Published on: 2025-04-20 05:55:50
In 1934, David Hilbert, by then a grand old man of German mathematics, was dining with Bernhard Rust, the Nazi minister of education. Rust asked, “How is mathematics at Göttingen, now that it is free from the Jewish influence?” Hilbert replied, “There is no mathematics in Göttingen anymore.” “There is no mathematics in Göttingen anymore”: the German math giant David Hilbert. Visual: Shelby White and Leon Levy Archives Center, Institute for Advanced Study, Princeton, NJ, USA. Or so the story go
Keywords: göttingen institute mathematicians mathematics says
Find related items on AmazonPublished on: 2025-04-17 05:02:39
Procedural Textures with Hash Functions and Hash Playground I'm the sort of person who gets very excited when simple rules create complex behaviour. The other day, I needed a simple hash function that maps $(x, y)$ coordinates to a colour, and found a straightforward equation that ended up being astoundingly rich. Hence this post; to talk about and play with this function. TL;DR: The boolean predicate $(c_x \, x + c_y \, y + c_{xy} \, x \, y + c_{x^2} \, x^2 + c_{y^2} \, y^2)$ $\mathrm{mod} \
Keywords: c_ hash mathrm mod pattern
Find related items on AmazonPublished on: 2025-04-23 05:30:47
Differentiable Programming from Scratch Differentiable programming has become a hot research topic, and not only due to the popularity of machine learning frameworks like TensorFlow, PyTorch, and JAX. Many fields apart from machine learning are finding differentiable programming to be a useful tool for solving optimization problems. In computer graphics, differentiable rendering, differentiable physics, and neural representations are all gaining popularity. This article received an honorable m
Keywords: frac mathbf node partial prime
Find related items on AmazonPublished on: 2025-04-25 19:01:41
Let's remove Quaternions from every 3D Engine (An Interactive Introduction to Rotors from Geometric Algebra) The clearest explanation of 3D geometric algebra within 15 minutes that I've seen so far —BrokenSymmetry I am sold. While I can understand quaternions to an extent, this way of thinking is a much more intuitive and elegant approach. —Jack Rasksilver This sets a high standard for educational material, and is a shining example of how we can improve education with today's technologies. —Se
Keywords: mathbf product vector vectors wedge
Find related items on AmazonPublished on: 2025-04-28 23:54:51
Monte Carlo Crash Course Sampling In the previous chapter, we assumed that we can uniformly randomly sample our domain. However, it’s not obvious how to actually do so—in fact, how can a deterministic computer even generate random numbers? Pseudo-Random Numbers Fortunately, Monte Carlo methods don’t need truly random numbers. Instead, we can use a pseudo-random number generator (PRNG). A PRNG produces a deterministic stream of numbers that look uniformly random: By “look uniformly random,”
Keywords: f_ frac mathbf mathcal omega
Find related items on AmazonPublished on: 2025-04-30 06:42:16
✊ Unleashing the Power of Reinforcement Learning for Math and Code Reasoners 🤖 🔥 News April 13, 2025 : We release the Skywork-OR1 (Open Reasoner 1) series of models, including Skywork-OR1-Math-7B , Skywork-OR1-32B-Preview , and Skywork-OR1-7B-Preview . We open-source 🤗 Model weights: Skywork-OR1-Math-7B , Skywork-OR1-32B-Preview , Skywork-OR1-7B-Preview 🤗 Training data: Skywork-OR1-RL-Data (Coming Soon) 🧑💻 Code: Skywork-OR1 We also release a Notion Blog to share detailed training recipes and
Keywords: 7b livecodebench math or1 skywork
Find related items on AmazonPublished on: 2025-04-26 23:17:08
A blog about math (mainly), computer tricks (sometimes) and jazz music.
Keywords: blog computer jazz mainly math
Find related items on AmazonPublished on: 2025-05-02 13:47:00
A majority (56%) of high school students say that AI helps reduce the anxiety they feel about studying math. That statistic comes from to a March survey of 1,500 11th and 12th graders in the US and sixth-year students in the UK and Wales that was conducted by the Society for Industrial and Applied Mathematics. Most of the students surveyed (61%) said AI gives them instant help, feedback and clarification. The results point to anxiety in math education around learning in a nonjudgmental setting,
Keywords: ai math said students teachers
Find related items on AmazonPublished on: 2025-05-03 23:20:26
The world’s largest particle collider is set to get a brand new toy, named for the oldest guy in the Bible. The toy–a detector, actually—is called MATHUSLA. Researchers submitted a conceptual design report for the detector’s design to the preprint server arXiv on March 26, where it’s now hosted. “MATHUSLA” is a merciful and incredibly forced acronym for the MAssive Timing Hodoscope for Ultra-Stable neutraL pArticles. The acronym is a reference to Methuselah, a biblical figure who lived nearly
Keywords: collider detector lhc mathusla physicists
Find related items on AmazonPublished on: 2025-05-04 02:15:00
A majority (56%) of high school students say that AI helps reduce the anxiety they feel about studying math. That statistic comes from to a March survey of 1,500 11th and 12th graders in the US and sixth-year students in the UK and Wales that was conducted by the Society for Industrial and Applied Mathematics. Most of the students surveyed (61%) said that AI gives them instant help, feedback and clarification. The results point to anxiety in math education around learning in a nonjudgmental set
Keywords: ai anxiety math results students
Find related items on AmazonPublished on: 2025-05-04 07:15:58
A majority (56%) of high school students say that AI helps reduce the anxiety they feel about studying math. That's according to a March survey of 1,500 11th and 12th graders in the US and sixth-year students in the UK and Wales conducted by the Society for Industrial and Applied Mathematics. Most of the students surveyed (61%) said that AI gives them instant help, feedback and clarification. The results point to anxiety in math education around learning in a nonjudgmental setting (such not hav
Keywords: ai anxiety math results students
Find related items on AmazonPublished on: 2025-05-25 01:37:46
When I was on the Google Docs team, we did a weekly bug triage where we’d look for new issues and randomly assign them to teammates to investigate. One week, we had a new top error by a wide margin. It was a fatal error. This means that it prevented the user from editing without reloading. It didn’t correspond to a Google Docs release. The stack trace added very little information. There wasn’t an associated spike in user complaints, so we weren’t even sure it was really happening — but if it w
Keywords: abs bug math negative view
Find related items on AmazonPublished on: 2025-05-29 01:49:56
This page has been: Tagged As Education Tagged As Maths Recently on one of my "social network feeds" I saw a post saying: X% of Y equals Y% of X. There were already several comments with people expressing various reactions, so I idly commented as follows: 1% of 100 is 1, by definition. So 2% of 100 is 2, 3% of 100 is 3, and 4% of 100 is 4. Halve things, so we have 4% of 50 is 2. The general formula can be derived, that X% of Y is (X*Y)/100. But that's equal to (Y*X)/100, which is Y% of X, and t
Keywords: just maths people things time
Find related items on AmazonPublished on: 2025-05-31 17:26:05
authored by Premmi and Beguène Previous Topic: An Axiomatic Study of Numbers Introduction Thinking of numbers intuitively brings to mind the simplest and most fundamental set of numbers, namely the set of natural numbers. These numbers are used to count objects like cars, books, pens, etc. If we associate natural numbers such as 1, 2, 3, etc. with counting, then with what corresponding concepts do we relate numbers like -4, \sqrt{3} \text{ and } \frac{22}{7}? To reason about all kinds of num
Keywords: axioms mathbb natural numbers set
Find related items on AmazonPublished on: 2025-06-01 18:26:05
authored by Premmi and Beguène Previous Topic: An Axiomatic Study of Numbers Introduction Thinking of numbers intuitively brings to mind the simplest and most fundamental set of numbers, namely the set of natural numbers. These numbers are used to count objects like cars, books, pens, etc. If we associate natural numbers such as 1, 2, 3, etc. with counting, then with what corresponding concepts do we relate numbers like -4, \sqrt{3} \text{ and } \frac{22}{7}? To reason about all kinds of num
Keywords: axioms mathbb natural numbers set
Find related items on AmazonPublished on: 2025-06-02 22:00:00
The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again. Whenever she tried t
Keywords: conjecture mathematicians mckay problem späth
Find related items on AmazonPublished on: 2025-06-02 21:35:12
Updates 21/03/2025: 🎉 We release our paper, models and codebase. Our R1-Zero training is implemented with 🌾 Oat, a highly modular, research-friendly and efficient LLM RL framework. Links Understanding R1-Zero-Like Training 📄 Paper 🤗 Models There May Not Be Aha Moment in R1-Zero-like Training — A Pilot Study 📄 Blog 💻 Code OAT: A research-friendly framework for LLM online alignment 💻 Codebase To understand R1-Zero-like training, we critically examine two core components: base models and re
Keywords: math python r1 training zero
Find related items on AmazonPublished on: 2025-06-14 01:39:31
A hypernetwork estimates parameters $\{\mathbf{b}_1, \mathbf{W}_2\}^{(i,j)}$ of pixel-wise, local neural heat fields. The phase shifts $\mathbf{b}_1$ operate on globally learned components, before thermal activations scale each component depending on their frequency and the desired scaling factor. The components are then linearly combined using coefficients $\mathbf{W}_2$, resulting in an appropriately-blurred, continuous local neural field. This field is then rasterized at the appropriate sampl
Keywords: _1 components mathbf neural resolution
Find related items on AmazonPublished on: 2025-06-16 22:07:35
By Ralph Furman. HackerNews Discussion This January, I attended the Joint Mathematics Meeting (JMM), themed "We Decide Our Future: Mathematics in the Age of AI." It was a veritable buffet of talks and connections, and I found myself rushing across the convention hall to go between sessions in fields I'm close to (eg: modular forms), new areas I was delighted to dig into (eg: knowledge graphs), and the many talks on AI for math. Jointly organized by the American Mathematical Society (AMS) and t
Keywords: ai mathematical mathematicians mathematics research
Find related items on AmazonPublished on: 2025-06-20 19:42:24
Here you can find the “snapshots of modern mathematics from Oberwolfach”. Snapshots are short texts on aspects of modern mathematics written by researchers visiting the Mathematisches Forschungsinstitut Oberwolfach. They are edited for accessibility and understandability by a team of editors. We recommend advanced High School mathematics as prerequisite for reading a snapshot. The snapshot project is designed to promote the understanding and appreciation of modern mathematics and mathematical r
Keywords: mathematics modern oberwolfach project snapshots
Find related items on AmazonPublished on: 2025-06-28 08:27:07
How Math Academy pulled me out of the Valley of Despair 28 Feb, 2025 When it comes to learning a new skill such as how to drive a car, playing a sport, or an academic discipline, there is a unique relationship between a person’s confidence and their level of competence at different points of the journey. A popular depiction of this relationship is the Dunning-Kruger effect. The Dunning-Kruger effect is the cognitive bias that leads you or me to overestimate our abilities too early on the lear
Keywords: learning math school stage time
Find related items on AmazonPublished on: 2025-07-01 16:35:10
Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More A team of researchers has introduced Light-R1-32B, a new open-source AI model optimized for solving advanced math problems, making it available on Hugging Face under a permissive Apache 2.0 license — free for enterprises and researchers to take, deploy, fine-tune or modify as they wish, even for commercial purposes. The 32-billion parameter (number of model settings) m
Keywords: 32b math model r1 training
Find related items on AmazonPublished on: 2025-07-11 22:34:34
An amateur’s outlook on computation and mathematics
Keywords: amateur computation mathematics outlook
Find related items on AmazonPublished on: 2025-07-09 00:20:40
MathB.in Is Shutting Down By Susam Pal on 23 Feb 2025 Thirteen years ago, on a quiet Saturday night, I sat down and began developing MathB.in. After coding all through the night, as the sun rose on Sunday, 25 March 2012, the website was ready. I registered a new domain name and shared it with a few friends who loved mathematics. Back then, we spent hours discussing fascinating mathematics problems, and this website became a simple way for us to share snippets with each other. Word spread quick
Keywords: content mathb project server service
Find related items on AmazonPublished on: 2025-07-10 10:24:49
Practical Foundations of Mathematics Paul Taylor Practical Foundations of Mathematics Practical Foundations of Mathematics I NTRODUCTION I F IRST O RDER R EASONING II T YPES AND I NDUCTION III P OSETS AND L ATTICES IV C ARTESIAN C LOSED C ATEGORIES V L IMITS AND C OLIMITS VI S TRUCTURAL R ECURSION VII A DJUNCTIONS VIII A LGEBRA WITH D EPENDENT T YPES IX T HE Q UANTIFIERS B IBLIOGRAPHY
Keywords: djunctions foundations mathematics practical ypes
Find related items on AmazonPublished on: 2025-07-12 18:41:23
@ Conference on Robot Learning (CoRL) 2023 @inproceedings{robopianist2023, author = {Zakka, Kevin and Wu, Philipp and Smith, Laura and Gileadi, Nimrod and Howell, Taylor and Peng, Xue Bin and Singh, Sumeet and Tassa, Yuval and Florence, Pete and Zeng, Andy and Abbeel, Pieter}, title = {RoboPianist: Dexterous Piano Playing with Deep Reinforcement Learning}, booktitle = {Conference on Robot Learning (CoRL)}, year = {2023}, } TLDR We train anthropomorphic robot hands to play the piano using deep
Keywords: agent fingering mathcal piano reward
Find related items on AmazonPublished on: 2025-07-15 02:09:25
In a previous blog post, we talked about canvas fingerprinting, a technique commonly used to detect fraudsters and bots. In this post we'll go deeper on how fraudsters can forge or create fake canvas fingerprints to stay under the radar for typical device fingerprinting techniques. Plus cover some techniques for detecting this. Quick reminder: a canvas fingerprint is a JavaScript challenge that leverages the HTML canvas API to draw different shapes and text. The images drawn are completely inv
Keywords: canvas data function math todataurl
Find related items on AmazonPublished on: 2025-07-13 12:00:00
The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky foundation. Its core concepts were rooted in intuition and informal arguments, rather than precise, formal definitions. Two schools of thought emerged in response, according to Michael Barany, a historian of math and science at the University of Edinburgh. French mathematicians were by and large content
Keywords: calculus function math mathematicians weierstrass
Find related items on AmazonPublished on: 2025-07-11 18:09:56
After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.
Keywords: conjecture group groups mathematicians mckay
Find related items on AmazonPublished on: 2025-07-12 04:09:56
After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.
Keywords: conjecture group groups mathematicians mckay
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