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 ...

MinimalStateSpaceModel[ss] gives the minimal state-space model of the StateSpaceModel object ss.

PathGraph[{v_1, v_2, ...}] yields a path with vertices v_i and edges between v_i and v i +\[ThinSpace]1 .PathGraph[{e_1, e_2, ...}] yields a path with edges ...

Unicode: 2AE4. Infix operator. x ⫤ y is by default interpreted as DoubleLeftTee[x,y]. x ⫤ y ⫤ z groups as (x ⫤ y) ⫤ z. Used in mathematics to indicate various strong forms of ...

Unicode: 2294. Infix operator. x ⊔ y is by default interpreted as SquareUnion[x,y]. Used in mathematics to denote various forms of generalized union, typically of disjoint ...

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

GraphDistanceMatrix[g] gives the matrix of distances between vertices for the graph g.GraphDistanceMatrix[g, d] gives the matrix of distances between vertices of maximal ...

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

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 ...

Axes is an option for graphics functions that specifies whether axes should be drawn.