This paper is concerned with a study of approximation order and construction of locally supported elements for the space S1 4 (∆) of C 1 pp (piecewise polynomial) functions on an arbitrary triangulation ∆ of a connected polygonal domain Ω in R2. It is well known that even when ∆ is a threedirectional mesh ∆(1), the order of approximation of S1 4(∆ (1)) is only 4, not 5. The objective of this pa...

We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We show that the levels of the polynomial hierarchy correspond to safe recursion with predicative minimization and the levels of the digital polynomial hierarchy to safe recursion with digital predicative minimization. A...

This paper is concerned with a study of approximation order and construction of locally supported elements for the space S 1 4 (() of C 1 pp (piecewise polynomial) functions on an arbitrary triangulation of a connected polygonal domain in R 2. It is well-known that even when is a three-directional mesh (1) , the order of approximation of S 1 4 (((1)) is only 4, not 5. The objective of this pape...

The traditional zero-one principle for sorting networks states that ”if a network with n input lines sorts all 2n binary sequences into nondecreasing order, then it will sort any arbitrary sequence of n numbers into nondecreasing order.” We generalize this to the situation when a network sorts almost all binary sequences and relate it to the behavior of the sorting network on arbitrary inputs. ...

I obtain a closed-form solution for a general equilibrium model with incomplete markets and heterogeneous agents that allow for an arbitrary number of assets, an arbitrary number of aggregate states, and arbitrary shock distributions for asset returns. Agent heterogeneity has non-trivial implications for asset prices and risk premia. In a stationary equilibrium the conditional distribution of c...

‎In the following text for arbitrary $X$ with at least two elements‎, ‎nonempty countable set $Gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(X^Gamma,sigma_varphi)$ where $varphi:GammatoGamma$ is an arbitrary self-map‎. ‎We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney‎, ‎exact Dev...

background: endometrial cancer is the most common gynecologic malignancy that has often proceeded by a premalignant phase. modern molecular and immune staining methods for precancerous lesions diagnosis have been expanded. one of the genetic alternations in the endometrial cancer carcinogenesis is the mutational activation of the k-ras oncogene. k-ras mutation has recognized to occur at an earl...

A method has been developed which automatically generates SMARTS patterns for four-atomic torsional fragments, searches experimental structures in the Cambridge Crystallographic Database, and obtains rules for preferred torsion angles in drug-size molecules. These rules can be used for exhaustive conformational analysis using the popular conformer generator OMEGA. This approach results in an ov...

Radial velocity (RV) monitoring of solar-type visual binaries has been conducted at the CTIO/SMARTS 1.5-m telescope to study short-period systems. Data reduction is described, mean and individual RVs of 163 observed objects are given. New spectroscopic binaries are discovered or suspected in 17 objects, for some of them orbital periods could be determined. Subsystems are efficiently detected ev...