Definition of Nonvanishing. Meaning of Nonvanishing. Synonyms of Nonvanishing

- (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the...
- vacuum states. Its hallmark under the broken symmetry transformation is nonvanishing vacuum expectation 〈δϕg〉, an order parameter, for vanishing 〈ϕg〉 = 0...
- theory of smooth manifolds, the set of integral curves defined by a nonvanishing vector field defined on the manifold Congruence (general relativity)...
- (1) by 0, −q, and μ respectively. Then the constant function 1 is a nonvanishing solution corresponding to the eigenvalue μ0 = 0. While there is no guarantee...
- smooth manifolds, a congruence is the set of integral curves defined by a nonvanishing vector field defined on the manifold. Congruences are an important concept...
- recognize the more formal statement of the theorem, that there is no nonvanishing continuous tangent vector field on the sphere. As with the Bridges of...
- 3-sphere admits nonvanishing vector fields (sections of its tangent bundle). One can even find three linearly independent and nonvanishing vector fields...
- tensor densities, in the sense that for an orientable manifold it has a nonvanishing global section, and its tensor powers with any real exponent may be defined...
- term offset is pedagogically significant, since it accounts for the nonvanishing angular momentum of the ground-state Bohr orbit in the hydrogen atom...
- and the density f of X. The ****umption that g is differentiable with nonvanishing derivative, which is necessary for applying the usual change-of-variables...