Sentence examples for exists a model from inspiring English sources

There exists a model problem (tilde{L}) such that (16) holds.

By the completeness theorem for first-order logic, there thus exists a model \(\mathcal{M}\) for the language of bounded of arithmetic such that \(\mathcal{M} \models \mathsf{S}^1_2 + \exists x \neg \exists y \varepsilon(2,x,y)\).

Then by the Löwenheim-Skolem-Tarski Theorem, there exists a model elementarily equivalent to the model generated by the Completeness Theorem that is of the same size as the world (since by Löwenheim-Skolem-Tarski Theorem T will have models of every infinite size).

(lambda_{k}) are distinct negative numbers, (alpha_{k}) are nonzero Hermitian matrices, (alpha_{k} ge0), the (m times m) matrix function (rho V lambda)) is continuous and bounded as (lambda> 0), (V lambda) > 0) and (M lambda) = O(rho^{-1})) as (rhoto0), where (M lambda)) is defined by (37), there exists a model problem (tilde{L}) such that (16) holds.

If there exists a model, a is credulously accepted.

Adding the atom for a in negated form to the formula decides if a is not skeptically accepted, i.e., if there exists a model, an extension does not contain a.

A knowledge base (mathcal {K}) is satisfiable (respectively, unsatisfiable) if and only if there exists (respectively, there does not exist) a model for (mathcal {K}).

So far, there does not exist a model for sensor fusion that is generally accepted, and it seems unlikely that one technique or architecture will provide a uniformly superior solution [3].

In accordance with rules of parsimonious model selection [ 13], if there existed a model (here, a model is the number of FOVs) with mean PE within one standard error of that of the minimum model, the smaller model was selected as optimal.

In this section, we show that there exists a walk model which is equivalent to the driven-diffusive model explained in the previous sections.

*The heterogeneity exists; a random-effect model based on the DerSimonian and Laird method or a fixed-effect model based on the Mantel-Haenszel method was used.