The general class of Robinson-Trautman metrics that describe gravitational radiation in the exterior of bounded sources in four space-time dimensions is shown to admit zero curvature formulation in terms of appropriately chosen two-dimensional gauge connections. The result, which is valid for either type II or III metrics, implies that the gravitational analogue of the Lienard-Wiechert fields o...

1 School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China; [email protected] (Y.J.); [email protected] (Y.-N.Z.) 2 Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China 3 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China; [email protected] 4 State Nuclear Power Technology R & D Cent...

In high-pressure dynamic thermodynamic processes, the pressure is much higher than the air critical pressure, and the temperature can deviate significantly from the Boyle temperature. In such situations, the thermo-physical properties and pneumatic performance can’t be described accurately by the ideal gas law. This paper proposes an approach to evaluate the pneumatic performance of a high-pres...

Birth Control or the Limitation of Offspring [3] was written by American eugenics [5] and birth control [6] advocate William J. Robinson [4]. First published in 1916, the final edition (fortyeighth) was published in 1936, the same year that Robinson died. As a medical doctor and author, Robinson used his influence to promote propaganda for ?fewer and better babies,? by focusing on contraception...

Methane-Hydrogen Sulfide System,” AZChE J . , 4, 211 (1958). Modell, M., and R. C. Reid, Thermodynamics and its Applications, Prentice-Hall. Inc., Englewood Cliffs, N. J. (1974). Peng, D.-Y. and D. B. Robinson, “A New Two Constant Equation of State,” Ind. Eng. Chem. Fundament&, 15, 59 (1976). , “A Rigorous Method for Predicting the Critical Properties of Multicomponent Systems from an Equation ...

Isothermal vapour−liquid equilibrium (VLE) for four binary systems involving R1234yf (R1234yf + R134a, R152a, R1233zd(E) and R1233xf) were measured at temperatures from 278.15 to 348.15 K. The experiments conducted by means of a “static−analytic” apparatus with phase analysis via gas chromatography, resulting uncertainties 0.6 K temperature, 8 kPa pressure maximum 0.007 vapour liquid mole fract...

So far we have talked about the expectation of random variables, and moved on to the variance or the second moment. However, neither of these methods is strong enough to produce the tight bounds needed for some applications. We have already stated that if all you are given is the variance of a r.v., then Chebyshev’s Inequality is essentially the best you can do. Thus, more information is needed...

We present a formula for the values of the sign representations of the complex reflection groups G(r, p, n) in terms of its image under a generalized Robinson-Schensted algorithm.

We propose an analogue of Solomon’s descent theory for the case of a wreath product G Sn, where G is a finite abelian group. Our construction mixes a number of ingredients: Mantaci-Reutenauer algebras, Specht’s theory for the representations of wreath products, Okada’s extension to wreath products of the Robinson-Schensted correspondence, and Poirier’s quasisymmetric functions. We insist on the...

are known as Lieb-Thirring bounds and hold true with finite constants Lγ,d if and only if γ ≥ 1/2 for d = 1, γ > 0 for d = 2 and γ ≥ 0 for d ≥ 3. Here and in the following, A± = (|A| ± A)/2 denote the positive and negative parts of a self-adjoint operator A. The case γ > (1 − d/2)+ was shown by Lieb and Thirring in [21]. The critical case γ = 0, d ≥ 3 is known as the Cwikel-Lieb-Rozenblum inequ...