Sentence examples for with any equivalent from inspiring English sources

Generally, T maybe is not contractive in R n with any equivalent norm even if system (2) is of exponential stability.

The definition of algebraizable logic can be formulated in terms of translations between the logic and an equational consequence relation associated with any equivalent algebraic semantics ⊨K fot it, which is the same no matter what equivalent algebraic semantics we choose.

In more detail, our theory is proposed to be applied in the form of both the Point Method (PM) and the Line Method (LM) and it is formalised so that it can be used in conjunction with any classical equivalent stress (i.e., Von Mises' equivalent stress, Tresca's equivalent stress, maximum principal stress criterion, etc).

UA was defined by hospital admission with thoracic pain (or any equivalent) considered to be of myocardial ischemic origin, and non ST-elevation on electrocardiographic or myocardial necrosis marker changes at first consultation.

There are still many disgruntled Sanders supporters out there who are frustrated with Hillary Clinton; but that frustration does not stretch out to any equivalent fury with their Republican opponents.

"If I were to ask you where is evidence of equivalent contact, any equivalent contact with another interested party, namely the anti-bid coalition, is there any or not?" asked Robert Jay QC, counsel to the inquiry, of Smith.

(100 µl) with an equivalent dilution of noninfectious AF.

Control mice were injected with an equivalent volume of PBS.

Control animals were treated with an equivalent amount of DMSO.

Currently, there is only an outline of NSMC, presented in the Results section, which leaves out many details (e.g. sampling with replacement or without replacement? I assume the latter), such that one could not replicate the calculation with any confidence that equivalent results would be obtained from the same input data.

LED FM compares favourably with ZN microscopy, with equivalent specificity and a modest increase in sensitivity.