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数学及其应用
https://www.quantamagazine.org/what-makes-for-good-mathematics-20240201/
Quanta Magazine
What Makes for ‘Good’ Mathematics?
Terence Tao, who has been called the “Mozart of Mathematics,” wrote an essay in 2007 about the common ingredients in “good” mathematical research. In this episode, the Fields Medalist joins Steven Strogatz to revisit the topic.
数学及其应用
https://www.cantorsparadise.com/how-mathematics-can-help-us-understand-consciousness-77ac0f9ac12f
Medium
How Mathematics Can Help Us Understand Consciousness
Is there a way to quantify and model the phenomena of awareness, feelings, thoughts, and selfhood?
数学及其应用
https://writings.stephenwolfram.com/2024/01/the-story-continues-announcing-version-14-of-wolfram-language-and-mathematica/
Stephenwolfram
The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica
Wolfram's Version 14 includes expansive connections to and from LLMs. New learning tools, including courses and books. Plus, functionality advances in math, core language, video objects, trees, finite fields, Knowledgebase, systems engineering, graphics.…
数学及其应用
https://youtu.be/53nZY5udKHQ
YouTube
Probability Lecture 1: Events, probabilities & elementary combinatorics - 1st Year Student Lecture
The First Year Probability lectures are for Oxford students of Mathematics, Computer Science and joint degree courses between Mathematics and Statistics and Mathematics and Philosophy.
Lecture 1 (the first of six we are showing) takes the intuitive notion…
数学及其应用
https://en.wikipedia.org/wiki/Reverse_mathematics
Wikipedia
Reverse mathematics
Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms", in contrast to the…
数学及其应用
https://youtu.be/aqotJh9IcR4
YouTube
Day 3 - Interview to Terence Tao - Umberto Bottazzini
at Napoleonic hall of Brera palace
数学及其应用
https://youtu.be/Vr_-47U_TAc
YouTube
Probability Lecture 2: Events, probabilities and the axiomatic setup - 1st Year Student Lecture
After a few more examples of counting problems, Lecture 2 (of six we are showing) turns to the general axiomatic setup of probability theory, which gives rise to the notion of a probability space.
You can watch many other student lectures via our main Student…
数学及其应用
https://www.youtube.com/live/lsAN1eUh9j4
YouTube
The Abel Prize announcement 2024
The Abel Prize is awarded by The Norwegian Academy of Science and Letters, on behalf of the Ministry of Education. The President at The Academy, Lise Øvreås, will announce The Abel Prize laureate 2024.
Who will be this year's recipient(s) of The Abel Prize?…
数学及其应用
https://youtu.be/XygLynqrWt8
YouTube
Chaining: a long story - Michel Talagrand
Lecture by professor Michel Talagrand, recipient of the 2022 Stefan Banach Medal of the Polish Academy of Sciences, 8th September 2022, Warsaw.
数学及其应用
https://www.nicolasboumal.net/book/
www.nicolasboumal.net
An introduction to optimization on smooth manifolds
Resources for book introduction to optimization on smooth manifolds
数学及其应用
The Man Who Saved Geometry
https://vimeo.com/120725835
数学及其应用
https://youtu.be/u9GAnW8xFJY
YouTube
The Mandelbrot Set: Math's Famous Fractal
The Mandelbrot set is a special shape, with a fractal outline. Use a computer to zoom in on the set’s jagged boundary and no matter how deep you explore, you’ll always see near-copies of the original set — an infinite, dizzying cascade of self-similarity…
数学及其应用
https://www.kaggle.com/competitions/ai-mathematical-olympiad-prize
Kaggle
AI Mathematical Olympiad - Progress Prize 1
Solve national-level math challenges using artificial intelligence models
数学及其应用
https://mathenchant.wordpress.com/2024/04/17/jewish-mathematics/
Wordpress
“Jewish Mathematics”?
Quick math-personality quiz: What is seven-and-one-fourth minus three-fourths, expressed as a mixed number (a whole number plus a proper fraction)? What matters isn’t what answer you get but how yo…
数学及其应用
https://en.m.wikipedia.org/wiki/Chernoff_face
Wikipedia
Chernoff face
human-face shaped display of data
数学及其应用
https://www.quantamagazine.org/mathematicians-marvel-at-crazy-cuts-through-four-dimensions-20240422/
Quanta Magazine
Mathematicians Marvel at ‘Crazy’ Cuts Through Four Dimensions
Topologists prove two new results that bring some order to the confoundingly difficult study of four-dimensional shapes.
数学及其应用
https://leanprover-community.github.io/blog/posts/FLT-announcement/
Lean community blog
The Fermat's Last Theorem Project | Lean community blog
Kevin Buzzard discusses the project to prove Fermat's Last Theorem in Lean.
Introduction
Fermat's Last Theorem (FLT) is the claim that some abstract equation has no solutions in positive integers.
Th
数学及其应用
https://youtu.be/8VipIKLg6-k
YouTube
James Simons - Origin of Chern-Simons
Name: James Simons
Title: Origin of Chern-Simons
Date: 2011-07-28 @ 10:00 AM
For more videos from the Simons Center for Geometry and Physics, please visit http://scgp.stonybrook.edu/video
数学及其应用
Complex Analysis
A Visual and Interactive Introduction
https://complex-analysis.com/
Complex Analysis
An online interactive introduction to the study of complex analysis.
数学及其应用
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