Sentence examples for be a test function from inspiring English sources

Choose to be a test function.

Let φ ∈ W ∘ 2 1 ( Q f ) be a test function in the integral identity (35).

Let w be a solution of (3.4) and (w^) be a test function.

Let g ∈ D ( R 2 d ) be a test function such that ∑ x ∈ Z 2 d T x g ≡ 1.

A function f defined on X is said to be a test function of type ((x_{0},r,beta,gamma)) centered at (x_{0}in X) if f satisfies the following three conditions.

We first consider the space of rapidly decreasing functions which is a test function space of tempered distributions.

For all (finmathcal{D}'), we define the distributional derivative (f') of f to be a distribution satisfying (langle f',phirangle=-langle f,phi'rangle), where ϕ is a test function and (phi') is the ordinary derivative of ϕ.

The variational formulation of the DA is (43) ∫ Ω κ ∇ Φ 0 ⋅ ∇ dr + ∫ Ω α Φ 0 v dr + ∫ ∂ Ω a b Φ 0 v d S = ∫ ∂ Ω f b v d S, where v is a test function.

Then (varphi') can be as a test function, so we obtain begin{aligned} 0=int_{Omega}bigllangle A x, Du), Dvarphi' bigrrangle,mathrm{d}x=int_{Omega}v_{J}, mathrm{d}x.

And to do that I'm just going to be a little test function.

Let u be such a weak solution of (1.3) and (phiin C_{0}^{2}(mathbb {R}^{2}times [0,infty))) be a nonnegative test function.