We present extensive studies of basic one-electron matrix elements involved in ion-metal surface scattering theory. Our method allows for the convenient generation of matrix elements for high principal quantum numbers of hydrogenic projectile states and thus provides basic building blocks for the ab initio description of the interaction of highly charged ions with surfaces. The matrix elements ...

We provide an exposition of the hypergraph models for parallel sparse matrix-vector multiplies based on one-dimensional (1D) matrix partitioning. Our aim is to emphasize the expressive power of the hypergraph models. We first set forth an elementary hypergraph model in which vertices represent the data elements of a matrix-vector multiply operation and nets encode data dependencies. We then app...

A unitary extension principle for constructing normalized tight wavelet frames of periodic functions of one or higher dimensions is established. While the wavelets are nonstationary, the method much simplifies their construction by reducing it to a matrix extension problem that involves finite rows of complex numbers. Further flexibility is achieved by reformulating the result as an oblique ext...

a matrix $pintextmd{c}^{ntimes n}$ is called a generalized reflection matrix if $p^{h}=p$ and $p^{2}=i$‎. ‎an $ntimes n$‎ ‎complex matrix $a$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $p$ if $a=pap$ ($a=-pap$)‎. ‎in this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $axb=c$ and $dxe=f$ over reflexiv...

Abstract Although UN peace operations began with unarmed observer missions in 1948–1949, the first armed force—the Emergency Force ( UNEF )—was deployed 1956 due to Suez crisis. Scholars and practitioners have since interpreted Secretariat’s 1958 study of that experience, called Summary Study , as a foundational text history peacekeeping because it supposedly codified key principles impartialit...

matrix metalloproteinases (mmps) are a family of neutral proteinases that are important in normal development, cellular differentiation or migration, angiogenesis, neurogenesis, wound repair, and a wide range of pathological processes such as oxidative stress and neuroinflammation. mmps have been demonstrated to increase the permeability of the blood–brain barrier (bbb) by degrading the compone...

There are non–vanishing price responses across different stocks in correlated financial markets. We further study this issue by performing different averages, which identify active and passive cross– responses. The two average cross–responses show different characteristic dependences on the time lag. The passive cross–response exhibits a shorter response period with sizeable volatilities, while...

A new approach is presented for determining the rigid regions in proteins and the flexible joints between them. The short-range forces in proteins are modeled as constraints and we use a recently developed formalism from graph theory to analyze flexibility in the bond network. Forces included in the analysis are the covalent bond-stretching and bond-bending forces, salt bridges, and hydrogen bo...

The mastery of two languages provides bilingual speakers with cognitive benefits over monolinguals, particularly on cognitive flexibility and selective attention. However, extant research is limited to comparisons between monolinguals and bilinguals at a single point in time. This study investigated whether growth in bilingual proficiency, as shown by an increased number of translation equivale...