Sentence examples for be a vector field from inspiring English sources

Let be a vector field along and a one-parameter variation of tangent to.

Let \ v\) be a vector field in \(\mathbb{R}^{n}\) defined along a curve \(x = x t)\).

Let (H Erightrightarrows E) be a set-valued mapping, (sigma Erightarrow TE) be a vector field, and (varphi Erightarrowmathbb{R}) be a real-valued function.

Let Ω be an open and connected subset in M, and denote the space of all infinitely continuously differentiable functions on Ω by C ∞. Let X∈C ∞ be a vector field.

A vector field X on Λ n is a function that assigns to each point P ∈ Λ n a tangent vector  v P. Definition 10 Let X be a vector field and X ( P ) ∈ T P ( Λ n ).

Suppose that s > − d 2. Let v be a vector field such that ∇ v belongs to L 1 ( [ 0, T ] ; H s − 1 ) if s > 1 + d 2 or to L 1 ( [ 0, T ] ; H d 2 ∩ L ∞ ) otherwise.

where is an arbitrary constant vector, and is a vector field.

It is obvious to see that X ∘ β is a vector field on β.

Suppose that X is a vector field on Λ n and v P ∈ T P ( Λ n ).

A deformation field is a vector field that maps pixels of the reference image to the corresponding ones of the template image.

Actually, force field is a vector field at every pixel in the image, and is used to measure the edge strengths of the neighboring pixel.