Sentence examples for singular versions from inspiring English sources

Life in any community is almost always defined by rituals: participating in them, shunning them, protecting them, carving out private space in which to enact singular versions, or subversions, of them.

Formulae (3.7) express the boundary values of the Cauchy integrals in terms of their singular versions.

We may then consider the Cauchy integrals and in, defined by (3.2). as well as their respective singular versions and in, also called Hilbert transforms, defined by (3.3).

This dictionary is focused on definitions, and so contains only singular versions of nouns, even though their plural versions are perfectly acceptable as Scrabble words; for example, if you type the word "WORDPLAY," it will be found, but the word "WORDPLAYS" will not be found, even though it is in the official North American Scrabble list, called TWL.

What was ignored then was this singular version of supply and demand: Long-standing literary and commercial fiction voices are maturing, and many of them have reached a plateau economically and critically.

The singular version of the Moser-Trudinger inequality on the Heisenberg group was also proved by Lam, Lu and Tang in [12].

In Section 3, we establish a singular version of Moser-Trudinger inequality with the exact growth condition on hyperbolic space (Theorem 1).

Motivated by the above results, we consider the singular version of the Moser-Trudinger inequality with the exact growth condition on hyperbolic space.

The above result was also extended by Chen and Liu [25] to singular version through the change of variables developed by Dong and Lu in [17].

This paper is concerned with a singular version of Moser-Trudinger inequality with the exact growth condition on hyperbolic space (mathbb{H}^{n}).

In this paper, we prove a singular version of Moser-Trudinger inequality with the exact growth condition in the n-dimension hyperbolic space (mathbb{H}^{n}).