Sentence examples for be a small parameter from inspiring English sources

Let ϵ>0 be a small parameter.

The analysis is restricted to a symmetric current sheet geometry and to the case of weak reconnection, where the reconnection rate is supposed to be a small parameter.

Theorem 4.1 Let Y, X be Banach spaces, ε ∈ R be a small parameter and η ∈ R 2 d.

where w i  = w i (x,y,z,t) (i = 1, 2, 3, …) to be determined later, ε be a small parameter.

Let ϵ be a small parameter, representing concentrations.

Here ɛ>0 is a small parameter.

It is shown that there is a small parameter region for delay-independently stability of the system.

The ratio of the gas density to the plate surface mass is assumed to be small, and thus is a small parameter in the governing equations.

We will study stability and asymptotic stability for time-varying systems described by ODEs of the form ẋ=f(ε−1t,x), where f t,x) is 1-periodic with respect to t and ε>0 is a small parameter.

For a general class of difference operators Hε="Tε+Vε on ℓ2((εZ d), where Vε is a multi-well potential and ε is a small parameter, we analyze the asymptotic behavior as ε→0 of the (low-lying) eigenvalues and eigenfunctions.

In contrast to conventional treatments of suspension hydrodynamics, this relation is non-perturbative in the sense that it is not necessary to assume that the volume fraction of suspended particles is a small parameter.