What's new in smib 0.38
Mar 1, 2016
- Variational calculus : Euler-Lagrange operator
- Functions of matrix : exponential, logarithm
- System of ordinary linear differential equations
- antider : some new integrals handled (if versionint=5 it may give interesting result or infinite loop)
New in smib 0.36 (Dec 30, 2014)
- PDE simulation using SDE and Feynman-Kac formula : 1D & 2D
- Graph : number of connected components
- Weyl sum : some plottings
- Bugs correction
New in smib 0.35 (Dec 30, 2014)
- Partial differential equation simulation using stochastic differential equation and Feynman-Kac formula.
New in smib 0.34 (Dec 5, 2013)
- Differential operators in orthogonal system of coordinates
- Gosper algorithm : antidifference
- antiderivative : new version
- Bugs correction
New in smib 0.33 (Jun 10, 2013)
- propositional logic : operators, truth table, tautology, antilogy
- 60 seconds in a minute, why ?
- on nonassociativity and Jacobi identity
New in smib 0.32 (May 8, 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 smib 0.31 (Mar 23, 2013)
- Stochastic differential equation in higher dimension;
- Partial differential equation simulation using stochastic differential equation;
- Some improvement in documentation.
New in smib 0.30 (Dec 10, 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 smib 0.29 (Nov 3, 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 smib 0.28 (Oct 1, 2012)
- some optimizations in generalized stochastic differential equation
- Mertens fonction
- new documentation
New in smib 0.27 (Jun 9, 2012)
- Quantum mechanic using smib
New in smib 0.25 (Apr 12, 2012)
- antiderivative v2 : new version of defint too,
- perfect number & harmonic mean of divisors,
- bug corrections.
New in smib 0.24 (Feb 19, 2012)
- rational fonction & decomposition
- antiderivative
- bug corrections
New in smib 0.23 (Dec 27, 2011)
- Some polynomial algebra :
- Bezout identity (extended greater divisor)
- squarefree factorization
- resultant
- discriminant
New in smib 0.21 (Sep 14, 2011)
- generalized stochastic differential equation (not only with brownian motion): mean and variance computation
- Stratonovitch stochastic integral with brownian motion
- bug correction.
New in smib 0.19 (Apr 26, 2011)
- Lagrange interpolation using Newton polynomials
- sample applied to quantile and median
New in smib 0.17 (Mar 9, 2011)
- Derivation of samples (integer & fractional)
- Bug correction.
New in smib 0.16 (Feb 8, 2011)
- Numerical application to special functions : Bessel functions, Hankel functions & Airy functions
- Some new example applied to differential geometry, probability & statistic.
New in smib 0.15 (Dec 3, 2010)
- tensor calculus finally documented
New in smib 0.14 (Dec 3, 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 smib 0.13 (Dec 3, 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 smib 0.12 (Dec 3, 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 smib 0.10 (Feb 8, 2010)
- Quickref in english, more number theory.