Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Mathematica allows any front end command to be executed programmatically from within the kernel by sending an appropriate front end token. There are tokens for all standard ...

RandomChoice[{e_1, e_2, ...}] gives a pseudorandom choice of one of the e_i. RandomChoice[list, n] gives a list of n pseudorandom choices. RandomChoice[list, {n_1, n_2, ...}] ...

Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied ...

When many rows of data are returned from a database query, a significant amount of memory may be required to hold the result. If all of the data does not need to be available ...

Finding elements that match a pattern. This gives the elements of the list which match the pattern x^_. Here is the total number of elements which match the pattern.

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

Unicode: 2043. Uninterpretable element. ⁃ name ⁃ is used on output to indicate an expression that has head name, but whose arguments will not explicitly be given. ...