smib Files

In this version :
 - 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

V 0.24 :
 - 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.