non-vanishing vector
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Non-Radiative Dielectric waveguide (NRD) — Figure 1 Contents 1 Introduction 2 The dispersion relation in the NRD wave … Wikipedia
Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha … Wikipedia
Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… … Wikipedia
Hairy ball theorem — The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on the sphere. If f is a continuous function that assigns a vector in R3 to every point p on a sphere such that f ( p ) is always… … Wikipedia
Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the … Wikipedia
Dipole — This article is about the electromagnetic phenomenon. For other uses, see dipole (disambiguation). The Earth s magnetic field, approximated as a magnetic dipole. However, the N and S (north and south) poles are labeled here geographically, which… … Wikipedia
Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… … Wikipedia
QCD vacuum — The QCD vacuum is the vacuum state of quantum chromodynamics (QCD). It is an example of a non perturbative vacuum state, characterized by many non vanishing condensates such as the gluon condensate or the quark condensate. These condensates… … Wikipedia
Congruence (general relativity) — In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four dimensional Lorentzian manifold which is interpreted physically as a model of spacetime.… … Wikipedia
