16.4.2.2 Logical Functions

Matrix Function: ALL ( M)

Returns a scalar with value 1 if all of the elements in M are nonzero, or 0 if at least one element is zero.

ALL({1, 2, 3} < {2, 3, 4}) ⇒ 1
ALL({2, 2, 3} < {2, 3, 4}) ⇒ 0
ALL({2, 3, 3} < {2, 3, 4}) ⇒ 0
ALL({2, 3, 4} < {2, 3, 4}) ⇒ 0

Matrix Function: ANY ( M)

Returns a scalar with value 1 if any of the elements in M is nonzero, or 0 if all of them are zero.

ANY({1, 2, 3} < {2, 3, 4}) ⇒ 1
ANY({2, 2, 3} < {2, 3, 4}) ⇒ 1
ANY({2, 3, 3} < {2, 3, 4}) ⇒ 1
ANY({2, 3, 4} < {2, 3, 4}) ⇒ 0