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A visual introduction to differential geometry and Maxwell's equations through pictures

This article presents a pictorial introduction to differential geometry, aimed at making the mathematical foundation accessible to pre-university students while also aiding undergraduate and master's students learning general relativity. The content covers differential geometry c

Insighteducationsciencemathematics

arxiv.org·Hacker News: Front Page·20h ago·3 min read

Mathematical Model Identifies the Optimal Threshold for Human Ambition

Newseducationsciencemathematics

Shared by @blue-labs.org on Bluesky ↗

neurosciencenews.com20h ago

AI Solves 80-Year-Old Erdős Math Problem in Combinatorial Geometry

Newstechnologyscienceartificial intelligence

Shared by @billspaced.com on Bluesky ↗

wsj.com1d ago

OpenAI's AI model solves 80-year-old Erdős math problem, verified by mathematicians

Newstechnologyscienceartificial intelligence

Shared by @pelicanmerchant.bsky.social on Bluesky ↗

livescience.com1d ago

OpenAI yapay zeka modeli, 80 yıllık çözülememiş matematik problemi "birim uzaklık problemi"ni otonom olarak çözdü

Newstechnologyscienceartificial intelligence

Shared by @gazeteoksijen.com on Bluesky ↗

gazeteoksijen.com1d ago

Mathematicians Use Gödel's Incompleteness Theorems to Develop New Cryptographic Tool

Newstechnologysciencemathematics

Shared by @americanmensa.bsky.social on Bluesky ↗

ow.ly2d ago

Exploring the mathematical complexity of extended rock-paper-scissors games

Insightsciencemathematicsgaming

theshamblog.com2d ago

AI start-ups aggressively recruit mathematicians to advance artificial intelligence research

The article reports on a growing trend of mathematicians leaving academia to join AI start-ups, including both major companies like OpenAI and Google and newly formed ventures. These companies are investing heavily in mathematics as a key to improving artificial intelligence, wit

Newstechnologysciencemathematics

newscientist.com·Tech by Flipboard·1d ago·8 min read

Curated Links on AI in Mathematics and Physics

A blog post sharing links and resources about AI applications in mathematics and physics, with the author openly admitting they lack deep expertise on the topic. The post primarily serves as a pointer to a "Future of Mathematics" event at Stanford and invites knowledgeable reader

Opiniontechnologysciencemathematicsmath.columbia.edu·Tech by Flipboard·3d ago·4 min read

Weak and Block-Equitable Colourings in Uniform Group Divisible Designs and Maximum Packings

This article presents a mathematical study of colourings in uniform group divisible designs and maximum packings. It defines weak c-colourings (assigning colours to points so no block is monochromatic) and block-equitable colourings (where each block has a balanced distribution o

Insighteducationsciencemathematics

doi.org·Science·4d ago·188 min read

OpenAI's AI model finds counterexample to Erdős' 80-year-old planar unit distance conjecture

Newstechnologyscienceartificial intelligence

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theconversation.com5d ago

Alexander Grothendieck: The Mathematician Who Reshaped 20th-Century Mathematics

Insightbookssciencemathematics

quantamagazine.org7d ago

VC Dimension and the Fundamental Theorem of Statistical Learning: A Complete Mathematical Derivation

This article explains the theoretical foundations of statistical learning theory, specifically addressing when learning from data is guaranteed to work. It builds from first principles—starting with Markov's inequality and Hoeffding's lemma—to prove the Fundamental Theorem of Statistical Learning, which states that a hypothesis class is learnable if and only

Insighteducationsciencemathematics

prateekchandrajha.github.io8d ago

OpenAI model solves 80-year-old unit distance problem, disproving major geometry conjecture

Newstechnologyscienceartificial intelligence

openai.com3d ago

A Good Lemma is Worth a Thousand Theorems: Doron Zeilberger on Mathematical Impact

Doron Zeilberger's 82nd opinion piece argues that good lemmas are more valuable than theorems, using Szemerédi's Regularity Lemma as his prime example. He contends that while theorems are often dead ends, a powerful lemma can lead to multiple major discoveries (like Fields medals) and has far greater lasting impact in mathematics.

Opinioneducationsciencemathematics

sites.math.rutgers.edu15d ago

Think Linear Algebra: A Code-First, Case-Based Introduction to Linear Algebra with Python

Think Linear Algebra is a code-first, case-based educational book that teaches linear algebra through real-world problems and Python programming. Rather than focusing on abstract theory, each chapter tackles practical challenges such as modeling web traffic, simulating flocking birds, or analyzing electrical circuits. Readers use Python libraries like NumPy,

Revieweducationmathematicsprogramming

allendowney.github.io21d ago

Deriving the Sparse Cholesky Elimination Tree for Matrix Factorization

This article provides a technical derivation of the elimination tree for the right-looking sparse Cholesky algorithm (A = LL^T) for sparse matrices. The author explains how this tree serves as the foundation for most sparse factorization software, revealing two key insights: wher

Insightsciencemathematicsprogrammingreidatcheson.com·Hacker News: Front Page·21d ago·6 min read

The Birthday Paradox and Hash Collisions: Understanding Probability in Cryptography

This article explores the birthday paradox (birthday problem) in probability theory and connects it to hash collisions in cryptography. It explains how with just 23 people in a room, there's a 50% chance of a shared birthday, and extends this mathematical principle to explain why hash functions can have collisions, why encryption systems have vulnerabilities

Insighttechnologysciencemathematics

Math behind Security23d ago

johndcook.com29

MathOverflow1

Machine Logic2

abuseofnotation.github.io2

mathandmovement.com1

A visual introduction to differential geometry and Maxwell's equations through pictures

Mathematical Model Identifies the Optimal Threshold for Human Ambition

AI Solves 80-Year-Old Erdős Math Problem in Combinatorial Geometry

OpenAI's AI model solves 80-year-old Erdős math problem, verified by mathematicians

OpenAI yapay zeka modeli, 80 yıllık çözülememiş matematik problemi "birim uzaklık problemi"ni otonom olarak çözdü

Mathematicians Use Gödel's Incompleteness Theorems to Develop New Cryptographic Tool

Exploring the mathematical complexity of extended rock-paper-scissors games

AI start-ups aggressively recruit mathematicians to advance artificial intelligence research

Curated Links on AI in Mathematics and Physics

Weak and Block-Equitable Colourings in Uniform Group Divisible Designs and Maximum Packings

OpenAI's AI model finds counterexample to Erdős' 80-year-old planar unit distance conjecture

Alexander Grothendieck: The Mathematician Who Reshaped 20th-Century Mathematics

VC Dimension and the Fundamental Theorem of Statistical Learning: A Complete Mathematical Derivation

OpenAI model solves 80-year-old unit distance problem, disproving major geometry conjecture

A Good Lemma is Worth a Thousand Theorems: Doron Zeilberger on Mathematical Impact

Think Linear Algebra: A Code-First, Case-Based Introduction to Linear Algebra with Python

Deriving the Sparse Cholesky Elimination Tree for Matrix Factorization

The Birthday Paradox and Hash Collisions: Understanding Probability in Cryptography