The Green’s function, defined as the response recorded at the acquisition surface for a source located in the interior of the subsurface, is a combination of the downgoing and upgoing wave fields needed to reconstruct an image of the discontinuities inside the earth. Two-sided Green’s function representations require measurement on the full boundary enclosing the domain of interest and allow us...

We demonstrate how to use Lautemann's proof that BPP is in p 2 to exhibit that BPP is in RP PromiseRP. Immediate consequences show that if PromiseRP is easy or if there exist quick hitting set generators then P = BPP. Our proof vastly simpliies the proofs of the later result due to Andreev, Clementi and Rolim and Andreev, Clementi, Rolim and Trevisan. Clementi, Rolim and Trevisan question wheth...

We revisit the problems of state masking and amplification through lens empirical coordination. Specifically, we characterize rate-equivocation-coordination trade-offs regions a state-dependent channel in which encoder has causal strictly knowledge. also extend this characterization to cases two-sided information noisy feedback. Our approach is based on notion core receiver’s knowledge, introdu...

We consider a discrete-time multi-channel network where the destination collects time-sensitive packets from multiple sources with sided channel information. The popular metric, Age of Information (AoI), is applied to measure data freshness at destination. Due interference constraint, only disjoint source-channel pairs can be chosen for transmission in each time slot, and decision maker should ...

This paper describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function (cdf). Our results are built on extensions of previous work by Cheng and Iles (1983, 1988). Cheng and Iles use Wald statistics with (expected) Fisher information and provide different approaches to find one-sided and two-sided simultaneous confiden...

this paper addresses the problem of testing simple hypotheses about the mean of a bivariate normal distribution with identity covariance matrix against restricted alternatives. the lrts and their power functions for such types of hypotheses are derived. furthermore, through some elementary calculus, it is shown that the power function of the lrt satisfies certain monotonicity and symmetry prope...

We are given a bipartite graph G = (A ∪ B,E) where each vertex has a preference list ranking its neighbors: in particular, every a ∈ A ranks its neighbors in a strict order of preference, whereas the preference lists of b ∈ B may contain ties. A matching M is popular if there is no matching M ′ such that the number of vertices that prefer M ′ to M exceeds the number that prefer M to M ′. We sho...

1. Let X be a Banach space, and B(X) the Banach algebra of all bounded linear operators in X. The closed two sided ideals of B(X) (actually, of any Banach algebra) form a complete lattice L(X). Aside from very concrete cases, L(X) has not yet been determined; for instance, when X = l, l ^ p < « > , L(X) is a chain (i.e., totally ordered) with three elements: {o}, B(X) and the ideal C(X) of comp...

Let be a nite alphabet, and let h : ! be a morphism. Finite and innnite xed points of morphisms | i.e., those words w such that h(w) = w | play an important role in formal language theory. Head characterized the nite xed points of h, and later, Head and Lando characterized the one-sided innnite xed points of h. In this paper, we complete the characterization of xed points of morphisms by descri...