This looks like something I could integrate into my workflow.

I'd push back on this a bit by saying that there are huge swaths of people looking at English translations, of Latin translations, of Greek, Hebrew, and Aramaic translations. Not only is there some detail lost in the multiple levels of translation, but many modern Christians are actively mis-applying the stories in the Bible to apply to their modern lives in radically different ways than was intended.

Hotz, J. (n.d.). Can an Algorithm Help Solve Political Paralysis? Scientific American. Retrieved September 21, 2020, from https://www.scientificamerican.com/article/can-an-algorithm-help-solve-political-paralysis/

Net-COVID Session4A: Math Models of Epidemic Spreading in the Time of COVID-19 by Ginestra Bianconi. (2020, May 1). https://www.youtube.com/watch?v=vZ2Ezsffkqs&list=PLVWaQYnj_BZVQal-KQ0rf8CcZJPIhpuO3&index=4

Viglione, G. (2020). Has Twitter just had its saddest fortnight ever? Nature. https://doi.org/10.1038/d41586-020-01818-3

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Williams, A. E. (2020, April 20). The Global Response to COVID-19 as an Example of a One-Sided Problem Definition in the Absence of General Collective Intelligence. https://doi.org/10.31234/osf.io/emgxc

Endo, A., Centre for the Mathematical Modelling of Infectious Diseases COVID-19 Working Group, Abbott, S., Kucharski, A. J., & Funk, S. (2020). Estimating the overdispersion in COVID-19 transmission using outbreak sizes outside China. Wellcome Open Research, 5, 67. https://doi.org/10.12688/wellcomeopenres.15842.1

Vespignani, A., Tian, H., Dye, C. et al. Modelling COVID-19. Nat Rev Phys (2020). https://doi.org/10.1038/s42254-020-0178-4

Tsitsulin, A. & Perozzi B. Understanding the Shape of Large-Scale Data. (2020 May 05). Google AI Blog. http://ai.googleblog.com/2020/05/understanding-shape-of-large-scale-data.html

Response to “Modelling the pandemic”: Reconsidering the quality of evidence from epidemiological models. (2020). https://www.bmj.com/content/369/bmj.m1567/rr-0

Velásquez, N., et al. (2020, April 1). Hate multiverse spreads malicious COVID-19 content online beyond individual platform control. Cornell University. arXiv:2004.00673.

Taleb, N. N. (2019). On the Statistical Differences between Binary Forecasts and Real World Payoffs. ArXiv:1907.11162 [Physics, q-Fin]. http://arxiv.org/abs/1907.11162

Resnick, B. (2020 April 10). Why it's so hard to see into the future of Covid-19. Vox. https://www.vox.com/science-and-health/2020/4/10/21209961/coronavirus-models-covid-19-limitations-imhe

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Norbert Wiener was a mathematician with extraordinarily broad interests. The son of a Harvard professor of Slavic languages, Wiener was reading Dante and Darwin at seven, graduated from Tufts at fourteen, and received a PhD from Harvard at eighteen. He joined MIT's Department of Mathematics in 1919, where he remained until his death in 1964 at sixty-nine. In Ex-Prodigy, Wiener offers an emotionally raw account of being raised as a child prodigy by an overbearing father. In I Am a Mathematician, Wiener describes his research at MIT and how he established the foundations for the multidisciplinary field of cybernetics and the theory of feedback systems. This volume makes available the essence of Wiener's life and thought to a new generation of readers.

I think this issue is particularly important in mathematics. One of the seminal researchers in my field, Les Steffe, distinguishes "school mathematics" from the mathematics of students as a modeling construct; others have conceptualized situated cognition; informal mathematics,

Craft 5 mathematics & psychedelics tokens for this video.

I do not get this. Epoch 15 indicates that we are already over-fitting to the training data set, on? Assuming both training and test set come from the same population that we are trying to learn from.

This contradicts the earlier statement about epoch 280 being the point where there is over-training.

Can this happen? Can the accuracy on the training data set ever increase with the training epoch?

When c is large, small differences in z_j^L are magnified and the function jumps between 0 and 1, depending on the sign of the differences. On the other hand, when c is very small, all activation values will be close to 1/N; where N is the number of neurons in layer L.

这个哥们的文章和这个月内好几篇的立意基本一致(1811.03804/1811.03962/1811.04918) [抓狂] ，估计作者正写的时候，内心是崩溃的~[笑cry] 赶快强调自己有着不同的 assumption~

每次看到研究梯度优化理论的 paper，都感觉到无比的神奇！厉害到爆表。。。。

全篇的数学理论推导，意在回答2/3层过参的网络可以足够充分地学习和有良好的泛化表现，即使在简单的优化策略（类SGD）等假定下。（FYI： 文章可谓行云流水，直截了当，标准规范，阅读有种赏心悦目的感觉~）

全篇的数学理论证明：深度过参网络可以训练到0。（仅 train loss，非 test loss）+（GD，非 SGD）

烧脑！CMU、北大等合著论文真的找到了神经网络的全局最优解

又一个全篇的数学理论证明，但是没找到 conclusion 到底是啥，唯一接近的是 remark 的信息，但内容也都并不惊奇。不过倒是一个不错的材料，若作为熟悉DNN背后的数学描述的话。

In mathematics, the convex hull or convex envelope of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X. -Wikipedia

As Uri Treisman said, “The most common use of algebra in the adult world is helping their kids with algebra.”

CUNY found that more students went on to graduate when they were allowed to take statistics instead of remedial algebra. And the results were the same regardless of race or ethnicity.

there are two different measurements for the length of a foot in the United States: the International Foot (also commonly called the foot) and the U.S. Survey Foot. The International Foot (which we were all taught in school) is defined as 0.3048 meters, whereas the U.S. Survey Foot is defined as 0.3048006096 meters. The difference of the two equates to 2 parts per million.

For example, in a measurement of 10,000 feet, the difference would be 0.02 feet (just less than one-quarter of an inch). In a measurement of 1 million feet, the difference is 2 feet.

what's the equation for that?

You had me already at the Coffee Cup picture over the equations! :)

If you accept this bizarre interpretation, then you can suspend the belief in the fact, known to everybody, that \(P \ne NP\), because it hasn't been mathematically proved, and say the question isn't solved yet. Wow, how interesting!

Sunil Singh asks us to stop promoting mathematics based on its current applications in business and science. Math is an art that should be enjoyed for its own sake.

This reminded me of A Mathematician's Lament by Paul Lockhart. This is a 25-page essay which was later worked into a 140-page book. (And Sunil Singh has read at least one of them. He credits Lockhart in one of the replies.)

It also reminds me of this article on the history of Gaussian elimination and the birth of matrix algebra. Newton's algebra text included instructions for solving systems of equations -- but it didn't have much practical use until later. (Silly word problems are as old as mathematics.)

We should let people learn at their own pace. We should neither rush them, nor hold them back. If they show a talent, then encouraging them to push themselves is fine.

Math isn't for everyone, and that's fine. The same is true of any other subject. We should help people learn what they are interested in learning.

hyperuniform distribution - Appears random at smaller scales, but more predictable at larger scales.

Straightforward intuition isn't just intuition.

"The rule states that anyone that joins collaboration in good faith will be listed equally as an author, regardless of the relative contributions they end up making.

Category Theory for Programmers<br> Haskell and C++, Bartosz Milewski

New property of prime numbers discovered. Primes greater than 5 can end with 1, 3, 7, or 9. The next prime is less likely to end with the same digit, and biased toward one of the remaining three. For instance, a prime ending in 3 is most likely to be followed by a prime ending in 9. The bias evens out as the primes get larger, but only very slowly.

http://arxiv.org/abs/1603.03720

Number Theory: In Context and Interactive, Karl-Dieter Crisman (online textbook)

A First Course in Linear Algebra, Robert A. Beezer<br> Free as PDF or online.

Design-Oriented Analysis Rules and Tools, Dr. R. David Middlebrook

Real problems usually have more variables than equations. So approximations and inequalities are essential.

Free courses and tutorials from the Santa Fe Institute on subjects related to complex systems science.

Site on pre-Renaissance Muslim contributions to knowledge. https://twitter.com/HeritageMuslim

Category Theory for the Sciences by David I. Spivak<br> Creative Commons Attribution-NonCommercial-ShareAlike 4.0<br> MIT Press.

Open source textbooks approved by the American Institute of Mathematics.

The Physics of Golf, by Martin Paul Gardiner

One of the central problems in these articles is the glaring lack of math. These personal choices and the environment they have set up for themselves tells us rather only the minuscule part of the story!

What eccentricities? He just lives with his parents and did not accept either the Fields' Medal or the Claymath's Millennium Prize.