vector field
A Set of Axioms for the Degree of a Tangent Vector Field on Differentiable Manifolds
... From now on we will assume the existence of a function deg defined on the family of all admissible pairs and satisfying the above three properties that we will regard as axioms. Remark 3.1. The pair v, ∅ is admissible. ...
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Parallel Vector Field Embedding
... of vector fields, which is called parallel vector field embedding ...parallel vector fields and ...parallel vector fields on the data ...parallel vector fields by solving a ...
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On Numerical Evaluation of the Winding Number of a Plane Vector Field
... circle is called winding number or index of the singular point and the value of this number represents the most important property of the vector field F. For example, the knowledge of the index is crucial ...
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Axiomatic Affine Unification with Large Gravitational Vector Field Yields Vector Metric Theory of Gravitation, Electromagnetism and Field Description of Mass Particles
... a vector field as gravitational matter is both difficult and ...Gravitational field G allows this interpretation of Universe’ ...gravitational field decreases, the effective value of Newton’s ...
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Proof for the Directivity of Circulation Intensity of Vector Field
... Electromagnetic Field curriculum, curl has become one of the difficulties in the curriculum due to the abstract definition and complex mathematical ...“Electromagnetic Field” textbook is Circulation of ...
5
On the Rotation of a Vector Field in a Four Dimensional Space
... Recently I published a paper in the journal ALAMT (Advances in Linear Algebra & Matrix Theory) and explored the possibility of obtaining products of vectors in dimensions higher than three [1]. In continuation to ...
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The computation of distinguished hyperbolic trajectory in vector field
... The computation of distinguished hyperbolic trajectory in vector field is always a hard problem. One reason is because the concept of instantaneous stagnation points trajectory (ISPT) and that of ...
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Neumann-Neumann methods for vector field problems
... Abstract. In this paper, we study some Schwarz methods of Neumann–Neumann type for some vector field problems, discretized with the lowest order Raviart–Thomas and N´ed´elec finite elements. We consider a ...
24
The magnetic field vector of the Sun as a star – II Evolution of the large scale vector field through activity cycle 24
... of vector fields (Vidotto 2016; Lehmann et ...magnetic field is considered to be a superposition of magnetic multipoles with different degrees ...magnetic field, ...
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The Concept of the General Force Vector Field
... gravitational field of a system of moving particles can be precisely calculated taking into account the superposition principle of potentials and field strengths of a multitude of par- ticles, taking into ...
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A Comparison of GVF and VFC on Leaf Images
... Abstract Snakes or Active contours, are algorithms that are tremendously used to achieve image segmentation by edge detection. The drawbacks in the active contour model gave rise to new external forces such as Gradient ...
6
Concircular π Vector Fields and Special Finsler Spaces
... concurrent vector field in Riemannian geometry had been introduced and investigated by ...Concurrent vector fields in Finsler geometry had been studied locally by ...concurrent vector fields ...
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Design of Self Assembling Molecules and Boundary Value Problem for Flows on a Space of n Simplices
... A tetrahedron and its six edges (thick lines). Edges are shown with the adjacent tetra- hedrons associated with them. Only four of them (left and center) are included in the tangent space; (d) A chain of isosceles ...
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Some curvature tensors in N(k)-contact metric manifold
... In 1988, Tanno [1] introduced the notion of k -nullity distribution of a contact metric manifold as a distribution such that the characteristic vector field or Reeb vector field (Reeb 1952) ...
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Research on Motion Attention Fusion Model Based Video Target Detection and Extraction of Global Motion Scene
... motion vector field is pre-processed by accumulation and median filter; Then, according to the temporal and spatial character of motion vector, the attention fusion model is defined, which is used to ...
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Strain and vector magnetic field tuning of the anomalous phase in Sr3Ru2O7
... Samples were grown by means of a floating zone method ( 57 ) and cut to the desired shape with a wire saw. The strained samples were 40 to 45 mm thick and 170 to 280 mm wide. Electrical contacts were made with DuPont ...
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Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations
... Llibre in [11] shows that the problem of finding first integrals or integrating factors is reduced to a question of linear algebra on the set of cofactors. We introduce the following concepts introduced in [1]. Let X be ...
8
On Almost Cosymplectic Manifolds
... Key words: Differentiable manifold, vector field, 1-form, Riemannian metric, curvature tensor.. Let there exist a tensor F of type 1,1, a 1-form u, a vector field U, a Riemannian metric [r] ...
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A Tour of T duality: Geometric and Topological Aspects of T dualities
... Reeb vector field defines a nowhere vanishing vector field on the cone, and hence defines a foliation of C(M) into the orbits of ξ, called the Reeb ...Reeb vector field is also ...
209
Knots and Electromagnetism
... electric field, because they are fixed by self-duality when the terms determining the magnetic field are ...the field lines of the magnetic field have the same structure as the field ...
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