Subscript (Built-in Mathematica Symbol)

Subscript[x, y] is an object that formats as x_y. Subscript[x, y_1, y_2, ...] formats as x Subscript[y, 1], Subscript[y, 2], ....

Applying Functions to Parts of ... (Mathematica Tutorial)

If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

Expressions as Trees (Mathematica Tutorial)

Here is an expression in full form. TreeForm prints out expressions to show their "tree" structure. You can think of any Mathematica expression as a tree. In the expression ...

Testing and Searching List Elements (Mathematica Tutorial)

Testing and searching for elements of lists. "Getting Pieces of Lists" discusses how to extract pieces of lists based on their positions or indices. Mathematica also has ...

Principal Axis Method (Mathematica Tutorial)

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

NeighborhoodVertices (Graph Utilities Package Symbol)

NeighborhoodVertices[g, i, r] gives vertices that can be reached from vertex i within r hops.NeighborhoodVertices[g, i] gives vertices that can be reached from vertex i.

Vector Analysis Package (Vector Analysis Package Guide)

Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to ...

JacobianDeterminant (Vector Analysis Package Symbol)

JacobianDeterminant[pt] gives the determinant of the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point ...

MAT (Mathematica Import/Export Format)

MATLAB MAT-files. Matrix data format. Native data format of the MATLAB numerical computation software. Stores numerical matrices, Boolean values, or strings. Binary format. ...

ControllabilityGramian (Built-in Mathematica Symbol)

ControllabilityGramian[ss] gives the controllability Gramian of the StateSpaceModel object ss.