Sentence examples for under that domain from inspiring English sources

These name claimants either conduct business or educate the world under that domain name, unless they are cybersquatters, grabbing the most salable words and well-known names for sale to the highest bidder.

This would apply to any email addresses, listservs and forums that fall under that domain, as well.

Phys.88, 1983, 309-318) fobtaininging a lower bound for sums of eigenvalues under Dirichlet boundary conditions in order to get a lower bound for sums of eigenvalues under Neumann boundary conditions under the assumption that the domain under consideration is Lipschitz equivalent to a ball.

One way in which this has been made precise is through the characterization of logical expressions as those whose extension or denotation over any particular domain of individuals is invariant under permutations of that domain.

That the extension of an expression over a domain is invariant under a permutation of that domain means that the induced image of that extension under the permutation is the extension itself (the "induced image" of an extension under a permutation $Q$ is what the extension becomes when in place of each object $o$ one puts the object $Q o)$).

—Ministry of Health official Competency of health management information system (HMIS) and sufficiency of mental health reporting are the themes that emerged under this domain of the CAMH health system.

And a connective or quantifier is permutation-invariant just in case its semantic value on each domain of objects is invariant under all permutations of that domain.

The natural thought is that an expression should count as permutation-invariant just in case its extension on each domain of objects is invariant under all permutations of that domain.

Obviously membership as a relation over a domain of individuals and sets is not invariant under all permutations of that domain, so it is not declared a logical notion of the language of set theory by Tarski's proposed definition.

Consider a two-place predicate \(\dq{\approx}\), whose meaning is given by the following definition: According to the invariance criterion, \(\dq{\approx}\) is a logical constant just in case its extension on every domain is invariant under every permutation of that domain.

In this section, we prove convergence theorems under the assumption that the domain C has the Opial property.