We show that in the supersymmetry framework described by a Poincaré superalgebra with tensorial central charges the role of generalized superconformal symmetry which contains all these central charges is played by OSp(1|2), where k = 3 for D = 4. Following [1,2] we describe the free supertwistor model for OSp(1|8). It appears that in such a scheme the tensorial central charges satisfy additiona...

We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator on L2 with weight (1−x2)−1/2. The kernel of this integral operator is θ′4/θ4 and is the Riemann mapping function that maps the open unit disc conformally onto the interior of an ellipse. Running title: An Inverse Operator 1990 Mathematics Subject Classification: Primary 33D45, 42C10, Second...

We provide new results for noise-tolerant and sample-efficient learning algorithms under s-concavedistributions. The new class of s-concave distributions is a broad and natural generalization of log-concavity, and includes many important additional distributions, e.g., the Pareto distribution and t-distribution. This class has been studied in the context of efficient sampling, i...

This paper deals with the single-item capacitated lot sizing problem with concave production and storage costs, considering minimum order quantity and dynamic time windows. This problem models a lot sizing where the production lots are constrained in amount and frequency. In this problem, a demand must be satisfied at each period t over a planning horizon of T periods. This demand can be satisf...

In this paper, we study the inverse problem for Dirac differential operators with  discontinuity conditions in a compact interval. It is shown that the potential functions can be uniquely determined by the value of the potential on some interval and parts of two sets of eigenvalues. Also, it is shown that the potential function can be uniquely determined by a part of a set of values of eigenfun...

We present a logspace algorithm that constructs a canonical intersection model for a given proper circular-arc graph, where canonical means that models of isomorphic graphs are equal. This implies that the recognition and the isomorphism problems for this class of graphs are solvable in logspace. For a broader class of concave-round graphs, that still possess (not necessary proper) circular-arc...

We extend Troitsky’s ideas on measure-free martingales on Banach lattices to martingales of operators acting between a Banach lattice and a Banach space. We prove that each norm bounded martingale of cone absolutely summing (c.a.s.) operators (also known as 1-concave operators), from a Banach lattice E to a Banach space Y , can be generated by a single c.a.s. operator. As a consequence, we obta...

Circumtrindene (6, C36H12), one of the largest open geodesic polyarenes ever reported, exhibits fullerene-like reactivity at its interior carbon atoms, whereas its edge carbons react like those of planar polycyclic aromatic hydrocarbons (PAHs). The Bingel-Hirsch and Prato reactions - two traditional methods for fullerene functionalization - afford derivatives of circumtrindene with one of the i...

‎Let $X,Y$ be normed spaces with $L(X,Y)$ the space of continuous‎ ‎linear operators from $X$ into $Y$‎. ‎If ${T_{j}}$ is a sequence in $L(X,Y)$,‎ ‎the (bounded) multiplier space for the series $sum T_{j}$ is defined to be‎ [ ‎M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}%‎ ‎T_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator $S:M^{infty}(sum T_{j})rightarrow Y$ associat...

It is clear that if A7 possesses the spectral resolution N = jzdK(z), then any operator of the form A =Jzll2dK(z), where, for the value of z1'2, the choice of the branch of the function may depend on z, is a solution of (1). Moreover, all such operators are even normal. Of course, equation (1) may have other, nonnormal, solutions A. The object of this note is to point out a simple condition to ...