Derivatives of Unknown Functions (Mathematica Tutorial)

Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

Manipulating Lists by Their Indices (Mathematica Tutorial)

Getting parts of lists. This gives a list of parts 1 and 3. Here is a nested list.

BernsteinBasis (Built-in Mathematica Symbol)

BernsteinBasis[d, n, x] represents the n\[Null]^th Bernstein basis function of degree d at x.

Accumulate (Built-in Mathematica Symbol)

Accumulate[list] gives a list of the successive accumulated totals of elements in list.

FindPermutation (Built-in Mathematica Symbol)

FindPermutation[expr] gives a permutation that produces expr by permuting Sort[expr].FindPermutation[expr 1, expr 2] gives a permutation that converts expr_1 to expr_2 for ...

Pick (Built-in Mathematica Symbol)

Pick[list, sel] picks out those elements of list for which the corresponding element of sel is True. Pick[list, sel, patt] picks out those elements of list for which the ...

Through (Built-in Mathematica Symbol)

Through[p[f_1, f_2][x]] gives p[f_1[x], f_2[x]]. Through[expr, h] performs the transformation wherever h occurs in the head of expr.

ColumnSpacings (Built-in Mathematica Symbol)

ColumnSpacings is an option for the low-level function GridBox which specifies the spaces in ems that should be inserted between adjacent columns.

RowSpacings (Built-in Mathematica Symbol)

RowSpacings is an option for the low-level function GridBox that specifies the spaces in x heights that should be inserted between successive rows.

Rearranging Nested Lists (Mathematica Tutorial)

You will encounter nested lists if you use matrices or generate multidimensional arrays and tables. Mathematica provides many functions for handling such lists. A few ...