Sentence examples similar to do equivalent formulations from inspiring English sources

The treatment is done entirely in an equivalent formulation in the so-called "frequency domain".

Thus, infinite sets for which there does not exist some definite selection rule require the axiom of choice (or one of its equivalent formulations) in order to proceed with the choice set.

The axiom of choice has many mathematically equivalent formulations, some of which were not immediately realized to be equivalent.

There are various equivalent formulations of the Church-Turing thesis.

The above formulation of large cardinal axioms invokes classes but there are equivalent formulations in terms of sets.

We do not enter into details of the minimization problem defining (mathtt {KFR}), which could also be turned into a convex one by using the variables ((varrho, varrho mathbf {v}, varrho u)), and of its equivalent formulations.

Various details are left unspecified in the problem; equivalent formulations of it fill in the details in different ways.

In his referential book [38], Lowen offered at least seven equivalent formulations of A-spaces.

There are several equivalent formulations of the partial KKM principle; see [26].

Since its appearance many extensions and equivalent formulations have been shown.

Park [8] showed a sequence of equivalent formulations for the KKM principle in abstract convex spaces.