min

Finds the smallest of all real numbers in a container or in a sequence.

Syntax

• min(a, b)

  • a is a real number

  • b is a real number

• min(X)

  • X is a vector, matrix, list, set, or structure

• min(expr, var, a, b)

  • expr is an expression in one variable var

  • var is the variable in expr

  • a is the lower bound

  • b is the upper bound

Description

The smallest of two numbers

If a and b are real numbers, then min(a, b) is the smallest of them.

Finding the smallest number in a container

• If v is a real vector, then min(v) is the smallest component of v.

• If A is a real matrix, then min(A) is the smallest entry of A.

• If L is a non-empty list of real numbers, then min(L) is the smallest of the elements of L.

• If S is a non-empty set of real numbers, then min(S) is the smallest of the elements of S.

• If S is a structure containing real numbers, then min(S) is the smallest of the numbers in S.

Finding the smallest number in a sequence

min(expr, var, a, b) is the smallest value of expr as var takes all integer values from a to b, inclusively. expr must return a real value for every value of var in [a, b] ∩ ℤ. The number of elements in the sequence, b − a + 1, must be at least 1.

Examples

The smallest of two numbers

f ≔ x ↦ 5⋅min(x, 2)

custom function

Finding the smallest number in a container

min('(10/51, 49/256, 5/27, 6/29, 3/14, 24/121))

0.185185185185	(=5/27)

min(RandomVector(100))

0.00970940268598

min(RandomIntMatrix(100, 100, 1000000))

135

min(size(❨❨1, 2❩, ❨4, 1❩, ❨0, 1❩❩))

2

f ≔ n ↦ if(even(n), n/2, 3⋅n + 1);

n ≔ 27; L ≔ IteratedImages(f, n, 100); '(min(L), max(L))

23
9232

Finding the smallest number in a sequence

min(sin(k/2) + 5⋅cos(k/3) − sin(k/4), k, −10, 10)

−6.70556579756

See also

• max