Maximum
 This page is about the primitive function. For system limits, see LIMIT ERROR and Maximum rank.
⌈

Maximum (⌈
), Max, Greater of, or Larger of is a dyadic scalar function which returns the larger of its two arguments. The name "Maximum" is sometimes also used for the Maximum Reduce ⌈/
, which returns the largest element of a vector (this usage is related to the maximum of a function). Maximum is paired with Minimum, and shares the glyph ⌈
with the Ceiling function. It is not subject to comparison tolerance, since the result will be exactly equal to one argument, and there is no reason to choose a smaller argument even if the two arguments are tolerantly equal. As a Boolean function, Maximum is identical to Or.
Examples
 See also Minimum#examples.
Maximum finds the larger of two numbers:
2.4 ⌈ 1.9
2.4
Maximum Reduce finds the largest element in a vector:
⌈/ 4 3 2 7 5 1 3
7
The index of this element can be found with Index Of, but is also the First element of the Grade Down of the vector.
{⍵⍳⌈/⍵} 4 3 2 7 5 1 3
4
⊃⍒ 4 3 2 7 5 1 3
4
Reducing over an empty axis yields the smallest representable number, as that is the identity element for Maximum. This value is usually ¯∞
(for dialects that support infinities) or ¯1.797693135E308
(with 64bit floats) or ¯1E6145
(with 128bit decimal floats).
External links
Documentation
APL builtins [edit]  

Primitive functions  
Scalar  
Monadic  Conjugate ∙ Negate ∙ Signum ∙ Not ∙ Roll ∙ Type  
Dyadic  Add ∙ Subtract ∙ Equal to (Xnor) ∙ Not Equal to (Xor) ∙ Minimum ∙ Maximum ∙ Comparison functions  
NonScalar  
Structural  Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Reverse ∙ Raze ∙ Mix ∙ Cut (K) ∙ Pair ∙ Replicate ∙ Partitioned Enclose  
Selection  Take ∙ Drop ∙ Unique ∙ Identity ∙ Select  
Selector  Index generator ∙ Interval Index ∙ Indices  
Computational  Match ∙ Not Match ∙ Nub Sieve ∙ Format ∙ Execute  
Primitive operators  Monadic  Each ∙ Replicate  
Dyadic  Reverse Compose  
Quad names  
Arrays  Index origin ∙ Migration level  
Functions  
Operators  
Other  Zilde ∙ High minus ∙ Function axis 