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In this much-anticipated episode, host, Leanne McMahon sits down with world-famous maths educator Eddie Woo to try to harness his enthusiasm to inspire us all to be the best maths teacher we can. We discuss what inspires Eddie, how he moved from feeling ‘on the outside' to where he is today and what he has learned along the way (and from whom). We touch on the perceived dichotomy between direct instruction and learning through problem solving and mention other pedagogies that may have been set up as dichotomous, but that all contribute to the rich tapestry of Maths teaching. Finally, we look at the importance of mentoring for all teachers and where Eddie would go for professional learning. Please pass on some of the maths love by rating and sharing our podcast and check out some of the back catalogue of other brilliant guests and topics the MathsTalk podcast has covered. Resources: Contact us: MathsTalk@amsi.org.au Eddie's website and links to TV shows and books: https://misterwootube.com/ https://misterwootube.com/2020/03/18/books-tv-2/ https://www.youtube.com/watch?v=PXwStduNw14&ab_channel=TEDxTalks A profile of Eddie: https://careers.amsi.org.au/eddie/ The NSW Mathematics Growth team: https://education.nsw.gov.au/about-us/strategies-and-reports/nsw-mathematics-strategy/initiatives/10-mathematics-growth-team Teacher social networks: https://www.researchgate.net/publication/249795726_District_Policy_and_Teachers%27_Social_Networks Dan Meyer – Fake world math: https://blog.mrmeyer.com/2015/fake-world-math-when-mathematical-modeling-goes-wrong-and-how-to-get-it-right/ Logarithmic graphs and Covid-19: https://www.socialsciencespace.com/2020/06/people-do-not-understand-logarithmic-graphs-used-to-visualize-covid-19/ Direct Instruction or Inquiry-Based Learning?: https://www.edutopia.org/article/direct-instruction-inquiry-based-learning/ ICE-EM Textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/ AMSI Resources: https://calculate.org.au/
The pointier end
What up, Vigilantes? We've got a special treat for you today. I had the honor of speaking with Mr. A, a Crypto Vigilante Market Technician who has been charting Bitcoin since 2010! If you're a Crypto Vigilante subscriber, you already know how much of a wizard this guy is. If you aren't, by the end… The post Mr. A's Crypto Revelations: Shocking Logarithmic Channels and the Future of Privacy Coins! [VIDEO] appeared first on The Crypto Vigilante.
This week, the podcast finds itself in confusing artillery fire from the Internet. Nic, Bass, and Cartoon Joe discuss Twitter drama and vagina art, grand fictional battles, and rotisserie roasted pork asses. It’s fun, it’s weird, and maybe educational. Doubtful. Get some cool merch @ http://GCL.Threadless.com Plugs and Amazing Folks Check out the Twitch stream here! […] The post Geek Cast Live 10.440: Logarithmic Dancing appeared first on Geek Cast Live.
Logarithmic Duality of the Curvature Perturbation by Shi Pi et al. on Monday 28 November We study the comoving curvature perturbation $mathcal{R}$ in general single-field inflation models whose potential can be approximated by a piecewise quadratic potential $V(varphi)$ by using the $delta N$ formalism. We find a general formula for $mathcal{R}(deltavarphi)$, which consists of a sum of logarithmic functions of the field perturbation $deltavarphi$ at the point of interest, as well as of its field velocity perturbations $deltapi_*$ at the boundaries of each quadratic piece, which are functions of $deltavarphi$ through the equations of motion. In some simple cases, $mathcal{R}(deltavarphi)$ reduces to a single logarithm, which yields either the renowned ``exponential tail'' of the probability distribution function of $mathcal{R}$ or the Gumbel distribution. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.13932v1
Logarithmic Duality of the Curvature Perturbation by Shi Pi et al. on Sunday 27 November We study the comoving curvature perturbation $mathcal{R}$ in general single-field inflation models whose potential can be approximated by a piecewise quadratic potential $V(varphi)$ by using the $delta N$ formalism. We find a general formula for $mathcal{R}(deltavarphi)$, which consists of a sum of logarithmic functions of the field perturbation $deltavarphi$ at the point of interest, as well as of its field velocity perturbations $deltapi_*$ at the boundaries of each quadratic piece, which are functions of $deltavarphi$ through the equations of motion. In some simple cases, $mathcal{R}(deltavarphi)$ reduces to a single logarithm, which yields either the renowned ``exponential tail'' of the probability distribution function of $mathcal{R}$ or the Gumbel distribution. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.13932v1
In this episode, we explore the idea that the true range of intensity of both pleasure and pain is orders of magnitude wider than we intuitively believe. This discovery has serious and important revision to ethical priorities for utilitarian and humanitarian movements.
It's hard to put the experience of Growler jet noise into words. It's just that loud. Often heard on the ground at sounds reaching between 70 and 120 decibels, Growler jet noise has a significant impact on hearing health. In this episode, audiologist Marianne Brabanski (she/her) and Associate Professor of Environmental & Occupational Health Sciences Dr. Edmund Seto (he/him) explain the technical aspects of our hearing and how loud noises like that from the Growlers can cause permanent damage. Listen to gain a true understanding of the unbelievable noise from the Growlers and its widespread impact on hearing in local residents from children to the elderly. ***Trigger warning: This episode contains a clip of Growler jet noise that may be disturbing to people with PTSD or who are sensitive to loud noises. The clip plays from 16:11:00 to 16:25:00*** Resources: Learn more about the Growler jets and how to take action at: www.SoundDefenseAlliance.org Citizens of Ebey's Reserve (COER) Glossary Terms: Decibel (dB) - A unit used to measure the intensity of a sound by comparing it with a given level on a logarithmic scale. Logarithmic scale - A way of displaying numerical data over a very wide range of values in a compact way—typically the largest numbers in the data are hundreds or even thousands of times larger than the smallest numbers. Such a scale is nonlinear: the numbers 10 and 20, and 60 and 70, are not the same distance apart on a log scale. Rather, the numbers 10 and 100, and 60 and 600 are equally spaced. Thus moving a unit of distance along the scale means the number has been multiplied by 10 (or some other fixed factor). Dose-response - The relationship between the intensity of an exposure, e.g., to an infectious pathogen, physical stressor, or a toxin, and its effect on living organisms. Nature sounds recorded in the Olympic National Park (Gordon Hempton, The Sound Tracker, Co-Founder Quiet Parks International) Hosted by Terra Huey and Caitlin Epstein Produced by Caitlin Epstein in partnership with the Sound Defense Alliance
Po-Shen Loh is a professor at Carnegie Mellon University and a coach for the US Math Olympiad. He is also a social entrepreneur where he has his used his passion and expertise in mathematics in the service of education (expii.com) and epidemiology (novid.org). In this episode, we discuss the mathematics behind Loh's novel approach to contact tracing in the fight against COVID, which involves a beautiful blend of graph theory and computer science. Originally published on March 3, 2022 on Youtube: https://youtu.be/8CLxLBMGxLE Timestamps: 00:00:00 : Introduction 00:01:11 : About Po-Shen Loh 00:03:49 : NOVID app 00:04:47 : Graph theory and quarantining 00:08:39 : Graph adjacency definition for contact tracing 00:16:01 : Six degrees of separation away from anyone? 00:21:13 : Getting the game theory and incentives right 00:30:40 : Conventional approach to contact tracing 00:34:47 : Comparison with big tech 00:39:19 : Neighbor search complexity 00:45:15 : Watts-Strogatz small networks phenomenon 00:48:37 : Storing neighborhood information 00:57:00 : Random hashing to reduce computational burden 01:05:24 : Logarithmic probing of sparsity 01:09:56 : Two math PhDs struggle to do division 01:11:17 : Bitwise-or for union of bounded sets 01:16:21 : Step back and recap 01:26:15 : Tradeoff between number of hash bins and sparsity 01:29:12 : Conclusion Further reading: Po-Shen Loh. "Flipping the Perspective in Contact Tracing" https://arxiv.org/abs/2010.03806
Dave the Wave is an investor, trader, and technical analyst. A contrarian, Dave is respected on Crypto Twitter for his objective, rational approach to technical analysis. Dave's thesis is that Bitcoin is following a Logarithmic Growth Curve model. Logarithmic growth suggests exponential gains at the beginning that slowly taper off towards a plateau in the long term. Why you should listen: Andy and Dave discuss Dave's Logarithmic Growth Curve model. Dave says that Bitcoin is a nascent currency in the process of capitalization. There are periods of volatility in both directions as new people add and subtract liquidity in adoption waves. Despite sometimes being misunderstood as bearish, Dave says that if Bitcoin follows the Logarithmic Growth Curve, Bitcoin could hit almost $1million in approximately ten years' time. Dave analyses several other Bitcoin models, such as Stock to Flow, and Lengthening Cycles, and explains why in his view, they have been invalidated, leaving Bitcoin's Logarithmic Growth Curve as the last model standing. Supporting links Masterworks Dave the Wave The Logarithmic Growth Curve Dave on Twitter Andy on Twitter Brave New Coin on Twitter Brave New Coin If you enjoyed the show please subscribe to the Crypto Conversation and give us a 5-star rating and a positive review in whatever podcast app you are using.
This Week on The Art of The Dive - The fall continues! Massive rank drops for Nick and Marco keep the spirits high! We talk DGW 33 targets, single vs. double GW players, fighting honey badgers, Chelsea/Arsenal assets, and more. Let's Dive!
In this episode, Matt and MJ lay out what they'd do as a marketing leader, with a $0 annual budget, all the way up to a $10M annual budget. Where do you spend your time? What tools do you have? What channels are you on and how much do you spend? Who is on your team? Have a listen and let us know if you agree with our strategy.
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: Logarithmic Scales of Pleasure and Pain: Rating, Ranking, and Comparing Peak Experiences Suggest the Existence of Long Tails for Bliss and Suffering, published by algekalipso on the effective altruism forum. TL;DR Based on: the characteristic distribution of neural activity, personal accounts of intense pleasure and pain, the way various pain scales have been described by their creators, and the results of a pilot study we conducted which ranks, rates, and compares the hedonic quality of extreme experiences, we suggest that the best way to interpret pleasure and pain scales is by thinking of them as logarithmic compressions of what is truly a long-tail. The most intense pains are orders of magnitude more awful than mild pains (and symmetrically for pleasure). This should inform the way we prioritize altruistic interventions and plan for a better future. Since the bulk of suffering is concentrated in a small percentage of experiences, focusing our efforts on preventing cases of intense suffering likely dominates most utilitarian calculations. An important pragmatic takeaway from this article is that if one is trying to select an effective career path, as a heuristic it would be good to take into account how one's efforts would cash out in the prevention of extreme suffering (see: Hell-Index), rather than just QALYs and wellness indices that ignore the long-tail. Of particular note as promising Effective Altruist careers, we would highlight working directly to develop remedies for specific, extremely painful experiences. Finding scalable treatments for migraines, kidney stones, childbirth, cluster headaches, CRPS, and fibromyalgia may be extremely high-impact (cf. Treating Cluster Headaches and Migraines Using N,N-DMT and Other Tryptamines, Using Ibogaine to Create Friendlier Opioids, and Frequency Specific Microcurrent for Kidney-Stone Pain). More research efforts into identifying and quantifying intense suffering currently unaddressed would also be extremely helpful. Finally, if the positive valence scale also has a long-tail, focusing one's career in developing bliss technologies may pay-off in surprisingly good ways (whereby you may stumble on methods to generate high-valence healing experiences which are orders of magnitude better than you thought were possible). Introduction Weber's Law Weber's Law describes the relationship between the physical intensity of a stimulus and the reported subjective intensity of perceiving it. For example, it describes the relationship between how loud a sound is and how loud it is perceived as. In the general case, Weber's Law indicates that one needs to vary the stimulus intensity by a multiplicative fraction (called “Weber's fraction”) in order to detect a just noticeable difference. For example, if you cannot detect the differences between objects weighing 100 grams to 105 grams, then you will also not be able to detect the differences between objects weighing 200 grams to 210 grams (implying the Weber fraction for weight perception is at least 5%). In the general case, the senses detect differences logarithmically. There are two compelling stories for interpreting this law: In the first story, it is the low-level processing of the senses which do the logarithmic mapping. The senses “compress” the intensity of the stimulation and send a “linearized” packet of information to one's brain, which is then rendered linearly in one's experience. In the second story, the senses, within the window of adaptation, do a fine job of translating (somewhat) faithfully the actual intensity of the stimulus, which then gets rendered in our experience. Our inability to detect small absolute differences between intense stimuli is not because we are not rendering such differences, but because Weber's law applies to the very intensity of experience. ...
We are joined on Metal Money by Jordan Roy-Byrne of The Daily Gold as we review gold's still forming 'textbook' cup and handle pattern that. Jordan estimates that the logarithmic target for gold could be as high as $4,000.
Software Engineering Radio - The Podcast for Professional Software Developers
Howard Chu, CTO of Symas Corp and chief architect of the OpenLDAP project, discusses the key features of B+Tree Data Structures which make it the default selection for efficient and predictable storage of sorted data.
Dave the Wave is a pseudonymous investor, trader, and technical analyst. A contrarian, Dave is respected on Crypto Twitter for his objective, rational approach to technical analysis. Dave's thesis is that Bitcoin is following his Logarithmic Growth Curve model. Logarithmic growth suggests exponential gains at the beginning that slowly taper off towards a plateau in the long term. Why you should listen: Dave the Wave has a gentleman's agreement with Plan B (stock to flow). If Bitcoin achieves a price above $100K by December this year, the stock-to-flow model will remain valid, and Dave's Logarithmic Growth Curve will be invalidated. If Bitcoin fails to break $100K by December, then stock-to-flow is invalidated and the Logarithmic Growth Curve remains valid. Dave says that Bitcoin is a nascent currency in the process of capitalization. There are periods of volatility in both directions as new people add and subtract liquidity in adoption waves. Bitcoin is following the path of gold that was capitalized over hundreds if not thousands of years, Bitcoin has already reached a market cap of 1T in just 12 years. Despite sometimes being misunderstood as bearish, Dave says that if Bitcoin follows the Logarithmic Growth Curve, Bitcoin will hit somewhere between $500k and $1million in approx ten years' time. Supporting links: Dave the Wave The Logarithmic Growth Curve Dave on Twitter The Bitcoin Liquid Index Nexo Andy on Twitter Brave New Coin on Twitter Brave New Coin If you enjoyed the show please subscribe to the Crypto Conversation and give us a 5-star rating and a positive review in whatever podcast app you are using.
Episode: 2072 Exponential growth: trying to square the metaphor with the math. Today, a national anthem has come and gone.
Episode: 2076 Exponential growth: trying to square the metaphor with the math. Today, exponential growth.
A brief description of what we mean when we say that two numbers differ by an order to magnitude. This includes a summary of what a Logarithmic is.
On this episode of the podcast, Caique and Seth discuss the Sean White lawsuit, what Antifa is, the social movement behind Hollywood movies, and the of course... much much more....
In this episode, we are looking at a different type of self-balancing tree: red-black trees. By following four very important rules while we paint our tree red and black, we can make it not only self-balancing, but also make it run super efficiently in logarithmic time. Based on Vaidehi Joshi's blog post, "Painting Nodes Black With Red-Black Trees".
Three days late for the beginning of NaNoWriMo 2016, here's a bonus episode about maps. Because nothing says "keep writing" like "hey, let's draw a map now!" Dan and Howard were joined by Maurice Broaddus, Mur Lafferty, and James L. Sutter, who wanted to talk about maps. As Napoleon Bonaparte is rumored to have said prior to invading Russia, "geography is destiny." We talk port dwarves, rolling glaciers, star systems, and more. Liner links: Logarithmic star map Tolkien's map of Middle Earth Center-Pivot Irrigation (75 years old, not 50 as Howard said) Credits: This episode was mastered by Alex Jackson, and was made possible by the generous support of the GenCon Indy Writer's Symposium, and the Writing Excuses patrons at Patreon.
I discuss my theory on being a fan on something and how it may not be a straight line Kilobyte 9: Gotta Have It The Wirecutter Wifi router reviews Netgear AC1750 (R6400) Logarithmic Scale (wikipedia) DmbAlmanac.com Have a great day!
Basic Science Clinic by Steve Morgan & Sophie Connolly So mathematical truth prefers simple words since the language of truth is itself simple. Tycho Brahe Welcome to Basic Science Clinic, this is Crit think episode 5. Today our exploration of the mathematical architecture of our most inexact of sciences brings us upon the edifice of logarithms and exponentials. Daunting as it may sound, we will try to tease out their utility and relevance to critical care medicine and even attempt to penetrate the secrets of the mysterious number e. Logarithmic transformations permeate pharmacokinetic, biological and physiological modelling. Exponentials are the inverse function of the logarithm, and the special properties of explosive exponential change in quantities has implications for ventilation, pharmacotherapy and beyond. Euler’s number, e, represents the idea that all continually growing systems are scaled versions of a common rate. Describing e as a constant approximating 2.718 is like calling pi an irrational number approximating 3.141. It’s true but it totally misses the point. Pi is the ratio between the circumference and diameter of every circle. It is a fundamental ratio and therefore impacts any calculation involving circumference, area, volume and surface area for all circles, spheres and cylinders. e is not just a number it is about the fundamental relationship between all growth rates. Thanks for listening. From The Happy Prince by Oscar Wilde: “I am so clever that sometimes I do not understand a single word of what I am saying.” Word of the day: evanescent Literary: soon passing out of sight, memory, or existence; quickly fading or disappearing. Physics: denoting a field or wave which extends into a region where it cannot propagate and whose amplitude therefore decreases with distance. For feedback, corrections and suggestions you can contact us on the twitter handles @falconzao and @sophmconnolly or post on Intensive Care Network. Next up is the last in this Crit Think: You Do the Math(s) series and we will examine the mathematics behind clinical measurement.
A game that only has one character with one quest and with one shop that sells one item is not going to be very fun. You have choices for storing collections of items and this episode continues more than a week long exploration of collection types available. Up today is the binary tree. I will explain what binary trees are and then give you some guidance on when to use them.
Have you ever thought about why you cannot see stars during the day? How about why car headlights are so much brighter at night? Or why you can only hear a pin drop in a silent room? All of our body senses are like this. Our body is logarithmic.
In this episode you'll learn about: What is pH How pH affects your cells How pH affects your physiology Does Ionized Alkaline Water work? 7 tips to balance your pH levels [convertkit form=4873874] Show Notes [1:44] – The discovery of pH. Measured the concentration of Hydrogen ions [H+]. Logarithmic scale going from 0 to 14. […] The post Episode 4: All about pH and it's effects on your body part 1 appeared first on Triple Play Performance Podcast.
In this episode you’ll learn about: What is pH How pH affects your cells How pH affects your physiology Does Ionized Alkaline Water work? 7 tips to balance your pH levels [convertkit form=4873874] Show Notes [1:44] – The discovery of pH. Measured the concentration of Hydrogen ions [H+]. Logarithmic scale going from 0 to 14. […] The post Episode 4: All about pH and it’s effects on your body part 1 appeared first on Triple Play Performance Podcast.
Jonas and Phil talk about resolutions, negativity, and might actually be partly helpful. This is the long awaited followup to the Logarithmic Happiness Scale show.
Calculates the Taylor series for the natural logarithmic function about the point x = 1.
Jonas joins the group again and we all get to talking quite a bit about fame on the internet and how things have changed.
Math 103-College Algebra
Math 103-College Algebra
J. Angulo
EXTRA PRACTICE
Overview of various types of functions
This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to simplify a function before taking a derivative. This particular screencast shows typed explanations. Please compare to the other screencast going through the same example but with handwritten explanations, and send us feedback on which explains this concept better.
This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to simplify a function before taking a derivative. This particular screencast shows handwritten step by step explanations. Please compare to the other screencast going through the same example but with typed explanations, and send us feedback on which explains this concept better.
Gross, M (UCSD) Friday 17 June 2011, 14:00-15:00
Math 110 Applied Calculus for Business
Transcript -- A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged.
A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged.
A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged.
Transcript -- A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged.
Transcript -- A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged
A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged
Transcript -- A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged
A fun, easy introduction to the scale of noise pollution and what kind of exposure leaves the ear irreparably damaged