- Usage:
`x/f``f\x`

- Operator: /
- Inputs:
`x`, a visible list, a list, a sequence, an array, a tally, or a set`f`, a function, a command, a self initializing type, or a ring map

- Outputs:
- a visible list, the list, tally, or set obtained by applying
`f`to each element of`x`; it has the same type as`x`has

- a visible list, the list, tally, or set obtained by applying

The function apply does the same thing.

The operator / is left associative, which means that `w / f / g` is interpreted as `(w / f) / g`. The operator \ is right associative, so `g \ f \ w` is interpreted as `g \ (f \ w)`. Both operators have parsing precedence lower than that of @@, which means that the previous two expressions are equivalent to `w / g @@ f` and `g @@ f \ w`, respectively. See precedence of operators.

i1 : f = x -> x+1 o1 = f o1 : FunctionClosure |

i2 : g = x -> 2*x o2 = g o2 : FunctionClosure |

i3 : g \ (1 .. 10) o3 = (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) o3 : Sequence |

i4 : (1 .. 10) / g o4 = (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) o4 : Sequence |

i5 : f \ g \ (1 .. 10) o5 = (3, 5, 7, 9, 11, 13, 15, 17, 19, 21) o5 : Sequence |

i6 : f @@ g \ (1 .. 10) o6 = (3, 5, 7, 9, 11, 13, 15, 17, 19, 21) o6 : Sequence |

i7 : set (1 .. 10) o7 = set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} o7 : Set |

i8 : g \ oo o8 = set {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} o8 : Set |

i9 : R = QQ[x]; |

i10 : f = map(R,R,{x^2}) 2 o10 = map(R,R,{x }) o10 : RingMap R <--- R |

i11 : f \ {x,x^2,x^3,x^4} 2 4 6 8 o11 = {x , x , x , x } o11 : List |

/home/dan/src/M2/M2/Macaulay2/m2/classes.m2:51:49-51:60: --source code: VisibleList / Function := VisibleList => (v,f) -> apply(v,f)