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 ...

Modules and Local Variables (Mathematica Tutorial)

Mathematica normally assumes that all your variables are global. This means that every time you use a name like x, Mathematica normally assumes that you are referring to the ...

Options for Expression Input and Output (Mathematica Tutorial)

Options associated with the interactive entering of expressions. The option SingleLetterItalics is typically set whenever a cell uses TraditionalForm. Here is an expression ...

Perform a Monte Carlo Simulation (Mathematica How To)

Monte Carlo methods use randomly generated numbers or events to simulate random processes and estimate complicated results. For example, they are used to model financial ...

Animator (Built-in Mathematica Symbol)

Animator[u] represents an object that displays with the value of u being continually increased from 0 to 1 with time. Animator[u, {u_min, u_max}] makes u vary from u_min to ...

Fit (Built-in Mathematica Symbol)

Fit[data, funs, vars] finds a least-squares fit to a list of data as a linear combination of the functions funs of variables vars.

MenuView (Built-in Mathematica Symbol)

MenuView[{lbl_1 -> expr_1, lbl_2 -> expr_2, ...}] represents an object in which selecting the menu item with label lbl_i displays expr_i. MenuView[{lbl_1 -> expr_1, lbl_2 -> ...

Rasterize (Built-in Mathematica Symbol)

Rasterize[g] returns a rasterized graphic of g. Rasterize[g, elem] gives the element elem associated with the rasterized form of g.

Examples of DAEs (Mathematica Tutorial)

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...