A network of n sensors receiving independent and identical observations in R", regarding certain hinarj hypotheses, pass their decisions to a fusion center which then decides which one of the two hypotheses is true. We consider the situation where each sensor employs a likelihood ratio test with its own observation and a threshold, which is the same for all the sensors, and the fusion center de...

A method is presented to define unique continuum states for the two-center Dirac Hamiltonian. In the spherical limit these states become the familiar angular-momentum eigenstates of the radial Coulomb potential. The different states for a fixed total energy I E I > m may be distinguished by considering the asymptotic spin-angular distribution of states with unique scattering phases. The first n...

An empirical likelihood approach with an increasing number of estimated constraints is developed for inference in the symmetric location model. We obtain a Wilks’ Theorem for the resulting empirical likelihood and uniform local asymptotic normality. The former is used to obtain confidence regions and tests for the center of symmetry. The latter is used to show that the maximum empirical likelih...

The delays are the mathematical models of the delay circuits. Delay theory is the mathematical theory that considers the fundamental circuit in digital electronics be the delay circuit and modeling is made by using delays and Boolean functions. The most detailed level of modeling is considered, starting from the delays that occur in gates and wires. Relative inertia is the property of the state...

In this paper, we present an approach for robustly grasping objects under positional uncertainty. We maintain a belief state (a probability distribution over world states), model the problem as a partially observable Markov decision process (POMDP), and select actions with a receding horizon using forward search through the belief space. Our actions are world-relative trajectories, or fixed tra...

m-parametrizable algebras are characterized by a projectiveness property. Mathematics Subject Classification (2000): 08A99.

We say that a real X is relatively r.e. if there exists a real Y such that X is r.e. (Y ) and X 6≤T Y . We say X is relatively REA if there exists such a Y ≤T X. We define A ≤e1 B if there exists a Σ1 set C such that n ∈ A if and only if there is a finite E ⊆ B with (n, E) ∈ C. In this paper we show that a real X is relatively r.e. if and only if X 6≤e1 X. We prove that every nonempty Π01 class...

Discovering a latent common space between different modalities plays an important role in cross-modality pattern recognition. Existing techniques often require absolutelypaired observations as training data, and are incapable of capturing more general semantic relationships between cross-modality observations. This greatly limits their applications. In this paper, we propose a general framework...

Functions counting the number of subsets of {1, 2, . . . , n} having particular properties are defined by Nathanson. Here, generalizations in two directions are given. Received: 10/1/08, Revised: 3/20/09, Accepted: 3/30/09