Name | Modified | Size | Downloads / Week |
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Parent folder | |||
smib-0.42.zip | 2017-04-24 | 4.0 MB | |
smib-latex.pdf | 2017-04-24 | 487.9 kB | |
smib-latex | 2017-04-24 | 6.9 kB | |
quickref.pdf | 2017-04-24 | 2.3 MB | |
README | 2017-04-24 | 5.4 kB | |
Totals: 5 Items | 6.7 MB | 0 |
In this version : - LaTeX file generator : - table of contents - table of figures - better latexify function V 0.41 : - LaTeX file generator : - better latexify function - some new examples V 0.40 : - LaTeX file generator - antider : some new integrals handled using new simplification procedure - integral fuction - exponential - logarithm - sinus - cosinus V 0.39 : - Functions of matrix : Kronecker sum & product, some applications dealing with commutator or anticommutator - antider : some new integrals handled - Laplace transform (& inverse) : basic version V 0.38 : - 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) V 0.37 : - odesolve : automatic computation of particular solution, when it is possible. - antider : some new integrals handled - Sylvester matrix and new computation for resultant - PDE simulation : bug correction - limit : bug correction V 0.36 : - PDE simulation using SDE and Feynman-Kac formula : 1D & 2D - Graph : number of connected components - Weyl sum : some plottings - Bugs correction V 0.35 : - partial differential equation simulation using stochastic differential equation and Feynman-Kac formula V 0.34 : - Differential operators in orthogonal system of coordinates - Gosper algorithm : antidifference - antiderivative : new version - bugs correction V 0.33 : - propositional logic : operators, truth table, tautology, antilogy - 60 seconds in a minute, why ? - on nonassociativity and Jacobi identity V 0.32 : - What can we do with euclidean division of polynomial : * GCD * polynomial equations * modular inversion * chinese remainder theorem - Factorization, field of rational function. V 0.31 : - stochastic differential equation in higher dimension - partial differential equation simulation using stochastic differential equation - some improvement in documentation. V 0.30 : - 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 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.