GUIResolve (GUIKit Package Symbol)

GUIResolve[src] resolves an interface definition to its top-level completely loaded widget and enclosing widgets.GUIResolve[src, args] passes arguments to the interface ...

Overview of Ordinary Differential ... (Mathematica Tutorial)

There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four areas, the study of exact solutions ...

SQLExecute (DatabaseLink Tutorial)

SQLExecute allows SQL statements to be executed. Statements can be used to select data, create tables, insert data, update data, remove data, and drop tables. The statement ...

KarhunenLoeveDecomposition (Built-in Mathematica Symbol)

KarhunenLoeveDecomposition[{a_1, a_2, ...}] gives the Karhunen\[Dash]Loeve transform {b_1, b_2, ...} of the numerical arrays {a_1, a_2, ...} and the transformation matrix m, ...

KalmanEstimator (Built-in Mathematica Symbol)

KalmanEstimator[ss, {w, v}] constructs the Kalman estimator for the StateSpaceModel object ss with process and measurement noise covariance matrices w and v. ...

DiscreteLQEstimatorGains (Built-in Mathematica Symbol)

DiscreteLQEstimatorGains[ss, {w, v}, \[Tau]] gives the optimal discrete-time estimator gain matrix with sampling period \[Tau] for the continuous-time StateSpaceModel object ...

TransferFunctionCancel (Built-in Mathematica Symbol)

TransferFunctionCancel[tf] cancels common poles and zeros in the TransferFunctionModel object tf.TransferFunctionCancel[tf, crit] cancels only common pole-zero pairs e_i for ...

Nonlinear IVPs and BVPs (Mathematica Tutorial)

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

How Modules Work (Mathematica Tutorial)

The way modules work in Mathematica is basically very simple. Every time any module is used, a new symbol is created to represent each of its local variables. The new symbol ...

Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...