StreamDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

This gives a result for the integral of x^n that is valid for almost all values of n. For the special case of x^-1, however, the correct result is different. The overall goal ...

To run Mathematica using a network license, both the client machine and the license server must be on the network and MathLM must be running. If you do not have a MathLM ...

The library now fully supports the Unicode character encoding forms UTF-8, UTF-16, and UTF-32. Use the following new API functions to put or get Unicode characters to or from ...

Relational operators. This tests whether 10 is less than 7. The result is False. Not all of these numbers are unequal, so this gives False.

MathLink allows you to call an external program from within Mathematica even when that program is running on a remote computer. Typically, you need to start the program ...

Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.

Mathematica's ability to deal with symbolic expressions, as well as numbers, allows you to use it for many kinds of mathematics. Calculus is one example. With Mathematica, ...

Mathematica is a modular software system in which the kernel which actually performs computations is separate from the front end which handles interaction with the user. The ...