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pbillet
Posts:
31
From:
paris
Registered:
9/23/09


Annoucement : smib0.19 release
Posted:
Apr 25, 2011 3:56 AM


smib is a mosaic of FORTH and LISP, C Sauce and an experimental programming language in mathematics. Some experimental fields :  Arithmetic & number theory  Differential geometry  Numerical analysis  Probability & statistics.
In this version :  Lagrange interpolation using Newton polynomials  sample applied to quantile and median.
In previous versions : V 0.18 :  complex analysis : complex path, complex path integral, complex path index, number of singularities  bug fix: simplification of expressions, numerical evaluation.
V 0.17 :  derivation of samples (integer & fractional)  bug correction.
V 0.16 :  Numerical application to special functions : Bessel functions, Hankel functions & Airy functions  Some new example applied to differential geometry, probability & statistic.
V 0.15 :  tensor calculus finally documented V 0.14 :  numerical analysis :  fractional derivative  new version of Euler scheme : ODE and coupled ODEs are treated by one program  probability & statistic :  gaussian random number  new version of brownian motion  bugs correction.
V 0.13 :  numerical analysis :  first order differential equation  system of two first order differential equations (using Euler scheme).
 probability & statistic :  quantile & median  stochastic differential equation (EulerMurayama & Milstein schemes)
 new documentation.
V 0.12 :  probability & statistic :  expected value  variance  standard deviation  skewness  kurtosis  least square line
 differential geometry :  planar curves  3D curves  theory of surfaces using Gauss approach
 improvement :  simplify (if A=(x1)*(x+1)/(x1), simplify(A) returns : 1 + x)  numint (if simpsonint = 1, Simpson scheme is used, else Gauss scheme is used), for probability, it is a good idea to set simsonint to 1.



