Sentence examples for more general equations from inspiring English sources

Some of them generalized Pohozaev's results to the more general equations, such as quasi-linear elliptic, polyharmonic equations, fractional differential equations.

Its application to more general equations is also discussed.

In this paper more general equations for both particle and overall effectiveness factors are derived.

The point-sensor equations developed by previous investigators are particular cases of the more general equations for finite-size sensors as developed in the present work.

In recent years, there has been considerable interest in extending the well-known Calderon Zygmund estimates for the Laplacian to more general equations, in particular equations with highest order coefficients lying in the Sarason space VMO.

More general equations and systems involving periodic boundary conditions have also been considered.

But if we're talking more generally about any one electron atom, now we have a more general equation for the binding energy, which has this z squared term out in front of it, right, so it's negative z squared times the Rydberg constant all over n squared.

where c = [ N ( N - 2 ) d ] 1 2 with d > 0 and x ̄ ∈ ℝ N. Recently, Wei and Xu [35] generalized this result to the solutions of the more general Equation (1.9) with α being any even number between 0 and N. Apparently, for other real values of α between 0 and N, (1.9) is also of practical interest and importance.

This relation is a special form of a more general equation derivable from transition state theory.

This paper extends the work of Zahran et al. (J. Quality Tech. 35 (4)) using a more general equation to define the boundary of a modifying 22 factorial design and considers optimality criteria for the best of the designs.

We also consider T operating on other domains like Ck R) for k∈N0 or k="∞ and study the more general equation T(f∘g)="(Tf)∘g⋅Ag, f,g∈C1(R) where both T and A map C1(R) to C(R).