Sentence examples for to deduce results from inspiring English sources

This approach allows us to deduce results for metric spaces from the corresponding result in the fuzzy setting.

We used positional information to deduce results that overlapped between the two programs and picked candidate motifs accordingly.

Theorem 5.3 suggests that it is (sometimes) possible to deduce results on valuations of degree i from results on valuations of a degree j > i.

We deduce results about exponential convexity and log-convexity.

In order to deduce our results, we need to quote a few results.

The fractional derivative formula (2.5) can be specialized to deduce other results.

Next, in order to deduce our results, we suppose that Upsilon ( t ) = gamma_{0}^{2} z^{T} ( t )z ( t ) - hat{r}^{T} ( t )hat{r} ( t ).

In 1967, Kiguradze [18] proved that it is enough to consider a one-sided Nagumo condition (by eliminating the absolute value in (1.11)) to deduce existence results for Dirichlet problems.

So, to deduce existence results for this new situation, it is necessary to make use of the qualitative properties of continuity and monotonicity of the functions that define the nonlinear boundary value conditions.

To deduce existence results for (2.8) they consider a variant of the truncated problem (1.14) (by adding the term tanh ) coupled with the following nonconstant Dirichlet boundary conditions: (2.11).

Since John [18] initiated semi-infinite programming precisely to deduce important results about two such geometric problems: the problems of covering a compact body in finite dimensional spaces by the minimum-volume disk and the minimum-volume ellipsoid, many researchers have been investigated the theory, applications and methods for the semi-infinite programming (see, for example, [19 22]).