Given a finite point set P ⊂ R, we call a multiset A a one-sided weak ε-approximant for P (with respect to convex sets), if |P ∩ C|/|P | − |A ∩C|/|A| ≤ ε for every convex set C. We show that, in contrast with the usual (two-sided) weak ε-approximants, for every set P ⊂ R there exists a one-sided weak ε-approximant of size bounded by a function of ε and d.

Analog electronic cochlear models need exponentially scaled filters. CMOS Compatible Lateral Bipolar Transistors (CLBTs) can create exponentially scaled currents when biased using a resistive line with a voltage difference between both ends of the line. Since these CLBTs are independent of the CMOS threshold voltage, current sources implemented with CLBTs are much better matched than current so...

A generalized complex structure may be understood as a "weakly holomorphic" Poisson structure: given an integrability condition, a generalized complex structure "integrates" to a symplectic groupoid equipped with a weak holomorphic structure, i.e., a compatible holomorphic structure on the associated stack. Similarly, generalized complex branes may be represented as weakly holomorphic coisotrop...

In this paper we introduce the notion of the fractional weak discrepancy of a poset, building on previous work on weak discrepancy in [5, 8, 9]. The fractional weak discrepancy wdF (P ) of a poset P = (V,≺) is the minimum nonnegative k for which there exists a function f : V → R satisfying (1) if a ≺ b then f(a) + 1 ≤ f(b) and (2) if a ‖ b then |f(a)− f(b)| ≤ k. We formulate the fractional weak...

We use shifted K-theoretic jeu de taquin to show that the weak K-Knuth equivalence relation introduced in [3] is compatible with the shifted Hecke insertion algorithm introduced in [9]. This allows us to define a K-theoretic analogue of the shifted Poirier-Reutenauer Hopf bialgebra developed by [6]. From this, we derive a new symmetric function that corresponds to K-theory of OG(n, 2n+ 1) and p...

This paper presents a multithreaded processor, the MSparc. MSparc supports up to four contexts on chip and employs block mul-tithreading. The processor is compatible to standard Sparc processors making multithreading completely transparent to application programs. Switching can be done by hardware or software and is achieved within one processor cycle. Preliminary performance evaluations in a N...

*Correspondence: [email protected] Accounting School, Zhejiang University of Finance and Economics, Hangzhou, 310018, China Abstract By using R-weak commutativity of type (Ag) and non-compatible conditions of self-mapping pairs in generalized metric space, without the conditions for the completeness of space and the continuity of mappings, we establish some new common fixed point theorems for t...

Here we treat the problem of representability of an algebraic lattice by the weak congruence lattice of an algebra, i.e. the lattice of all symmetric and transitive relations compatible with algebra. We prove that some suborders of the representable lattices are representable, and give conditions under which these suborders are also sublattices of the initial lattices. We also prove that the di...

If synchronizing (rendez-vous) communications are used in the Promela models, the unless construct and the weak fairness algorithm are not compatible with the partial order reduction algorithm used in Spin's veri er. After identifying the wrong partial order reduction pattern that causes the incompatibility, we give solutions for these two problems. To this end we propose corrections in the ide...

We propose a QCD-inspired two-component Pomeron form which gives an excellent description of the pp, πp, Kp, γp and γγ total cross-sections. Our fit has a better χ/dof for a smaller number of parameters as compared with the PDG fit. Our 2-Pomeron form is fully compatible with weak Regge exchange-degeneracy, universality, Regge factorization and the generalized vector dominance model. LPNHE 00-0...