Sentence examples for examples we obtain from inspiring English sources

As main examples we obtain results for weighted spaces (Muckenhoupt, doubling), general 2-microlocal spaces, Besov Lizorkin Triebel Morrey spaces, spaces of dominating mixed smoothness and even mixtures of the mentioned ones.

By using our main result and these three examples, we obtain the following results.

Based on the experiments on the 10, 000 random examples, we obtain the Hermite factors γ B after the reductions by LLL, PLLL, VLLL, SLLL, and DEEP.

Then f and g have a unique common fixed point 1 in X. Remark 2.10 Obviously, in the above two examples, we obtain the (common) fixed point which essentially needs the structure of a cone metric and not an ordinary metric on X.

As an example, we obtain non self-orthogonal 2- 21,6,4) designs.

As an example, we obtain the finite temperature structure of two 180° domain walls in a 2D lattice of interacting dipoles.

For example, we obtain a refractive index of ~ 3.66 and an extinction coefficient of ~ 0.0012 at the 1550-nm waselength asuitablele for a particular optical filter application where a high refractive index and low extinction coefficient is desired.

For the given example, we obtain nine circuit design solutions that correspond to the compact couplers whose multi-element slow-wave lines are composed of unit cells ranging from two to ten.

In this example, we obtain some Chebyshev type inequalities by choosing some examples of copulas.

Following the discussion presented in the previous example, we obtain the following iteration formula: (5.29).

As an example, we obtain all meromorphic solutions of the Kuramoto-Sivashinsky equation by using our complex method.