Sentence examples for suitable versions of from inspiring English sources

We observe, though, that there are other set theories in which nonstandard objects are deliberately provided (we will review some of these below), and some of the applications of those set theories to "nonstandard analysis" might be duplicated in suitable versions of NFU.

Alastair is arranging a suitable version of Lifted (though our campaign theme tune really should have been My Way).

By Ben McGrath Rogers's singular gift may have been his ability to read the anxieties of others, and offer a suitable version of himself to fit the situation.

This may have been Rogers's singular gift: an extraordinary ability to read the anxieties of others, and to offer a suitable version of himself to fit the situation.

When exchanging patterns at this time, our aim was to identify the implementation of the pattern of interest in the system code and then substitute a suitable version of the replacement pattern.

The aim of this paper is to show that this computational burden can be drastically reduced, with little or no loss of performance, by applying a suitable version of the sphere detection (SD) algorithm.

Further, by imposing a suitable version of anonymity and non-bossiness along with dominant strategy incentive compatibility, we find that the only mechanisms satisfying all these conditions are the Groves mechanisms.

By using a suitable version of the dual fountain theorem established in this paper, we prove the existence of infinitely many small energy solutions.

However, we will use a suitable version of the mountain pass theorem and Morse theory to get three nontrivial solutions for problem (1) in the general case (N>4).

Again, a classical result of Specker establishes the existence of a model of NF in a suitable version of simple type theory with a formal counterpart of typical ambiguity.

Alternatively, a suitable version of the fundamental theorem of asset pricing can be used to show that the discounted prices defined through admissible trading strategies are σ-martingales (hence, in fact, supermartingales) under an equivalent local martingale measure.