IsZero

Tests if a numeric entity is zero.

Syntax

• IsZero(x[, ε])

  • x is a number, a vector, or a matrix

  • ε is a positive number

Description

If x is a number, a vector, or a matrix, then IsZero(x, ε) returns true iff x is the number zero, the zero vector of its dimension, or the zero matrix of its size, respectively, comparing floating-point values using epsilon ε. If omitted, a default (non-zero) value for ε will be used.

Examples

A ≔ ❨❨1/10, 0❩, ❨0, 1/10❩❩

⎛0.1    0⎞
⎝  0  0.1⎠

IsZero(A^20)

true

See also

• IsNonZero

• IsPositive

• IsNonPositive

• IsNegative

• IsNonNegative