If you use the notebook front end for Mathematica, then you can enter some of the operations discussed here in special ways. Special and ordinary ways to enter mathematical ...

Do Basic Calculations Do Constrained Nonlinear Optimization Control the Precision and Accuracy of Numerical Results

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...

Mathematica allows you to define transformation rules for any expression. You can define such rules not only for functions that you add to Mathematica, but also for intrinsic ...

When installing MathLM and Mathematica on a Linux system, you may need to mount the CD or DVD. Mathematica is available for Linux on DVD. MathLM is available for Linux ...

Particularly when you use transformation rules, you often need to name pieces of patterns. An object like x_ stands for any expression, but gives the expression the name x. ...

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

If you enter text in languages other than English, you will typically need to use various additional accented and other characters. If your computer system is set up in an ...

Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...