Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

Elementary transcendental functions. Mathematica gives exact results for logarithms whenever it can. Here is log_21024. You can find the numerical values of mathematical ...

When you write down a set of simultaneous equations in Mathematica, you are specifying a collection of constraints between variables. When you use Solve, you are finding ...

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...

If the Mathematica client cannot get a license from MathLM, you are given the option of entering a single-machine password. When using a single-machine password, Mathematica ...

Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.

Ways to enter Greek letters in a notebook. Here is a palette for entering common Greek letters. You can use Greek letters just like the ordinary letters that you type on your ...

Mathematica's notebook interface is a very powerful typesetting system that allows you to enter formulas as they are written in mathematical literature, using two-dimensional ...

The Mathematica front end provides an Insert > Table/Matrix submenu for creating and editing arrays with any specified number of rows and columns. Once you have such an ...

When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...