A decomposition of identity is given as a complex integral over the coherent states associated with a class of shape-invariant self-similar potentials. There is a remarkable connection between these coherent states and Ramanujan’s integral extension of the beta function. Electronic address: [email protected] Electronic address: [email protected] Electronic address: [email protected]...

In this paper, we discuss the prediction problem based on censored coherent system lifetime data when the system structure is known and the component lifetime follows the proportional reversed hazard model. Different point and interval predictors based on classical and Bayesian approaches are derived. A numerical example is presented to illustrate the prediction methods used in this paper. Mont...

An algebra A is uniform if for each θ ∈ ConA, every two classes of θ have the same cardinality. It was shown by W. Taylor that coherent varieties need not be uniform (and vice versa). We show that every coherent variety having transferable congruences is uniform.

Health reform is the outcome of dispersed policy initiatives in different sectors, at different levels and across time. Policy work which can drive coherent health reform needs to operate across the governance structures as well as the institutions that comprise healthcare systems. Building policy capacity to support health reform calls for clarity regarding the nature of such policy work and t...

We explore the effects of ultrafast shaped pulses for two-level systems that do not have a single photon resonance by developing a multiphoton densitymatrix approach. We take advantage of the fact that the dynamics of the intermediate virtual states are absent within our laser pulse timescales. Under these conditions, the multiphoton results are similar to the single photon and that it is possi...

For homogeneous simply connected Hodge manifolds it is proved that the set of coherent vectors orthogonal to a given one is the divisor responsible for the homogeneous holomorphic line bundle of the coherent vectors. In particular, for naturally reductive spaces, the divisor is the cut locus.

Mark I. Stockman,* David J. Bergman, and Takayoshi Kobayashi Department of Physics and Astronomy, Georgia State University, Atlanta, Georgia 30303, USA School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel Department of Physics, University of Tokyo, Hongo 7-3-1 Bunkyo-Ku, Tokyo 113-033, Japan ~Received 25 September 20...

Citation: The PLOS ONE Staff (2014) Correction: Global Genetic Response in a Cancer Cell: Self-Organized Coherent Expression Dynamics. PLoS ONE 9(8): e105491. doi:10.1371/journal.pone.0105491 Published August 8, 2014 Copyright: 2014 The PLOS ONE Staff. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribu...

Probability forecasts in complex environments can benefit from combining the estimates of large groups of forecasters (“judges”). But aggregating multiple opinions faces several challenges. First, human judges are notoriously incoherent when their forecasts involve logically complex events. Second, individual judges may have specialized knowledge, so different judges may produce forecasts for d...

Given an unsteady flow field, one common way to compute Lagrangian Coherent Structures (LCS) is to extract extremal structures of the Finite Time Lyapunov Exponent (FTLE). Experience has shown that the resulting structures are often close to material structures (i.e., material lines or material surfaces). Moreover, it has been proven that for an integration time converging to infinity, they con...