Sentence examples for use of the operator from inspiring English sources

To achieve this goal, we use of the operator splitting algorithm that splits the proposed model into two equations.

We make use of the operator space structure of the Fourier algebra A(G) of an amenable locally compact group to prove that if H is any closed subgroup of G, then the ideal I(H) consisting of all functions in A(G) vanishing on H has a bounded approximate identity.

The idea of construction of the iterations there is based, in the notation of [11], on the use of the operator H m u : = L − P m L (72). in a suitable space of p -periodic functions, where ( L y ) ( t ) : = ∫ 0 t y ( s ) d s − t p ∫ 0 p y ( s ) d s, t ∈ [ 0, p ], m is fixed, and P m stands for the m th partial sum of the Fourier series of the corresponding function.

https://jira.mongodb.org/browse/SERVER-831. http://stackoverflow.com/questions/14855246/multiple-use-of-the-positional-operator-to-update-nested-arrays.

The incremental strategy would prioritize, initially, the use of the operators that generate mutants that were not detected by FindBugs and have a lower cost in terms of the number of generated mutants.

end{aligned} (24 With the use of this operator, the initial wave functions can be made to be displaced.

"What is the use of 'this' method?" The use of "this" operator was explicitly taught in the seed.

Like in the continuous case, we will make use of the multiplication operator and shift-operator resp.

The "AND" operator was frequently used, but as PubMed links all words in the query with "AND", the use of this operator is not necessary.

Now if the reader looks back at our use of the necessity operator in defining the remaining four alethic modal operators, it will be clear that that definitional scheme is perfectly analogous to the deontic one above.

(33) The corresponding equations of motion for the fluid are the 'conservation' of the stress-energy tensor nabla_{mu}T^{munu} = 0, (34) and conservation of rest mass nabla_{mu}bigl(rho u^{mu}bigr) = 0, (35) which differ from their special relativistic counterparts (2) and (3) by the use of the ∇ operator, i.e. the covariant derivative constructed from the metric (29).