and Applied Analysis 3 For every h ∈ L1([0, a],X), the right-hand side of (21) is a continuous function on [0, a]. It is natural to consider it as a generalized solution of (8) even it is not differentiable and dose not strictly satisfy the equation. We therefore define the following. Definition 2. Let −A is the infinitesimal generator of C 0 semigroup T(t) (t ≥ 0). Then a continuous solution u...

Douglas H. Jones, Donald C. Anderson, Bean L. Burr, Helen E. Rudloff, C. Wayne Smith, Sharon S. Krater, and Frank C. Schmalstieg Departments of Pediatrics (D.H.J., D.C.A., B.L.B., C.W.S., S.S.K.) and Microbiology and Immunology and Cell Biology (D.C.A.), Baylor College of Medicine, and the Speros P. Martel Leukocyte Biology Laboratory, Texas Children’s Hospital, Houston, and Department of Pedia...

Controlled system islanding, also called system splitting, can effectively prevent blackouts of power systems. The splitting strategy determining how to split a power network into islands should be given in real time. Previous papers proposed an ordered binary decision diagrammethod to search for the splitting strategies satisfying necessary steady-state constraints, e.g. generation– load balan...

In many transport-chemistry models, a huge system of ODE's of the advection-diffusion-reaction type has to be integrated in time. Typically, this is done with the help of operator splitting. Operator splitting is attractive for complex large-scale transport-chemistry models because it allows to handle different processes separately in different parts of the computer program. Rosenbrock schemes ...

In this work, we propose a novel node splitting method for regression trees and incorporate it into the regression forest framework. Unlike traditional binary splitting, where the splitting rule is selected from a predefined set of binary splitting rules via trial-and-error, the proposed node splitting method first finds clusters of the training data which at least locally minimize the empirica...

Abstract For several decades, shear-wave splitting (SWS) parameters (fast polarization orientations and splitting times) have been widely measured to reveal the orientation and strength of mantle anisotropy. One of the most popularly used techniques for obtaining station-averaged SWS parameters is the multiple-event stacking technique (MES). Results from previous studies suggest the splitting t...

A series of monomial representations of SL2(p) is used to construct a new series of self-dual ternary codes of length 2(p + 1) for all primes p ≡ 5 (mod 8). In particular we find a new extremal self-dual ternary code of length 60.

Example 4.31. (K16 , P) : P = {(1, 3,5,10,16,15), (1, 4, 6,13,14,11), (1,5, 7,12, 15,10),(1,16,12,10,9,14),(2,3,6,9,11,13),(2,4, 7,10,13,9), (2,5,13,7,11,10), (1, 6, 2, 7,3,8), (1, 7, 8, 11,6,12), (3, 13, 1,9,7,14), (2,11,3,10,6,14),(3,15,14,16,8,12),(4,9,16,7,15,11),(4,10,14,8,13,15), (4,13,16,11,5,14),(8,2,12,5,9,15),(16,3,9,12,4,5),(5,15,6,16,4,8)}; L {(5, 6), (6,7), (6, 8), (8,9), (8, 10), ...

where 〈. . .〉 here denotes an average over many particles and events. In particular, elliptic flow v2 is recognized as a sensitive probe of thermalization at RHIC [2]. While anisotropic flow is by definition a collective effect that involves many particles, it has mostly been analyzed using methods based either on a study of twoparticle correlations [3–5] or on the cumulants of correlations bet...