> (greater-than sign)

The greater than relational operator.

Syntax

• a > b

  • a and b are real numbers

• u > v

  • u and v are real vectors of the same dimension

• u > 0

  • u is a real vector

• A > B

  • A and B are real matrices of the same size

• A > 0

  • A is a real matrix

• 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 greater than b. No epsilons are used. Hence, even if a and b are essentially equal, a > b might be true. 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 greater than the corresponding component of v. No epsilons are used.

• If u is a real vector, then u > 0 is true iff u is positive, that is, iff every component of u is positive.

• If A and B are real matrices of the same size, then A > B is true iff every entry of A is greater than the corresponding entry of B. No epsilons are used.

• If A is a real matrix, then A > 0 is true iff A is positive, that is, iff every entry of A is positive.

• If t and s are date or datetime structures, then t > s is true iff t denotes a later point in time than s.

The > operator is implemented by the GreaterThan function.

Examples

39/17 > 381/167

true

❨❨5, 1, 2❩, ❨1, 3, 2❩❩ > 0

true

tomorrow() > yesterday()

true

See also

• =

• ≈

• ≠

• <

• ≤

• ≥