Human motivational systems are designed to promote organismic reactions that facilitate survival and reproduction. Recent research suggests that there are individual differences in human motivation across evolutionarily salient domains, such as self-protection threat, status, mateseeking and mate retention, and that these individual differences are distinct from other dimensions of personality ...

the linear adiabatic pulsation-periods of mira variable stars have been derived. approximately 2701[1]models were calculated for m = 0.7 mθ to 2 mθ stars with radii from 180 rθ to 340 rθ and luminosities from 2800 lθ to 10,000 lθ. the chemical composition of all models is (x,z) = (0.7,0.02). from the result of this study, linear relations on luminosity-period-mass relationship and luminosity-pe...

We report on the discovery of a new correlation between global parameters of the hot interstellar gas in elliptical galaxies. We reanalyze archival Chandra data for 30 normal early-type systems, removing the contributions of resolved and unresolved point sources to reveal the X-ray morphology of the hot gas. We determine the half-light radius, RX , and the mean surface brightness, IX , from the...

The analysis of the properties of a sample of elliptical galaxies for which the kinetic energy of both random and rotational motions are consistently defined, shows that more than half of the so-called ‘tilt’ of the fundamental plane of elliptical galaxies is accounted for by the non-homology in the dynamical structure of the systems. We find that the kinetic energy of random motions is proport...

The masses of supermassive black holes correlate almost perfectly with the velocity dispersions of their host bulges, MBH ∝ σ α, where α ∼ 5. The relation is much tighter than the relation between MBH and bulge luminosity, with a scatter no larger than expected on the basis of measurement errors alone.

It is well known that members of families of polynomials, that are orthogonal with respect to an inner product determined by a nonnegative measure on the real axis, satisfy a three-term recursion relation. Analogous recursion formulas are available for orthogonal Laurent polynomials with a pole at the origin. This paper investigates recursion relations for orthogonal rational functions with arb...

This paper presents a method for determining the possible instantaneous motions of a sliding object during multiple contact pushing. The approach consists of two components: a kinematic analysis considering kinematic motion constraints, and a force analysis considering force constraints on the motion. A new representation of the support friction of a sliding object is presented, and the results...

We prove the following: there are infinitely many finite-covolume (resp. cocompact) Coxeter groups acting on hyperbolic space Hn for every n ≤ 19 (resp. n ≤ 6). When n = 7 or 8, they may be taken to be nonarithmetic. Furthermore, for 2 ≤ n ≤ 19, with the possible exceptions n = 16 and 17, the number of essentially distinct Coxeter groups in Hn with noncompact fundamental domain of volume ≤ V gr...

We study the fundamental plane relation in high redshift clusters using a sample of 26 galaxies in MS2053–04 (z = 0.583) and 22 galaxies in MS1054–03 (z = 0.83). The zeropoint and scatter are compared to results for lower redshift clusters in order to trace evolutionary effects. Furthermore, our large sample enables us to investigate correlations between residuals from the fundamental plane and...

We study the relation between black hole (BH) mass and host galaxy properties in simulations of major galaxy mergers, including the effects of gas dissipation, cooling, star formation, and BH accretion and feedback. We show that the simulations predict the existence of a BH “fundamental plane” (BHFP), of the form MBH ∝ σ3.0 R0.5 e or MBH ∝ M0.64±0.1 ∗ σ1.7±0.2, analogous to the FP of elliptical...