, meaning that the algebra is central simple as an ungraded algebra, or \((-)\) , meaning that the algebra’s even part is central simple. the graded algebra’s isomorphism class is determined by, in \((+)\) case, the dimensions of even and odd parts, and in \((-)\) case, ...
Herein, we prove that simple (meaning, without repeated blocks) nontrivial t-(n,k,λ) designs over Fq exist for all t and q, provided that k>12(t+1) and n is sufficiently large. This may be regarded as a q-analog of the celebrated Teirlinck theorem for combinatorial designs....
However, the word ‘singularity’ has a more general meaning in our case because we do not need all components of the nonlinear term f(t,u) to be singular at the origin as those in [5, 6]. A nontrivial solution of (1.1) is a function u=(u_{1},\ldots ,u_{N})^{\mathrm{T...
This is the most general boundary value problem for connections on a compact manifold with smooth boundary, with geometric meaning. It is obtained by reflecting the base manifold across its boundary and lifting this action non-trivially to the bundle. The prescribed lifting corresponds to a ...
The same applies to planar cavities, but with the meaning of the temporal axis restored. Our system represents therefore a model of a quantum system in many senses. The Stokes vector of light is an equivalent of the spin of an electron, and the non-zero Berry curvature of both the ...
but with the meaning of the temporal axis restored. Our system represents therefore a model of a quantum system in many senses. The Stokes vector of light is an equivalent of the spin of an electron, and the non-zero Berry curvature of both the Poincaré sphere and the Bloch sphere is th...
Form-A is the standard meaning of 1 as a one well-known value. Form-B is my new 1, where 1 stands for a one and only one result out of several possibilities. An example of form-A set: {{{1},1},1}. An example of form-B set: {1,1,1}Mar...
Equivariant vector fields on non-trivial SOn-torsors and differential Galois theory - Juan, Ledet - 2007 () Citation Context ...G-equivariant derivations on the function fields of irreducible G-torsors, when a good interpretation of the elements of H 1(F,G) is available—meaning that the ...
However, an important but less-mentioned fact about spinor structures is that they are not generally unique, in a sense that we shall formally define in the next section. The topology of the underlying spacetime manifold dictates this property. When a spacetime is not simply connected, meaning ...
Here we define it according to our intuitive understanding of the physical meaning of substances within the framework of our problem and by the conditions imposed by the studied model. 4.1. The Influence of Internal Conflict on the Described Epidemiological Model The influence of internal conflict ...