Sentence examples for mappings is therefore from inspiring English sources

A less stringent criterion for producing mappings is therefore appropriate for some users.

A logharmonic mapping f defined in U is a solution of the nonlinear elliptic partial differential equation f z ¯ ¯ f ¯ = a f z f, where the second dilatation function a lies in B. Thus the Jacobian J f = | f z | 2 ( 1 − | a | 2 ). is positive, and all non-constant logharmonic mappings are therefore sense-preserving and open in U.

It is therefore essential that these mappings be both comprehensive and of high quality.

It is therefore natural to study the non-self behavior of the nonlinear mappings.

It is therefore infeasible to solve the ME problem by considering all possible valid mappings and then picking the one that causes the fewest episodes.

Fine-mapping studies are therefore performed to enable a more thorough evaluation of variation in associated regions, in order to narrow down the number of potential causal variants for subsequent evaluation and validation through functional assays.

Therefore, the class of multiplicative -Banach-contraction mappings is a real wider class of Banach-contraction mappings.

Therefore, the class of the -relaxed co-coercive mappings is a more general one.

DOM elements are essentially just mappings to C++ objects and are therefore subject to all the issues with mutation in C++.

Clearly, continuous mappings are closed, and therefore the two mappings mentioned above are closed.

Of the clones with both mate-pair BES available, 26,574 (28%) gave mappings with each E-value above this threshold and were therefore amenable to further analysis.