Sentence examples for the infimum from inspiring English sources

Dictionary

the infimum

noun

(of a subset) the greatest element of the containing set that is smaller than or equal to all elements of the subset. The infimum may or may not be a member of the subset.

Exact(60)

Moreover if r(x)<∥˙x∥ then the infimum is attained.

The infimum of the spectrum of H is in the edge of its essential spectrum.

In this case, the infimum of the control time span should be larger than the upper bound of time delay.

We obtain an explicit criterion for the existence of a compact resolvent and explicit formulas up to the multiplicative constant 4 for the infimum of the spectrum and for the infimum of the essential spectrum for these operators.

Namely, the exact pole location at γ=∞ and the behavior near the infimum of γ are clarified where γ is the upper bound of the H∞ norm constraint.

The infimum of (I_{lambda}) is attained.

Similarly, we can define the infimum of.

where the infimum is taken over all.

where the infimum is taken pointwise.

A similar conclusion for the infimum is also true.

where the infimum is taken over all functions with (5.32).

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