Sentence examples for is of class C1 from inspiring English sources

Since M is continuous and f has subcritical growth, the above functional is of class C1 in H.

It shows that if Γ is of class C1,γ, then eigenfunction of (2.1) belongs to C 1, α Open image in new window.

It is easy to check that F ̃ ( x, u, v ) is of class C1 and its restriction to Ω ̄ × ℝ + × ℝ + coincides with F x,u,v).

We know that if a sequence f m of C1 functions converges uniformly, and its derivatives f m ′ also converges uniformly, then the limit of f m is of class C1, and its derivative is the limit of f m ′.

We consider nonautonomous linear difference equations v m + 1 = A m v m + B m v m (1.1). in a Banach space, where λ is a parameter in some open subset Y of a Banach space (the parameter space), and λ → B m is of class C1 for each m ∈ J = ℕ.

We show that for f and g harmonic, TfTg=Th only in the trivial case, provided that h is of class C2 with the invariant laplacian bounded.

Recall that (Tin B(mathcal{H})) is a (C_{0cdot} -contraction (resp., (C_{0cdot} -contraction) if (Veresp.{n} xVert ) C_{1cdot} -contraction (xinmathC_{1cdot} -contractionot converge to 0 for all non-trifial (xinmathcal{H})); T is of class (C_{cdot0}), or (C_{cdot1}), if (T^) is of class (C_{0cdot}), respectiVert (C_{1cdoT^{n

Distribution of permeability indices reveals that groundwater quality at borehole locations BH1, BH2, BH3, BH5, BH6, BH7, and BH8 is of Class 1 (PI < 25%%), while BH4, BH9, and BH10 were of Class II (PI > 25%%).

Furthermore, all the conjugacies that we construct are locally Hölder continuous provided that the vectors fields are of class C1.

We establish the existence of stable subspaces E n λ on J for each λ ∈ Y, such that the maps λ ↦ E n λ are of class C1.

These splines are of class G1 (continuous tangent line).