Date: Dec 9, 2012 12:08 PM
Author: pbillet
Subject: Annoucement : smib-0.30 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 :
- spectral theory of undirected graphs :
* adjacency matrix
* degree matrix
* laplacian matrix
* number of triangles
* number of connected components
- electromagnetic tensor and its properties
- odesolve : second order if a particular solution is known

V 0.29 :
- 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