ToBoxes[expr] generates boxes corresponding to the printed form of expr in StandardForm. ToBoxes[expr, form] gives the boxes corresponding to output in the specified form.

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

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.

Converting between strings, boxes, and expressions. Here is a simple expression. This gives the InputForm of the expression as a string.

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

In order to write the most general Mathematica programs you will sometimes need to find out global information about the setup under which your program is being run. Thus, ...

Pure functions. When you use functional operations such as Nest and Map, you always have to specify a function to apply. In all the examples above, we have used the "name" of ...

Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...