Sentence examples for be defined using only from inspiring English sources

For many logics, to obtain a semantics similar to an algebraic semantics using the class of algebras naturally associated with them one needs for every algebra a set of designated elements that cannot be defined using only the equations of the algebraic language or is not even definable by using only this language.

However, when applying the equation to practical cases, as is the purpose of this research, the transmissibility matrix should be defined using only the response data.

If this analysis is successful then it would constitute a broadly logical analysis, since the expressions on the right hand side of the account can each be defined using only broadly logical vocabulary.

First, if Lewis is right, then modal concepts can be defined in terms of paradigmatically non-modal concepts, since 'world' and all of Lewis's other technical terms can be defined using only 'is spatiotemporally related to', 'is a part of' and the vocabulary of set theory.

Since the ancestral of a dyadic predicate can be defined using only monadic second-order quantification, PFO does indeed serve the logical needs of Boolos's sub-logicism.[12] But since the neo-logicist definition of F≈G uses dyadic second-order logic, PFO alone does not have sufficient expressive power to accommodate the needs of neo-logicism.

A statistical regression model was defined using only cutting parameters.

Optical waveguides and fluidic microchannels have been defined using only a single photolithographic masking step.

The intrinsic mean is defined using only the intrinsic geometry of the manifold.

What changes across row panels is how roles are defined: using only local information (GF); using only global information (GA); and using both global and local information (HM).

Moreover, material properties are defined using only four parameters tuned by measurements, which is an unequivocal and effective way of material description.

These three risk tiers were defined using only progression status at 2 years and 4 years after analyzed specimens were obtained.