Fermat's Library @fermatslibrary
A platform for illuminating academic papers. We annotate and share a paper every week. Save, annotate and share papers with anyone: https://t.co/0o2Pls3jmo fermatslibrary.com Joined September 2015-
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Microbial Art These beautiful structures illustrate the coping mechanism that bacteria have learned to employ as they adapt to hostile environments. 🦠 🖼️
Basel Problem: 1/1² + 1/2² + 1/3² + 1/4² + ... = ? Some of the brightest mathematicians like Newton, Liebniz and Jakob Bernoulli struggled with this simple series. It was only in 1734 that Euler - at the age of 27 - found that this infinite series converged to π²/6.
"The Uncanny Valley" published by Masahiro Mori in 1970 explores how our affinity for robots changes as they become more human-like. This paper has had a big impact on human-computer interaction and is especially relevant today's AI landscape. Read on: fermatslibrary.com/s/the-uncanny-…
The letter π was first introduced as a symbol for the ratio of the circumference of a circle to its diameter by the Welsh mathematician William Jones in 1706. π is the first letter of the Greek word "peripheria" (περιφέρεια), which means perimeter.
Here are the only temperatures that are prime integers in both Celsius and Fahrenheit
Here is the only number that cannot be written as x² + 2y² + 7z² + 11w²
"A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it." - Max Planck
11¹¹ = 285311670611 contains exactly two embedded elevens
The infinite gift 🎁 is an interesting object where the side of the nth box is 1/√n. As n→+∞, the gift has infinite surface area and length but finite volume!
This week's paper is "What is good mathematics?" by Terence Tao. Paper: fermatslibrary.com/s/what-is-good…
No century begins with a Tuesday, Thursday, or Sunday
Here's a curious fact about e and π
There's enough DNA in the body of a human to stretch from the Sun to Pluto and back 17 times.
The "πᵗʰ root of 4" can be expressed as the following limit
Here are a few examples of anomalous cancellations: a particular kind of arithmetic procedural error that gives a numerically correct answer. Can you derive a few elementary properties of anomalous cancellations?
"Nobody else took what I was doing seriously, so nobody would want to work with me. I was thought to be a bit eccentric and maybe cranky" Peter Higgs, the physicist who discovered the theoretical mechanism explaining the origin of mass in the universe, has passed away today.
Our Moon is the only satellite in the solar-system with a nearly perfect fit over the Sun: the diameter of the Moon is 400 times smaller than the diameter of the Sun, but it is also 400 times closer to us. It's due to this remarkable coincidence that we see total solar eclipses.
In this week’s paper Curtis Feist and Ramin Naimi explore why car sunshades fold oddly using topology Paper: fermatslibrary.com/s/topology-exp…
A proof that XKCD 1944 is correct an there is more gold in the Sun than water in the oceans The mass of the Sun is 1.989 × 10³⁰kg. There's 1 × 10⁻⁷% of gold, which accounts for 1.989 × 10²¹kg. There is 1.26×10²¹kg water on Earth, 98% is in the oceans, i.e. 1.235 × 10²¹ kg.
In mathematics, a rose curve is a sinusoid characterized by the equation r = cos(kθ) or r = sin(kθ) in polar coordinates
Cliff Pickover @pickover
183K Followers 52 Following Increase your sense of wonder. (Author of 50 books & 800 patents. Yale Ph.D.) "Pickover contemplates realms beyond our known reality." ~NY Times
Grant Sanderson @3blue1brown
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Quanta Magazine @QuantaMagazine
323K Followers 657 Following Illuminating math and science. Supported by @SimonsFdn. 2022 Pulitzer Prize in Explanatory Reporting.
MIT CSAIL @MIT_CSAIL
298K Followers 22K Following MIT's Computer Science & Artificial Intelligence Laboratory (CSAIL). Media Inquiries: [email protected]
Martin Bauer @martinmbauer
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Gabriel Peyré @gabrielpeyre
92K Followers 450 Following @CNRS researcher at @ENS_ULM. One tweet a day on computational mathematics.
Abakcus @abakcus
73K Followers 310 Following Abakcus is the best curation site for math and science. Please subscribe my weekly newsletter! It is FREE! https://t.co/uPkgdO2mwT
Steven Strogatz @stevenstrogatz
157K Followers 3K Following Mathematician, writer, Cornell professor. All cards on the table, face up, all the time.
Jay Cummings @LongFormMath
36K Followers 670 Following Math prof @SacState. Author of long-form textbooks on proofs (https://t.co/YqXnxDmOe0) & real analysis (https://t.co/3IGQ6BIx5Z). Math History book in late 2024
sunny @thePiggsBoson
76K Followers 93 Following Science writer. Editor at @cantor_paradise | Tweets about Physics, Mathematics, Philosophy, and Books | Curator @PhysInHistory🇳🇵
MathType @MathType
40K Followers 303 Following Type and handwrite mathematical notation. Easily include quality math equations in your documents and digital content. Part of @wiris_science.
Mathematics & Statist.. @StA_Maths_Stats
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31K Followers 2K Following Cosmologist, physicist, dirtbag mountain biker, expat Montanan, Copernican extremist. Part of the problem.
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23K Followers 1K Following Machine Learning & AI, Information Sciences & Information Geometry, Distances & Statistical models, HPC. "Geometry defines the architecture of spaces" @SonyCSL
Steven Brunton @eigensteve
45K Followers 1K Following Teaches math to engineers: https://t.co/TJ5i3Pg678 Professor @UW researching #MachineLearning for #Dynamics and #Control, especially for #FluidDynamics.
Mathigon @MathigonOrg
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68 Followers 890 Following Postdoc in Jiayang Li Lab, Institute of Genetics and Developmental Biology, CAS. Focus on the Multi-omics of the rice & dandelions🌾🌱🧬
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Zy @Zy5995289364580
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W3i Reviews @W3iReviews
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Vatsal @vtslkshk
7K Followers 431 Following सा विद्या या विमुक्तये (That which liberates is knowledge)
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なまはむの探究.. @Namahamutruth
26 Followers 123 Following 名前の通り生ハムが好きです。 自称 生ハムと真理の探究者 エヴァが大好きで、アスカ派です。都市伝説と物理学に興味があります！ 気が向いたら深夜に投稿します。
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275 Followers 3K Following Speak less, listen more. Authentic, compassionate, human being observing the world one tweet at a time. 🇺🇸🇺🇦🇮🇱
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munyakazi said able(... @AbleMunyakazi
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Luis Batalha 🇵🇹.. @luismbat
10K Followers 343 Following Physicist. Founded @amplemarket, @fermatslibrary, @orankl_inc
Micael Oliveira @MicaelOl
2K Followers 268 Following Physicist. Founder @amplemarket, @fermatslibrary 😊. Alum @ycombinator. 👨🏻💻 in foggy SF 🌁
João Batalha 🇵�.. @joao_batalha
3K Followers 245 Following cofounder at @amplemarket. Late nights spent annotating papers on @fermatslibrary Prev: CS @MIT
Here's my conversation with Luís Batalha (@luismbat) and João Batalha (@joao_batalha), co-founders of @fermatslibrary which is a platform for annotating research papers. Plus its Twitter account does a masterful job of revealing the beauty in mathematics. youtube.com/watch?v=ndMahz…
Who wants to solve this? $1000 bucks if you can.
The convergence of the following series is still an open problem in Mathematics
This article may be from 2004, but it never gets old! Thanks to @fermatslibrary for bringing it to the fore once again! Here's the permalink to the article in @CaltechArchives: resolver.caltech.edu/CaltechES:67.1…
How can 2 teams excavate a tunnel from both ends and ensure they meet in the middle? Eupalinos of Megara figured it out in the 6th century BC and built the Tunnel of Samos (over 1km long) in 8 years: fermatslibrary.com/s/the-tunnel-o… A great paper for your summer ☀️reading list 📚
My “Calculator Number Trick” video inspired by this @fermatslibrary tweet. youtu.be/waqDoeQ0Ijw
Any number dialed in a rectangular shape on a calculator numpad is a multiple of 11
Introducing the "Reproducible Science @ Stanford" initiative at @Stanford! We aim to raise awareness and discuss how the upcoming generation of scientists can practice more reproducible science! Visit us at reproduciblescience.stanford.edu #openscience @METRICStanford
Featured in Fermat's Library, a "platform for illuminating academic papers." Wow, pretty nice! Thank you.
"The Mundanity of Excellence" is a deconstruction of "Excellence" and was published in 1989 by D. F. Chambliss. He studied of swimmers for several years and was able to find 3 main factors that differentia top from average swimmers. It's a great read: fermatslibrary.com/s/the-mundanit…
@fermatslibrary Don't be a change in Acceleration! BTW the derivatives are not written correctly. For example: j=da/dt=d²v/dt²=d³x/dt³.
Today on the podcast: @fermatslibrary cofounders @joao_batalha and @luismbat blog.ycombinator.com/fermats-librar…
We're podcasting with @fermatslibrary, a platform for illuminating academic papers. What questions do you have?
How have I only just discovered this?? Much needed Chrome extension to augment arxiv papers: fermatslibrary.com/librarian @fermatslibrary
This AMA is happening now! Feel free to ask questions about this paper or about how it relates to GAN training. I’ll be answering questions throughout the day. x.com/fermatslibrary…
This Thursday we are doing an AMA with Augustus Odena (@gstsdn) from Google Brain about local geometry of GAN generators. You can ask Augustus questions about the paper here: fermatslibrary.com/arxiv_comments…
I'm doing an AMA with @fermatslibrary today: fermatslibrary.com/arxiv_comments…
I blogged about why the cosmological constant problem is so darn difficult. x.com/quantamagazine…
Why is empty space so empty? The Nobel laureate physicist Steven Weinberg called this “the bone in our throat.” quantamagazine.org/why-the-dark-e…
I wrote about a newly proposed experiment that could detect a sure sign of otherwise invisible quantum gravity – "the grin of the Cheshire cat." quantamagazine.org/physicists-fin…
My first contribution to @fermatslibrary
For the first time, cosmologists have shown how a universe could theoretically bounce, giving new life into an underdog theory of the cosmos. My new article in @QuantaMagazine: quantamagazine.org/big-bounce-mod…
I love how many people are quibbling over "but in what units?!" With a number that big, it doesn't even matter. The orders of magnitude between lightyears and Planck Lengths just fade away under all those digits. x.com/fermatslibrary…
This is one of the biggest numbers you can find in a physics paper. It's the expected distance one would travel before encountering another visible-universe-sized region of space with an identical quantum state as ours.
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