DiscreteLQRegulatorGains (Built-in Mathematica Symbol)

DiscreteLQRegulatorGains[ss, {q, r}, \[Tau]] gives the optimal discrete-time state feedback gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel ...

PositiveDefiniteMatrixQ (Built-in Mathematica Symbol)

PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.

Rectangle (Built-in Mathematica Symbol)

Rectangle[{x_min, y_min}, {x_max, y_max}] is a two-dimensional graphics primitive that represents a filled rectangle, oriented parallel to the axes. Rectangle[{x_min, y_min}] ...

SetSharedVariable (Built-in Mathematica Symbol)

SetSharedVariable[s_1, s_2, ...] declares the symbols s_i as shared variables whose values are synchronized among all parallel kernels.

StringCases (Built-in Mathematica Symbol)

StringCases["string", patt] gives a list of the substrings in " string" that match the string expression patt. StringCases["string", lhs -> rhs] gives a list of the values of ...

StringExpression (Built-in Mathematica Symbol)

s_1 ~~ s_2 ~~ ... or StringExpression[s_1, s_2, ...] represents a sequence of strings and symbolic string objects s_i.

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

Reshaping Graphics Objects (Mathematica Tutorial)

In this tutorial, the following topics are discussed: The following sequence explains how to use the Reshape tool ( GraphicsBox[RasterBox[CompressedData[ ], {Offset[{0.5, ...

Mathematica Internet Connectivity (Mathematica Tutorial)

Mathematica provides important functionality through accessing the internet. Most Mathematica functions that provide computable data operate by loading data over the ...

DoubleStep Method for NDSolve (Mathematica Tutorial)

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...