In mathematical analysis, Ehrenpreis's fundamental principle, introduced by Leon Ehrenpreis, states: Every solution of a system (in general, overdetermined) of homogeneous partial differential equations with constant coefficients can be represented as the integral with respect to an appropriate Radon measure over the complex “characteristic variety” of the system. (Wikipedia).
A brief description of the "Basic Principle" and how it can be used to test for primality.
From playlist Cryptography and Coding Theory
What Heisenberg's Uncertainty Principle *Actually* Means
Let's talk about one of the most misunderstood but awesome concepts in physics. The Heisenberg uncertainty principle. Or maybe it should be the Heisenberg 'fuzziness' principle instead? Would that confuse less people?
From playlist Some Quantum Mechanics
Fundamental Principle of Counting Example 2
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.
From playlist Probability and Counting
Change of variables and the derivative -- Calculus I
This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus I
The Bernstein Sato polynomial: Introduction
This is the first of three talks about the Bernstein-Sato polynomial. The second talk should appear at https://youtu.be/FAKzbvDm-w0 on Dec 22 5:00am PST We define the Bernstein-Sato polynomial of a polynomial in several complex variables, and show how it can be used to analytically con
From playlist Commutative algebra
What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217
Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin
From playlist Math Foundations
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Aufbau's Principle, Hund's Rule & Pauli's Exclusion Principle - Electron Configuration - Chemistry
This chemistry video explains what is the aufbau's principle, hund's rule, and pauli's exclusion principle and how it relates to orbital diagrams, electron configuration, and quantum numbers. The basic idea of aufbau's principle is that you should fill orbitals with arrows starting from t
From playlist New AP & General Chemistry Video Playlist
The Zeroth Law of Thermodynamics: Thermal Equilibrium
You've heard of the laws of thermodynamics, but did you know there are actually four of them? It's true, and since they already had laws one, two, and three, but then wanted to formulate another more fundamental one, the number right before one is zero so that's what they called it! Also,
From playlist Classical Physics
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
A positive proportion of plane cubics fail the Hasse principle - Manjul Bhargava [2011]
Arithmetic Statistics April 11, 2011 - April 15, 2011 April 11, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12761
From playlist Number Theory
Leonard Susskind - What's Fundamental in the Cosmos? (Part 1)
Dig down to the deepest level of reality, the smallest things that exist, the building blocks of everything else. What do we find? What's there at the very bottom? That's what's 'fundamental'. Everything else is derivative, built up from the bottom. So what's there at the bottom? So what's
From playlist Closer To Truth - Leonard Susskind Interviews
Fundamental Counting Principle | AND OR Rule | PERMUTATION SERIES | CREATA CLASSES
This is the first video under the PERMUTATION series. This video covers the Fundamental Principle of Counting. And also the concept of AND and OR is discussed in detail. All these with help of Animation & Visual tools. Visit our website: https://creataclasses.com/ For a full-length co
From playlist PERMUTATION
Is the Universe an Accident? | Big Think
Is the Universe an Accident? Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Theoretical physicist Alan Lightman suggests t
From playlist The universe explained | Big Think
A non-linear spinor theory of elementary particles
This presentation is about a non-linear spinor theory of elementary particles developed by Norbert Winter, an elementary particle physicist and former employee of the Max-Planck Institute for Physics in Munich, Germany. The idea of a non-linear theory of elementary particles dates back to
From playlist Summer of Math Exposition Youtube Videos
No Cause for Concern: Indefinite Causal Ordering / Tool for Understanding Entanglement: Conversation
Moderated Conversation with Yemima Ben-Menahem, Department of Philosophy, The Hebrew University of Jerusalem and Professor Elise Crull. Understanding the sorts of explanations and inferences that causal processes countenance is of course of great interest to philosophers and physicists (am
From playlist Franke Program in Science and the Humanities
WSU: Fundamental Lessons from String Theory with Cumrun Vafa
Cumrun Vafa, together with fellow world-renowned string theorist Andrew Strominger, developed a new way to calculate black hole entropy in the language of string theory. Follow Vafa as he guides you through some of the more incredible things we have learned since string theory’s inception.
From playlist WSU Master Classes
WSU: Fundamental Lessons from String Theory with Cumrun Vafa
Cumrun Vafa, together with fellow world-renowned string theorist Andrew Strominger, developed a new way to calculate black hole entropy in the language of string theory. Follow Vafa as he guides you through some of the more incredible things we have learned since string theory’s inception.
From playlist WSU Master Class
Computing Limit - Computerphile
Just how far can we go with processing speed? Physicist Professor Phil Moriarty talks about the hard limits of computing. Technical physics (aside) video: https://youtu.be/mBdCE5hOexM https://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and ed
From playlist Professor Moriarty - Sixty Symbols
David Deutsch - Do General Principles Govern All Science?
Are there 'general principles' that encompass all sciences, which have explanatory strength from physics to biology? Could such general principles even explain actions and activities beyond the physical and biological sciences, such as in psychology, sociology and economics? For more vide
From playlist Closer To Truth - David Deutsch Interviews