Sentence examples for use of vector field from inspiring English sources

This paper proposes ways to extend data models in GIS to allow it to address an even wider range of problems that require the use of vector field representations and analysis operations.

When these functions are defined over a continuum of points of a mathematical space, the tensor forms what is called a tensor field, a generalization of vector field used to solve problems involving curved surfaces or spaces, as it is the case of curved space‐time in general relativity.

For the measured time series of the pulsation of human finger's capillary vessels, we extract an internal dynamics with a form of vector field by using embedding method.

This process is used for another two couples of vector fields in Equation (15).

The proof uses basics from planar theory of vector fields (e.g. invariant curves, isoclines, positive invariant sets).

We establish martingale criterions for variations transversal to the gauge orbit and for Yang Mills fields using variations induced by the flow of vector fields of gradient type on the base manifold.

In order to simplify notations we will denote (X= X^0,,d_0=d) and use the same notation for both families of vector fields (dependent or independent of (epsilon )).

We shall use the symbol (Gamma(Twidetilde{M})) to denote the Lie algebras of vector fields on a manifold M̃.

We shall use the symbol Γ ( T M ¯ ) to denote the Lie algebra of vector fields on the manifold M ¯.

In computer graphics, the vector field editing method is used for creating texture alignments and extracting analytical information about given graphical representations of vector fields [35] [37].

We introduce Focal Vector Field Reconstruction (FVR), a novel technique for the inverse imaging of vector fields.