Sentence examples for formulate the statement from inspiring English sources

The problem with this move is that, even if mathematical fictionalists formulate the statement of the completeness theorem without referring to mathematical entities, the proof of this theorem assumes set theory (see, for instance, Boolos and Jeffrey 1989, pp. 131 140).

For example, at the second infinite level one can formulate the statement PM (that all projective sets are Lebesgue measurable) and at the third infinite level one can formulate CH (Cantor's continuum hypothesis).[5] These statements were intensively investigated during the early era of set theory but little progress was made.

We nevertheless decided to formulate the statement more precisely since previous studies showed that the health care of seriously ill patients with high severity is more important to society than the health care of minor conditions [ 48, 49].

For convenience of reference, we formulate the statements for the p-periodic problem (3.2). (3.3).

We now formulate the basic statement.

We can formulate the following statement.

In Section 2, we formulate the problem statement and discuss relevant solution criteria.

As an illustration, we formulate the following statement which is an interesting consequence of our Corollary 5.7.

We are now in a position to formulate the following statement for mappings of Cartesian product topological spaces.

Let us denote the characteristic function of the ergodic distribution of W λ ( t ) by φ w λ ( u ) and formulate the following statement.

This could also be expressed by saying that t u ( x, t ) only depends on the single variable s - the usual way to formulate the invariance statement.