GaussianQuadratureError[n, f, a, b] gives the leading term in the error of the elementary n-point Gaussian quadrature formula for the function f on an interval from a to ...

Scan[f, expr] evaluates f applied to each element of expr in turn. Scan[f, expr, levelspec] applies f to parts of expr specified by levelspec.

Mathematica represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating ...

Mathematica incorporates the latest algorithms—some original to Wolfram Research—for evaluating mathematical constants to any number of digits of precision. For basic ...

Built on powerful and elegant long-standing principles, the core Mathematica language has been gradually enhanced under tight control over its twenty-year history. Version ...

On[symbol::tag] switches on a message, so that it can be printed. On["name"] switches on a named group of messages.On[s] switches on tracing for the symbol s. On[m_1, m_2, ...

MapAt[f, expr, n] applies f to the element at position n in expr. If n is negative, the position is counted from the end. MapAt[f, expr, {i, j, ...}] applies f to the part of ...

Clear[symbol_1, symbol_2, ...] clears values and definitions for the symbol_i. Clear["form_1", "form_2", ...] clears values and definitions for all symbols whose names match ...

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

Converting between numbers and lists or strings of digits. Here is the list of base 16 digits for an integer. This gives a list of digits, together with the number of digits ...