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Behind Kamathipura's Closed Doors

On the rickshaw, in the evening rush hour. An elderly driver, hands on the steering wheel, khaki shirt, marking his station. His neck hesitantly swivels, as if to say something: they have arrived at their destination. An alien territory in the white-washed city. Coquettish beckonings are lined up on fractured doors as street lamps in the narrow alleys. Collapsing buildings constrict ventilation and light. A landlord’s greed is made manifest: two-storeyed houses buried beneath off-balanced extens

US High school students' scores fall in reading and math

WASHINGTON (AP) — A decade-long slide in high schoolers’ reading and math performance persisted during the COVID-19 pandemic, with 12th graders’ scores dropping to their lowest level in more than 20 years, according to results released Tuesday from an exam known as the nation’s report card. Eighth-grade students also lost significant ground in science skills, according to the results from the National Assessment of Education Progress. The assessments were the first since the pandemic for eight

US HS students lose ground in math and reading, continuing yearslong decline

WASHINGTON (AP) — A decade-long slide in high schoolers’ reading and math performance persisted during the COVID-19 pandemic, with 12th graders’ scores dropping to their lowest level in more than 20 years, according to results released Tuesday from an exam known as the nation’s report card. Eighth-grade students also lost significant ground in science skills, according to the results from the National Assessment of Education Progress. The assessments were the first since the pandemic for eight

New knot theory discovery overturns long-held mathematical assumption

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to understanding mathematical knots, which one can obtain from any traditional knot by gluing the loose ends together. Mathematicians long believed that if you attach cut ends of two different knots to each other, the new knot will be just as complex as the sum of the individual knots’ complexity. But

New Knot Theory Discovery Overturns Long-Held Mathematical Assumption

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to understanding mathematical knots, which one can obtain from any traditional knot by gluing the loose ends together. Mathematicians long believed that if you attach cut ends of two different knots to each other, the new knot will be just as complex as the sum of the individual knots’ complexity. But

The Little Book of Linear Algebra

The Little Book of Linear Algebra A concise, beginner-friendly introduction to the core ideas of linear algebra. Formats Chapter 1. Vectors 1.1 Scalars and Vectors A scalar is a single numerical quantity, most often taken from the real numbers, denoted by $\mathbb{R}$ . Scalars are the fundamental building blocks of arithmetic: they can be added, subtracted, multiplied, and, except in the case of zero, divided. In linear algebra, scalars play the role of coefficients, scaling factors, and e

The Grammar According to West

The Grammar According to West by Douglas B. West Summary I have been accumulating observations about writing mathematics for many years. These conclusions arose both from writing textbooks and from noting writing errors commonly made by my thesis students and in papers submitted to journals. My first objective was to train my students, thereby reducing the time needed to edit their theses. As the document grew, I made it publicly available in the hope that others may find it useful. I have r

I'm working on implementing a programming language all my own

To the surprise of literally no one, I'm working on implementing a programming language all my own Inspired by conversation at a recent Future of Coding event, I decided I’d write up a little something about the programming language I’ve been working on (for what feels like forever) before I’ve gotten it to a totally shareable state. I have a working interpreter that I’m pretty pleased with, but I don’t yet have an interactive environment for creating, exploring, debugging, and running code — I

MathGPT.ai, the ‘cheat-proof’ tutor and teaching assistant, expands to over 50 institutions

As AI becomes more prevalent in the classroom — where students use it to complete assignments and teachers are uncertain about how to address it — an AI platform called MathGPT.ai launched last year with the goal of providing an “anti-cheating” tutor to college students and a teaching assistant to professors. Following a successful pilot program at 30 colleges and universities in the U.S., MathGPT.ai is preparing to nearly double its availability this fall, with hundreds of instructors planning

MathGPT.AI, the ‘cheat-proof’ tutor and teaching assistant, expands to over 50 institutions

As AI becomes more prevalent in the classroom—where students use it to complete assignments and teachers are uncertain about how to address it—an AI platform called MathGPT.AI launched last year with the goal of providing an “anti-cheating” tutor to college students and a teaching assistant to professors. Following a successful pilot program at 30 colleges and universities in the U.S., MathGPT.AI is preparing to nearly double its availability this fall, with hundreds of instructors planning to

MATLAB dev says ransomware gang stole data of 10,000 people

MathWorks, a leading developer of mathematical simulation and computing software, revealed that a ransomware gang stole the data of over 10,000 people after breaching its network in April. The company disclosed the attack on May 27, when it linked ongoing service outages to a ransomware incident that disrupted access to some internal systems and online applications for its staff and customers. Impacted services included multi-factor authentication (MFA), account SSO (Single Sign-On), the MathW

Taco Bell’s AI drive-thru plan gets caught up on trolls and glitches

is a news writer who covers the streaming wars, consumer tech, crypto, social media, and much more. Previously, she was a writer and editor at MUO. Posts from this author will be added to your daily email digest and your homepage feed. Taco Bell’s plan to outfit hundreds of drive-thrus with an AI voice assistant isn’t going exactly as the chain expected. Dane Mathews, Taco Bell’s chief digital and technology officer, admitted to The Wall Street Journal that the company is re-evaluating where t

A short introduction to optimal transport and Wasserstein distance (2020)

A Short Introduction to Optimal Transport and Wasserstein Distance These notes provide a brief introduction to optimal transport theory, prioritizing intuition over mathematical rigor. A more rigorous presentation would require some additional background in measure theory. Other good introductory resources for optimal transport theory include: Why Optimal Transport Theory? A fundamental problem in statistics and machine learning is to come up with useful measures of “distance” between pairs o

Show HN: I built a toy TPU that can do inference and training on the XOR problem

Nobody really understands how TPUs work…and neither do we! So we wanted to make this because we wanted to take a shot and try to guess how it works–from the perspective of complete novices! We wanted to do something very challenging to prove to ourselves that we can do anything we put our mind to. The reasoning for why we chose to build a TPU specifically is fairly simple: None of us have real professional experience in hardware design, which, in a way, made the TPU even more appealing since w

500 days of math

I recently crossed 500 days of practicing math daily with Math Academy. I wrote about my experience after 100 days here. TL;DR: I am still very impressed by the Math Academy system and highly recommend it, but you get out of it what you put in. My consistency has been exceptional, but my volume has been frequently low, which has had a cascading impact on my progress. To help, I spent January and February building a habit app to help improve my volume along with some other changes in how I handl

500 Days of Math

I recently crossed 500 days of practicing math daily with Math Academy. I wrote about my experience after 100 days here. TL;DR: I am still very impressed by the Math Academy system and highly recommend it, but you get out of it what you put in. My consistency has been exceptional, but my volume has been frequently low, which has had a cascading impact on my progress. To help, I spent January and February building a habit app to help improve my volume along with some other changes in how I handl

This New Pyramid-Like Shape Always Lands With the Same Side Up

The original version of this story appeared in Quanta Magazine. In 360 BC, Plato envisioned the cosmos as an arrangement of five geometric shapes: flat-sided solids called polyhedra. These immediately became important objects of mathematical study. So it might be surprising that, millennia later, mysteries still surround even the simplest shape in Plato’s polyhedral universe: the tetrahedron, which has just four triangular faces. One major open problem, for instance, asks how densely you can p

Monte Carlo Crash Course: Quasi-Monte Carlo

Monte Carlo Crash Course Quasi-Monte Carlo We’ve learned how to define and apply Monte Carlo integration—fundamentally, it’s the only tool we need. In the remaining chapters, we’ll explore ways to reduce variance and successfully sample difficult distributions. Variance & Correlation In chapter two, we determined that the variance of a Monte Carlo estimator is inversely proportional to its sample count. Empirically, we confirmed that our integrators’ expected error scaled with $$\frac{1}{\sq

Mathematicians Startled by 17-Year-Old With Uncanny Abilities

A brilliant teen who honed her skills during the COVID-19 pandemic has solved one of math's most mysterious problems — and in doing so, become a rising star. As Quanta magazine reports, fledgling mathematician Hannah Cairo was just 17 when she disproved the Mizohata-Takeuchi conjecture, a decades-old proposition — in higher math, it's common for the suggestion that something is true based on observations to become a target for challenging formalized counter-proofs — dealing with waves on surfac

A glimpse into OpenAI’s largest ambitions

As Will points out, there were two recent wins for OpenAI in its efforts to build AI that outcompetes humans. Its models took second place at a top-level coding competition and—alongside those from Google DeepMind—achieved gold-medal-level results in the 2025 International Math Olympiad. People who believe that AI doesn’t pose genuine competition to human-level intelligence might actually take some comfort in that. AI is good at the mathematical and analytical, which are on full display in olym

Show HN: Mathpad – Physical keypad for typing math symbols

Back this project to help bring it into existence. Funding ends on Sep 11, 2025 at 04:59 PM PDT. Mathpad is a specialized keypad that makes typing mathematical equations as simple as typing regular text. With over 100 mathematical symbols at your fingertips, this compact and powerful device eliminates the frustration and inefficiency of typing math on a computer. What if Mathematical Symbols Were as Easy to Type as Regular Letters? After 3 years of development, Mathpad finally makes this drea

Show HN: Mathpad – Physical keypad for typing 100+ math symbols anywhere

Back this project to help bring it into existence. Funding ends on Sep 11, 2025 at 04:59 PM PDT. Mathpad is a specialized keypad that makes typing mathematical equations as simple as typing regular text. With over 100 mathematical symbols at your fingertips, this compact and powerful device eliminates the frustration and inefficiency of typing math on a computer. What if Mathematical Symbols Were as Easy to Type as Regular Letters? After 3 years of development, Mathpad finally makes this drea

The Ski Rental Problem

Ski Rental Problem The ski rental problem is a classic example problem in online algorithms. It feels like a small but interesting problem that can be explained relatively easily while some clever tricks can be applied to it. In this article, I took these lecture notes by Debmalya Panigrahi and Hangjie Ji and tried to rewrite them in a way that is easier to understand (at least for me). Formulation You are going skiing in the mountains but you are unsure about the weather reports and don't k

Efforts to Ground Physics in Math Are Opening the Secrets of Time

Now, three mathematicians have finally provided such a result. Their work not only represents a major advance in Hilbert’s program, but also taps into questions about the irreversible nature of time. “It’s a beautiful work,” said Gregory Falkovich, a physicist at the Weizmann Institute of Science. “A tour de force.” Under the Mesoscope Consider a gas whose particles are very spread out. There are many ways a physicist might model it. At a microscopic level, the gas is composed of individual

Harmonic, the Robinhood CEO’s AI math startup, launches an AI chatbot app

Harmonic, an AI startup co-founded by Robinhood CEO Vlad Tenev, announced Monday the beta launch of an iOS and Android chatbot app where users can access its AI model, Aristotle. With this launch, the company aims to broaden access to Aristotle, which Harmonic claims to offer “hallucination-free” answers for questions involving mathematical reasoning — a bold claim given the reliability problems of today’s AI models. Harmonic is focused on creating “mathematical superintelligence” or MSI; the s

A ‘Grand Unified Theory’ of Math Just Got a Little Bit Closer

“We mostly believe that all the conjectures are true, but it’s so exciting to see it actually realized,” said Ana Caraiani, a mathematician at Imperial College London. “And in a case that you really thought was going to be out of reach.” It’s just the beginning of a hunt that will take years—mathematicians ultimately want to show modularity for every abelian surface. But the result can already help answer many open questions, just as proving modularity for elliptic curves opened up all sorts of

1KB JavaScript Numbers Station

Code Golf is the art/science of creating wonderful little demos in an artificially constrained environment. This year the js1024 competition was looking for entries with the theme of "Creepy". I am not a serious bit-twiddler. I can't create JS shaders which produce intricate 3D worlds in a scrap of code. But I can use slightly obscure JavaScript APIs! There's something deliciously creepy about Numbers Stations - the weird radio frequencies which broadcast seemingly random numbers and words. Ar

Google DeepMind makes AI history with gold medal win at world’s toughest math competition

Want smarter insights in your inbox? Sign up for our weekly newsletters to get only what matters to enterprise AI, data, and security leaders. Subscribe Now Google DeepMind announced Monday that an advanced version of its Gemini artificial intelligence model has officially achieved gold medal-level performance at the International Mathematical Olympiad, solving five of six exceptionally difficult problems and earning recognition as the first AI system to receive official gold-level grading from

Gemini with Deep Think achieves gold-medal standard at the IMO

The International Mathematical Olympiad (“IMO”) is the world’s most prestigious competition for young mathematicians, and has been held annually since 1959. Each country taking part is represented by six elite, pre-university mathematicians who compete to solve six exceptionally difficult problems in algebra, combinatorics, geometry, and number theory. Medals are awarded to the top half of contestants, with approximately 8% receiving a prestigious gold medal. Recently, the IMO has also become a