Sentence examples for weight function when from inspiring English sources

We are interested in discussing the exact multiplicity of positive solutions of (1.1) with a weight function when changes its sign only once on.

The "thrifty phenotype" hypothesis predicts that this is due to the inability of the IUGR individual's homeostatic systems that regulate body weight to function when there is a high level of energy intake common in developed countries (Wild and Byrne 2004; Yajnik 2001).

However, n should be greater than 2 because contributions of remote data in the weight function are too big when n = 2; this is understandable from the fact that the corresponding integral for the homogeneous data distribution, ( 2pi kern0.5em {displaystyle {int}_0^Drdr/left[1+{left(r/{d}_0right)}^2right]} ), increases to infinity with an increase of D. The author assumed n = 4.

This weight function is also used when considering MIPS complexes as 𝒜.

It is worth pointing out that many authors are interested in the weighted norm inequalities when the weight function belongs to the Muckenhoupt classes.

Sharp estimates are found in [14] for the cotype of ℓ M (w), which depends only on the generating Orlicz function, when the weight sequence verifies the condition w = { w n } n = 1 ∞ ∈ Λ Open image in new window.

Equality holds when the weight function is an Hermitean form.

The same is also true when the weight function has a finite integral.

Section 6 gives some corollaries of our main results for the case when the weight function is of polynomial type.

To obtain the approximation ratio, let us first start with the SPCPM algorithm when the weight function h i (u,v) is used.

Moreover, when the weight function in the fractional time integral is replaced with a sinusoidal function, then the solution of the corresponding field equations yields a variable cosmological constant and an oscillatory scale factor [6]: S = m 2 ∫ 0 τ x ̇ μ x ̇ ν g μ ν ( x ) e - χ sin ( β t ) dt, Open image in new window (1b).