Is the Problem Well-Posed? (Mathematica Tutorial)

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

Casoratian (Built-in Mathematica Symbol)

Casoratian[{y_1, y_2, ...}, n] gives the Casoratian determinant for the sequences y_1, y_2, ... depending on n.Casoratian[eqn, y, n] gives the Casoratian determinant for the ...

Plot Diagnostics for Fitted Models (Mathematica How To)

Diagnostics are an important part of analyzing models of data. Plots of residuals and leverage or influence measures provide valuable insight into whether assumptions of the ...

Termination Conditions (Mathematica Tutorial)

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 ...

Apart (Built-in Mathematica Symbol)

Apart[expr] rewrites a rational expression as a sum of terms with minimal denominators. Apart[expr, var] treats all variables other than var as constants.

ApartSquareFree (Built-in Mathematica Symbol)

ApartSquareFree[expr] rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials. ApartSquareFree[expr, var] treats all ...

Cancel (Built-in Mathematica Symbol)

Cancel[expr] cancels out common factors in the numerator and denominator of expr.

ContourStyle (Built-in Mathematica Symbol)

ContourStyle is an option for contour plots that specifies the style in which contour lines or surfaces should be drawn.

ExpandDenominator (Built-in Mathematica Symbol)

ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.

Simplify (Built-in Mathematica Symbol)

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...