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Life of travelling consultant means I get to do remote maths homework help...
pythagoras  polynomials  maths  foil  from twitter
4 weeks ago by nigeljames
Programmer's guide to polynomials and splines
So you are a programmer. Why would you want to know about polynomials? One reason would be that this is the geometrical clay we can easily make different things of.
tutorial  polynomials 
february 2018 by Tafkas
[1705.00098] Xorshift random number generators from primitive polynomials
A class of xorshift random number generators (RNGs) are introduced by Marsaglia. We have proposed an algorithm which constructs a full period xorshift RNG from a given primitive polynomial. It is shown there is a weakness present in those RNGs and is suggested its improvement. A separate algorithm is also proposed which returns a full period xorshift generator with desired number of xorshift operations.%We also introduce the notion of tweaked primitive multiple-recursive matrix method with improved linear complexity.
cryptography  algorithms  number-theory  polynomials  rather-interesting  performance-measure  nudge-targets  consider:stress-testing 
may 2017 by Vaguery
[1109.2396] New Solutions of $d=2x^3+y^3+z^3$
We discuss finding large integer solutions of d=2x3+y3+z3 by using Elsenhans and Jahnel's adaptation of Elkies' LLL-reduction method. We find 28 first solutions for |d|<10000.
number-theory  algebra  polynomials  constraint-satisfaction  rather-interesting  to-write-about  nudge-targets  consider:looking-to-see  stamp-collecting  algorithms 
april 2017 by Vaguery
Peter Norvig, the meaning of polynomials, debugging as psychotherapy | Quomodocumque
He briefly showed a demo where, given values of a polynomial, a machine can put together a few lines of code that successfully computes the polynomial. But the code looks weird to a human eye. To compute some quadratic, it nests for-loops and adds things up in a funny way that ends up giving the right output. So has it really ”learned” the polynomial? I think in computer science, you typically feel you’ve learned a function if you can accurately predict its value on a given input. For an algebraist like me, a function determines but isn’t determined by the values it takes; to me, there’s something about that quadratic polynomial the machine has failed to grasp. I don’t think there’s a right or wrong answer here, just a cultural difference to be aware of. Relevant: Norvig’s description of “the two cultures” at the end of this long post on natural language processing (which is interesting all the way through!)
mathtariat  org:bleg  nibble  tech  ai  talks  summary  philosophy  lens  comparison  math  cs  tcs  polynomials  nlp  debugging  psychology  cog-psych  complex-systems  deep-learning  analogy  legibility  interpretability 
march 2017 by nhaliday

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