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Middle and Ripple, fast simple O(lg n) algorithms for Lucas Numbers
Lucas numbers algorithms iteration recursion Fibonacci
2011/3/1
A fast and simple O(log n) iteration algorithm for individual Lucas numbers is given. This is faster than using Fibonacci based methods because of the structure of Lucas numbers. Using a √5 conversion...
A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking
Internet Security Chaotic Sequences Statistical Tests
2010/12/28
In this paper, a new chaotic pseudo-random number gen-erator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses im-
portant prop...
I present Franz Lemmermeyer’s proof that if p is a prime ≡ 9 (16) then the class number of Qp 1 4 is ≡ 2 (4).
Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant,Macdonald,Shapiro and Steinberg
Betti numbers of smooth Schubert varieties remarkable formula of Kostant Macdonald,Shapiro Steinberg
2010/12/7
The purpose of this note is to give a refinement of the product formula proved in [1] for
the Poincar´e polynomial of a smooth Schubert variety in the flag variety of an algebraic group G over ...