We introduce a notion of upper Green regular solutions to the Lax-Oleinik semi-group that is defined on set \(C^0\) functions closed manifold via Tonelli Lagrangian. Then we prove some weak \(C^2\) convergence results such solution for large class approximated as (1) discounted (see [DFIZ16]); (2) image function by semi-group; (3) K.A.M. perturbed cohomology class. This kind implies in measure ...

In this article we give several new results on the complexity of algorithms that learn Boolean functions from quantum queries and quantum examples. • Hunziker et al. [17] conjectured that for any class C of Boolean functions, the number of quantum black-box queries which are required to exactly identify an unknown function from C is at most O( log |C| √ γ̂ ), where γ̂ is a combinatorial parameter...

In this paper‎, ‎using the discrete Fourier transform in the finite-dimensional Hilbert space C^n‎, ‎a class of nonRieszable equal norm tight frames is introduced ‎and‎ using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...

In this paper we determine the structure of (c,1,...,1) polynilpotent multiplier of certain class of groups. The method is based on the characterizing an explicit structure for the Baer invariant of a free nilpotent group with respect to the variety of polynilpotent groups of class row (c,1,...,1).

In this paper, a new approach to optimize phase noise and figure of merit (FoM) in class-C oscillators is presented. This recruits DC voltage the common source node switchingpair transistors as an indicator achieve best performance oscillator. The proposed has advantages not introducing any loading effect output node, ndependency from PVT changes. method simple applicable oscillator with topolo...

The Carlson-Shaffer operator L(a, c)f = φ(a, c) ∗ f, where f(z) = z+ a2z + · · · is analytic in the unit disk E = {z : |z| < 1} and φ(a, c; z) is an incomplete beta function, is used to define the class T (a, c). An analytic function f belongs to T (a, c) if L(a, c)f is starlike in E. The object of the present paper is to derive some properties of functions f in the class T (a, c).