Podcasts about complex numbers

Why can't you divide by zero? Neil deGrasse Tyson and Chuck Nice discuss higher dimensions, dividing by zero, and math's unsolved questions with math YouTuber Grant Sanderson (3blue1brown).NOTE: StarTalk+ Patrons can listen to this entire episode commercial-free here:https://startalkmedia.com/show/the-language-of-the-universe-with-grant-sanderson-3blue1brown/Thanks to our Patrons Nicolas Alcayaga, Ryan Harris, Ken Carter, Ryan, Marine Mike USMC, VARD, Mile Milkovski, Gideon Grimm Gaming, Shams.Shafiei, Ben Goldman, Zayed Ahmed, Matt Nash, Stardust Detective, Leanice, morgoth7, Mary O'Hara, David TIlley, Eddie, Adam Isbell-Thorp. Armen Danielyan, Tavi, Matthew S Goodman, Jeremy Brownstein, Eric Springer, Viggo Edvard Hoff, Katie, Kate Snyder, Jamelith, Stanislaw, Ringo Nixon, Barbara Rothstein, Mike Kerklin, Wenis, Ron Sonntag, Susan Brown, Anti alluvion, Basel Dadsi, LoveliestDreams, Jenrose81, Raymond, David Burr, Shadi Al Abani, Bromopar, Zachary Sherwood, VP, Southwest Virginia accountability, Georgina Satchell, Nathan Arroyo, Jason Williams, Spencer Bladow, Sankalp Shinde, John Parker, Edward Clausen Jr, William Duncanson, Mark, and Dalton Evans for supporting us this week. Subscribe to SiriusXM Podcasts+ to listen to new episodes of StarTalk Radio ad-free and a whole week early.Start a free trial now on Apple Podcasts or by visiting siriusxm.com/podcastsplus.

In this episode of Mathematics Simplified, we dive into the world of complex numbers! Join us as we break down what complex numbers are, why they're important, and how they're used in mathematics and beyond. We'll explain the basic form of a complex number and walk through simple operations like addition and multiplication. Plus, we'll cover key concepts like the conjugate and modulus of a complex number. Whether you're new to complex numbers or just need a refresher, this episode is designed to make these concepts clear and approachable!

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...

2023.02.19 - Grasshopper Complex - Numbers 13:1-2, 17-20, 26-28, 32-33  - Michael Mills, Pastor - Agape Baptist Church - Fort Worth, Texas

Welcome to Morning Inspiration With Pastor Walt! Start your day with encouragement from The Word Of God!Partner With Chosen City Church:https://www.chosencitychurch.com/partner-with-usSupport Chosen City Church:https://www.chosencitychurch.com/givePodcasts and More:https://linktr.ee/chosencitychurchConnect With Chosen City Church:Website: https://chosencitychurch.comInstagram: @ChosenCityChurchYouTube: Chosen City ChurchFacebook: Chosen City Church

Arya Desai studies Astrophysics at UIUC and is incredibly talented at explaining science concepts. EPISODE LINKS: Arya Desai's LinkedIn: https://www.linkedin.com/in/arya-desai-36b962220 Arya Desai's Instagram https://www.instagram.com/desai_arya/?hl=en OUTLINE: 0:00 - Introduction 1:18 - Cosmic Neutrino Background 4:30 - The Standard Model & Subatomic Particles 8:25 - Physics Stagnation? 13:20 - How to excite people about physics 15:48 - Jobs as a physics major 18:10 - Simulation hypothesis 23:40 - Free will 28:30 - Untestable Hypotheses 31:10 - New Math, Complex Numbers, and Darwinism 46:40 - Sadness 52:05 - Big TV, Hedge Funds, Doing What You Actually Want 1:02:22 - Climate change 1:09:55 - Crying 1:14:28 - Advice for young people

Complex numbers are NOT complex! How complex numbers are used in AC circuit analysis. 00:00 – Complex Numbers 00:44 – Phasor graphical addition 01:22 – Why do calculators have the R-P and P-R buttons? 02:44 – Phasor diagram 03:59 – The AC voltage equation 04:47 – The complex plane and j vs i imaginary axis ...

Jan-Willem Prügel questions three Oxford mathematicians about the mythical entities known as numbers. What are they? And perhaps even more importantly, why are they? Show notes: https://media.podcasts.ox.ac.uk/ball/in_our_spare_time/sparetimes-number-systems-show-notes.pdf

Jan-Willem Prügel questions three Oxford mathematicians about the mythical entities known as numbers. What are they? And perhaps even more importantly, why are they? Show notes: https://media.podcasts.ox.ac.uk/ball/in_our_spare_time/sparetimes-number-systems-show-notes.pdf

Are you ready to expand your Python knowledge into the intermediate to advanced territory? What tools are awaiting your discovery inside Python's functools module? This week on the show, David Amos is back, and he's brought another batch of PyCoder's Weekly articles and projects.

«We, 22nd Century» Album: Part 1. Years will pass Part 2. You dreamed Part 3. Air of dreams Part 4. You are one in the world p & c 2018 NEANE Records release date: October 6, 2018 duration: 24 '03" style: electronica, trance, techno, synth pop, 8 bit, Russian pop with smart lyrics catalog number: NR-2037 The fourth album of the project " Complex Numbers | / "Complex Numbers". A story about a man of the XX century who got into the XXII century through cryofreezing. The new society considers itself a utopia and a Paradise on Earth. But from the point of view of the values of the XX century, it also has a dystopian feature: the destruction of the concept of personality and individuality. And so deep and cunningly grounded that Zamyatin, Huxley and Orwell smoke on the sidelines. Music: Andrey Klimkovsky, Viktor Argonov. Text, arrangement: Viktor Argonov. Vocals: Len, Ariel. http://neane.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

D Creations - Talk Physics Series - Episode 11 - Fundamentals of Complex Numbers - Mathematics- Science and Arts - Learn Science - Teach Physics - Science Concept Communication --- Send in a voice message: https://anchor.fm/d0531/message

N W Z Q R

The SEAN for SCIENCE Podcast is targeted at a thoughtful, general audience. Our first season, How to Solve the Schrödinger Equation, will offer a physicist's tour of the microscopic. It's my take on a modern introduction to Quantum Mechanics, braided with my own experiences and stories that led to my perspective on the subject. This initial episode, Chapter Zero, looks at a the first necessary but unfamiliar ingredient to our story, the Complex Numbers.

Complex Networks is reportedly on track for $200 million in revenue this year. In this episode, Baesler provides a deep dive on the company and its portfolio of media brands and events focused on sneaker culture, hip hop and food.

1 Overture (Instrumental)5:26 2 prologue (narrator's Monologue)2:05 3 Plenum2:31 4 In the stellar vortex of time (storyteller's Aria)3:46 5 Congress 4:42 6 Fruit mixed approach (Aria melenevskaja)2:03 7 Automation (Instrumental)2:33 8 Dogma (narrator's Monologue)0:58 9 Doubts (Aria Milinevsky)1:34 10 angel of new life (Aria Milinevsky)4:59 11 the Fruits of people's love 1:21 12 To the ghostly light (Aria limaeva)3:47 13 Sorry!..0:39. 14 Meetings 2:30 15 200 minutes (storyteller's Aria)3:41 16 Programmers 1:00 17 Two months (storyteller's Aria)1:32 Переворот1 18:31 19 Sleep (Instrumental)4:50 20 Provocation 0:54 21 the Great hour (Aria Milinevsky)1:12 22 Red dawn (Instrumental)3:45 23 Nodes7:19 24 Continuation of yourself (Aria asgu)4:25 25 Inpatient 3:45 26 Night (Instrumental)1:23 27 Unprofitable way (Aria Milinevsky)4:19 28 Election1:37 29 Last fight (Instrumental)2:05 30 epilogue (narrator's Monologue)0:34 31 Winter (storyteller's Aria)5:02 32 Distant light (Vocalise the ASG / limeaway) Artist: Victor Argon Project 2007 electronics Alternative history of the USSR in 2032. Music, lyrics, arrangement: Victor Argon. Guitar parts: Alexander Asinsky. Vocal roles: Vitaly Trofimenko, Ariel, Elena Yakovets. Speech roles: Denis Shamrin, Evgeny grivanov, Andrey Ivanov, Dmitry Gonchar, Sergey Goncharov. The link to the site of the "Complex Numbers" (including Victor Argonov Project) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

The release of this program included a collection of songs by the Russian music group Complex Numbers (including Victor Argon Project) The link to the site "Complex Numbers" (including the project of Viktor Argonova) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

1.Introduction 01:21 2.Ways of Civilizations (2002 version) 04:17 3.Sunset over Earth 05:39 4.Sunny Rain 04:21 5.Unterwater Tunnel 04:17 6.Running Start 04:13 7.Typhoon 05:34 8.Minbari Snow 05:31 9.Acceleration (1998 version) 03:42 10.Conveyor 04:31 11.In the Flight 03:51 12.Two Systems 06:54 13.Earth's Attraction 04:19 credits released September 18, 2002 The first album Complex Numbers. Music: Frol Zapolsky, Victor Argon, Ilya Pyatov, Alexander Osinski. Text: Victor Argon, Ilya Pyatov. Vocals: Natalia Mitrofanova. The link to the site of the "Complex Numbers" (including Victor Argonov Project) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

Much is written about life as an undergraduate at Oxford but what is it really like? As Oxford Mathematics's new first-year students arrive (273 of them, comprising 33 nationalities) we thought we would take the opportunity to go behind the scenes and share some of their experiences. Our starting point is a first week lecture. In this case the second lecture from 'An Introduction to Complex Numbers' by Dr. Vicky Neale. Whether you are a past student, an aspiring student or just curious as to how teaching works, come and take a seat.

Much is written about life as an undergraduate at Oxford but what is it really like? As Oxford Mathematics's new first-year students arrive (273 of them, comprising 33 nationalities) we thought we would take the opportunity to go behind the scenes and share some of their experiences. Our starting point is a first week lecture. In this case the second lecture from 'An Introduction to Complex Numbers' by Dr. Vicky Neale. Whether you are a past student, an aspiring student or just curious as to how teaching works, come and take a seat.

This podcast is about Complex Numbers. Christian tells why you need them - actually are Complex Numbers the Gaffa Tape of the Mathematics

We exploit the analogy between complex numbers and 2 by 2 matrices to perform complex number reciprocals and division.

In episode #449, Bart Busschots walked us through how he'd solve the first half of the JavaScript challenges from PBS 19. This week we finish the second half of the 5th problem about Complex Numbers. Like the last episode, we're giving you the audio in the podcast, but if you'd like to watch the video of Bart building the solutions, you can see that over on podfeet.com.

What do you get when you put a real and an imaginary number together? A complex number. No, not a complicated number (although it kind of is), we’re talking about an entirely new set of numbers dubbed “complex.” Read the full transcript here: http://bit.ly/1JLrpJk

A teaching assistant works through a problem on complex numbers and Euler's formula.

Introduces the exponential form for a complex number and demonstrates how this is consistent with the multiplication/division rules in modulus/argument form as well as interpretations as a scaling/rotation operator.

Looks at the computation of square roots using complex number algebra. This uses simple problems to establish an approach to such problem solving which subsequently can be applied to more complex root problems.

Shows how the rules for multiplication/division in modulus/argument form lead to a very useful interpretation of complex numbers as scaling and rotation operators. This is used to solve problems in many engineering scenarios. Obvious typo at 7min 30 where writing uses 110 instead of 100.

A number of questions for students to test their understanding of the videos in this series followed by worked solutions.

Introduces fast methods of complex number division using the modulus/argument form. Spends sometime 'demonstrating' the vailidity of the result, although viewers could focus on just the result should they choose.

Introduces fast methods of complex number multiplication using the modulus/argument form. Spends sometime 'demonstrating' the vailidity of the result, although viewers could focus on just the result should they choose.

Introduces the concepts of modulus and argument. Also spends some time showing how the modulus and argument of conjugates and inverses are related to the orginal complex number.

A rapid review of complex numbers as would be covered in introductory lectures. Thus definitions, the Argand diagram, simple multiplication, division and addition and complex conjugates.

Shows how to solve for cube roots, 4th roots and so on of complex numbers. Makes use of De Moivre's Theorem, but the focus is on a simple presentation style which shows why the result works.

Gives the general formula then applies this to an example. Cartesian form is convert to polar form, then the required power of the number is calculated, and finally the result is converted back into Cartesian form.

We show how complex number arithmetic can be performed using matrices for the complex numbers.

The conditions for equality of complex numbers are given. An example of grouping and then equating real and inaginary parts of complex numbers on both sides of an equation to find unknown quantities is then given.

Math 103-College Algebra

For many applications we find that it is much easier to represent our physical quantities in terms of complex numbers rather than just using real numbers alone. The concept of complex numbers comes from the continuation of functions such as square-root and logarithm that only apply to positive numbers in their traditional definitions. Figure 1 shows the function √ x. Other functions like ln x, sinx, etc., also have limits on their arguments, and complex numbers allow us to define these functions over the full range of real numbers.

The general formulae for multiplication and division of complex numbers in polar form are given and their use is then demonstrated in relation to a particular example

The general principle is explained of how to divide one complex number by another when both numbers are written in Cartesian form, so that the denominator of the final answer is a real number. A specific example of using this process is then given.

Through an examples shows how to multiply complex numbers introducing the powers if i such as i^2.

Through a couple of examples shows how the addition and subtraction of complex numbers in cartesian form works

You may have met complex numbers before, but not had experience in manipulating them. This unit gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The unit includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published in ePub 2.0.1 format, some feature such as audio, video and linked PDF are not supported by all ePub readers.

This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published in ePub 2.0.1 format, some feature such as audio, video and linked PDF are not supported by all ePub readers.

Complex Numbers. Get a pdf document on this topic via the website http://www.infj.ulst.ac.uk/~mmccart/hom.htm

Computer generated animations looking at 'Complex Numbers'.

Transcript -- Computer generated animations looking at 'Complex Numbers'.

Computer generated animations looking at 'Complex Numbers'.

Transcript -- Computer generated animations looking at 'Complex Numbers'.

Using the law of sines and cosines, we explor vectors, complex numbers and applications (aka "Word problems").

Math 051-Intermediate Algebra

Grade 12

Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.

Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.