Sentence examples for is an arbitrarily from inspiring English sources

Lebanon is an arbitrarily truncated slice of the Levant, home to a myriad of sects.

where ϵ is an arbitrarily small parameter.

where μ > 0 is an arbitrarily fixed constant.

where denotes the metric projection from onto and is an arbitrarily fixed positive constant.

where is an arbitrarily fixed constant and is the projection of onto.

Since is an arbitrarily weakly convergent subsequence of, we know that converges strongly to.

δ is a sufficiently small positive number, ε is an arbitrarily small positive number.

where θ is an arbitrarily fixed constant such that 0 < θ < 1 − 2 α.

The domain is an arbitrarily sized toroidal slice with periodicity assumed in toroidal direction.

Finally, as σ is an arbitrarily small constant, we can obtain (I t)rightarrow0), as (trightarrow+infty).

where is the (nearest point) projection from onto, that is, for each and where is an arbitrarily fixed constant.