LUDecomposition (Built-in Mathematica Symbol)

LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.

Multinomial (Built-in Mathematica Symbol)

Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).

NyquistGridLines (Built-in Mathematica Symbol)

NyquistGridLines is an option to NyquistPlot that specifies contours of constant magnitude and phase of a closed-loop system.

PadLeft (Built-in Mathematica Symbol)

PadLeft[list, n] makes a list of length n by padding list with zeros on the left. PadLeft[list, n, x] pads by repeating the element x. PadLeft[list, n, {x_1, x_2, ...}] pads ...

PadRight (Built-in Mathematica Symbol)

PadRight[list, n] makes a list of length n by padding list with zeros on the right. PadRight[list, n, x] pads by repeating the element x. PadRight[list, n, {x_1, x_2, ...}] ...

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 ...

TransferFunctionPoles (Built-in Mathematica Symbol)

TransferFunctionPoles[tf] gives a matrix of roots of the denominators in the TransferFunctionModel object tf.

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

Numerical Methods for Solving the ... (Mathematica Tutorial)

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

Your First Mathematica Calculations (Mathematica Tutorial)

Type 2+2 and then press Shift+Enter (hold down the Shift key and press Enter) to tell Mathematica to evaluate your input. Note that labels are added automatically, and output ...