Sentence examples for be a conformal map from inspiring English sources

On the opposite direction, let be a conformal map.

Moreover, a map which is conformal (resp., weakly conformal) at all points is said to be a conformal map (resp., a weakly conformal map).

Let a, b be points on (partial D_{E}) and ϕ be a conformal map (D_{E}) onto (D_{S}) such that (phi(a)=-infty) and (phi(b)=infty).

Definition 2.1 Let D E be a simply connected domain in the complex plane C, and let ∂ D E denote the boundary of D E. Let a, b be points on ∂ D E and ϕ be a conformal map D E onto D S such that ϕ ( a ) = − ∞ and ϕ ( b ) = − ∞.

Throughout this paper, f z) will be a conformal mapping, and we shall write h z) =: log(f′)(z).

Let (Phi ) be a conformal mapping from the strip ((-1,1)+imathbb R) to (Delta ) such that (Phi (0)=0), then (|Phi '(0)|=pi /4).

Let (psi :{mathcal{S}}rightarrow Omega) be a conformal mapping with (psi ({y=pi /2}) = alpha) and (phi ({y=-pi /2}) = partial Omega {setminus} bar{alpha }).

The result is a "conformal map," which preserves the shapes of objects like clusters of galaxies or clouds of asteroids and shows them with the same relative sizes they appear to have in the sky.

That is, iff z) is a conformal map of a diskDonto a bounded, simply connected plane domainΩ, normalized by |f′(0)|=1, thenλ1⩽λ1(D).

We show that C is a conformal map of Carnot Caratheodory manifolds, and that composition with the Cayley transform, combined with multiplication by appropriate powers of the Jacobian, induces isomorphisms of Sobolev spaces Hα(N) and Hα(K/M).

Thus there is a conformal mapping (psi :{mathcal{S}} rightarrow Omega) with (psi ({mathbb R})=gamma).