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Top posts
Every blog post that took off on Hacker News, ranked by the votes of its best submission. 460 posts.
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The centrality of stupidity in mathematics
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Learning more about Claude's mathematical capabilities
An unreleased Claude model improved the lower bound for the fraction of zeroes of the Riemann zeta function that satisfy the hypothesis, raising it from 41.6% to 67.2%.
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Dust: Pretraining Transformers Without Backpropagation
Deep learning has been built around backprop, the only credit assignment algorithm capable of training modern neural nets, including transformer-based language models. Backprop requires differentiability and produces first-order gradients, and deep learning’s architectures, optimizers, and hardware have co-evolved…
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How Japanese Kids Learn To Multiply
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Calculating the mean of a list of numbers (2016)
You have a list of floating point numbers. No nasty tricks - these aren't NaN or Infinity, just normal "simple" floating point numbers.
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A puzzle that tiles infinitely across both sides, based on the Klein Bottle
Have you ever done a puzzle that has no beginning or end? Where you don’t know up from down? Get lost in the infinite galaxy puzzle. The infinity puzzles™ are a new type of jigsaw puzzle insp…
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Swift Algorithms
I’m excited to announce Swift Algorithms, a new open-source package of sequence and collection algorithms, along with their related types.
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Perceptually uniform color spaces
Programming Design Systems is a free digital book that teaches a practical introduction to the new foundations of graphic design.
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A Curious Integral
Note: These pages make extensive use of the latest XHTML and CSS Standards . They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in…
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Learning a hierarchy
Stay up to speed on the rapid advancement of AI technology and the benefits it offers to humanity.
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A Global Optimization Algorithm Worth Using
Here is a common problem: you have some machine learning algorithm you want to use but it has these damn hyperparameters . These are number...
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Scientists observe Einstein's gravity in the quantum world
An international team including Oxford physicists has observed a long-predicted effect of gravity on a falling quantum object for the first time. The study provides an experimental connection between quantum physics and Einstein's theory of gravity.
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Bijou64: A variable-length integer encoding
An accidentally fast variable-length integer encoding
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Tog's Paradox
Tog’s Paradox (also known as The Complexity Paradox or Tog’s ComplexityParadox) is an observation that products aiming to simplify a task for users tend toinspire new, more complex tasks. It’s one ...
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A practical introduction to constraint programming using CP-SAT and Python
We discuss constraint programming, an approach to solve discrete optimization problems, and illustrate how it works with a scheduling code example implemented in Python with the CP-SAT solver.
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Direct Coupling of the Higgs Boson to the Top Quark Observed
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Simons Foundation launches $15M effort to help mathematicians navigate AI era
The Simons Foundation today announced a new set of initiatives that will help the mathematics community navigate the rapid rise of artificial intelligence in the field. Under a partnership…
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Nassim Taleb: We should retire the notion of standard deviation
The notion of standard deviation has confused hordes of scientists; it is time to retire it from common use and replace it with the more effective one of mean deviation. Standard deviation, STD, should be left to mathematicians, physicists and mathematical statisticians deriving limit theorems. There is no scientific…
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A 9-line summary of textbook physics
All their wonders in one table