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Numerical Differential Equation ...   (Numerical Differential Equation Analysis Package Guide)
 
Constructing Matrices   (Mathematica Guide)
Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...
Sparse Arrays   (Mathematica Guide)
Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...
QuadraticFormDistribution   (Multivariate Statistics Package Symbol)
QuadraticFormDistribution[{a, b, c}, {\[Mu], \[CapitalSigma]}] represents the distribution of a quadratic form z.a.z + b.z + c for multivariate normal z.
PositiveDefiniteMatrixQ   (Built-in Mathematica Symbol)
PositiveDefiniteMatrixQ[m] tests whether m is a positive definite matrix.
LQEstimatorGains   (Built-in Mathematica Symbol)
LQEstimatorGains[ss, {w, v}] gives the optimal estimator gain matrix for the StateSpaceModel object ss with process and measurement noise covariance matrices w and ...
Use Rule Solutions   (Mathematica How To)
Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...
Numerical Differential Equation ...   (Numerical Differential Equation Analysis Package Tutorial)
The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...
Polynomial Systems   (Mathematica Guide)
Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...
ToRules   (Built-in Mathematica Symbol)
ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.
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