min, mins, mmin

Minimum/s

min

Minimum

min x     min[x]

Where x is a non-symbol sortable list, returns its minimum. The minimum of an atom is itself.

Nulls are ignored, except that if the argument has only nulls, the result is infinity.

q)min 2 5 7 1 3
1
q)min "genie"
"e"
q)min 0N 5 0N 1 3                  / nulls are ignored
1
q)min 0N 0N                        / infinity if all null
0W
q)select min price by sym from t   / use in a select statement

min is an aggregate function, equivalent to &/.

mins

Minimums

mins x     mins[x]

Where x is a non-symbol sortable list, returns the running minimums of the prefixes.

Nulls are ignored, except that initial nulls are returned as infinity.

q)mins 2 5 7 1 3
2 2 2 1 1
q)mins "genie"
"geeee"
q)mins 0N 5 0N 1 3         / initial nulls return infinity
0W 5 5 1 1

mins is a uniform function, equivalent to &\.

mmin

Moving minimums

x mmin y     mmin[x;y]

Where y is a non-symbol sortable list and x is a

• positive int atom, returns the x-item moving minimums of y, with nulls treated as the minimum value; the first x items of the result are the minimums of the terms so far, and thereafter the result is the moving minimum
• 0 or a negative int, returns y

q)3 mmin 0N -3 -2 1 -0W 0
0N 0N 0N -3 -0W -0W
q)3 mmin 0N -3 -2 1 0N -0W    / null is the minimum value
0N 0N 0N -3 0N 0N

mmin is a uniform function.

Sliding windows

Domain and range

min and mins

domain: b g x h i j e f c s p m d z n u v t
range:  b . x h i j e f c . p m d z n u v t

mmin

    b g x h i j e f c s p m d z n u v t
----------------------------------------
b | b g x h i j e f c s p m d z n u v t
g | . . . . . . . . . . . . . . . . . .
x | b g x h i j e f c s p m d z n u v t
h | b g x h i j e f c s p m d z n u v t
i | b g x h i j e f c s p m d z n u v t
j | b g x h i j e f c s p m d z n u v t
e | . . . . . . . . . . . . . . . . . .
f | . . . . . . . . . . . . . . . . . .
c | . . . . . . . . . . . . . . . . . .
s | . . . . . . . . . . . . . . . . . .
p | . . . . . . . . . . . . . . . . . .
m | . . . . . . . . . . . . . . . . . .
d | . . . . . . . . . . . . . . . . . .
z | . . . . . . . . . . . . . . . . . .
n | . . . . . . . . . . . . . . . . . .
u | . . . . . . . . . . . . . . . . . .
v | . . . . . . . . . . . . . . . . . .
t | . . . . . . . . . . . . . . . . . .

Range: bcdefghijmnpstuvxz

Implicit iteration

min, mins, and mmin apply to dictionaries and tables.

q)k:`k xkey update k:`abc`def`ghi from t:flip d:`a`b!(10 21 3;4 5 6)

q)min d
4 5 3
q)min t
a| 3
b| 4
q)min k
a| 3
b| 4

q)mins t
a  b
----
10 4
10 4
3  4

q)2 mmin k
k  | a  b
---| ----
abc| 10 4
def| 10 4
ghi| 3  5

Aggregating nulls

avg, min, max and sum are special: they ignore nulls, in order to be similar to SQL92. But for nested x these functions preserve the nulls.

q)min (1 2;0N 4)
0N 2

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max, maxs, mmax
Mathematics