≤ (less-than or equal to)

The less than or equal to relational operator.

Syntax

• a ≤ b

  • a and b are real numbers

• u ≤ v

  • u and v are real vectors of the same dimension

• A ≤ B

  • A and B are real matrices of the same size

• t ≤ s

  • t and s are date or datetime structures

Description

• If a and b are real numbers, then a ≤ b is true iff a is less than or equal to b. No epsilons are used. Hence, even if a and b are essentially equal, a ≤ b might be false. For example, sin(π) ≤ 0 might or might not be true.

• If u and v are real vectors of the same dimension, then u ≤ v is true iff every component of u is less than or equal to the corresponding component of v. No epsilons are used.

• If A and B are real matrices of the same size, then A ≤ B is true iff every entry of A is less than or equal to the corresponding entry of B. No epsilons are used.

• If t and s are date or datetime structures, then t ≤ s is true iff t denotes the same or an earlier point in time than s.

The ≤ operator is implemented by the LessThanOrEqualTo function.

Examples

17/53 ≤ 73/220

true

❨❨6, 3, 1❩, ❨1, 0, 3❩❩ ≤ ❨❨10, 10, 10❩, ❨10, 10, 10❩❩

true

yesterday() ≤ today()

true

See also

• =

• ≈

• ≠

• <

• >

• ≥