Probability theorems | Quantum measurement | Hilbert space
In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from the usual mathematical representation of measurements in quantum physics together with the assumption of non-contextuality. Andrew M. Gleason first proved the theorem in 1957, answering a question posed by George W. Mackey, an accomplishment that was historically significant for the role it played in showing that wide classes of hidden-variable theories are inconsistent with quantum physics. Multiple variations have been proven in the years since. Gleason's theorem is of particular importance for the field of quantum logic and its attempt to find a minimal set of mathematical axioms for quantum theory. (Wikipedia).
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
John Pardon: Totally disconnected groups (not) acting on three-manifolds
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Theory of numbers: Gauss's lemma
This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di
From playlist Theory of numbers
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Wolfram Physics Project: Working Session Thursday, May 7, 2020 [Quantum Effects | Part 2]
This is a Wolfram Physics Project working session on Bell's-like inequalities and other quantum effects in the Wolfram Model. Begins at 10:05 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Che
From playlist Wolfram Physics Project Livestream Archive
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
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 nonabelian Brunn-Minkowski inequality - Ruixiang Zhang
Members’ Seminar Topic: A nonabelian Brunn-Minkowski inequality Speaker: Ruixiang Zhang Affiliation: University of Wisconsin-Madison; Member, School of Mathematics Date: January 25, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Warning Signs of Prostate Cancer
Visit our website to learn more about using Nucleus content for patient engagement and content marketing: http://www.nucleushealth.com/ Learn about the signs and symptoms of prostate cancer. #prostatecancer #symptoms #nucleus You or someone you care about has been diagnosed with prostate
From playlist Cancer (Oncology)
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
What is quantum mechanics? A minimal formulation (Seminar) by Pierre Hohenberg
29 December 2017 VENUE : Ramanujan Lecture Hall, ICTS , Bangalore This talk asks why the interpretation of quantum mechanics, in contrast to classical mechanics is still a subject of controversy, and presents a 'minimal formulation' modeled on a formulation of classical mechanics. In bot
From playlist US-India Advanced Studies Institute: Classical and Quantum Information
Differential equations are solved to the task of graphing the change in concentration of the prostate-specific antigen in prostate cancer patients. Note: Most equations are original to the writings of Ernest Rutherford.
From playlist Wolfram Technology Conference 2022
Marvin Minsky Toshiba Professor of Media Arts and Sciences and Computer Science and Engineering, emeritus Head, Society of Mind Group Marvin Minsky was the Toshiba professor of media arts and sciences and computer science and engineering emeritus at MIT. Professor Minsky was a pioneer in
From playlist AI talks
Class 10: TV Genres | MIT 21L.432 Understanding Television, Fall 2001
Class 10: TV Genres Instructor: David Thorburn View the complete course: http://ocw.mit.edu/21L-432S03 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 21L.432 Understanding Television, Spring 2003
The Real Guide to Imaginary Companions - Episode 1
From Dipper, the celestial dolphin; to Alice and Jewel, the pink-skinned twins; to Jim Scott, the invisible man in the moon, children's imaginary friends come in innumerable shapes and sizes. Categorizing these creations—while also trying to glean information about the mindset and person
From playlist The Real Guide to Imaginary Companions
Cosets and equivalence class proof
Now that we have shown that the relation on G is an equivalence relation ( https://www.youtube.com/watch?v=F7OgJi6o9po ), we can go on to prove that the equivalence class containing an element is the same as the corresponding set on H (a subset of G).
From playlist Abstract algebra