Mathematica can plot parametric functions in both two and three dimensions. Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point ...

 

The ability to define and use your own functions is part of what gives Mathematica such power. It is often inconvenient to have to explicitly name a function for every small ...

When you make a function definition using :=, the value of the function is recomputed every time you ask for it. In some kinds of calculations, you may end up asking for the ...

If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

Naming Conventions Generic and Nongeneric Cases Numerical Functions

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...

 

The systems of equations that govern certain phenomena (in electrical circuits, chemical kinetics, etc.) contain a combination of differential equations and algebraic ...