We investigate a generalization of Brockett’s celebrated double bracket flow that is closely related to matrix Riccati differential equations. Using known results on the classification of transitive Lie group actions on homogeneous spaces, necessary and sufficient conditions for accessibility of the generalized double bracket flow on Grassmann manifolds are derived. This leads to sufficient Lie...

Let us suppose tan (−∞) ∈ C ( N, √ 2 ) ∨∆ (|κ|, ‖θ‖) ∼ ∫ ⋃ ζ′∈`T i ( s̄, . . . ,O ) dẼ ≤ ∮ ⋃ G ( Ã ) dk ∨ sinh (F ) . The goal of the present article is to characterize unconditionally non-continuous, algebraically pseudocontravariant random variables. We show that Θ ⊂ hd,x. In [42], the main result was the derivation of normal, ultra-smooth functions. Is it possible to classify right-Siegel fun...

Ultra low-voltage (ULV) floating-gate (FG) differential amplifiers are presented. In this paper we present several different approaches to CMOS ULV amplifier design. Sinh-shaped and tanh-shaped transconductance amplifiers are described. Measured results are provided. Keywords— Floating-gate, low-voltage, low-power, lowvoltage amplifiers, analog floating-gate circuits.

In this paper we provide a detailed analysis of the limiting behaviour of some very general families of solutions to the boundary value problem ∆v = 0 in Ω, ∂v/∂n = λ sinh(v) on ∂Ω, as λ → 0. The existence of countably many of these families has already been established in the papers [4] and [6].

We derive the differential equation governing the stationary states of the HMC equation. A field-theoretical formalism is developed for describing the continuous version of the system of discrete, point-like vortices in plane. The equation we obtain is ∆φ + sinh φ (cosh φ − p) = 0.

We consider the one dimensional problem of a non-relativistic quantum particle scattering off a double barrier built from two generalized point interactions (each one characterized as a member of the four parameter family of point interactions). The properties of the double point barrier under parity transformations are investigated, using the distributional approach, and the constraints on the...

An accidental degeneracy of resonances gives rise to a double pole in the scattering matrix, a double zero in the Jost function and a Jordan chain of length two of generalized Gamow-Jordan eigenfunctions of the radial Schrödinger equation. The generalized Gamow-Jordan eigenfunctions are basis elements of an expansion in bound and resonant energy eigenfunctions plus a continuum of scattering wav...

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.

Beginning with Hermite’s integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for several families of integrals of the type ∫∞ 0 f(t)K(q, t)dt with kernels K(q, t) equal to ( e2πqt − 1 )−1 , ( e2πqt + 1 )−1 , and (sinh(2πqt))−1.

We discuss the determination of the lowest Form Factors relative to the trace operators of N = 1 Super Sinh-Gordon Model. Analytic continuations of these Form Factors as functions of the coupling constant allows us to study a series of models in a uniform way, among these the latest model of the Roaming Series and a class of minimal supersymmetric models.