Sentence examples for examples of weights from inspiring English sources
Appropriate examples of weights are also given.
It should be emphasized that in the classical Lebesgue spaces the two-weight problem for fractional integrals is already solved (see [26, 27]), but it is often useful to construct concrete examples of weights from transparent and easily verifiable conditions.
There are many interesting examples of weights of the form (frac{-Delta rho }{rho }) besides (frac{ n-2)^2}{4|x|^2}), which could refrac{ n-2 nature of the domain.
Examples of weights calculated by considering amino acid pairs are shown in Figure 3B.
Examples of weight-bearing activities include jumping rope, brisk walking, dancing, racket sports (i.e. tennis) and soccer.
In Figure 2A and Supplementary Figure S3, we displayed the actual five most significant terms retrieved with their P-values for selected examples of weight sets.
Since Proposition 2 captures the worst-case scenario (as also explained in Remark 2) and the latter is reflected in this example of weights' assignment, we can characterize the coexistence of power law and normally distributed similarity values/weights for two different flows as such a worst-case scenario.
The last case, where the weight function decays as the inverse of the fourth power of epicentral distance, can be considered as an example of weight decaying faster than in the previous cases: (36)Table 1 lists formulas estimating the values of A, C, and D for each of the six cases.
In particular, our aim is to derive easily verifiable sufficient conditions for the boundedness of the operators (1.1). in weighted spaces which enable us to effectively construct examples of appropriate weights.
Let us recall the most standard examples of such weights.
