نتایج جستجو برای: involution map
تعداد نتایج: 199008 فیلتر نتایج به سال:
A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For corresponding equation involution, we investigated solvability boundary value problems a fractional-order having derivative Hadamard-type. First, involution type were The properties matrices these investigated. As applications considered transformations, questions about problem for studied. M...
Let KλG be the twisted group ring of a group G over a commutative ring K with 1, and let λ be a factor set (2-cocycle) of G over K. Suppose f : G → U(K) is a map from G onto the group of units U(K) of the ring K satisfying f(1) = 1. If x = P g∈G αgug ∈ KλG then we denote P g∈G αgf(g)u −1 g by x f and assume that the map x → x is an involution of KλG. In this paper we describe those groups G and...
Rational and soliton solutions of the KP hierarchy in the subgrassmannianGr1 are studied within the context of finite dimensional dual grassmannians. In the rational case, properties of the tau function, τ , which are equivalent to bispectrality of the associated wave function, ψ, are identified. In particular, it is shown that there exists a bound on the degree of all time variables in τ if an...
This paper proposes an improved lightweight YOLOv5 model for the real-time detection of strawberry diseases. The ghost convolution (GhostConv) module is incorporated into network, reducing parameter numbers and floating-point operations (FLOPs) extracting feature information using backbone network. An involution operator utilized in network to expand receptive field, enhance spatial on disease ...
Our main subject is to study the action of the Hecke operators Tl on the Jacobian J of the modular curve X0(N). We consider the Hecke algebra T, i.e. the subring of End(J) generated by the Tl and the involution ω and define the Eisenstein ideal I ⊂ T as the ideal generated by 1 +ω and 1 + l−Tl, l prime 6= N . The Eisenstein quotient of J is the quotient J̃ := J/aJ where a denotes the kernel of t...
We give a detailed and mainly geometric proof of a theorem by N.N. Nekhoroshev for hamiltonian systems in n degrees of freedom with k constants of motion in involution, where 1 ≤ k ≤ n. This states persistence of k-dimensional invariant tori, and local existence of partial action-angle coordinates, under suitable nondegeneracy conditions. Thus it admits as special cases the Poincaré-Lyapounov t...
Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T -equivariant cohomology of M, extending results of Goresky, Kottwitz and MacPherson and techniques of Tolman and Weitsman. Moreover, when M is equipped with an antisymplectic involution σ anticommuting with the action of T , we also extend to th...
The hermitian level of composition algebras with involution over a ring is studied. In particular, it is shown that the hermitian level of a composition algebra with standard involution over a semilocal ring, where two is invertible, is always a power of two when finite. Furthermore, any power of two can occur as the hermitian level of a composition algebra with nonstandard involution. Some bou...
The thymus is the organ devoted to T-cell production. The thymus undergoes multiple rounds of atrophy and redevelopment before degenerating with age in a process known as involution. This process is poorly understood, despite the influence the phenomenon has on peripheral T-cell numbers. Here we have investigated the FVB/N mouse strain, which displays premature thymic involution. We find multip...
We obtain normal forms for reversible polynomial automorphisms (i.e., polynomial maps that have polynomial inverses) of the plane. Our normal forms are based on the generalized Hénon normal form of Friedland and Milnor, specialized to the case that the map has a polynomial reversor. We show that each such reversor has finite order, and that for nontrivial, real maps, the reversor has order 2 or...
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