Date: Nov 2, 2012 12:09 PM Author: pbillet Subject: Annoucement : smib-0.29 release 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.

Download at : http://sourceforge.net/projects/smib/

Homepage at : http://smib.sourceforge.net/

In this version :

- odesolve : ordinary differential equation solver (for first order - using dsolve-, and second order if coefficients are constant)

- dsolve uses antider instead of integral (calling a smib program in the smib kernel (in C language))

- Syracuze conjecture (dynamic allocation of arrays)

- Mertens function & Redheffer matrix

V 0.28 :

- some optimizations in generalized stochastic differential equation

- Mertens fonction

- new documentation

V 0.27 :

- quantum mechanic using smib

V 0.26 :

- quaternions

- bug corrections

V 0.25 :

- antiderivative v2 : new version of defint too

- perfect number & harmonic mean of divisors

- bug corrections

- rational fonction & decomposition

- antiderivative

- bug corrections

V 0.23 :

- Some polynomial algebra :

* Bezout identity (extended greater divisor)

* squarefree factorization

* resultant

* discriminant

V 0.22 :

- law of large numbers & central limit theorem

- some simplifications in hyperbolic trigonometry

- almost all warnings suppressed (using -Wno-write-strings option)

V 0.21 :

- generalized stochastic differential equation (not only with brownian motion): mean and variance computation

- Stratonovitch stochastic integral with brownian motion

- bug correction.

V 0.20 :

- stochastic differential equation : mean and variance computation

- non-linear least squares approximation.

V 0.19 :

- Lagrange interpolation using Newton polynomials

- sample applied to quantile and median.

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 :

- fractionnal derivative

- new version of Euler scheme : ODE and coupled ODEs are treated by one program

- probability & statistic :

- gaussian random nuber

- 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 (Euler-Murayama & Milstein schemes)

- new documentation.

V 0.12 :

- probality & 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=(x-1)*(x+1)/(x-1), 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.