Classification of Differential Equations (Mathematica Tutorial)

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

BooleanCountingFunction (Built-in Mathematica Symbol)

BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...

TrigReduce (Built-in Mathematica Symbol)

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.

WaveletThreshold (Built-in Mathematica Symbol)

WaveletThreshold[dwd] thresholds the detail wavelet coefficients in the DiscreteWaveletData object dwd.WaveletThreshold[dwd, tspec] thresholds the coefficients using the ...

Associating Definitions with Different ... (Mathematica Tutorial)

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

Sech (Built-in Mathematica Symbol)

Sech[z] gives the hyperbolic secant of z.

TransferFunctionExpand (Built-in Mathematica Symbol)

TransferFunctionExpand[tf] expands polynomial terms in the numerators and denominators of the TransferFunctionModel object tf.

Numerical Evaluation of Sums and ... (Mathematica Tutorial)

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

Padé Approximation (Mathematica Tutorial)

The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...