Sentence examples for be an analytic plane from inspiring English sources

Let L be an analytic plane curve t = alpha(s), qquad x = beta(s) quad (a < s < b).

Let be the open unit disk in the complex plane and let be an analytic self-map of.

Let H ( x, y ) = A ( x ) + 1 2 y 2 be an analytic function in some open subset of the plane that has a local minimum at ( x 0, 0,).

Let f be an analytic function in the unit disc (|z|<1) on the complex plane (mathbb {C}).

Let (H mathbb{D})) denote the space of all analytic functions on the unit disc (mathbb{D}) of the complex plane ℂ, (psi_{1},psi_{2}in H mathbb{D}) ), and φ be an analytic self-map of (mathbb{D}).

Definition 4.1 Let F ( s ) be an analytic function with infinite X-order represented by Laplace-Stieltjes transformations convergent in the right half-plane.

Let C be the complex plane, D = { z ∈ C : | z | < 1 } the open unit disk and H (D ) the class of all analytic functions on D. Let φ be an analytic self-map of D and ψ ∈ H (D ).

The Laplace transform (F s)=mathcal{L}f(s)) of (f(t)) is defined by F s)= int_{0}^{+infty } e^{-st}f(t),dt,qquad Re (s)> sigma, which is an analytic function in the half-plane (Re (s)>sigma ), and the inverse Laplace transform is given by the complex integral [14] f(t)=mathcal{L}^{-1}(F) (t)=frac{1}{2pi i} int_{sigma -iinfty }^{ sigma +iinfty }e^{st}F s),ds, quad t>0.

The determinant is an analytic function in the complex frequency plane and has poles at the complex modal frequencies of the system.

A weighted composition operator Cψ,φ takes an analytic map f on the open unit disc of the complex plane to the analytic map ψ⋅f∘φ where φ is an analytic map of the open unit disc into itself and ψ is an analytic map on the open unit disc.

"I'm an analytic therapist," she says.