The main subject of the paper is the description and determination of the impedance operator of a linear periodically timevarying (LPTV) one-port network in the steady-state. If the one-port network parameters and the supply vary periodically with the same period, the network reaches a periodic steady state. However, the sinusoidal supply may induce a nonsinusoidal voltage or current. It is imp...

Differential calculus on the space of asymptotically linear curves is developed. The calculus is applied to the vortex filament equation in its Hamiltonian description. The recursion operator generating the infinite sequence of commuting flows is shown to be hereditary. The system is shown to have a description with a Hamiltonian pair. Master symmetries are found and are applied to deriving an ...

N -complexes have been argued recently to be algebraic structures relevant to the description of higher spin gauge fields. N -complexes involve a linear operator d that fulfills d = 0 and that defines a generalized cohomology. Some elementary properties of N -complexes and the evidence for their relevance to the description of higher spin gauge fields are briefly reviewed. Presented at the Inte...

The main subject of the paper is the description and determination of the impedance operator of a linear periodically timevarying (LPTV) one-port network in the steady-state. If the one-port network parameters and the supply vary periodically with the same period, the network reaches a periodic steady state. However, the sinusoidal supply may induce a nonsinusoidal voltage or current. It is imp...

The Koopman operator provides a linear description of non-linear systems exploiting an embedding into infinite dimensional space. Dynamic Mode Decomposition and Extended are amongst the most popular finite approximations Operator. In this paper we capture their core essence as dual version same problem, them Kernel framework. To do so, leverage RKHS suitable space for learning dynamics. Learnin...

We study the holographic renormalization group (RG) flow triggered by a classically marginal operator. When operator deforms conformal field theory, it does not yield nontrivial at classical level. At quantum level, however, corrections modify into one of truly marginal, marginally relevant, and irrelevant operators can generate RG flow. investigate description with corrections. look how physic...

We find the characteristic identities for split Casimir operator in defining and adjoint representations of $$osp(M|N)$$ $$s\ell(M|N)$$ Lie superalgebras. These are used to build projectors onto invariant subspaces representation $$T^{\otimes 2}$$ superalgebras cases where $$T$$ is or representation. For representation, - -invariant solutions Yang–Baxter equation expressed as rational functions...

Due to the constantly growing number of information sources, intelligent information retrieval becomes a more and more important task. We model information sources by description logic (DL) terminologies. The commonalities of user-speciied examples can be computed by the least common subsumer (LCS) operator. However, in some cases this operator delivers too general results. In this article we s...