Multiple measures exist that examine the attentional aspects of meditation practice, but measurement of the compassion component is relatively understudied. This paper describes the development and initial validation of a scale designed to measure application of the four immeasurable qualities at the heart of Buddhist teachings: loving kindness, compassion, joy and acceptance toward both self a...

Clearly N is perpendicular to R, so the projection of J onto R is the same as the projection LR with eigenvalue ¤1 h of L. (We now reserve z for a direction ̄xed in space, and use the subscript R for a component along R). Because total angular moment of an isolated molecule is constant, eigenfunctions of H when L is non-zero will have the quantum numbers J , MJ , ¤, s (to describe the electronic...

We construct effective Hamiltonians which despite their apparently nonrelativistic form incorporate relativistic effects by involving parameters which depend on the relevant momentum. For some potentials the corresponding energy eigenvalues may be determined analytically. Applied to two-particle bound states, it turns out that in this way a nonrelativistic treatment may indeed be able to simula...

Executive Overview Good to Great has been on BusinessWeek’s best-seller list since its October 2001 release. In Good to Great, author Jim Collins identified a set of 11 firms as great, then used them to derive five management principles he believed led to “sustained great results.” We contend that due to two fatal errors, Good to Great provides no evidence that applying the five principles to o...

In this paper we derive general expressions for few-electron spectral functions of the one-dimensional Hubbard model for values of the excitation energy in the vicinity of the M th upper-Hubbard band lower limit. Here M = 1, 2, ... is the rotated-electron double occupation, which vanishes for the ground state and is a good quantum number for all values of the on-site Coulomb repulsion U. Our st...

The dispersive properties of waves are strongly affected by inevitable residual disorder in man-made propagating media, in particular in the slow wave regime. By a direct measurement of the dispersion curve in k space, we show that the nature of the guided modes in real photonic crystal waveguides undergoes an abrupt transition in the vicinity of a band edge. Such a transition that is not highl...

We show how, when given an irreducible bivariate polynomial with coefficients in a finite prime field and an approximation to one of its roots, one can recover that root efficiently, if the approximation is good enough. This result has been motivated by the predictability problem for non-linear pseudorandom number generators and other potential applications to cryptography.

The high degree of parasitic variability in Heterodera glycines and its distribution in a wide range of soybean production systems present multiple challenges for management, which necessitate increased understanding of the biology of H. glycines. Soil amendments are being considered either as stand-alone and/or as part of integrated management approaches. A recycled municipal biosolid with nut...