Sentence examples for equivalent to certain from inspiring English sources

We begin by studying certain semigroup estimates which are more singular than those implied by a Sobolev embedding theorem but which are equivalent to certain logarithmic Sobolev inequalities.

In Lubarsky et al. 2012, reverse mathematics is applied to a form of Kripke's schema, which is shown to be equivalent to certain topological statements.

Theophrastus held that certain prosleptic premises were equivalent to certain categorical sentences, e.g. (1) to 'A is predicated of all B'.

Many linear interference cancellation schemes have been shown to be equivalent to certain iterative methods [1], and therefore, they tend to have the same semi-convergence behavior for ill-conditioned systems.

For example, expert users can make sounds equivalent to certain concepts through the addition of zero-weight connections between specified sounds and concepts, thus, improving query results for nonexpert users.

Consequently, determining the partial molar heat capacity and partial molar entropy of electrons in a conductor by using thermoelectric measurements depends on an extension of the principles of thermodynamics, wherein certain quantities from equilibrium thermodynamics would be equivalent to certain quantities from irreversible thermodynamics.

We cannot conclude that they are equal; however, we can perform an equivalence test to check if they are equivalent to a certain acceptable threshold.

An example for such automatic support could be submission of novel unannotated sequences to the ProtoNet BF partition, and assigning (with a certain probability) the sequence to one of the BF clusters (each essentially equivalent to a certain protein family).

We will see for example that free braided monoidal Picard category is equivalent to a certain bordism category of framed tangles.

It is assumed that during the production of LWAC the lightweight aggregate (LWA) absorption is equivalent to a certain percentage of the absorption determined in an aqueous medium.

In this paper a few "difficult" problems related to simultaneous stabilization of three plants (equivalent to a certain problem related to unit interpolation in H∞) have been addressed through the framework of randomized algorithms.