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SciMedTV
Приєднався 13 лис 2016
SciMedTV is a collection of scientific and medical videos for students and professionals. At www.scimedtv.com users may search the transcripts of over 300,000 videos at our Science and Medicine Video Library.
Chaos, Fractals and Dynamics: Computer Experiments in Mathematics, Robert L. Devaney
This video introduces mathematicians, students and teachers to the exciting mathematical topics of chaos, fractals and dynamical systems. Robert L. Devaney describes the underlying mathematical concepts and presents amazing computer animations.
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Відео
The Beauty and Complexity of the Mandelbrot Set, John H. Hubbard
Переглядів 2,7 тис.7 років тому
In this video lecture, Prof. John H. Hubbard explains the origin and significance of the Mandelbrot set, one of the most important mathematical discoveries of the last century. Hubbard describes how the Mandelbrot set arose from the discovery of Julia and Fatou sets through the process of iterating the quadratic function on the complex plane.
The Art of Renaissance Science: Galileo and Perspective, Joseph W. Dauben
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Prof. Joseph W. Dauben discusses the life of Galileo, the origin of perspective drawing and the interaction of art and science in the Renaissance. His presentation includes dozens of artworks and recreations of experiments.
Introducing Mathematica, Stephen Wolfram
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In this 1989 video presentation, Mathematica (TM) creator Stephen Wolfram demonstrates his award winning mathematics software. Wolfram demonstrates numerical calculations, algebraic calculation and graphical renderings. He concludes with a discussion of programming.
Natural Minimal Surfaces Via Theory and Computation, David Hoffman
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Prof. David Hoffman presents current research in the mathematical theory of minimal surfaces. His lecture is illustrated with animated computer graphics of newly discovered surfaces.
Transition to Chaos: The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney
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In this video lecture by Prof. Robert L. Devaney, the mathematical structures known as the Orbit Diagram and the Mandelbrot set are explained and illustrated. This video constitute an introduction to chaos theory and complex analytic dynamics.
Why use matlab?
What a treasure
amazing
Very VHS- ssy
WOW. This video will go down in the history of computing.
I just spent most of last night and today recording a commentary examining what MMA 1 expressions in this 1989 demo by Stephen Wolfram still work today in Mathematica 13.2.0 (though I know MMA 14.0.0 is most current, I can’t run it for technical reasons). Pretty much everything except eight expressions run today without modification of any sort. So for example, there is a Plot3D with a call to an HSBColor function that was included on the original floppies in a package file named Colors.m. But I can figure out from the context and from knowing the HSBColor (hue, saturation, brightness) to RGBColor (linear additive red, green, blue) spaces. So while you can’t express it that way you can get the same thing.by building your own function. But then the form of Plot3D that is being used is basically Plot3D[ {heightFunction, colorFunction} ] which isn’t supported today. You need to rewrite this as follows with a colorFunction that accepts three formal parameters for x, y, z (not a list of three variables, but three formal parameters): Plot3D[ heightFunction, ColorFunction->colorFunction, {x, 0, -2Pi}, {y, 0, 2Pi) ] After much fiddling I got this type of expression to work, defining the color function using Wolfram’s original trig in the first item within the HSBColor as this option: ColorFunction->Hue[…trig expr on x,y…] &. The darn thing plots now but the colors don’t seem to correspond to what MMA 1 displayed. I’ve given up for the moment trying to get the colors to match… but they’re wildly different and not likely a lighting effect. I call that the “Holy Grail Plot” since as yet I’ve been unable to reproduce that plot yet no matter what I’ve tried. And then the other five or six places where things don’t work are fairly simple, though interesting. - for which there are easy workarounds Going in to this effort, I thought all of the Mathematica 1 expressions which weren’t tied to external packages from Colors.m and Polyhedra.m would run today, but that’s not quite the case. Still extraordinary from a software engineering standpoint to have such revolutionary software stand the time and still accept all but six or seven expressions today on modern versions, operating systems, and live typesetting and 3D rotations of functions at high resolutions (GPUs built in rather than requiring specialized hardware). I’m very excited to have recorded this video today, and will see if I can contact the Science Television Company to see to what extent I can refer to their video without infringing on their copyrights. Certainly using a few still frames from their video while commenting on the math and many of the technical details shouldn’t be considered infringement, and I don’t plan to sell my video but just to post it to UA-cam as a “deep dive” into the details of this demo. ChatGPT 3 seems to think this company is here… a starting point for me. Science Television Company email: admin@scitv.com Phone: (917) 593-2537 Mailing address: 460 W 24th St. #3a, New York, NY 10011 …and there is also a satellite office located in Boulder, CO which may still be in business, it would seem. The website doesn’t seem to work well, so maybe their out of business, but I’ll try the emails GPT-3 seems to believe exist.
Shirk was a madman.
who is that long haired hippie?
Fascinating glimpse from the early turns on one road less travelled
The difference in intelligence beween prof. Wolfram and me is calculated by Mathematica here: 2:08
Same here. Well he is a mighty exponent
I spent an hour watching this when I could have learned how to turn a sphere inside-out.
this is really cool, how he could optimizecomputational software with limited hardware in 1989?
Eh ?
John Bonham. John Henry Bonham. Moby Dick Dick!
The Mother of All Demos
Maybe AI and the Wolfram Language can one day restore the good professor’s hair
I tell you, this stuff will be the future.
Thank you for this video to learn. The face here is more familiar than in other videos Thanks GOD for Stephen Wolfram.
I LOVE MATH SO MUCH IM SO FERAL OVER THIS VIDEO AAAAAAAAA
You mean God had an infinite amount of time, yet He cuts corners to simulate this reality?
haha he had a beard?
Too loud, explains one piece of math jargon with something still more jargonized.
Holy! He wasn't bald and clean shaven!
I remember spending almost a whole day solving some integrals for my degree. I never knew about mathematica, could've helped me check some of those integration by parts problems.
impressive
Math is Beauty Beauty is Math 😍
Let’s all pay some respect to Wolframs epic chad beard.
Hello good evening, I am trying to solve the following logarithm with wolfram mathematica but I can't get the program to give me a solution: Log2[X = 6] is 64 but I can't get the program to give me that solution, how do I do it as is the syntax that should i put??
Great Mathematician Prof.R. Devaney, your works in complex dynamics , Mandelbrot, Juila sets are greatest , with books that clearly describes the cycles of complex variable (i*2*pi*theta)
That's hillarious!Looking back :))))))) I can already see his thinking
What computer was this running on?
Thank you for sharing this 🐚🌿🌀
tfw the first spelling error is on the opening screen
he never changed <3 :D
And the rest is history, .
What is the computer and operating system its running on ?
Non-math people will never understand the genius this man always has been
hair vs no hair
A rare super genius .. .or perhaps a time traveler
Stephen still sounds exactly the same today as I listen to him talk about the future of Arrays in Mathematica on Twitch right now.
what computer is he using? a PC 286 ?
He is very clear and even 30+ years ago iMathematica seems pretty adwanced and usefull
1989 I was wondering why my rasperry pi was solving equations faster then his computer.
він такий смішний
Nice artwork. Complexity is not the word to describe these dynamics. Can such dynamics derived from simple rules describe the brain? No. These are tools to understand stability and chaos in toy mathematical systems, and to produce nice artwork.
21:32 Calculus 28:08 Graphics 39:56 Programming 51:30 External Interaction
Thanks for that roadmap!
161111111. Is that where you are varying
Thankyou. Much appreciated.
How many are going to St. Ives.
Thx.