gusucode.com > symbolic工具箱matlab源码程序 > symbolic/Contents.m
% Symbolic Math Toolbox
% Version 7.1 (R2016b) 25-Aug-2016
%
% Calculus.
% diff - Differentiate.
% int - Integrate.
% limit - Limit.
% poles - Poles of a function.
% taylor - Taylor series.
% symsum - Summation of series.
% symprod - Product of series.
%
% Linear Algebra.
% adjoint - Adjoint matrix.
% diag - Create or extract diagonals.
% toeplitz - Toeplitz matrix.
% triu - Upper triangle.
% tril - Lower triangle.
% inv - Matrix inverse.
% det - Determinant.
% rank - Rank.
% rref - Reduced row echelon form.
% null - Basis for null space.
% colspace - Basis for column space.
% eig - Eigenvalues and eigenvectors.
% chol - Cholesky factorization.
% lu - lu factorization.
% pinv - Pseudo inverse.
% sqrtm - Matrix square root.
% svd - Singular values and singular vectors.
% jordan - Jordan canonical (normal) form.
% poly - Characteristic polynomial.
% expm - Matrix exponential.
% mldivide - \ matrix left division.
% mpower - ^ matrix power.
% mrdivide - / matrix right division.
% mtimes - * matrix multiplication.
% orth - Orthogonalization.
% transpose - .' matrix transpose.
% ctranspose - ' matrix complex conjugate transpose.
% hessian - Hessian matrix of scalar function.
% gradient - Gradient vector of scalar function.
% jacobian - Jacobian matrix.
% laplacian - Laplacian of scalar function.
% potential - Potential of vector field.
% vectorPotential - Vector potential of vector field.
%
% Simplification.
% simplify - Simplify.
% expand - Expand.
% factor - Factor.
% collect - Collect.
% numden - Numerator and denominator.
% horner - Nested polynomial representation.
% subexpr - Rewrite in terms of subexpressions.
% coeffs - Coefficients of a multivariate polynomial.
% sort - Sort symbolic vectors or polynomials.
% subs - Symbolic substitution.
% simplifyFraction - Symbolic simplification of fractions.
%
%
% Solution of Equations.
% equationsToMatrix - Convert a linear system of equations to the matrix form.
% linsolve - Solve linear systems of equations.
% solve - Symbolic solution of algebraic equations.
% dsolve - Symbolic solution of differential equations.
% finverse - Functional inverse.
% compose - Functional composition.
% odeToVectorField - Convert higher-order ODEs to systems of first-order ODEs.
% vpasolve - Numerical solution of algebraic equations.
%
% Variable Precision Arithmetic.
% vpa - Variable precision arithmetic.
% digits - Set variable precision accuracy.
%
% Integral Transforms.
% fourier - Fourier transform.
% laplace - Laplace transform.
% ztrans - Z transform.
% ifourier - Inverse Fourier transform.
% ilaplace - Inverse Laplace transform.
% iztrans - Inverse Z transform.
%
% Conversions.
% double - Convert symbolic matrix to double.
% single - Convert symbolic matrix to single precision.
% poly2sym - Coefficient vector to symbolic polynomial.
% sym2poly - Symbolic polynomial to coefficient vector.
% char - Convert sym object to string.
% int8 - Convert to signed 8-bit integers.
% int16 - Convert to signed 16-bit integers.
% int32 - Convert to signed 32-bit integers.
% int64 - Convert to signed 64-bit integers.
% uint8 - Convert to unsigned 8-bit integers.
% uint16 - Convert to unsigned 16-bit integers.
% uint32 - Convert to unsigned 32-bit integers.
% uint64 - Convert to unsigned 64-bit integers.
%
% Symbolic Operations.
% sym - Create symbolic object.
% syms - Short-cut for constructing symbolic objects.
% symvar - Determine symbolic variables.
% pretty - Pretty print a symbolic expression.
% latex - LaTeX representation of a symbolic expression.
% texlabel - Produces the TeX format from a character string.
% ccode - C code representation of a symbolic expression.
% fortran - FORTRAN representation of a symbolic expression.
% matlabFunction - Generate a MATLAB function from a symbolic expression.
% matlabFunctionBlock - Generate a MATLAB Function Simulink block.
%
% Arithmetic and Algebraic Operations.
% plus - + addition.
% minus - - subtraction.
% uminus - - negation.
% times - .* array multiplication.
% ldivide - \ left division.
% rdivide - / right division.
% power - .^ array power.
% abs - Absolute value.
% ceil - Ceiling.
% conj - Conjugate.
% colon - Colon operator.
% fix - Integer part.
% floor - Floor.
% frac - Fractional part.
% mod - Mod.
% round - Round.
% quorem - Quotient and remainder.
% imag - Imaginary part.
% real - real part.
% exp - Exponential.
% log - Natural logarithm.
% log10 - Common logarithm.
% log2 - Base-2 logarithm.
% sqrt - Square root.
% prod - Product of the elements.
% sum - Sum of the elements.
% symsum - Symbolic sum of elements.
% symprod - Symbolic product of elements.
%
% Logical Operations.
% isreal - True for real array.
% eq - Equality test.
% ne - Inequality test.
%
% Special Functions.
% airy - Airy function.
% angle - Symbolic polar angle.
% atan2 - Symbolic four quadrant inverse tangent.
% besseli - Bessel function, I.
% besselj - Bessel function, J.
% besselk - Bessel function, K.
% bessely - Bessel function, Y.
% beta - Beta function.
% dirac - Delta function.
% ei - One argument exponential integral function.
% expint - Exponential integral function.
% erf - Error function.
% erfc - Complementary error function.
% erfi - Imaginary error function.
% erfinv - Inverse error function.
% erfcinv - Inverse complementary error function.
% factorial - Factorial function.
% nchoosek - Binomial coefficient.
% heaviside - Step function.
% hypergeom - Generalized hypergeometric function.
% lambertw - Lambert W function.
% sinint - Sine integral.
% cosint - Cosine integral.
% gamma - Symbolic gamma function.
% gcd - Greatest common divisor.
% lcm - Least common multiple.
% psi - Digamma/polygamma function
% rectangularPulse - Rectangular pulse function.
% triangularPulse - Triangular pulse function.
% sign - Sign function.
% whittakerM - Whittaker M function.
% whittakerW - Whittaker W function.
% wrightOmega - Wright Omega function.
% zeta - Riemann zeta function.
%
% Trigonometric Functions.
%
% acos - Inverse cosine.
% acosh - Inverse hyperbolic cosine.
% acot - Inverse cotangent.
% acoth - Inverse hyperbolic cotangent.
% acsc - Inverse cosecant.
% acsch - Inverse hyperbolic cosecant.
% asec - Inverse secant.
% asech - Inverse hyperbolic secant.
% asin - Inverse sine.
% asinh - Inverse hyperbolic sine.
% atan - Inverse tangent.
% atanh - Inverse hyperbolic tangent.
% cos - Cosine function.
% cosh - Hyperbolic cosine.
% cot - Cotangent.
% coth - Hyperbolic cotangent.
% csc - Cosecant.
% csch - Hyperbolic cosecant.
% sec - Secant.
% sech - Hyperbolic secant.
% sin - Sine function.
% sinh - Hyperbolic sine.
% tan - Tangent function.
% tanh - Hyperbolic tangent.
%
% String handling utilities.
% isvarname - Check for a valid variable name (MATLAB Toolbox).
% vectorize - Vectorize a symbolic expression.
% disp - Displays a sym as text.
% display - Display function for syms.
% eval - Evaluate a symbolic expression.
%
% Pedagogical and Graphical Applications.
% rsums - Riemann sums.
% ezcontour - Easy to use contour plotter.
% ezcontourf - Easy to use filled contour plotter.
% ezmesh - Easy to use mesh (surface) plotter.
% ezmeshc - Easy to use combined mesh/contour plotter.
% ezplot - Easy to use function, implicit, and parametric curve plotter.
% ezplot3 - Easy to use spatial curve plotter.
% ezpolar - Easy to use polar coordinates plotter.
% ezsurf - Easy to use surface plotter.
% ezsurfc - Easy to use combined surface/contour plotter.
% funtool - Function calculator.
% taylortool - Taylor series calculator.
%
% Demonstrations.
% symlindemo - Demonstrate symbolic linear algebra.
%
% Access to MuPAD.
% mupadwelcome - MuPAD welcome screen.
% mupad - Start MuPAD notebook interface.
% getVar - Get a variable from a MuPAD notebook.
% setVar - Set a variable in a MuPAD notebook.
% symengine - Interface to the MuPAD engine for sym objects.
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