Formal verification of safety and liveness properties of systems with a dynamically changing, unbounded number of interlinked processes and infinite-domain local data is challenging due to the two sources of infiniteness. The existing state abstraction-based approaches Data Type Reduction and Environment Abstraction each address one aspect, but the former doesn’t support infinite-domain local d...

We present a gauge independent Lagrangian method of abstracting the reduced space of a solvable model with Gribov-like ambiguity, recently proposed by Friedberg, Lee, Pang and Ren. The reduced space is found to agree with the explicit solutions obtained by these authors. Complications related to gauge fixing are analysed. The Gribov ambiguity manifests by a nonuniqueness in the canonical transf...

Let R ∗ = R2k+1 \ {~0} (k ≥ 1) and π: R ∗ → S2k be the map sending ~r ∈ R ∗ to ~r |~r| ∈ S 2k . Denote by P → R ∗ the pullback by π of the canonical principal SO(2k)-bundle SO(2k + 1) → S2k . Let E] → R ∗ be the associated co-adjoint bundle and E] → T ∗R ∗ be the pullback bundle under projection map T ∗R ∗ → R ∗ . The canonical connection on SO(2k + 1) → S2k turns E] into a Poisson manifold. Th...

Abstract. We first show that the canonical solution operator to ∂ restricted to (0, 1)forms with holomorphic coefficients can be expressed by an integral operator using the Bergman kernel. This result is used to prove that in the case of the unit disc in C the canonical solution operator to ∂ restricted to (0, 1)-forms with holomorphic coefficients is a Hilbert-Schmidt operator. In the sequel w...

The Nuclear Factor-kappa B (NF-κB) family of transcription factors plays a key role in cancer pathogenesis due to the ability to promote cellular proliferation and survival, to induce resistance to chemotherapy and to mediate invasion and metastasis. NF-κB is recruited through different mechanisms involving either canonical (RelA/p50) or non-canonical pathways (RelB/p50 or RelB/p52), which tran...

Abstract The notion of conically smooth structure on a stratified space was introduced by Ayala, Francis and Tanaka. This is very well behaved analogue differential in the context topological spaces, satisfying good properties such as existence resolutions singularities handlebody decompositions. In this paper we prove Tanaka’s conjecture that any Whitney admits canonical structure. We thus est...

The Baudelairean modernity and its environs following text takes up the problem of in canonical formulation proposed 1863 by Charles Baudelaire his important essay entitled Le peintre de la vie moderne. author article tries to show basic framework this concept with definition itself category beauty, remaining at Baudelaire’s conception natural connection it. highlights importance earlier views ...

Asking that the metric of a complex Finsler space should be strong convex, Abate and Patrizio ([1]) associate to the real tangent bundle a real Finsler metric for which they analyze the relation between Cartan (real) connection of the obtained space and the real image of Chern-Finsler complex connection. Following the same ideas, in the present paper we shall deal with the more general case of ...

We investigate the rational powers of ideals. find that in case monomial ideals, canonical indexing leads to a characterization yielding symbolic squarefree ideals are indeed themselves. Using connection with techniques, we use splittings show convergence depths and normalized Castelnuovo–Mumford regularities. Stanley for powers, as consequence this, before-now unknown integral closure powers. ...

in this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. we transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters value, ambiguity and fuzziness.