Invariants at arbitrary and fixed energy (strongly and weakly conserved quantities) for 2-dimensional Hamiltonian systems are treated in a unified way. This is achieved by utilizing the Jacobi metric geometrization of the dynamics. Using Killing tensors we obtain an integrability condition for quadratic invariants which involves an arbitrary analytic function S(z). For invariants at arbitrary e...

The endodontic endosseous implant (EEI) enjoyed wide use in the United States after it was introduced in the 1960's. For various reasons including incorrect case selection, improper use of the materials, and poor preparation for the implant a high number of failures resulted. Following opposition by some members of the dental community, the procedure fell into disuse. The authors of this articl...

A recent construction of the electroweak theory, based on quantum gauge invariance alone, is extended to the general case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance lead to an isolated solution for the fermionic couplings in agreement with the standard model. Third order gauge invariance determines the Higgs potential. The resu...

This document describes an additional content type for the Cryptographic Message Syntax (CMS) [CMS]. The authenticatedenveloped-data content type is intended for use with authenticated encryption modes, where an arbitrary content is both authenticated and encrypted. Also, some associated data in the form of authenticated attributes can also be authenticated. All of the various key management te...

A recent construction of the electroweak theory, based on perturbative quantum gauge invariance alone, is extended to the case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance lead to an isolated solution for the fermionic couplings in agreement with the standard model. Third order gauge invariance determines the Higgs potential. The...

In this paper, we firstly show that the $N$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $N$-dual operation. As a dual result, the $N$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge...

Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is resources co evolution and artifacts theory in cscw computer supported cooperative work. This book is not kind of ...

A new elegant, powerful and accurate superposition method is presented for isotropic/specially orthotropic rectangular plates with arbitrary transverse load and arbitrary combination of free/simply-supported/clamped/guided/elastically supported edges. All the component solutions used here are infinite series equivalents of the complicated closed-form Levy-type solutions employed in the conventi...

Let L be the distinguished Laplacian on certain semidirect products of R by R which are of ax+ b-type. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators of the form e √ ψ( √ L/λ) for arbitrary time t and arbitrary λ > 0, where ψ is a smooth bump function supported in [−2, 2] if λ ≤ 1 and supported in [1, 2] if λ ≥ 1. As corollary, we reprove a basic...

Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial di erential equations. These new methods are equivalent to conventional spectral methods but do not rely on speci c grid distributions. Speci cally, we show how to implement Legendre Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids. Research supported by AFOSR gran...