trivial measure

The first requirement ensures that, for example, the trivial measure is not considered to be a transverse measure.

The trivial measure has zero curvature.

Let μ denote the trivial measure on some measurable space (X, Σ).

The trivial measure is never strictly positive, regardless of the space X or the topology used, except when X is empty.

In this context, these trivial measures, on which we will abstain, are pathetic in their attempt to bring morality into a system that is essentially amoral and inhuman.

An alternative, and slightly more general, definition is to define a set S to be shy if there exists a transverse measure for S (other than the trivial measure).

(A year is no trivial measure in SNCC's history: in 1967 Carmichael was still a leading spokesman, but in 1968 he was fired, ostensibly for failing to clear his speeches with the national office.)