smib 0.32 - Changelog

What's new in smib 0.32:

May 8th, 2013

What can we do with euclidean division of polynomial:

· GCD
· polynomial equations
· modular inversion
· chinese remainder theorem

· Factorization, field of rational function.

What's new in smib 0.31:

March 23rd, 2013

· Stochastic differential equation in higher dimension;
· Partial differential equation simulation using stochastic differential equation;
· Some improvement in documentation.

What's new in smib 0.30:

December 10th, 2012

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

What's new in smib 0.29:

November 3rd, 2012

· 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

What's new in smib 0.28:

October 1st, 2012

· some optimizations in generalized stochastic differential equation
· Mertens fonction
· new documentation

What's new in smib 0.27:

June 9th, 2012

· Quantum mechanic using smib

What's new in smib 0.25:

April 12th, 2012

· antiderivative v2 : new version of defint too,
· perfect number & harmonic mean of divisors,
· bug corrections.

What's new in smib 0.24:

February 19th, 2012

· rational fonction & decomposition
· antiderivative
· bug corrections

What's new in smib 0.23:

December 27th, 2011

Some polynomial algebra :
· Bezout identity (extended greater divisor)
· squarefree factorization
· resultant
· discriminant

What's new in smib 0.21:

September 14th, 2011

· generalized stochastic differential equation (not only with brownian motion): mean and variance computation
· Stratonovitch stochastic integral with brownian motion
· bug correction.

What's new in smib 0.19:

April 26th, 2011

· Lagrange interpolation using Newton polynomials
· sample applied to quantile and median

What's new in smib 0.17:

March 9th, 2011

· Derivation of samples (integer & fractional)
· Bug correction.

What's new in smib 0.16:

February 8th, 2011

· Numerical application to special functions : Bessel functions, Hankel functions & Airy functions
· Some new example applied to differential geometry, probability & statistic.

What's new in smib 0.15:

December 3rd, 2010

· tensor calculus finally documented

What's new in smib 0.14:

December 3rd, 2010

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.

What's new in smib 0.13:

December 3rd, 2010

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.

What's new in smib 0.12:

December 3rd, 2010

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.

What's new in smib 0.10:

February 8th, 2010

· Quickref in english, more number theory.