Sentence examples for suitable version of the from inspiring English sources

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).

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.

Therefore, by taking a suitable version of the expectations (mathbb {E}^{mathbb {P}}left [X_{t+varepsilon },|,mathcal {F}_{t+delta }right ]), we have Open image in new window.

A suitable version of the strict comparison property for wealth processes can be used to show that, for some nonlinear market models, the two pricing approaches yield the same value for any replicable European claim.

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.

Co-producer Brian Eno estimates that half of the album sessions were spent trying to record a suitable version of "Where the Streets Have No Name".

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.

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.

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.