The standard way in which Mathematica works is to take any expression you give as input, evaluate the expression completely, and then return the result. When you are trying ...

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

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 ...

SQLSelect selects and returns data from a database. An alternative, using raw SQL, is described in "Selecting Data with Raw SQL". If you find that the examples in this ...

"Calling .NET from Mathematica" describes using .NET/Link to allow you to call from Mathematica into .NET, thereby extending the Mathematica environment to include the ...

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

LocationTest[data] tests whether the mean or median of the data is zero. LocationTest[{data_1, data_2}] tests whether the means or medians of data_1 and data_2 are ...

Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...