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whip_lash : math   17

Ask HN: How to self-study mathematics from the undergrad through graduate level? | Hacker News
Hey HN community, I've been looking to get deep and build my math skills from the foundation up. I have the time to dedicate to this endeavor and I'd love to hear if you have any specific resources/curriculums you recommend.
january 2019 by whip_lash
Statistical rule of three
The rule of three gives a quick and dirty way to estimate these kinds of probabilities. It says that if you’ve tested N cases and haven’t found what you’re looking for, a reasonable estimate is that the probability is less than 3/N.
algorithms  datascience  math  statistics 
november 2018 by whip_lash
The Riemann Hypothesis, explained – Jørgen Veisdal – Medium
Present an argument or formula which (even barely) predicts what the next prime number will be (in any given sequence of numbers), and your name will be forever linked to one of the greatest achievements of the human mind, akin to Newton, Einstein and Gödel. Figure out why the primes act as they do, and you will never have to do anything else, ever again.
october 2018 by whip_lash
rougier/numpy-100: 100 numpy exercises (100% complete)
This is a collection of numpy exercises from numpy mailing list, stack overflow, and numpy documentation.
math  numpy  python  github 
february 2018 by whip_lash
Chaos Theory in Ecology Predicts Future Populations | Quanta Magazine
Sugihara and others are now starting to apply his methods not just in ecology but in finance, neuroscience and even genetics. These fields all involve complex, constantly changing phenomena that are difficult or impossible to predict using the equation-based models that have dominated science for the past 300 years. For such systems, DeAngelis said, empirical dynamic modeling “may very well be the future.”
november 2017 by whip_lash
The Unforgiving Math That Stops Epidemics | Quanta Magazine
If you know how many secondary cases to expect from each infected person, you can figure out the level of herd immunity needed in the population to keep the microbe from spreading. This is calculated by taking the reciprocal of R0 and subtracting it from 1. For measles, with an R0 of 12 to 18, you need somewhere between 92 percent (1 – 1/12) and 95 percent (1 – 1/18) of the population to have effective immunity to keep the virus from spreading. For flu, it’s much lower — only around 50 percent. And yet we rarely attain even that level of immunity with vaccination.
health  math  science 
october 2017 by whip_lash
Beyond the Bell Curve, a New Universal Law | Quanta Magazine
The central limit theorem, which was finally made rigorous about a century ago, certifies that test scores and other “uncorrelated” variables — meaning any of them can change without affecting the rest — will form a bell curve. By contrast, the Tracy-Widom curve appears to arise from variables that are strongly correlated, such as interacting species, stock prices and matrix eigenvalues.
science  math  statistics 
october 2017 by whip_lash
Elementary Calculus
This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.
book  math 
september 2014 by whip_lash
Project Euler
"Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems."
programming  math  puzzles  education  learning 
september 2011 by whip_lash
Why 5, 8 and 24 Are the Strangest Numbers in the Universe: Scientific American
"In 2008 Baez gave a series of lectures explaining what makes five, eight and 24 such unique and mysterious entities. The lectures, which are intended for a general interest audience, live on the Internet as both pdfs of the slides he used and video recordings. Watching them, you can learn not only a lot more about what makes octonions special, but also sphere stacking, the golden ratio, Islamic tiles, and why the sum of all integers equals –1/12."
may 2011 by whip_lash

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