantages: 1. It provides citations, cleanly, in context 2. It has the persona of a sharp human instead of an intolerable customer service agent. 3. It is useful (and sufferable) across a wide variety of domains. The citations are a bigger deal than they sound at first. I could of course google anything ChatGPT tells me and check the results, but that's costly. I have to spin up a new mental thread (and browser tab), sort through Google's increasingly shitty results, remember what claim I'm trying to check… the process eats up a lot of working memory at a time when it is scarce. If I wanted to trawl a sea of content farms I would have gone to Google in the first place. Perplexity's high quality inline citations solve that . Want to check if a claim is justified? Click the number next to it and look for the relevant quote. Not a perfect substitute for a 30 hour literature search, but a lot of power per minute. I don't have to spin up a new mental thread, so the whole thing feels much lower friction. Also thus far I've never caught it in a hallucination on a question of fact, although if real answers are scarce it will sometimes do the thing where it draws increasingly tenuous connections instead of just telling me no. I also found perplexity easier to talk to while trying to learn some math and math history. It felt about as useful as my human tutor- better at some things, worse at others. Test Questions The real test was which AI do I find myself using, and the answer to that is definitively Perplexity. But just for fun or in case I was wrong, I ran a few questions Perplexity through all major engines to see what they said. In all cases I used the top free model available. I have Perplexity Pro thanks to a promo, but I haven't ended up finding Pro to be much of an improvement. I do expect to use the pro-only PDF-analysis tool in the near future. Comments from me are in italics and [brackets] How do fractals relate to chaos theory? I have a project investigating chaos theory as a case study in the development of scientific/mathematical paradigms. This doesn't require I become a mathematician, but I do need to understand how discoveries relate to each other and generally not be an idiot on the topic. Perplexity is my always available, infinitely patient tutor. This should have been a challenging role for an AI to fill, because I have a friend who loves explaining math more than almost anything, and did his PhD in a related area. I even feel comfortable looking stupid in front of him. And yet Perplexity still had a value add, because it was never offline and I didn't feel a need to respect its time the way I would a friend's. Perplexity (link to result including citations) Fractals and chaos theory are closely intertwined concepts in mathematics and physics, with several key connections: Self-Similarity and Complex Patterns Fractals are geometric objects that exhibit self-similarity across different scales, meaning smaller parts resemble the whole. This property is often found in chaotic systems, where complex patterns emerge from simple rules. Visualization of Chaotic Processes Fractals frequently arise as visual representations of chaotic systems: The Feigenbaum diagram, which illustrates population dynamics in chaos theory, displays fractal-like structures. The Mandelbrot set, a famous fractal, is closely related to chaotic processes and can be used to visualize complex number behavior in iterative functions. Characteristics of Co...
Link to original articleWelcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Perplexity wins my AI race, published by Elizabeth on August 24, 2024 on LessWrong. Perplexity is the first generalized AI chatbot I've found useful enough to integrate into any part of my daily workflow, much less across multiple domains. It speeds me up enough that I'm planning an increase in my freelancing rate. Perplexity has three key advantages: 1. It provides citations, cleanly, in context 2. It has the persona of a sharp human instead of an intolerable customer service agent. 3. It is useful (and sufferable) across a wide variety of domains. The citations are a bigger deal than they sound at first. I could of course google anything ChatGPT tells me and check the results, but that's costly. I have to spin up a new mental thread (and browser tab), sort through Google's increasingly shitty results, remember what claim I'm trying to check… the process eats up a lot of working memory at a time when it is scarce. If I wanted to trawl a sea of content farms I would have gone to Google in the first place. Perplexity's high quality inline citations solve that . Want to check if a claim is justified? Click the number next to it and look for the relevant quote. Not a perfect substitute for a 30 hour literature search, but a lot of power per minute. I don't have to spin up a new mental thread, so the whole thing feels much lower friction. Also thus far I've never caught it in a hallucination on a question of fact, although if real answers are scarce it will sometimes do the thing where it draws increasingly tenuous connections instead of just telling me no. I also found perplexity easier to talk to while trying to learn some math and math history. It felt about as useful as my human tutor- better at some things, worse at others. Test Questions The real test was which AI do I find myself using, and the answer to that is definitively Perplexity. But just for fun or in case I was wrong, I ran a few questions Perplexity through all major engines to see what they said. In all cases I used the top free model available. I have Perplexity Pro thanks to a promo, but I haven't ended up finding Pro to be much of an improvement. I do expect to use the pro-only PDF-analysis tool in the near future. Comments from me are in italics and [brackets] How do fractals relate to chaos theory? I have a project investigating chaos theory as a case study in the development of scientific/mathematical paradigms. This doesn't require I become a mathematician, but I do need to understand how discoveries relate to each other and generally not be an idiot on the topic. Perplexity is my always available, infinitely patient tutor. This should have been a challenging role for an AI to fill, because I have a friend who loves explaining math more than almost anything, and did his PhD in a related area. I even feel comfortable looking stupid in front of him. And yet Perplexity still had a value add, because it was never offline and I didn't feel a need to respect its time the way I would a friend's. Perplexity (link to result including citations) Fractals and chaos theory are closely intertwined concepts in mathematics and physics, with several key connections: Self-Similarity and Complex Patterns Fractals are geometric objects that exhibit self-similarity across different scales, meaning smaller parts resemble the whole. This property is often found in chaotic systems, where complex patterns emerge from simple rules. Visualization of Chaotic Processes Fractals frequently arise as visual representations of chaotic systems: The Feigenbaum diagram, which illustrates population dynamics in chaos theory, displays fractal-like structures. The Mandelbrot set, a famous fractal, is closely related to chaotic processes and can be used to visualize complex number behavior in iterative functions. Characteristics of Co...
…where we talk about infectious diseases, mentorship and mathematical tattoos. Professor Stacey Smith? is an infectious disease modeler who appreciates the real world impacts that math biology can have. She leads educational and mentorship programming at the SMB and apparently never says no to anything SMB related. We caught Stacey at SMB 2024 in South Korea to talk about her research, life-changing transitions, and being a Whovian. Check out Stacey's website for science, articles and Sci-Fi nerdiness: mysite.science.uottawa.ca/rsmith43/ And for those curious about the tattoo, read more about the Mandlebrot set: wikipedia.org/wiki/Mandelbrot_set Find out more about SMB on: The website: smb.org Twitter: @smb_mathbiology Facebook: @smb.org Linkedin: @smb_mathbiology The Bulletin of Mathematical Biology
Welcome back to Higher Density Living. In this episode, Alexander and Jason discuss the essence of meditation. This episode underscores the enduring importance of recognizing internal growth and learning, which persist regardless of external outcomes. Regardless on the setbacks in the external, internal progress contributes significantly to personal development and resilience. The statement delves into the profound concept of internal successes and the disciplined pursuit of joy, offering insightful perspectives on transcending the confines of time. Meditation underscores the transformative power of living in the present moment, wherein every action carries profound implications for future trajectories. By cultivating an awareness of the immediate consequences of our choices, we gain agency in shaping a future imbued with truth, love, and wisdom. Alexander and Jason challenge conventional notions of success and failure. They invite us to the contemplation on the intrinsic value of a life lived authentically, unfettered by the relentless pursuit of external validation. Through this lens, the pursuit of joy emerges not as a fleeting indulgence but as a disciplined practice rooted in mindfulness and conscious living. In essence, transcending the constraints of time and societal expectations, individuals are empowered to forge their own path towards fulfillment and inner harmony. The prevalence of consumerism, often labeled as a repetitive ideology akin to addiction, proves transient like junk food. The key lies in transcending consumeristic tendencies, prioritizing present actions and choices aligned with personal well-being. Reflecting on decisions and their alignment with long-term happiness fosters mindful living, prompting consideration of what truly serves individual growth and fulfillment. Such introspection extends to behaviors like excessive spending, substance abuse, or dishonesty, questioning their true benefits to individual flourishing. Overconsumption can be negated through meditation. It is the nourishment of the physical and spiritual. The pursuit of happiness and perseverance in the face of challenges, emphasizes the importance of staying true to one's mission and purpose. The transformative power of meditation as the sole pathway from separation to unity. They assert that meditation should be an essential practice for every individual, dispelling common misconceptions about its complexity. The concept of concentration, highlighting its role in deepening understanding and integration of various aspects of life. They caution against fragmenting oneself, advocating for the recognition of the interconnectedness of body, mind, and actions. Using the Mandelbrot fractal as a metaphor, they illustrate the holistic nature of existence, urging listeners to stop compartmentalizing and start concentrating. Mediation also underscores the importance of fidelity to the internal voice. This voice evokes gentleness and profoundness, emanating from a boundless realm of truth. The need to quiet the mind must listen attentively to this voice, as it offers insights and guidance for proper meditation. Additionally, Meditation is a journey of concentration and truth-seeking, rooted in the ancient practice. It is a practice of concentrated focus, devoid of ideological constraints. Meditation can also extend from various modalities, ranging from walking meditations to mantra repetitions, emphasizing the importance of experimentation and enjoyment in the learning process. Rejecting judgment, they urge individuals to explore various techniques and persevere in their practice, even if initial attempts may seem unsuccessful. The challenge to the mind in today's hyper-connected society is finding simple solutions to naturally induce meditative states. The transformational process of such experiences, wherein interconnectedness with nature, can achieve moments of profound peace and unity. Furthermore, they stress the importance of exercising free will to remove oneself from situations that disrupt inner peace. Ultimately, Alexander and Jason demystifies meditation, portraying it as a versatile practice accessible to all, regardless of spiritual beliefs or lifestyle preferences. They encourage listeners to embark on their meditation journey with curiosity, resilience, and a willingness to embrace peace and self-discovery. We encourage our listeners to embrace introspection and curiosity to grow as they navigate the complexities of life. As always, Higher Density Living reserves no dogma because only the truth prevails in the universe. History is judged by enlightened communities, and the Higher Density Living podcast is committed to the same cause. You are the center of the universe. Thank you for joining us on this cosmic journey, and we look forward to sharing more fascinating topics with you in the future. Stay tuned for more episodes where we delve into the profound principles that shape our existence. Remember to like, share, and subscribe for more mind-expanding content!
I saw the video from Neil TysonAnd he is explaining in precise words: The religions are correct: For spiritual purposes. For giving faith.Forgoing beyond worldly matters.For finding spiritual happiness.To become humble in front of the creator. To connect with the divine.To become honest and humble. And that proves even the greatest scientific geniuses.Like Kopernikus, Einstein, Tesla, Leonardo Da Vinci, Newton…Religions have nothing to do with science!We cannot let the Religions dictate what is scientifically true or wrong!Even so, science is 97% wrong!Only 3% remain true for longer than 5 years! People give up their faith in God and prefer science to be true!Life is not logical. We live in chaos that has some order! (Google: Images, Order in Chaos, Mandelbrot, fractal geometry). There are indefinite more irrational numbers than rational numbers.Why do even the greatest geniuses submit that there is a force, power that is beyond themselves? It is absolute nonsense that science should prove God's existence…Science is looking for trueness and is mainly always wrong … But through science, we discover and develop so much more opportunities, that science makes sense!I have learned as an engineer to create a model from/for the reality that should be as simple as possible.And that model is good enough if this model is true for only one aspect, even though there exist millions of aspects.We have learned:What we can watch, that we can control!What we cannot watch in every aspect, we never can control…!What can we watch in every aspect?Nearly nothing, compare to the things that exist…So, we never can prove that God is true! My Video: Science and God https://youtu.be/ujvD-ihBYVUMy Audio: https://divinesuccess.net/wp-content/uploads/2021/Podcast2/Science-and-God.mp3
Episode: 3294 How the length of coastlines depend on how you measure them. Today, how long is a coastline?
How they draw the majority to a bad idea and force decisions to guide the populace. This happens when people don't think for themselves. The math problem that has no plan. The constant tugging towards war. The secret code of the Christian world view. The Mandelbrot set. An infinite repeating structure and self propagating program that never ends. Everything comes down to the math. Our bodies are molecular code. Understanding the coming war means knowing data. The fundamentals of how things operate. DNA harvesting parties was Hunter's thing. The big data base we're all in. Covid is not the biggest thing. Deja Vu will be incoming soon. Black swan events and other things. Hijacked grids become tools. Elon's brain links will look pedestrian. It's time to make your own choices. A crisis that was planned can be used against them. The seven nation army is coming. Nothing will remain hidden. Focus on you when you make big decisions, not someone else's content. This will all make sense a little bit later. Be the change that's coming. Take proactive steps to prepare and learn. It is always the best defense.
Jenny and I chat again with Rachael Thomas, a brilliant mathematician God brought into our life "by chance." THIS time we discuss Fractals and the Mandelbrot set. Link to the sample of the Fractal book by Dr. Jason Lisle: http://tinyurl.com/4n2z8vtr Link to YouTube video by Dr. Jason Lisle: The Secret Code of Creation - Dr. Jason Lisle - YouTube BOOKS BY Dr. JOHN WISE PARADISE LOST: The Machinery of Evil ... https://a.co/d/dO66hPa THROUGH THE LOOKING GLASS: The Imploding of an Atheist Professor's Worldview ... https://a.co/d/dqmK8CT For relaxing content, check out our photography channel featuring our photographs of the day ... https://www.youtube.com/channel/UC_9GPi4HTqoZ8xFgTldbBaA If you enjoy our content, consider donating through PayPal via https://ko-fi.com/thechristianatheist https://www.youtube.com/c/TheChristianAtheist/featured https://www.facebook.com/JnJWiseWords https://wisewordsforyouroccasion.wordpress.com #thechristianatheist #drjohndwise #drjohnwise #johnwise #christian #atheist #christianity #atheism #jesus #jesuschrist #god #bible #oldtestament #newtestament #nocompromise #rationality #faith #philosophy #philosopher #culture #society #hegelism #hegelianism #hegel #reason #incarnation #history#psychology #theology #literature #humanities #hardquestions #postmodernism #woke #wisdom #ethics #science #poetry #paradox #oxymoron
Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers, published by Yitz on January 17, 2024 on LessWrong. Note: This post assumes you've heard of the Mandelbrot set before, and you want to know more about it, but that you find imaginary and complex numbers (e.g. the square root of negative one) a bit mystifying and counterintuitive. Instead of helping you understand the relevant math like a reasonable person would, I'm just going to pretend the concept doesn't exist, and try to explain how to generate the Mandelbrot set anyway. My goal is for this post to (theoretically) be acceptable to the historical René Descartes, who coined the term "Imaginary number" because he did not believe such things could possibly exist. I hereby formally invite you to a dance. Since we're (presumably) both cool, hip people, let's go with a somewhat avant-garde dance that's popular with the kids these days. I call this dance the Mandelbrot Waltz, but you can call it whatever you'd like. This dance follows very simple rules, with the quirk that your starting location will influence your part in the dance. You will unfortunately be cursed to dance forever (there's always a catch to these dance invitations!), but if you ever touch the edges of the dance floor, the curse will be lifted and your part in the dance ends, so it's really not all that bad... In case you don't already know the moves, I'll describe how to do the dance yourself (if given an arbitrary starting point on the dance floor) step-by-step. How To Perform The Mandelbrot Waltz: A Step-By-Step Guide Preparation: You will need: Yourself, an empty room, and a drawing tool (like chalk or tape). Setup: Draw a line from the center of the room to the nearest part of the wall, like so: Now, draw a circle around the room's center, such that it intersects the "orienting line" halfway through. It should look something like this: Starting Position: Choose a starting point anywhere you want in the room. Remember this position - or jot it down on a notepad if your memory is bad - for later. Step 1 - Rotation Doubling: Imagine a line connecting your current position to the center of the circle: Find the orienting line we drew on the floor earlier, and measure, counterclockwise, the angle between it and your new imaginary line. Rotate yourself counterclockwise by that same angle, maintaining your distance from the center, like so: It's okay if you end up making more than a full 360° rotation, just keep on going around the circle until you've doubled the initial angle. For example (assuming the red point is your original position, and the black point is where you end up): It should be intuitively clear that the further counterclockwise your starting point is from the orienting line, the further you'll travel. In fact, if your starting point is 360° from the orienting line--meaning you start off directly on top of it--doubling your angle will lead you 360° around the circle and right back to where you started. And if you have a lot of friends doing Step 1 at the same time, it will look something like this: Step 2 - Distance Adjustment: Imagine a number line, going from 0 onward: Take the number line, and imagine placing it on the floor, so that it goes from the center of the room towards (and past) you. The end of the line marked with number 0 should be at the center of the room, and the number 1 should land on the perimeter of the circle we drew. It should look something like this: Note the number on the number line that corresponds to where you're standing. For instance, if you were standing on the red dot in the above example, your current number value would be something like 1.6 or so. (I totally didn't cheat and find that number by looking at my source code.) Now, take that number, and square it (a.k.a. multiply that n...
Link to original articleWelcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers, published by Yitz on January 17, 2024 on LessWrong. Note: This post assumes you've heard of the Mandelbrot set before, and you want to know more about it, but that you find imaginary and complex numbers (e.g. the square root of negative one) a bit mystifying and counterintuitive. Instead of helping you understand the relevant math like a reasonable person would, I'm just going to pretend the concept doesn't exist, and try to explain how to generate the Mandelbrot set anyway. My goal is for this post to (theoretically) be acceptable to the historical René Descartes, who coined the term "Imaginary number" because he did not believe such things could possibly exist. I hereby formally invite you to a dance. Since we're (presumably) both cool, hip people, let's go with a somewhat avant-garde dance that's popular with the kids these days. I call this dance the Mandelbrot Waltz, but you can call it whatever you'd like. This dance follows very simple rules, with the quirk that your starting location will influence your part in the dance. You will unfortunately be cursed to dance forever (there's always a catch to these dance invitations!), but if you ever touch the edges of the dance floor, the curse will be lifted and your part in the dance ends, so it's really not all that bad... In case you don't already know the moves, I'll describe how to do the dance yourself (if given an arbitrary starting point on the dance floor) step-by-step. How To Perform The Mandelbrot Waltz: A Step-By-Step Guide Preparation: You will need: Yourself, an empty room, and a drawing tool (like chalk or tape). Setup: Draw a line from the center of the room to the nearest part of the wall, like so: Now, draw a circle around the room's center, such that it intersects the "orienting line" halfway through. It should look something like this: Starting Position: Choose a starting point anywhere you want in the room. Remember this position - or jot it down on a notepad if your memory is bad - for later. Step 1 - Rotation Doubling: Imagine a line connecting your current position to the center of the circle: Find the orienting line we drew on the floor earlier, and measure, counterclockwise, the angle between it and your new imaginary line. Rotate yourself counterclockwise by that same angle, maintaining your distance from the center, like so: It's okay if you end up making more than a full 360° rotation, just keep on going around the circle until you've doubled the initial angle. For example (assuming the red point is your original position, and the black point is where you end up): It should be intuitively clear that the further counterclockwise your starting point is from the orienting line, the further you'll travel. In fact, if your starting point is 360° from the orienting line--meaning you start off directly on top of it--doubling your angle will lead you 360° around the circle and right back to where you started. And if you have a lot of friends doing Step 1 at the same time, it will look something like this: Step 2 - Distance Adjustment: Imagine a number line, going from 0 onward: Take the number line, and imagine placing it on the floor, so that it goes from the center of the room towards (and past) you. The end of the line marked with number 0 should be at the center of the room, and the number 1 should land on the perimeter of the circle we drew. It should look something like this: Note the number on the number line that corresponds to where you're standing. For instance, if you were standing on the red dot in the above example, your current number value would be something like 1.6 or so. (I totally didn't cheat and find that number by looking at my source code.) Now, take that number, and square it (a.k.a. multiply that n...
Jenny and I chat again with Rachael Thomas, a brilliant mathematician God brought into our life "by chance." THIS time we discuss Fractals and the Mandelbrot set. Link to the sample of the Fractal book by Dr. Jason Lisle: http://tinyurl.com/4n2z8vtr Link to YouTube video by Dr. Jason Lisle: The Secret Code of Creation - Dr. Jason Lisle - YouTube BOOKS BY Dr. JOHN WISE PARADISE LOST: The Machinery of Evil ... https://a.co/d/dO66hPa THROUGH THE LOOKING GLASS: The Imploding of an Atheist Professor's Worldview ... https://a.co/d/dqmK8CT For relaxing content, check out our photography channel featuring our photographs of the day ... https://www.youtube.com/channel/UC_9GPi4HTqoZ8xFgTldbBaA If you enjoy our content, consider donating through PayPal via https://ko-fi.com/thechristianatheist https://www.youtube.com/c/TheChristianAtheist/featured https://www.facebook.com/JnJWiseWords https://wisewordsforyouroccasion.wordpress.com #thechristianatheist #drjohndwise #drjohnwise #johnwise #christian #atheist #christianity #atheism #jesus #jesuschrist #god #bible #oldtestament #newtestament #nocompromise #rationality #faith #philosophy #philosopher #culture #society #hegelism #hegelianism #hegel #reason #incarnation #history#psychology #theology #literature #humanities #hardquestions #postmodernism #woke #wisdom #ethics #science #poetry #paradox #oxymoron
Bob continues his miniseries, focusing on John 1: 1-5. Bob makes the case that we should be marveling at the unreasonable effectiveness of semantics in the social sciences. There is meaning packed into every field of human inquiry, and this sheds light on the prologue to the gospel of John.Mentioned in the Episode and Other Links of Interest:The previous episode in this series, i.e. BMS ep 304, installment 1, introduction.Dawkins talking to Steve Pinker on language acquisition.Bob's conversation with GPT-4."Why Math Works."A video on imaginary interest rates (relevant to Euler's identity). A video from the same series on Euler's formula.BMS ep 138, "Why the Left Hates Christianity." BMS ep 303, "Jonathan Bartlett on Random Mutations Not Being So Random." BMS ep 257 on Hans Hoppe and synthetic a priori.An excellent introduction to how Large Language Models work. How neural networks work (example of reading handwritten numerals).A good example of a cool YouTube video on the Mandelbrot set.Study notes for Daniel Dennett's Consciousness Explained.Help support the Bob Murphy Show.
Benoit Mandelbrot's "The Misbehavior of Markets" is a groundbreaking work in the field of finance that has changed the way millions perceive the dynamics of financial markets. Filled with thought-provoking insights and real-life market observations, the book challenges conventional financial theories and introduces the concept of fractal geometry. Mandelbrot enlightens readers on how markets, much like natural phenomena, exhibit fractal patterns, inviting them to view the markets through a new lens of unpredictability and complexity. Through fractal geometry, readers learn to appreciate the markets' inherent 'wildness' and 'roughness', leading them to a more realistic understanding of market risks and rewards.
در هفتمین قسمت رادیو چیستا، به سراغ اسطوره آفرینش اقوام شمالی (اسکاندیناوی) میریم، میبینیم که چطور اونها آفرینش رو حاصل تعامل نیروهای متعارض (و نه تضاد اونها) میبینند و نظم موجود در جهان و سرنوشت محتوم بشر رو حاصل یک سلسله وقایع آشوبناک میدونند. سپس نگاهی به این سوال بنیادی میکنیم که در شرایط آشوبناک، چطور میشه سرنوشت رو پیشبینی کرد، و این ما رو به یکی از جالبترین نظریات ریاضیات نوین به نام «نظریه آشوب» هدایت میکنه ... خالق: سهراب مصاحبی تیم تولید: فراز محسنی، سوشیانت شهریاری، سکینه رضا گوینده میزبان: سهراب مصاحبی گویندگان مهمان: مرضیه فروزانتبار، سوشیانت شهریاری موسیقیها (به ترتیب): 1. Chista / Sohrab mosaheB 2. Crusade / Kevin McLeod 3. Thunder / Telecasted 4. Chaos / NOKTVA منابع: Gleick, James. Chaos. Minerva, 2017. Mandelbrot, Benoît, Richard L. Hudson, and Eric Grunwald. "The (mis) behaviour of markets." A Fractal View of Risk, Ruin and Reward. L.: Profile Books (2005). McCoy, Daniel. The Viking Spirit: An Introduction to Norse Mythology and Religion. CreateSpace Independent Publishing Platform, 2016. حمایت مالی از رادیو چیستا تماس با رادیو چیستا
1. Abelian Group: Actual Definition: An Abelian group, named after Niels Henrik Abel, is a group in which the binary operation is commutative, meaning that for all elements a and b in the group, a * b = b * a. Etymological Definition and Derivation: The term "Abelian" pays homage to the Norwegian mathematician Niels Henrik Abel, who made significant contributions to the theory of equations and group theory. The word "Abelian" is derived from the Latin word "Abelius," signifying Abel's enduring legacy. 2. Euclidean Geometry: Actual Definition: Euclidean geometry, introduced by the ancient Greek mathematician Euclid, is a branch of mathematics that deals with properties, relationships, and measurements of points, lines, angles, and surfaces in the plane and space, based on Euclid's five postulates. Etymological Definition and Derivation: "Euclidean" honors the legendary Greek mathematician Euclid, a beacon of geometrical elucidation. Rooted in the Greek term "Euclides," it resonates with the man's enduring dedication to the exploration of space. 3. Calculus: Actual Definition: Calculus is a branch of mathematics that explores the concepts of limits, derivatives, integrals, and infinite series, enabling the analysis of change and accumulation in various contexts. Etymological Definition and Derivation: "Calculus" emerges from the Latin "calculus," a diminutive of "calx," meaning a small stone used in counting and calculations. It was birthed by minds like Newton and Leibniz, who sculpted this art of calculation to harness the elusive infinitesimal. 4. Topology: Actual Definition: Topology is a field of mathematics that examines the properties of space that are preserved under continuous deformations, including concepts like continuity, convergence, compactness, and connectedness. Etymological Definition and Derivation: "Topology" emerges from the Greek roots "topos" (place) and "logos" (study), a testament to the exploration of spatial relations. Its true essence resides in the intimate scrutiny of shapes' essence beyond rigid measurements. 5. Eigenvalue: Actual Definition: In linear algebra, an eigenvalue of a matrix represents a scalar value that characterizes how a matrix transforms a vector, with the vector only scaling by the eigenvalue during the transformation. Etymological Definition and Derivation: "Eigenvalue" springs from the German "eigen," meaning inherent or characteristic, and "value." It encapsulates the distinct nature of values that a matrix uniquely possesses, much like a signature of its intrinsic behavior. 6. Homomorphism: Actual Definition: A homomorphism is a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces, that preserves the operations and relationships between elements. Etymological Definition and Derivation: "Homomorphism" finds its roots in the Greek "homos" (same) and "morphē" (form). This term embodies the lofty concept of maintaining similarity, preserving the integrity of structures across mathematical realms. 7. Fractal: Actual Definition: A fractal is a complex geometric shape or pattern that displays self-similarity at various scales, exhibiting intricate detail regardless of the level of magnification. Etymological Definition and Derivation: "Fractal" derives from the Latin "fractus," meaning broken or fractured. Coined by Benoît B. Mandelbrot, this term encapsulates the enigmatic beauty of structures that break free from the linear constraints of Euclidean space. --- Support this podcast: https://podcasters.spotify.com/pod/show/liam-connerly/support
Hello Interactors,My last post on fractals led me to refamiliarized myself with the man who coined the term, Benoit Mandelbrot, and his influential work on the fractal-like wonders of nature. I didn't realize he was following in the footsteps of 19th century mathematicians critical of the absolutist purity of Euclidean geometry – themes I recently explored here and here. My journey led me to a memory of a plane landing on a plane and the complexities that surface on the surface.Please don't be shy. Leave a comment or a like. Or just hit reply with a smiley face and a hello!Now let's go…I have a childhood memory, fueled by a crayon drawing, of watching a plane land at the Des Moines airport. My dad was returning home after a business trip. Over time, this memory transformed into a riddle most likely inspired by high school calculus. The riddle posed a question: as the distance between the plane and the runway progressively decreases, when does it equal zero? My pondering was rooted in the observation that, at a microscopic level, the rubber of the tire and the rough surface of the concrete never truly merge into zero. The presence of black streaks on the tarmac from rubber left behind served as evidence. According to classical physics, at an atomic level, the distance between a landing plane and the runway approaches zero but never truly reaches it.This is because the outermost electron clouds of the atoms in both the tires and the runway surface repel each other due to electromagnetic forces, creating a minute gap between them, measured in angstroms (10 to the power of -10 meters). However, from a practical standpoint, classical mechanics tells us that at a macroscopic level, the plane does make contact with the runway and eventually comes to a stop. Classical mechanics focuses on the behavior of objects on a larger scale, which outweighs the effects observed at the microscopic level. The mechanics of "touchdown" do not rely on atomic physics to achieve zero distance for the safe arrival of our loved ones.In my childhood crayon drawings, I depicted the runway as a straight line and the plane's wheels as a circle. Yet, this representation itself is a macroscopic interpretation of reality. If we were to examine my marks with a magnifying glass, we would see fragmented wax resting on the textured paper's peaks and valleys rather than perfectly straight lines or round circles. Similarly, we would find fragments of rubber deposited on the peaks and valleys of the concrete runway.In the realm of high school calculus, the line representing the runway and the circle representing the wheel would be precisely drawn on rigid gridded paper using a plastic flowchart template, akin to the tools my dad used to pseudocode his COBOL programs he no doubt was debugging with his colleagues in Toronto.Mathematically, I would have described the landing as the height of the plane decreasing as a function of time, incorporating concepts like velocity and acceleration. This interplay between decreasing height and time signifies the plane's motion until it decelerates and reaches a minimum altitude, indicating touchdown. I would have positioned the circle of my plastic template precisely on the flat line, accompanied by an equation describing the moment of touchdown.However, in 1982, two years before I was in calculus and the year I was learning geometry, mathematician Benoit B. Mandelbrot published "The Fractal Geometry of Nature," a highly influential book. Mandelbrot's work highlighted the importance of mathematics that deviated from the traditional Euclidean curves and shapes. Introduced by ‘modern' mathematicians like Georg Cantor and Giuseppe Peano a century earlier, the days of regarding mathematics as absolutely pure and unquestioning were being questioned.Mandelbrot offers why we were set on this smooth, well-worn trajectory of Euclidian mathematical purity,“The fact that mathematics, viewed by its own creators as ‘absolutely pure,' should respond so well to the needs of science is striking and surprising but follows a well-worn pattern. That pattern was first set when Johannes Kepler concluded that, to model the path of Mars around the Sun, one must resort to an intellectual plaything of the Greeks–the ellipse. Soon after, Galileo concluded that, to model the fall of bodies toward the Earth, one needs a different curve–a parabola. And he proclaimed that ‘the greatest book [of nature]...is written in mathematical language and the characters are triangles, circles and other geometric figures…without which one wanders in vain through a dark labyrinth.' In the pithy words of Scottish biologist D'Arcy Thompson: ‘God always geometrizes.'”Of the work of Cantor's set theory and Peano's space-filling curves, the theoretical physicist and mathematician Freeman J Dyson wrote,“These new structures were regarded by contemporary mathematicians as ‘pathological.' They were described as a ‘gallery of monsters,' kin to the cubist painting and atonal music that were upsetting established standards of taste in the arts at about the same time. The mathematicians who created the monsters regarded them as important in showing that the world of pure mathematics contains a richness of possibilities going far beyond the simple structures that they saw in nature.”Mandelbrot's research delved into the exploration of fractals, which he described as broken shapes, distinct from the smooth Euclidean curves. These fractals opened new possibilities, allowing for the modeling of complex phenomena found in nature. Mandelbrot's fractal geometry was brought to life through computer-generated images of landscapes and clouds, reflecting the generative algorithms found in nature. These images showcased the jagged, impure, and fractured lines that emerged, challenging the simplicity of Euclidean shapes.Mandelbrot emphasized that drawing a line between just two points on a square Euclidean plane oversimplifies reality. Instead, he considered the fracturing that occurs when lines connect every point in a square or a cube. In fact, the term "fractal" itself derives from the Latin adjective "fractus," meaning "broken." Mandelbrot highlighted the relevance of fractals lying between the shapes of Euclid, akin to fractions lying between integers.Mandelbrot offers that “When mathematicians concluded about a century ago that the seemingly simple and innocuous notion of ‘curve' hides profound difficulties, they thought they were engaging in unreasonable and unrealistic hairsplitting. They had not determined to look out at the real world to analyze it, but to look in at an ideal in the mind. The theory of fractals shows that they had misled themselves.”Mandelbrot's work demonstrated that the seemingly simple crayon drawing of my dad's plane landing concealed profound difficulties. My self-imposed brain teaser was was not an exercise in unreasonable hair-splitting, but rather an analysis of the real world. Fractals, I now know, provide a mathematical framework to quantify irregularities found in natural structures and allow for the analysis and modeling of complex systems exhibiting patterns at different scales.Mandelbrot's groundbreaking ideas expanded on Cantor and Peano to illuminate the vast possibilities and richness of mathematics beyond the limitations of traditional Euclidean structures. These concepts empower us to better understand the complexities of the natural world and prevent us from being misled by overly idealized notions. Thanks to their work, we are better equipped to explore and comprehend the intricate beauty of the natural world. Even the jagged wax deposits of the line depicting a runway in my childhood drawing. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit interplace.io
BG cast Wednesday livestream. Today I break down how we've manifested false reality around us, the ways out, and my new edition, and original many worlds/lands theory, which I use physics and math to break down..Check out Forbidden Knowledge Network!www.Forbiddenknowledge.newscheck out milagro mushrooms!www.milagromushrooms.comlinks from the video:https://outpost-of-freedom.com/library/SimpleSabotageFieldManualOSS1944.pdfhttps://www.youtube.com/watch?v=gKxpE6-x8uo&t=181shttps://en.wikipedia.org/wiki/Mandelbrot_sethttps://en.wikipedia.org/wiki/Fractal_cosmologyhttps://www.scientificamerican.com/article/is-the-universe-made-of-math-excerpt/http://www.librarising.com/flat/worldsbeyond.html I do not own the songArtist: Carpenter Brut, Song: maniac
VYS0020 | Messages of Deception - Vayse to Face with Mark Pilkington - Show Notes If you don't know Mark Pilkington by name, chances are you will be familiar with some of his work: he's the author of the seminal history of deception and misinformation throughout the history of the UFO phenomenon, Mirage Men, and producer of the documentary of the same name, he runs Strange Attractor Press, the diverse, beloved and well respected counterculture publisher, he's a journalist, having written for the Fortean Times, the Guardian and Bizarre Magazine amongst others, and he also records and performs music with Teleplamsiste, Luminous Foundation and the Begotten. In this episode Hine and Buckley chat to Mark about the legacy of Mirage Men, which is having a moment again with the tenth anniversary of the documentary falling this year, the recent release of the audiobook and continued favourable nods in the occultosphere and beyond. The conversation also takes turns into the way misinformation is now a pervasive part of our everyday lives, Mark's ideas about the nature of the phenomenon itself and his experiences as a crop circle hoaxer... recorded 7 March 2023 Mark Pilkington Links Mark Pilkington on Twitter (https://twitter.com/markopilkington?s=21&t=q2-c9hjD5sIXynDdaJB8PQ) Strange Attractor Press (http://strangeattractor.co.uk/) Mirage Men (https://uk.bookshop.org/p/books/mirage-men-a-journey-into-disinformation-paranoia-and-ufos-mark-pilkington/2148784?ean=9781845298579) by Mark Pilkington Mirage Men Audiobook (https://www.audible.co.uk/pd/Mirage-Men-Audiobook/1405549556?ipRedirectOverride=true&overrideBaseCountry=true&bp_o=true&source_code=M2M30DFT1Bk13010142102TD&gclid=CjwKCAjw0ZiiBhBKEiwA4PT9z66tMeWzeo6Ssu-yqAzST0IYPMPRoZlsodiZxbkIIX60WGah3c4xgBoCkq8QAvD_BwE&gclsrc=aw.ds) Mirage Men DVD (http://strangeattractor.co.uk/shoppe/mirage-men-dvd/) Mirage Men on Vimeo (https://vimeo.com/ondemand/miragemen) Mirage Men Blog (https://miragemen.wordpress.com/) Frequency is the New Ecstasy (https://teleplasmiste.bandcamp.com/album/frequency-is-the-new-ecstasy) by Teleplasmiste (https://teleplasmiste.bandcamp.com/album/science-religion) Other Links The Austin Osman Spare Tarot Deck (https://www.kickstarter.com/projects/strangeattractoruk/austin-osman-spare-occult-tarot-deck-and-book) High Weirdness (http://strangeattractor.co.uk/shoppe/high-weirdness/) by Erik Davis Purgatory (http://strangeattractor.co.uk/shoppe/purgatory/) by Ken Hollings North (http://strangeattractor.co.uk/shoppe/north/) by Gyrus The Pepsi-Cola Addict (http://strangeattractor.co.uk/shoppe/the-pepsi-cola-addict/) by June-Alison Gibbons David Tibet (https://www.davidtibet.com/) Current 93 (https://current931.bandcamp.com/) Jamie Sutcliffe (https://linktr.ee/jamierobertsutcliffe) An Overview of Project Serpo (https://nostradamus.fandom.com/wiki/Project_Serpo) The Haunted Objects Podcast (https://www.youtube.com/playlist?list=PLU4VP9oB7c9iKhby8HdRbwP0dF8O9eGt2) Parcast Unexplained Mysteries - UFOs and the Mirage Men pt.1 (https://open.spotify.com/episode/4heJWlPvOMTzGFKTyd2YGv?si=3f67b2e0848e48bf) Parcast Unexplained Mysteries - UFOs and the Mirage Men pt.2 (https://open.spotify.com/episode/3J3QTUh16JBmu0AWaFpOuy?si=093bcf5cc85e4a2c) HyperNormalisation (https://www.youtube.com/watch?v=thLgkQBFTPw) by Adam Curtis Wikipedia entry for John Lundberg (https://en.wikipedia.org/wiki/John_Lundberg) Laughlin UFO Mega Conference (https://www.facebook.com/events/141005227976051/) on Facebook IMDB entry for Richard Doty (https://www.imdb.com/name/nm3288913/) Wikipedia entry for Paul Bennewitz (https://en.wikipedia.org/wiki/Paul_Bennewitz) Wikipedia Entry for the Roswell Incident (https://en.wikipedia.org/wiki/Roswell_incident) Wikipedia Entry for George Adamski (https://en.wikipedia.org/wiki/George_Adamski) BBC News Article about the U-2 Bomber and Area 51 (https://www.bbc.co.uk/news/world-us-canada-23731759) History Channel Article on Black Triangle UFOs (https://www.history.com/news/black-triangle-ufos-facts) Wikipedia Article on Radar Spoofing (https://en.wikipedia.org/wiki/Radar_jamming_and_deception) Popular Science Article - The stealth helicopters used in the 2011 raid on Osama Bin Laden are still cloaked in mystery (https://www.popsci.com/story/technology/osama-bin-laden-raid-anniversary-stealth-helicopters/) Wikipedia Article on Cattle Mutilation (https://en.wikipedia.org/wiki/Cattle_mutilation) Close Encounters of the Third Kind Trailer (https://www.youtube.com/watch?v=dSpQ3G08k48) Wikipedia Article on the Famous Five (https://en.wikipedia.org/wiki/The_Famous_Five) War of the Worlds (https://uk.bookshop.org/p/books/the-war-of-the-worlds-h-g-wells/92913?ean=9780008590178)by HG Wells Dracula (https://uk.bookshop.org/p/books/dracula-bram-stoker/169855?ean=9780393871555) by Bram Stoker Usborne Guide to the Supernatural World (https://www.abebooks.co.uk/9780860202929/Supernatural-World-Mysterious-Powers-Strange-0860202925/plp)by E Maple - a steal at £300 Forbidden Planet (https://forbiddenplanet.com/) Fortean Times (https://subscribe.forteantimes.com/) Magonia Journal (https://www.encyclopedia.com/science/encyclopedias-almanacs-transcripts-and-maps/magonia-journal) Bizarre Magazine on Twitter (https://twitter.com/bizarremagazine?lang=en) Mark's Far Out Column for the Guardian (https://www.theguardian.com/science/series/farout) Wikipedia entry on Norman Tebbit (https://en.wikipedia.org/wiki/Norman_Tebbit) Wikipedia entry on David Icke (https://en.wikipedia.org/wiki/David_Icke) Circle Makers Website (http://www.circlemakers.org/) Wikipedia entry on Mandelbrot Fractals (https://en.wikipedia.org/wiki/Mandelbrot_set) Wikipedia Article on Discordianism (https://en.wikipedia.org/wiki/Discordianism#:~:text=Discordianism%20is%20centered%20on%20the,objectively%20true%20than%20the%20other.) How Stuff Works Article on the Maury Island UFO Incident (https://science.howstuffworks.com/space/aliens-ufos/maury-island-incident.htm) Wikipedia article on Antônio Vilas-Boas (https://en.wikipedia.org/wiki/Ant%C3%B4nio_Vilas-Boas) The Malingerer (https://www.psywarrior.com/malingering.html) Wikipedia entry on the 2023 Chinese Weather Balloon Incident (https://en.wikipedia.org/wiki/2023_Chinese_balloon_incident) NASA Echo 1 Balloon Picture (https://en.wikipedia.org/wiki/Project_Echo#/media/File:Echo-1.jpg) Time Magazine Article on Robert Bigelow and his donations to Ron DeSantis (https://time.com/6273585/ron-desantis-donor-robert-bigelow/) UFO's (It Has Begun) Past, Present, and Future Documentary (https://www.youtube.com/watch?v=6CJdUA8LQg0) Day the Earth Stood Still Trailer (https://www.youtube.com/watch?v=OfpSXI8_UpY) Independence Day Trailer (https://www.youtube.com/watch?v=B1E7h3SeMDk) Nolan's Dark Knight Trilogy (https://www.youtube.com/watch?v=yqzmFp20184) Into The Fringe: A True Story of Alien Abduction (https://www.abebooks.co.uk/9781495902758/Fringe-True-Story-Alien-Abduction-1495902757/plp) by Dr Karla Turner Wikipedia article on Siphonophorae (https://en.wikipedia.org/wiki/Siphonophorae) Wikipedia article on Pareidolia (https://en.wikipedia.org/wiki/Pareidolia) The Doors of Perception: And Heaven and Hell (https://uk.bookshop.org/p/books/the-doors-of-perception-and-heaven-and-hell-aldous-huxley/3650082?ean=9780099458203)by Aldous Huxley Flying Saucers: A Modern Myth of Things Seen in the Sky (https://www.abebooks.co.uk/servlet/BookDetailsPL?bi=31131631760&searchurl=an%3Djung%2Bc%2Bg%26sortby%3D17%26tn%3Dflying%2Bsaucers&cm_sp=snippet-_-srp1-_-title1) by CG Jung The Invisible College: What a Group of Scientists Has Discovered about UFO Influence on the Human Race (https://www.abebooks.co.uk/servlet/SearchResults?kn=the%20invisible%20college%20vallee&sts=t&cm_sp=SearchF-_-topnav-_-Results) by Jacques Vallee The Trickster and the Paranormal (https://uk.bookshop.org/p/books/the-trickster-and-the-paranormal-george-p-hansen/295067?ean=9781401000820) by George P Hansen Cosmic Trigger (https://www.abebooks.co.uk/servlet/BookDetailsPL?bi=31398934933&ref_=ps_ggl_2039220669&cm_mmc=ggl-_-UK_Shopp_Tradestandard-_-product_id=UK9781561840038USED-_-keyword=&gclid=CjwKCAjw0ZiiBhBKEiwA4PT9z2KTGnaWBzba3cnkHzKmX_8CBNLjptVGzflg2HkpajZuefq6BWzL7BoCSSoQAvD_BwE) by Robert Anton Wilson Hellier (https://www.youtube.com/watch?v=R1FwIuicx88) - you know the score The Mothman Prophecies (https://uk.bookshop.org/p/books/the-mothman-prophecies-john-a-keel/2074568?ean=9780765334985) by John Keel Communion: A True Story (https://uk.bookshop.org/p/books/communion-a-true-story-whitley-strieber/4479222?ean=9780285643543) by Whitley Strieber Communion Trailer (https://www.youtube.com/watch?v=JJ9SI7WShfU) The Report on Unidentified Flying Objects (https://www.abebooks.co.uk/Report-Unidentified-Flying-Objects-Edward-Ruppelt/13241019281/bd)by Edward J. Ruppelt The Greys Have Been Framed: Exploitation in the UFO Community (https://www.abebooks.co.uk/9781519579614/Greys-Been-Framed-Exploitation-UFO-1519579616/plp) by Jack Brewer The Secret Life of Puppets (https://uk.bookshop.org/p/books/the-secret-life-of-puppets-victoria-nelson/3860909?ean=9780674012448) by Victoria Nelson Mutants and Mystics (https://uk.bookshop.org/p/books/mutants-and-mystics-jeffrey-j-kripal/472638?ean=9780226271484) by Jeffrey J. Kripal Authors of the Impossible: The Paranormal and the Sacred (https://uk.bookshop.org/p/books/authors-of-the-impossible-the-paranormal-and-the-sacred-jeffrey-j-kripal/4385341?ean=9780226453873) by Jeffrey J. Kripal Chameleo (https://www.abebooks.co.uk/servlet/BookDetailsPL?bi=31026308577&searchurl=kn%3DChameleo%2BRobert%2BGuffey%26sortby%3D17&cm_sp=snippet-_-srp1-_-title1) by Robert Guffey Vision of The Hawk (http://strangeattractor.co.uk/shoppe/arik-roper-vision-of-the-hawk/) by The Art of Arik Moonhawk Roper Cabarets of Death by Mel Gordon - coming soon from Strange Attractor Press (http://strangeattractor.co.uk/) Music from Elsewhere by Doug Skinner - coming soon from Strange Attractor Press (http://strangeattractor.co.uk/) State51 (https://thestate51conspiracy.com/) Polypores on bandcamp (https://polypores.bandcamp.com/) The Wickerman (1973) Trailer (https://www.youtube.com/watch?v=a-tDnavDCwI) The Wickerman (2006) Trailer (https://www.youtube.com/watch?v=QITzuunu-SU) Luminous Foundation on bandcamp (https://urthona.bandcamp.com/) To The Stars (https://tothestars.media/en-gb) Blink 182 on bandcamp (https://blink182.bandcamp.com/album/buddha-2) Vayse on bandcamp (https://vayse.bandcamp.com/album/music-from-vayse-volume-1) Special Guest: Mark Pilkington.
This is a bonus episode, a continuation of the last episode "What is reality?" Here we explore further the idea of simulations, the quantum realm, the Mandelbrot set, and much more.Video about the Mandelbrot Set: https://youtu.be/FFftmWSzgmkSupport this podcast and the YouTube channel by supporting the show at Astrapodcast.comYouTube channelDiscord Server
Mathematics plays a fundamental role in our understanding of the universe. Learn how the Mandelbrot set and other fractals are helping us to understand the universe, and how it is being used to benefit mankind. Links To Further Information about the Mandelbrot Set: “Atheists CANNOT Explain This Secret Code Seen in Creation” on the Answers in Genesis YouTube Channel: https://youtu.be/taKaFUNJ6Ec The Fractal Geometry of Nature Hardcover by Benoit B. Mandelbrot: https://amzn.to/3vcJT7r Website: https://oportuno.org DISCLAIMER: To help support our channel to keep producing content, this video or podcast, and description, might affiliate links. If you use a coupon code and/or click on a product link, I'll get a small commission with no additional cost to you.
Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Nook Nature, published by Duncan Sabien on December 5, 2022 on LessWrong. Style of post: Alexanderian meander (though with (at best) a tenth of the artistry and thoroughness/rigor). There's a Thing here and it has been tickling at my brain for ages and I have despaired of being able to clarify it all on my own, so I'm giving you my unclarified thoughts instead. More of an extended koan than a proper essay. An acquaintance at EA Global suggested that I investigate anagram potential before settling on a possible name for my future child. This was a cool idea, so I went online with my frontrunner to see what the possibilities were. There were over 111,000 of them. If I had made some modest change, say replacing "Elizabeth" with "Frederick" while leaving the other names alone, there would have been a comparable number of completely different ones. There's something blank about infinity, or really large numbers like "one billion." But the explosion of possibility somehow felt more viscerally real when it was like expanding one Workflowy node to see a hundred thousand possibilities, and expanding the next Workflowy node to see a hundred thousand different possibilities, and knowing that the next node would contain a hundred thousand new possibilities still. Most people are familiar with the Youtube videos showing an infinite zoom into the Mandelbrot set, and how you keep finding complexity as you go deeper and deeper. But it's interesting (and often underemphasized, in my opinion) that those videos show you the beauty and complexity of one single path, and if you were at any point to go left instead of right, or shift the trajectory of your zooming by some tiny amount in the hundredth decimal place, you would get another, extremely different path of equivalent complexity and beauty. This is one of the talking points that has come up in my chocolate tastings. I sometimes like to mention that yeah, of course, there's fantastic, staggering, unmanageable complexity everywhere around us all the time, and of course we have to mute and muffle and abstract most of it away or we would be fully paralyzed and unable to comprehend anything or take any action whatsoever (Something something autism, something something processing disorders) but it's nice, when someone highlights a particular nook in the infinite fractal chaos as being pleasant and interesting and worth some extra lingering, to stop glossing over all the detail, or at least to gloss over it a little bit less. When I lead people through a chocolate tasting, most of what is special isn't the chocolate itself; it's that they're simply actually processing a bunch of sense data that, by default, would have been ignored, because it has to be ignored, because you have to ignore 99.999% of what you perceive to be functional at all. An old puzzle used to be: if the universe is effectively infinite in extent, and per-unit-of-arc every star in the sky is approximately as bright as the sun, and there are stars in every direction ... why isn't the sky a uniform shining white? There are several things wrong with the "if," but nevertheless it was useful for astronomers and physicists to notice that, if stars cluster, such that a galaxy might be hidden behind a single nearby star, and might itself obscure a supercluster yet further away, then we could indeed have infinite stars in every direction and still have most of the sky be black. A sort of inverted Cantor dust effect. Speaking of fractals, I keep getting this image of something like an infinite anthill, and I don't have anything to draw with so I'll try words and maybe it'll work. But like. Okay, so when I was born I (basically) went from a womb to a bedroom. And as I grew, the bubble of my awareness expanded to a house, and then to a whole property, and then to a neighborhood, a...
Mandelbrot first introduced the Joseph and Noah effects to describe volatile markets and long term dependency, or memory. In this podcast I show how I use this modeling technique to uncover this market memory. Mandelbrot's Book https://read.amazon.com/kp/embed?asin=B004PYDBEO&preview=newtab&linkCode=kpe&ref_=cm_sw_r_kb_dp_JQX2K2X3H2DVCN7PTVM1 Studies https://www.sciencedirect.com/science/article/abs/pii/S1566014113000721 https://www.mdpi.com/1099-4300/19/9/437
Array Cast - September 30, 2022 Show NotesMany thanks to Bob Therriault for gathering these links:[01] 00:03:08 ADSP podcast on K https://adspthepodcast.com/2022/09/23/Episode-96.html[02] 00:03:30 Paradigm Conference 2022 https://esolangconf.com/[03] 00:04:25 Troels Henriksen https://sigkill.dk/[04] 00:05:05 Futhark https://futhark-lang.org/[05] 00:06:12 Linux https://www.linux.org/[06] 00:08:00 Textualize https://www.textualize.io/[07] 00:08:27 Standard ML https://en.wikipedia.org/wiki/Standard_ML Common Lisp https://en.wikipedia.org/wiki/Common_Lisp Haskell https://www.haskell.org/[08] 00:09:50 Cosmin Oancea http://hjemmesider.diku.dk/~zgh600/[09] 00:10:53 Ocaml https://ocaml.org/[10] 00:12:20 Numpy https://numpy.org/ PyTorch https://github.com/pytorch/pytorch[11] 00:13:07 Single Assignment C https://www.sac-home.org/index[12] 00:13:20 Codfns https://github.com/Co-dfns/Co-dfns DEX https://github.com/google-research/dex-lang Accelerate for Haskell https://www.acceleratehs.org Copperhead https://github.com/bryancatanzaro/copperhead Tensorflow https://github.com/tensorflow/tensorflow JAX https://github.com/google/jax[13] 00:18:39 Phd Position https://employment.ku.dk/phd/?show=157471[14] 00:20:17 Experiential Learning https://en.wikipedia.org/wiki/Experiential_learning[15] 00:21:21 DIKU https://di.ku.dk/english/ Hiperfit http://hiperfit.dk/ Simcorp https://en.wikipedia.org/wiki/SimCorp Dyalog https://www.dyalog.com/[16] 00:23:00 TAIL http://hiperfit.dk/pdf/array14_final.pdf apltail https://github.com/melsman/apltail Martin Elsman https://elsman.com/[17] 00:29:17 Parametric Polymorphism https://en.wikipedia.org/wiki/Parametric_polymorphism[18] 00:32:06 Jay Foad https://aplwiki.com/wiki/Jay_Foadhttps://docs.dyalog.com/latest/Compiler%20User%20Guide.pdf[19] 00:33:00 Tacit Programming https://aplwiki.com/wiki/Tacit_programming[20] 00:36:30 Mandelbrot set https://en.wikipedia.org/wiki/Mandelbrot_set[21] 00:41:07 Typed Array Languages https://mlochbaum.github.io/BQN/implementation/compile/intro.html#typed-array-languages[22] 00:42:05 Leading Axis Array Theory https://aplwiki.com/wiki/Leading_axis_theory[23] 00:43:56 Ken Iverson https://en.wikipedia.org/wiki/Kenneth_E._Iverson[24] 00:49:25 Conor's Array Comparison https://github.com/codereport/array-language-comparisons[25] 00:49:50 APEX https://gitlab.com/bernecky/apex Bob Bernecky https://www.snakeisland.com/[26] 00:51:05 Second Order Array Combinators https://futhark-book.readthedocs.io/en/latest/language.html[27] 00:52:30 Associativity https://en.wikipedia.org/wiki/Associative_property Commutativity https://en.wikipedia.org/wiki/Commutativity[28] 00:56:12 Toxoplasma Gondii https://en.wikipedia.org/wiki/Toxoplasma_gondii[29] 00:59:20 Guy Blelloch https://en.wikipedia.org/wiki/Guy_Blelloch Nesl http://www.cs.cmu.edu/~scandal/nesl.html[30] 01:00:38 Remora https://www.ccs.neu.edu/home/jrslepak/typed-j.pdf Justin Slepak https://jrslepak.github.io/[31] 01:01:12 Conor's Venn diagram https://github.com/codereport/array-language-comparisons[32] 01:02:40 K https://aplwiki.com/wiki/K Kona https://aplwiki.com/wiki/Kona[33] 01:03:20 April https://aplwiki.com/wiki/April Andrew Sengul Episode on Array Cast https://www.arraycast.com/episodes/episode23-andrew-sengul[34] 01:04:40 Py'n'APL https://github.com/Dyalog/pynapl APL.jl https://aplwiki.com/wiki/APL.jl May https://github.com/justin2004/may Julia https://julialang.org/[35] 01:08:05 Bjarne Stroustrup C++ https://www.stroustrup.com/[36] 01:09:16 Artem Shinkarov https://ashinkarov.github.io/ Sven-Bodo Scholz https://www.macs.hw.ac.uk/~sbs/homepage/main/Welcome.html https://www.microsoft.com/en-us/research/video/sac-off-the-shelf-support-for-data-parallelism-on-multicores/[37] 01:10:19 Contact AT ArrayCast DOT com
In this episode, Jean hangs out with Tinbane and Astamcloud/P to discuss the experience of collecting, creating and curating in the generative art space. Links Jean's post about embarking on his artistic journey Jean's generative art resources DCinvestor on-chain gen art collector thesis The rise of long-form generative art Mandelbrot set Picasso's The Bull * Featured image art by Tinbane
This episode is also available as a blog post. Take a look at the infinite emptiness of the Mandelbrot sets there https://writingtheday.wordpress.com/2021/03/04/infinite-emptiness/ --- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/app --- Send in a voice message: https://anchor.fm/ken-ronkowitz/message
An airhacks.fm conversation with Daniel Lipp (@dynamic_123) about: starting to program CPC Schneider in the store, Basic and Logo, the first floppy disk to save the work, writing a senso game, Mandelbrot caclulations locked the computer for days, wiring computers on vacations, finding hidden files of Werner the German rocker game, Logo looks like assembly, starting physics and learning Turbo Pascal, from Basic to Visual Age SmallTalk, math formulas as code, memory leaks in C++, SmallTalk solved memory leaks, SmallTalk over Java, migrating from SmallTalk to Java, the elegance of SmallTalk, overriding a non-existing method in SmallTalk, Visual Age for SmallTalk over Visual Age for Java, the non-extendible Java currency class, recompiling the java.util.Currency class, writing a Java persistence layer, modernising with Java EE 5, writing Eclipse RAP clients, it is hard to maintain the spirit in fast growing companies, starting at open source CMS startup, migrating to openshift and containers, migrating microservices from JBoss to Quarkus, saving memory and CPU with Quarkus, saving money with quarkus, migrating from Java EE to Quarkus with minor code adjustments, the same old, serverless, architecture, Daniel Lipp on twitter: @dynamic_123 and Instagram: dynamic_dli
MixCult Spotify Playlist - open.spotify.com/playlist/5pbBqNaB903P7NDjGmihKe There are times I can't even figure myself out. https://mixcult.bandcamp.com/album/figure-dubs-4 Artwork © marselinart Order your new tracks now! Want all future releases for free? Just purchase entire digital catalog at 80% discount. You`ll have a lifelong access to all future releases from MixCult Records and all vinyl sub labels. DEMO for MixCult Records - mixcult.net/request MixCult Records, Radio & Booking | www.mixcult.net
Irreplaceable PraiseIn fractal geometry, there is a complex set of numbers that produces an infinitely intricate shape when plotted on a plane. It's called a Mandelbrot set, after the founder of fractal geometry, Benoit Mandelbrot. Clouds and coastlines are classic examples of this endless complexity. Any detail can be magnified to reveal even more detail, ad infinitum. The blessings of God are a Mandelbrot set. They aren't one size fits all. Each blessing is custom fitted to your complexity and, I might add, your personality. Take the mercy of God, for example. The mercy God has shown you is as unique as your fingerprint. The writer of Lamentations said that God's mercies are new every morning (Lamentations 3:22–23). The Hebrew word for “new” doesn't just mean “again and again.” It means “different.” In other words, today's mercy is different from yesterday's mercy, which is different from the mercy of the day before that.If you want to fully appreciate God's mercy, take out a calculator. Multiply your age by 365 days; then add the number of days since your last birthday. The total number of days you've been alive is synonymous with the different strains of mercy you have been shown. Each day's mercy is a never-to-be-repeated miracle.Let me push this envelope a little further. There never has been and never will be anyone like you, but that isn't a testament to you. It's a testament to the God who created you. And the significance of that is this: no one can worship God like you or for you. When we sing a song like “Great Is Thy Faithfulness,” we may be singing the same words, but we are singing a very different song.God has been faithful to me in thousands of different ways. When I sing of His faithfulness, I'm singing out of my unique experiences. And so are you. If you don't sing, the person next to you might not miss your voice, but God will. In fact, you are holding out on God. Why? Because your praise is irreplaceable! Like our praise that is uniquely offered to God, God's blessings are uniquely fitted to us. What can you praise God for today that no one else in history has praised Him for?Because of the Lord's great love we are not consumed, for his compassions never fail. They are new every morning; great is your faithfulness.Lamentations 3:22-23 NIV
The wisdom of the creator is within all of us, and the future will prove it. The image is of total fraud at all levels. Wake up every day to that life feeling. The amazing Mandelbrot set, and how it proves a divine creation. The Romans could throw a party, Saturnalia. Who said "baby in the cake"? History says letting off steam will stop explosions. It's a purge philosophy. Right now, our electors are both sorted and selected. Peter Navarro's arrest and the weaponizing of our institutions. The J6 fiasco nears a blowup. What CNN forgot about pedos. Harnessing the power of Congress is vital. Citizenship rights are being diluted for all to see. Our strength, compassion and discernment are soon to be tested. Lets all strive to both prepare for and understand what is coming. Learn more about your ad choices. Visit megaphone.fm/adchoices
Robert Black is an author who has written a six-book series about seven influential mathematicians, their lives, and their work. We interview him and his books, and take a peek into the lives of these influential mathematicians.Addendum: Hey Breaking Math fans, I just wanted to let y'all know that the second material science podcast is delayed.[Featuring: Sofía Baca; Robert Black]
On Today's Trivia Podcast Episode Time for 20 new questions on this trivia podcast! What are the five ship pieces in the game of Battleship? Which artist painted "The Water-Lily Pond" in 1899? What three nations have only won a single all time Winter Olympics medal? What Paramount + show features actors Jonathan Frakes, Jeri Ryan, and Marina Sirtis reviving roles that they are well known for? "The Man Who Died Twice" by Richard Osman is the sequel to which successful debut novel? What kind of animal is a Schipperke? Who hosted the Tonight Show on NBC from 1992 to 2009? What branch of mathematics are the names Sierpinski, Lindenmayer, and Mandelbrot connected to? Jason Todd who became so unpopular with fans that he was killed off succeeded Dick Grayson as what Superhero sidekick? What is a Corgette known as in the U.S.? If you liked this episode, check out our last trivia episode! Music Hot Swing, Fast Talkin, Bass Walker, Dances and Dames by Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/ Don't forget to follow us on social media for more trivia: Patreon - patreon.com/quizbang - Please consider supporting us on Patreon. Check out our fun extras for patrons and help us keep this podcast going. We appreciate any level of support! Website - quizbangpod.com Check out our website, it will have all the links for social media that you need and while you're there, why not go to the contact us page and submit a question! Facebook - @quizbangpodcast - we post episode links and silly lego pictures to go with our trivia questions. Enjoy the silly picture and give your best guess, we will respond to your answer the next day to give everyone a chance to guess. Instagram - Quiz Quiz Bang Bang (quizquizbangbang), we post silly lego pictures to go with our trivia questions. Enjoy the silly picture and give your best guess, we will respond to your answer the next day to give everyone a chance to guess. Twitter - @quizbangpod We want to start a fun community for our fellow trivia lovers. If you hear/think of a fun or challenging trivia question, post it to our twitter feed and we will repost it so everyone can take a stab it. Come for the trivia - stay for the trivia. Ko-Fi - ko-fi.com/quizbangpod - Keep that sweet caffeine running through our body with a Ko-Fi, power us through a late night of fact checking and editing!
Moobarkfluff! We learn about mathy things in two separate sections this week. Taebyn is so disappointed in Bearly because he can't remember Mandlebrot. The past today takes a long look at Shrodingers evil pillow. Are hydrogen atoms sentient? Taebyn tells us about Ska. Does Taebyn have any exes? We pay tribute to LGBTIA+ S.T.E.M. folks. Moobarkfluff! https://www.bonfire.com/store/bearly-furcasting/Brode Electrolyte Vitamins; Get 25% off your entire purchase: https://brode.coProud sponsor of the Good Furry AwardsSupport the show
Hosts: Jim, Jon & KentGuest: Darin Kennedy We slap together a setting in deep space, in which a struggling federation of worlds attempts to push back threats from all sides. Recommendation: Jon recommends Dan Carlin's Hardcore History Wiki entry to follow! 00:00 Tomfoolery00:01 Star Wars / The Force / George Lucas00:08 Mitochondria / Midi-chlorians / Dragonball Z00:39 Pigs in Space / Sharks with Lasers00:57 Intro02:12 Listener Comments03:01 Deciding Basics05:30 Discussing Species05:34 The Micronauts06:00 THEM! / Square Cube Law06:38 Emergence / Hive Mind08:48 Mercury11:31 Contact13:25 Dune / Spacing Guild14:08 Clarke's Laws16:47 The War of the Worlds / Martians21:33 Superman / Vulcan / Dwarves21:53 DC Comics / Apokolips21:58 Marvel Comics / Guardians of the Galaxy / Charlie-2723:51 Red Lobster24:24 Relativity26:33 Red Alert26:36 Discussing Relations & Motives27:48 Xenophobia31:21 Discussing Societal Structures34:55 The Borg35:23 Discussing History36:58 "That's no moon..."42:42 Discussing Ships45:46 Termite Mound46:33 Krull47:40 D&D / Formians48:25 Warp Drive51:31 Discussing Space Creatures52:55 Mako Shark54:17 Discussing Locations56:31 Discussing Council Organization58:30 Naming Species & Locations59:21 Hymenoptera60:32 Mandelbrot / Bratwurst61:57 Manifold / Manifold62:09 Gaussian Curvature62:46 Shiva62:53 Magic: the Gathering / Shivan Dragon63:40 Naming Groups & Titles63:43 Occupy Movement68:06 Naming the Setting68:36 "So let it be written, so let it be done..."68:44 Recommendations68:54 Dan Carlin's Hardcore History69:32 darinkennedy.com / Apple69:49 Conclusion & OutroDOWNLOAD EPISODE 12 - ACONDUS SPIRAL
I saw the video from Neil TysonAnd he is explaining in precise words: The religions are correct: For spiritual purposes. For giving faith.Forgoing beyond worldly matters.For finding spiritual happiness.To become humble in front of the creator. To connect with the divine.To become honest and humble. And that proves even the greatest scientific geniuses.Like Kopernikus, Einstein, Tesla, Leonardo Da Vinci, Newton…Religions have nothing to do with science!We cannot let the Religions dictate what is scientifically true or wrong!Even so, science is 97% wrong!Only 3% remain true for longer than 5 years! People give up their faith in God and prefer science to be true!Life is not logical. We live in chaos that has some order! (Google: Images, Order in Chaos, Mandelbrot, fractal geometry). There are indefinite more irrational numbers than rational numbers.Why do even the greatest geniuses submit that there is a force, power that is beyond themselves? It is absolute nonsense that science should prove God's existence…Science is looking for trueness and is mainly always wrong … But through science, we discover and develop so much more opportunities, that science makes sense!I have learned as an engineer to create a model from/for the reality that should be as simple as possible.And that model is good enough if this model is true for only one aspect, even though there exist millions of aspects.We have learned:What we can watch, that we can control!What we cannot watch in every aspect, we never can control…!What can we watch in every aspect?Nearly nothing, compare to the things that exist…So, we never can prove that God is true! My Video: Science and God https://youtu.be/ujvD-ihBYVUMy Audio: https://divinesuccess.net/wp-content/uploads/2021/Podcast2/Science-and-God.mp3
Hello Interactors,Beauty may be in eye of the beholder, but it’s also in the brain. We all seem to be drawn to balance, order, and predictable patterns which rulers, T-squares, protractors, and compasses have readily provided. It’s the stuff maps are made of. They’ve brought progress and good fortune to many over the centuries, but have they also lead to our decay?As interactors, you’re special individuals self-selected to be a part of an evolutionary journey. You’re also members of an attentive community so I welcome your participation.Please leave your comments below or email me directly.Now let’s go…HIGH FASHIONI can’t deny it. I’m a sucker for grids. I’m drawn to music, art, and designs that are balanced, orderly, and intelligible. Give me a ruler, a protractor, a compass, and a pencil and I’d happily make art and designs all day. Growing up I’d handcraft lettering on cards using my Dad’s plastic flowchart stencils. What can I say, I’m a product of modernity. A neat and tidy aesthete.But that attraction was called into question last week as I was watching The Hobbit. The movie’s protagonist, Bilbo Baggins, lives in an organically shaped earthen home carved into the side of hill. There’s not a Cartesian grid or plane anywhere to be found. Every wall is curved as if bored into the hillside by a giant gopher. I was so smitten that I murmured out loud to my family, “I could definitely live in that house.” Has my planar proclivity passed me by, or has the curving complexity of nature caught my eye?Neuroscience has uncovered evidence that we humans, perhaps other animals as well, tend ‘like’ and/or ‘want’ aesthetic order and balance. Evidence of elements in oddities ordered by humans abounds in centuries of found paintings, carvings, jewelry, and even cities.But firm empirical conclusions of this gray-matter matter remain elusive. Although, neuroscientists do agree on one thing: there is no single ‘beauty center’ in our brain. When hooked up to brain imaging machines, scientists observe “activity in the frontal pole, left dorsolateral cortex, anterior cingulate cortex, temporal pole, motor cortex, parietal cortex, ventral stratum, and occipital cortex, among others.” And there is ongoing work trying to tease out the order in which these activities unfold betwixt the vast network of synapsis in a brain containing as many neurons as stars in the Milky Way. A task seemingly more complex than the identification of the regions themselves.If aesthetically pleasing ordered intelligibility is indeed a universal mammalian trait, getting to that cognitive state is complex – understanding it even more so. Some scientists believe another reason concrete evidence is elusive is because the visual stimuli used across studies varies considerably.Designing and administering cognitive research requires rationalizing inputs across studies to achieve more predictable outcomes. This ‘streamlining’ of the scientific method is not only applied to studies, but to the design and manufacturing of products, and the planning, mapping, and administration of our neighborhoods, cities, regions, and states.Political scientist and legal anthropologist James C. Scott once alluded to the similarities between designing observational studies and the design of our modern urban environments writing,“The builders of the modern nation-state do not merely describe, observe, and map; they strive to shape a people and landscape that will fit their techniques of observation.”Scott’s 1998 book, Seeing Like a State, is critical of what he calls High Modernism which is an over-reliance on Cartesian principles, the scientific method, and unfaltering faith in technology. While he admits these advances improved – and continue to improve – the human condition, he believes blind adherence to these aesthetic, bureaucratic, and technocratic principles may have also put us on a path toward what we now see as potential human extinction.The list of ‘High Modernists’ in art, science, design, and politics is long, but Scott created a “Hall of Fame” of geo-political modernists like former U.S. Secretary of Defense and Cold War strategist Robert McNamara known for his ‘scientific management’ style, New York commissioner-cum-urban planner and power broker Robert Moses, founding head of Soviet Russia and dictator of the proletariat Vladimir Lenin, the Shah-of-Iran who sought to modernize and nationalize his entire country and industry, and the influential architect and urban designer Le Corbusier who advocated for standardized inhumane design and erasure of historical and cultural tradition – especially in the aftermath of war.Scott’s full list includes people of not any one political persuasion. He reveals how both conservatives and progressives are capable of “sweeping, rational engineering of all aspects of social life in order to improve the human condition.” He notes they all use “unrestrained use of the power of the modern state as an instrument for achieving these designs.” And he observes the public really has no recourse, nor often the desire, to resist it. He says,“The ideology of high modernism provides, as it were, the desire; the modern state provides the means of acting on that desire; and the incapacitated civil society provides the leveled terrain on which to build (dis)utopias.”That ‘desire’, as it were, I suspect is partially driven by the aesthetics found in the uniformity, balance, and order of ‘High Modernists.’ Parsimony, the reductive removal of redundancy, is what persuades people to purchase overpriced but simplified products like Prada. It’s what spurred Tom Wolfe to observe in his book From Bauhaus to Our House that elite modernists want to fill cities with “row after row of Mies van der Rohe.” The German architect was known for his stark rectilinear buildings made of what he called ‘skin and bone.’In addition to fashion and architecture, modernist desire was (and still is) embodied in many elements of society and popular culture from literature, to industry, to transportation. Much of this progress occurred during the Industrial Age of the 19th century. I can imagine the exhilaration of high speed movement through space over time on a bike, car, or train surely began with fright but ended in delight. Even desirable.As Scott points out, the state provided the means for this desire to manifest. He invites us to,“imagine that what these designers of society had in mind was roughly what designers of locomotives had in mind with ‘streamlining.’ Rather than arresting social change, they hoped to design a shape to social life that would minimize the friction of progress. The difficulty with this resolution is that state social engineering was inherently authoritarian.”FROM CRAWLING TO SPRAWLINGIt was locomotives that brought many colonizers to my home town, Norwalk, Iowa in the late 1800s. But the first was Samuel Snyder in 1852. He built a log cabin near an area called Pyra. He was likely on the land of the Báxoje (Bah-Kho-Je) people, or as neighboring tribes called them ayuhwa “sleepy ones” otherwise known as Iowa. Pyra was a few miles south of the state capital, Des Moines (Hartford of the West) that was incorporated just one year earlier.By 1856, four years later, Pyra had a post office and a new resident, George Swan, who made his presence known by “putting up a pretentious edifice, to be used as a hotel.” Swan was a politician and newspaper publisher who moved from Norwalk, Ohio but was born in Norwalk, Connecticut. He became postmaster in part to change the name of the town from Pyra to Norwalk.The renaming of Indigenous place names to Western names is another common act of the ‘High Modernist’, as is laying out a town in your vision. Which was the next thing Swan did.The county and the township had already been gridded and platted as part of Thomas Jefferson’s squaring of a nation, but it was Swan’s ‘authoritarian’ vision that allowed for the ‘social engineering’ of the town I grew up in. He was aided by a handful of settlers including Jesse Huff and Mary Huff. One of my best friends came from the Huff family, his uncle was our baseball coach, and his grandpa was the long time Norwalk city manager. That’s three generations of city administration aided by the modern state’s ‘means of acting on the desire’ to ‘level terrain’ so they may build their ‘utopia.’It took until the 1950s and 60s before Norwalk become a true suburb of Des Moines – an expansion beyond what Swan could ever have imagined. Its population sputtered growing modestly between 1900 and 1950 from 287 to 435, but then grew 205% between 1950 and 1960 to 1,328. The town didn’t expand beyond Swan’s initial footprint until 1969 and it’s been sprawling ever since. It’s now hard to discern the border between Des Moines and Norwalk. When I lived there in the 60s, 70s, and 80s corn and soybean fields provided a visible gap.Despite these well-intentioned ‘High Modernists’ sprawling attempts around the world at carefully planned and engineered social utopias, scholarly literature reveals what Scott suspects. Research across economists, geographers, and planners suggests this general consensus:“urban sprawl as a multidimensional phenomenon [is] typified by an unplanned and uneven pattern of urban development that is driven by a multitude of processes and which leads to the inefficient utilisation of land resources. Urban sprawl is observed globally, though its characteristics and impacts vary.”The words ‘uneven’ and ‘multitude of processes’ and ‘inefficient utilization’ resulting in ‘varying impacts’ don’t fit the exacting premise promised by enlightened ‘High Modernists.’ This study I’m quoting was done in reaction to the fact that despite the populations of European cities declining, their footprints have continued to sprawl since the 1970s. They say, “There is no sign that this trend is slowing down and, as a result, the demand for land around cities is becoming a critical issue in many areas.” This is the essence of urban sprawl.The ordinal origins of sprawl are synonymous with their historic modernist and economic origins – the Central Business District. The shape and pattern of the impending sprawl in the United States and Europe is like a spider spinning it’s web from the center out. Causes are often oversimplified by a focus on the economic trade-off between housing prices and commuting costs. Importantly, this economic function is a result of the modern state’s role in ‘providing the means of acting on the desire’ of select individuals to live ‘elsewhere.’There are other factors that determine the shape, resolution, and scale of sprawl. A 2006 study determined that“sprawl in the USA between 1976 and 1992 was positively related to groundwater availability, temperate climate, rugged terrain, decentralised employment, early public transport infrastructure, uncertainty about metropolitan growth and the low impact of public service financing on local taxpayers.”Other studies include another big factor in the United States, ethnicity: that same 2006 study found “that increases in the percentage of ethnic minority populations within cities and rising city centre crime rates both led to a growth in urban sprawl.” Curiously, a similar study focused on Europe “confirmed the positive impact of higher crime rates on sprawl, but observed the opposite effect for the impact of ethnic minority populations.”I HAVE A CITY IN MINDSprawl isn’t just happening in the U.S. and Europe, but in developing countries as well. Since opening up in 1979, China has seen unprecedented sprawl in conjunction with their rise in socioeconomic development. Urbanization increased “17.92% in 1978 to 59.60% in 2018, and scholars predict it will reach 70% in 2035 and 75% in 2050.”As is the case in the United States and Europe, “the expansion of urban land mainly sacrifices rural land, especially cropland, which produces negative effects such as ecological degradation, water and land loss, and soil pollution.” This study concludes that “urban land expansion has garnered much attention, and studies have focused on land transition monitoring, effects analysis, and mechanism identification. However, discussions on suburban development and its subsequent effects remain insufficient.”These researchers draw attention to three commonly used dimensions in studying sprawl:Administrative - Administrative boundaries such as towns close to a city.Spatial - Location, Density, and Spatial Activity adjacent and within commuting distance of the city.Social - Attributes such as classes, races, and ethnicities of residents that distinguish cities and suburbs.A primary thrust of ‘High Modernism’ are found in those first two dimensions. ‘High Modernists’ seek to ease the ‘administrative’ costs through the reduction of ‘spatial’ complexity. There’s actually nothing modern about that, really. Unless you consider the 5th century BC Greek polymath Hippodamus ‘modern’. He is considered the ‘father of European urban planning’ beginning with his grid plan of the Greek port city Piraeus that remains today. But being a mathematician, he no doubt was seeking spatial parsimony for city administrators.The economist Herbert Simon (who studied decision making in large organizations) describes the ‘administrative man’ this way:“Administrative man recognizes that the world he perceives is a drastically simplified model of the buzzing, blooming confusion that constitutes the real world. He is content with the gross simplification because he believes that the real world is mostly empty – that most of the facts of the real world have no great relevance to any particular situation he is facing and that most significant chains of causes and consequences are short and simple.”Simon elucidates how the first two dimensions of the effects of ‘High Modernist’ urban sprawl, – ‘administrative boundaries’ and remote measures of ‘spatiality’ – are ‘gross simplifications’ of the ‘buzzing, blooming confusion that constitutes the real world.’ This ‘real world’ may be better evidenced in the third dimension of measures, ‘social attributes such as classes, races, and ethnicities of residents that distinguish cities and suburbs.’But even these attributes can remain removed the real world if viewed from a map or table of data. We need only look at Redlining as an example of how ‘social’ dimensions can be used to negate, subjugate, frustrate, dictate, alienate, arbitrate, automate, and attempt to eliminate certain classes, races, and ethnicities through actuated, calculated tax rates, interest rates, and loan rates through a slate of mandates from magistrates of the city-state, state-state, and nation-state.The French Philosopher, Michel de Certeau, observes in his book The Practice of Everyday Life how Walking in the City, despite its gridded plans, results in people defiantly deploying practical and tactical shortcuts despite attempts by centuries of ‘High Modernism’ to control them. He writes that ‘the City’,“provides a way of conceiving and constructing space on the basis of a finite number of stable, isolatable, and interconnected properties.”But he also wonders if this concept of the city is decaying. He reflects on the strength, resiliency, and tenacity of humanity despite the potential erosion of ‘High Modernism’ and asks,“Does that mean that the illness afflicting both the rationality that founded it and its professionals afflicts the urban populations as well?”He invites us to not turn our “bewilderment” of ‘High Modernism’ in ‘catastrophes’” of its undoing but instead,“analyse the microbe-like, singular and plural practices which an urbanistic system was supposed to administer or suppress, but which have outlived its decay…”As much as I like the ordered, gridded aesthetic, I’ve come to better appreciate the beauty in our ‘microbe-like’ natural world. Modernity may be defined by the analytical geometry of Descartes, but I can’t help but wonder if the work of another 17th century mathematician may come to shape our future.His name is Gottfried Wilhelm Leibniz, the German mathematician who invented, perhaps along with Isaac Newton, calculus. Leibniz is also credited with discovering self-similarity which forms the bases for Benoit Mandelbrot’s fractals. Mandelbrot’s geometry, his ‘Art of Roughness’, describes the mathematics behind branching systems found in fern leaves, cauliflower, trees, and coastlines as well as our circulatory system, nervous system, bronchial system, and maybe even Bilbo Baggin’s hobbit home in the hill. If it wasn’t for the fractal-like nature of the gray-matter of our brain, it wouldn’t be able fold upon itself to fit within the small cavity of our cranium. Even its network of neurons, and the synaptic patterns they form as we fawn over beauty, follow the mathematical laws of Leibniz and Mandelbrot. Our world may not need be ordained by Cartesian order because it’s already organized. We just need to understand it and follow its lead.As neuroscientists continue to map the brain in search of what draws us to order and balance in objects as well as cities, perhaps they could consider the conjecture of British physicist and distinguished professor of the Santa Fe Institute, Geoffrey West when he writes:“…because the geometry of white and gray matter in our brains, which forms the neural circuitry responsible for all of our cognitive functions, is itself a fractal-like hierarchical network, this suggests that the hidden fractal nature of social networks is actually a representation of the physical structure of our brains. This speculation can be taken one step further by invoking the idea that the structure and organization of cities are determined by the structure and dynamics of social networks……In a nutshell: cities are a representation of how people interact with one another and this is encoded in our neural networks and therefore in the structure and organization of our brains.” This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit interplace.io
We chat with Leonora Tindall, one of the co-authors of the 2nd edition of Programming Rust, about her experiences working on the book, the various roles she has worked in using Rust, and about the state of academic computer science education. Nora's blog can be found at https://nora.codes/. Her Twitter handle is @NoraDotCodes. Visit https://play.google.com/store?code=3MNQ2X1ZPV6TT to receive 40% off the full price of Programming Rust 2nd Edition. You can send us an email at buildingwithrust AT gmail DOT com or find us in the Rustacean Station Discord server. Timestamps 0:40 - Welcome 1:12 - Nora's intro 1:58 - Thoughts on podcasts in the Rust community 4:12 - Are you ok with listening to your own recorded voice? 5:13 - Nora's work history 8:29 - Working on the second edition of Programming Rust 12:00 - Developing empathy as educators 15:40 - Keeping the Mandelbrot renderer project from the first edition 17:30 - Who should you buy the second edition of Programming Rust? 24:31 - Learning programming should be more fun 26:37 - Working on cancer discovery at CancerIQ 33:23 - Working on edge delivery at Fastly 35:18 - Being California transplants to the midwest 36:37 - Nora's unconventional college experience 37:58 - Shuffleboard as a team-building activity 38:45 - Thoughts on academic computer science education 49:12 - What fictional world would you most like to visit? 55:01 - Nora's sign-off 56:09 - Outro
Definitely worth watching for the graphics I created as I think this might be one of our best episodes yet!In Episode #262 of 'Meanderings' Juan and I discuss: what the 2020's will be remembered for, Juan's unbelievable humility (hahahahaha), thoughts on the stories humans tell, ridiculous but truthful fiction, how ideas travel in the world, the awesome dolls created in the 18th century, Stephen Wolfram's & the Mandelbrot set and getting your money hacked from creative bad people.As always, we hope you enjoy. Mere Mortals out!Timeline:(0:00) - The Roaring 2020's(3:28) - Juan the Social Media King(6:25) - BS Stories(10:11) - How truthful is humanity(15:52) - Juan's blog post & subjectivity(18:38) - The Shit Angel & fictitious stories(23:36) - Covid misinformation and idea proliferation(32:08) - Censorship(36:13) - Jaquet Droz Automaton(41:28) - Cellular automata & complexity(45:59) - Key loggers & Russian spying(49:38) - V4V & FountainConnect with Mere Mortals:Website: https://www.meremortalspodcast.com/Discord: https://discord.gg/jjfq9eGReUInstagram: https://www.instagram.com/meremortalspodcast/
[powerpress] Los gremlins se comieron la mitad del programa 144 que republicamos entero. Sisculpen las molestias. Unas veces se gana, otras veces se aprende. -- Te has planteado alguna vez ¿por qué a pesar de pasar los años aún sigue sonando los Beatles? ¿por qué los libros de Séneca y los antiguos filosofos aún se siguen vendiendo? ¿Cómo es posible que musicales como Los Miserables, Cats, el Fantasma de la ópera o incluso el Rey León hayan permanecido tantos años en cartel? Como nos explica @granludo esto se debe al efecto Lindy, un concepto reformulado por Nassim Taleb, autor de «El cisne negro»y «Antifragil con el que describe una teoría sobre las expectativasde vida de todo aquello que no es perecedero. [amazon_link asins='8408149636,8449335426,8408008544' template='ProductCarousel' store='zetatesters_-21' marketplace='ES' link_id='cdc76a7d-851c-42a6-b604-cf10021999b0'] El origen de ‘La ley de Lindy' se basa en la observación que hizo el escritor Albert Goldman en 1964, en la que establecía que las expectativas de futuro de un cómico en televisión era directamente proporcional al tiempo que llevaba saliendo en ese medio. A partir de esta experiencia,el matemático Mandelbrot y Taleb desarrollaron la idea de este efecto para utilizarlo como una herramienta que ayudara a hacer estimaciones sobre el tiempo de vida que podía durar algo no perecedero. Sin duda conocer el efecto Lindy nos puede ayudar a la toma de decisiones de una manera lógica, rápida y eficaz sin tener que recurrir a un análisis de datos cuando dudamos entre diversas opciones. Si eres un autentic@ zetatester y quieres empezar hábitos nuevos, practicar algún ejercicio o elegir entre miles de libros tan solo pregúntate cuánto tiempo ha existido hasta el día de hoy. Cuanto más viejo es algo, más posibilidades tiene de que siga viviendo.
Every two years, AustMS and AMSI choose a prominent mathematician to tour Australia. This year's Mahler lecture series speaker is Dr Holly Krieger, originally from the United States, but now at Cambridge University. In this episode, Holly talks about her research, her outreach to female students and young researchers, and her tour of Australian universities. The Random Sample is a podcast by the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS). In this show, we share stories about mathematics, statistics and the people involved. To learn more about ACEMS, visit https://acems.org.au.See omnystudio.com/listener for privacy information.
[powerpress]Te has planteado alguna vez ¿por qué a pesar de pasar los años aún sigue sonando los Beatles? ¿por qué los libros de Séneca y los antiguos filosofos aún se siguen vendiendo? ¿Cómo es posible que musicales como Los Miserables, Cats, el Fantasma de la ópera o incluso el Rey León hayan permanecido tantos años en cartel? Como nos explica @granludo esto se debe al efecto Lindy, un concepto reformulado por Nassim Taleb, autor de "El cisne negro"y "Antifragil con el que describe una teoría sobre las expectativasde vida de todo aquello que no es perecedero. El origen de ‘La ley de Lindy' se basa en la observación que hizo el escritor Albert Goldman en 1964, en la que establecía que las expectativas de futuro de un cómico en televisión era directamente proporcional al tiempo que llevaba saliendo en ese medio. A partir de esta experiencia,el matemático Mandelbrot y Taleb desarrollaron la idea de este efecto para utilizarlo como una herramienta que ayudara a hacer estimaciones sobre el tiempo de vida que podía durar algo no perecedero. Sin duda conocer el efecto Lindy nos puede ayudar a la toma de decisiones de una manera lógica, rápida y eficaz sin tener que recurrir a un análisis de datos cuando dudamos entre diversas opciones. Si eres un autentic@ zetatester y quieres empezar hábitos nuevos, practicar algún ejercicio o elegir entre miles de libros tan solo pregúntate cuánto tiempo ha existido hasta el día de hoy. Cuanto más viejo es algo, más posibilidades tiene de que siga viviendo.