smib Changelog

New in version 0.36

December 30th, 2014
  • PDE simulation using SDE and Feynman-Kac formula : 1D & 2D
  • Graph : number of connected components
  • Weyl sum : some plottings
  • Bugs correction

New in version 0.35 (December 30th, 2014)

  • Partial differential equation simulation using stochastic differential equation and Feynman-Kac formula.

New in version 0.34 (December 5th, 2013)

  • Differential operators in orthogonal system of coordinates
  • Gosper algorithm : antidifference
  • antiderivative : new version
  • Bugs correction

New in version 0.33 (June 10th, 2013)

  • propositional logic : operators, truth table, tautology, antilogy
  • 60 seconds in a minute, why ?
  • on nonassociativity and Jacobi identity

New in version 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.

New in version 0.31 (March 23rd, 2013)

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

New in version 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

New in version 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

New in version 0.28 (October 1st, 2012)

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

New in version 0.27 (June 9th, 2012)

  • Quantum mechanic using smib

New in version 0.25 (April 12th, 2012)

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

New in version 0.24 (February 19th, 2012)

  • rational fonction & decomposition
  • antiderivative
  • bug corrections

New in version 0.23 (December 27th, 2011)

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

New in version 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.

New in version 0.19 (April 26th, 2011)

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

New in version 0.17 (March 9th, 2011)

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

New in version 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.

New in version 0.15 (December 3rd, 2010)

  • tensor calculus finally documented

New in version 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.

New in version 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.

New in version 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.

New in version 0.10 (February 8th, 2010)

  • Quickref in english, more number theory.