Sentence examples for by using the degree from inspiring English sources

Finally, we study and compare the statistic features of the networks converted from original traffic time series in three states based on phase space and visibility by using the degree distribution, network structure, correlation of the cluster coefficient to betweenness and degree degree correlation.

and by using the degree theory, the existence of a positive solution of (1.3) is established.

By using the degree theory, we will show that (T_{2}) has at least three fixed points which are solutions of (3.18 - 1.2).

Now we can show the solvability of the given boundary value problem involving the p-Laplacian by using the degree theory.

By using the degree theory, we will show that T 1 has at least three fixed points which coincide with the solutions of (22 - 2).

The authors [4] also proved that when c < λ 1, Λ 1 < b < Λ 2 and s < 0, (1.2) has at least three nontrivial solutions by using the degree theory.

This paper considers the city centers of Istanbul, Ankara, Bursa, Adana and Konya in Turkey and presents a detailed account of the practical seasonal heating energy requirements in an apartment building and fuel consumption estimations in each city center by using the degree-hours method.

It corrects the R2 value for the data counts and the number of terms in the model by using the degrees of freedom on its computations, so if there are many terms in a model and not very large sample size, adjusted R2 may be visibly smaller than R2[25, 26].

In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptotically linear operator equations is discussed.

Firstly, extensive energy analysis is conducted by using the heating degree days (HDD) parameter, which is already consolidated in the field of efficient thermal management of data-centers.

The method used, which, in the authors' opinion, is not quite new, is based on the expansion of the elasticity equations into a Taylor series of the transverse variable: by using the same degree of expansion, the equations obtained for the cylindrical part and for the spherical parts are consistent (they correspond to the Donnell and Mushtari approximation).