Sentence examples for formulated it for from inspiring English sources

In fact formula (2.9) can be dated back to Carlitz who in [13] formulated it for Rogers-Szegö polynomials.

These works laid the foundation of the coalescence theory, and Kingman gave it further development and formulated it for continuous time.

On the one hand, we reformulate it in a slightly weaker version, assuming that (E) is finitely presented (instead of assuming that (E) has Property FP _2), as in the original paper); on the other hand, we formulate it for virtually metabelian groups, because this follows immediately from the case of metabelian groups.

4 As a potentially worse patient outcome with more advanced disease stage is the core concept in cancer staging, AJCC revises the TNM classification system every few years with an attempt to formulate it for more accurate patient prognostication.

We will formulate it in a form suitable for us.

It is by definitions that new semantic categories are introduced into the system; once a new category is in, variables for it may be introduced and quantified, a thesis of extensionality formulated for it, and it can provide arguments for further, higher-level functors.

It should be noted that the bus conductance matrix G can be formulated as it is for the bus admittance matrix Y in complex power system analysis [8, 9, 10].

It is formulated for phase and for the logarithm of the amplitude.

It is formulated for compact subsets, but it works for arbitrary nonempty subsets of a Banach space (see also [1], Proposition 3.2).

This difference enables to "separate" the recessive solution from dominant ones and to formulate for it a necessary and sufficient condition (2.4).

And, on the basis of its contacts with the present British Government, has it formulated any initiative for breaking the deadlock to which an outcome of this kind would give rise?