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37 results tagged math  ✕
The Hardest Mandelbrot Zoom in 2017 - New record, 750 000 000 iterations! https://youtu.be/aSg2Db3jF_4
Tue 18 Aug 2020 10:54:48 PM CEST
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graphics math video
The matrix calculus you need for deep learning https://explained.ai/matrix-calculus/
Mon 17 Aug 2020 01:07:16 PM CEST
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Most of us last saw calculus in school, but derivatives are a critical part of machine learning, particularly deep neural networks, which are trained by optimizing a loss function. This article is an attempt to explain all the matrix calculus you need in order to understand the training of deep neural networks. We assume no math knowledge beyond what you learned in calculus 1, and provide links to help you refresh the necessary math where needed.

article deep_learning math tutorial
‘Amazing’ Math Bridge Extended Beyond Fermat’s Last Theorem https://www.quantamagazine.org/amazing-math-bridge-extended-beyond-fermats-last-theorem-20200406/
Wed 15 Apr 2020 05:56:37 PM CEST
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article math
Terry Tao partial results on Collatz conjecture https://www.johndcook.com/blog/2019/09/10/progress-on-the-collatz-conjecture/
Tue 07 Apr 2020 09:26:53 AM CEST
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article math
PandaPy - The speed of NumPy and the usability of Pandas https://github.com/firmai/pandapy
Sat 25 Jan 2020 01:44:30 PM CET
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PandaPy has the speed of NumPy and the usability of Pandas (10x to 50x faster).

coding_lang:python data_science framework math opensource source_code
You can use floating-point numbers for money https://www.evanjones.ca/floating-point-money.html
Sat 25 Jan 2020 01:35:43 PM CET
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If you round the result of every computation, then you can get exactly correct financial calculations using floating-point numbers, for realistic ranges of values.

article math programming
Using neural networks to solve advanced mathematics equations https://ai.facebook.com/blog/using-neural-networks-to-solve-advanced-mathematics-equations/
Wed 15 Jan 2020 05:01:31 PM CET
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Facebook AI has developed the first neural network that uses symbolic reasoning to solve advanced mathematics problems.

AI article math neural_networks post research science
Nota - Terminal calculator with rich notation https://kary.us/nota/
Sun 12 Jan 2020 09:03:08 AM CET
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Nota is a nice terminal calculator with rich notation rendering. It is designed for your quick calculations and therefore provides you with a tiny and beautiful language so you can express your ideas easily. Nota is all about beauty and ASCII art.

#cli-app calc math terminal
Predicting When P=NP is Resolved | Gödel's Lost Letter and P=NP https://rjlipton.wordpress.com/2019/12/22/predicting-when-pnp-is-resolved/
Sun 22 Dec 2019 11:07:22 PM CET
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Ryohei Hisano and Didier Sornette wrote in 2012 a paper titled, “On the distribution of time-to-proof of mathematical conjectures.”

Today Ken and I discuss predicting the end to mathematical conjectures. This is apart from considering odds on which way they will go, which we also talk about.

Nine years ago the Christmas issue of the New Scientist magazine analyzed a small set of solved mathematical conjectures and used it to forecast when the P vs. NP conjecture would be solved. The article estimated that the “probability for the P vs. NP problem to be solved by the year 2024 is roughly 50%”.

article math science
Mathematician Terence Tao and the Collatz Conjecture https://www.quantamagazine.org/mathematician-terence-tao-and-the-collatz-conjecture-20191211/
Sat 14 Dec 2019 09:23:03 PM CET
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Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades.

article math science
Elliptic Curve Cryptography Explained https://fangpenlin.com/posts/2019/10/07/elliptic-curve-cryptography-explained/
Wed 09 Oct 2019 07:34:40 PM CEST
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Recently, I am learning how Elliptic Curve Cryptography works. I searched around the internet, found so many articles and videos explaining it. Most of them are covering only a portion of it, some of them skip many critical steps how you get from here to there. In the end, I didn’t find an article that really explains it from end-to-end in an intuitive way.

With that in mind, I would like to write a post explaining Elliptic Curve Cryptography, cover from the basics to key exchange, encryption, and decryption.

article cryptography math science
A Million Digits of Pi in 9 Lines of Javascript http://ajennings.net/blog/a-million-digits-of-pi-in-9-lines-of-javascript.html
Mon 07 Oct 2019 10:29:07 AM CEST
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Calculate digits of π. From scratch, that is, using only addition, subtraction, multiplication, and division.

article math programming
Almost all Collatz orbits attain almost bounded values https://terrytao.wordpress.com/2019/09/10/almost-all-collatz-orbits-attain-almost-bounded-values/
Mon 16 Sep 2019 01:26:39 AM CEST
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article math science
Constant-time gcd https://gcd.cr.yp.to/papers.html
Thu 13 Jun 2019 08:48:36 AM CEST
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Daniel J. Bernstein, Bo-Yin Yang. "Fast constant-time gcd computation and modular inversion."

algorithm math paper research science
elkai: Python 3 TSP solver based on LKH (cross platform) https://github.com/pyEntropy/elkai
Tue 21 May 2019 12:50:03 AM CEST
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elkai is a Python 3 library for solving travelling salesman problems without external dependencies, based on LKH by Keld Helsgaun.

coding_lang:python math opensource optimization software
Playing with model trains and calling it graph theory https://11011110.github.io/blog/2019/05/02/playing-model-trains.html
Fri 03 May 2019 06:17:32 PM CEST
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You’ve probably played with model trains, for instance with something like the Brio set shown below.1 And if you’ve built a layout with a model train set, you may well have wondered: is it possible for my train to use all the parts of my track?

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article blog graph math science
Paper folding theorem: required strip length for single-direction folding https://www.fxsolver.com/browse/formulas/Paper+folding+theorem+(required+strip+length+for+single-direction+folding)
Sat 27 Apr 2019 02:02:01 PM CEST
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Britney Crystal Gallivan (born 1985) of Pomona, California, is best known for determining the maximum number of times that paper or other materials can be folded in half.

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article blog math science
Mathigon Course Library https://mathigon.org/courses
Thu 28 Mar 2019 10:44:13 PM CET
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Mathigon's innovative new curriculum covers everything from fractions and trigonometry to graph theory, cryptography, prime numbers and fractals.

course math online
Fibonacci Formulas For Fantastic Fun | Math and Making https://mathandmaking.wordpress.com/2016/11/16/fibonacci-formulas-for-fantastic-fun/
Sat 06 Oct 2018 10:53:03 PM CEST
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The Fibonacci numbers are the sequence 1, 1, 2, 3, 5, 8, ..., and satisfy the recurrence F(n) = F(n – 1) + F(n – 2).

They also have a beautiful formula.

My favorite derivation of this formula entirely avoids algebraic manipulation.

algorithm article blog math science
What Made Gödel’s Incompleteness Theorem Hard to Prove: It’s about How You Say it, Not Just What You Say – Algorithm Soup https://algorithmsoup.wordpress.com/2018/10/01/what-made-godels-incompleteness-theorem-hard-to-prove-its-about-how-you-say-it-not-just-what-you-say/
Sat 06 Oct 2018 10:47:16 PM CEST
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Roughly speaking, Gödel’s Incompleteness Theorem states that there are true mathematical statements that cannot be proven. When I was in 11-th grade, my geometry teacher Mr. Olsen, my friend Uma Roy, and I spent five weeks reading through Gödel’s original proof of the theorem. Why did it take so long? Partly because Uma and I were high-school students. Partly because Gödel was a less-than-talented writer. But mostly because the proof is actually pretty hard.

article blog math science
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