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nondegenerate
The space itself can be characterized essentially as the domain where the generalized Bergman operator is nondegenerate.
      
The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a nondegenerate invariant
      
The Brockett problem for second-order systems with scalar feedback and nondegenerate transfer function is shown to have a positive solution.
      
Solution was determined in a general form, and the existence theorem was proved for the nondegenerate case.
      
A finite-dimensional nondegenerate system of algebro-differential equations with discontinuances is considered.
      
The game is nondegenerate in the sense that the programmed controls give no way of affording the deviation and there exists a (discontinuous) method of feedback control that guarantees the deviation.
      
The problem under study can serve as an example of the nondegenerate differential game with a nonconvex terminal set, in which the attempt fails to assure the deviation with the aid of feedback control methods described by continuous mappings.
      
The differential equation system obtained has two singular points, in the vicinity of which nondegenerate transformation produces a system with a diagonal matrix which is then integrated.
      
The thermal electron component describes the transition of free electrons from ideal degenerate gas to nondegenerate state.
      
Let K be a field of nonzero characteristic p≠2, let G be a finite p-group, and let M be a nondegenerate finite-dimensional symplectic space over K with the matching structure of a Gmodule.
      
Certain properties of nondegenerate superpositions in Pk
      
It is proved that any nondegenerate system of difference equations of finite order with constant coefficients has a fundamental solution, increasing not faster then some power of the distance from the origin.
      
Isomorphisms of finite-dimensional nondegenerate monocomposition algebras
      
A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space
      
Test for C1-smooth linearization of an autonomous system in a neighborhood of a nondegenerate singular point
      
The article considers nondegenerate quadrics in Cn+1 with codimension 2 that are of the form M={z∈Cn, ω∈C2: Imωj=?z, z?j; j=1, 2}, where
      
A polynomial expansion of k-valued functions with respect to nondegenerate functions
      
Using the fact that distance matrices in Euclidean space are nondegenerate, several inequalities are derived for solving the system of linear equations whose matrix is a given distance matrix.
      
Nonspherical Levi nondegenerate tubes over affine homogeneous curves are studied.
      
In the article strongly nondegenerate (k, n)-quadrics all of whose linear automorphisms are of the formz→μz, ω → |μ|2ω, μ ∈ ? {0} are considered.
      
 

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