Flux-vector and tlux-difference splittings for the inviscid terms of :hs compressible flc:\ equations are derived under the assumption of a general equation of state for a reai gas in squilibrium. No unnecessary assumptions. approximations, or auxiliary quantities are introduced. The formulas derived include several particular cases known for ideal gases and ;cadilq appi) to curvilinear coordin...

This study argues that diminishing marginal impatience (DMI ) as an intuitively plausible behavioural assumption of endogenous time preference has the potential for resolving important issues like the equity premium puzzle. It shows that, while applied to a model in the traditional overlapping generations (OG) framework, DMI is capable of generating assets prices with magnitude and volatility h...

Ranking alternatives is a natural way for humans to explain their preferences. It is being used in many settings, such as school choice (NY, Boston), course allocations, and the Israeli medical lottery. In some cases (such as the latter two), several “items” are given to each participant. Without having any information on the underlying cardinal utilities, arguing about fairness of allocation r...

A correct understanding of the law of diminishing returns both as to its application, as well as to its statement as a principle, is fundamental in any study designed to measure the effect of increasing units of an input factor upon the output whether this output be in the form of plant growth or animal production. Immediately following Von Liebig's emphasis of the need by plants of various min...

"The Law of Diminishing Returns" (Spearman, 1927) states that the size of the average correlation between cognitive tasks tends to be relatively small in high ability groups and relatively high in low ability groups. Studies supporting this finding have tended to contrast very low ability subjects (IQ < 78) with subjects from higher ability ranges and to use tests that have poor discriminatory ...

The cyberspace has become an integral part of modern day life—social, economic, political, religious, medical and other aspects. Without the availability of the Internet today’s businesses, government and society cannot function properly. Moreover, different online social media and blogosphere are bringing people together, providing platforms to share their ideas and allowing their voices to be...

We introduce the concepts of ∗-diminishing orbital diameters and diminishing orbital diameters for a pair (f ,g) of self mappings in metric spaces and prove common fixed point theorems for these mappings. The results obtained in this paper extend properly the result of Fisher (1978). 2000 Mathematics Subject Classification. 54H25.

We construct an interpolation operator that does not increase the total variation and is defined on continuous first degree finite elements over Cartesian meshes for any dimension d and right triangular meshes for d = 2. The operator is stable and exhibits second order approximation properties in any Lp, 1 ≤ p ≤ ∞. With the help of it we provide improved error estimates for discrete minimizers ...

Relativistic temperature of gas raises the issue of the equation of state (EoS) in relativistic hydrodynamics. We study the EoS for numerical relativistic hydrodynamics, and propose a new EoS that is simple and yet approximates very closely the EoS of the single-component perfect gas in relativistic regime. We also discuss the calculation of primitive variables from conservative ones for the Eo...