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CompositionThrough

Operate

FilledSmallSquareOperate[p, f[x, y]] gives p[f][x, y].

FilledSmallSquareOperate[p, expr, n] applies p at level n in the head of expr.

FilledSmallSquare Examples: Operate[p, f[x,y]] LongRightArrow; Operate[p, f[x][y][z], 1] LongRightArrow; Operate[p, f[x][y][z], 2] LongRightArrow.

FilledSmallSquareOperate[p, f[x]] effectively applies the functional operator p to the function f.

FilledSmallSquareOperate is essentially a generalization of Apply, which allows you to apply an operator to the head of an expression, rather than simply to replace the head.

FilledSmallSquare See The Mathematica Book: Section 2.2.9.

FilledSmallSquare See also: Through, Apply, Heads.

Further Examples

CompositionThrough