Useful properties of the coefficients of the Slevinsky-Safouhi formula for differentiation

Properties of coefficients of the Slevinsky-Safouhi formula are derived. These properties are: matrix and orthogonality properties; the characterization of a zero array; generating functions; asymptotics; and, recurrence relations for computing a sum as efficiently as possible. These properties are useful in a numerical or computational setting.     

A “no causal rivalry” solution to the problem of mental causation

Stephen Yablo has recently argued for a novel solution to the mental causation problem: the mental is related to the physical as determinables are related to determinates; determinables are not causal rivals with their determinates; so the mental and the physical are not causal rivals. Despite its attractions the suggestion seems hard to accept. In this paper I develop the idea that mental properties and physical properties are not causal rivals. Start with property dualism, supervenience, multiple realizability, and the claim that no more than one supervenience base for a mental property can be had by a single instance of the mental property. Then a probabilistic account of causation will be unable to certify either mental properties or physical properties as causal factors for effect types. I suggest that this shows that we should not count mental properties as causal rivals with physical properties.     

Coefficient rings of numerical semigroup algebras

Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of a flat numerical semigroup algebra. In this paper, we show that arithmetic and set-theoretic properties of a numerical semigroup ring are properties of an equi-gcd numerical semigroup algebra.

     

Modeling the migration of cancer cells in the bloodstream

We model the migration of cancer cells that have broken away from a tumor and are circulating in the bloodstream. Using the immersed boundary method and culling from literature the material properties of cancer cells, we simulate how cells deform as a function of the flow properties of the bloodstream as well as the adhesive properties between the cancer cells and the endothelial cells of the bloodstream. We also simulate the migration characteristics as a function of the migrating cell density. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

On strong size levels

H. Hosokawa introduced the concept of a strong size property as a generalization of a Whitney property. In this paper we determine whether some properties are either m-strong size properties, m-strong size-reversible properties or m-sequential strong size-reversible properties.     

Stability in terms of two measures of hybrid systems with partially visible solutions

A smooth functioning system with some stability properties may break down abruptly due to unexpected disturbances and the entire mechanism may collapse. The system, in general, is made operable in a phased manner and after a finite time may again run smoothly, with some other stability properties. We explore this whole mechanism as a hybrid system and study the stability properties in terms of two measures so as to cater to a very general set up.     

抽样设计偏差的大样本性质

偏差（Ｄｉｓｃｒｅｐａｎｃｙ）作为布点设计均匀性的一个重要度量准则,已被使用很长时间,但对它的性质还研究得很不够．该文从模平移的方面系统地研究了偏差的性质,给出了在超立方体中一个布点设计按整体、大格子、小格子各种模平移的偏差大样本性质,这些性质对于计算机试验引进有关的设计和抽样方法起着重要的作用．     

Nanoindentation testing and modeling of chromium-carbide-based composites

High-resolution measurements of mechanical properties are of immense importance in the design of new composite materials. Measuring the intrinsic properties of each phase separately in multiphase composites gives information on the spatial heterogeneity of their local properties and serves as a guide to process engineering and to the design of advanced materials. In this study, the nanoindentation, X-ray analysis, and microstructural SEM investigations have been used to reveal the properties and structural features of ceramic-metal composites — chromium-carbide-based cermets. The semiellipse method for the account of pileups has been applied to this multiphase material to determine the hardness and elastic modulus of the constituent phases. After reconsideration of the contact area, the properties of the phases showed a good agreement with published data. Finally, the measured local elastic properties were used as inputs for modeling the effective elastic response of these materials, and a very good agreement with experimental results was found.     

Properties of premium calculation principles

All theoretical premium principles, which use a utility function (such as exponential principle, mean value principle, zero utility principle, Swiss premium calculation principle, Orlicz principle, Esscher principle) are analyzed in the light of practical properties such as homogeneity (as usual for quota shares) and sub-additivity. It is proved that a theoretical premium principle, which fulfills only very weakened forms of both practical properties, reduces necessarily to the net premium principle. Therefore it is impossible that the principles and the properties above are reasonable simultaneously.     

On the problem of oscillation properties of positive differential operators with singular coefficients

A criterion for a highly singular positive fourth-order operator with separable boundary conditions to have oscillation properties, as well as sufficient conditions for similar higher-order operators to have oscillation properties, are obtained.     

An application of the TODIM method to the multicriteria rental evaluation of residential properties

This article presents an evaluation study of residential properties carried out together with real estate agents in the city of Volta Redonda, Brazil. The study aimed to define a reference value for the rents of these properties using the TODIM method of Multicriteria Decision Aiding. By applying this method to the ordering of properties with different characteristics, a ranking of all the properties was obtained and, as a result of this, diverse ranges of rental values for the properties under analysis. The study was complemented by an analysis of the sensitivity of the numerical results obtained.     

Changes of variables in modulation and Wiener amalgam spaces

In this paper various properties of global and local changes of variables as well as properties of canonical transforms are investigated on modulation and Wiener amalgam spaces. We establish several relations among localisations of such spaces and, as a consequence, we obtain several versions of local and global Beurling–Helson type theorems. We also establish a number of positive results such as local boundedness of canonical transforms on modulation spaces, properties of homogeneous changes of variables, and local continuity of Fourier integral operators on ${\mathscr F}L^q$. Finally, counterparts of these results are discussed for spaces on the torus.     

Orders of Indescribable Sets

We extract some properties of Mahlo’s operation and show that some other very natural operations share these properties. The weakly compact sets form a similar hierarchy as the stationary sets. The height of this hierarchy is a large cardinal property connected to saturation properties of the weakly compact ideal.     

On Homomorphisms of Fuzzy Groups

Clarification is suggested for the early notion of homomorphisms of fuzzy groups. Conditions are considered for fulfilment of various properties of homomorphisms of ordinary groups as well as properties specific to systems with a fuzzy operation. Correctness is discussed of the introduced notion of preservation of a fuzzy operation.     

Certain subclasses of multivalent analytic functions defined by multiplier transforms

By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved.     

Mechanical properties of a polyamide 6-reinforced PTFE composite

Polytetrafluoroethylene (PTFE) blends with polyamide 6 (PA6) in various ratios were prepared in a corotating twin-screw extruder, where PTFE acted as a polymer matrix and PA6 as a disperse phase, and the morphology and mechanical properties of the blends were investigated by using SEM. With increasing content of PA6 in the blends, their flexural properties improved. The interfacial adhesion promoted the creation of an interphase between the PTFE and PA6 and led to improved mechanical properties of the material. The mechanical properties of the blends were optimum at 30 vol.% PA6. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 45, No. 3, pp. 419-426, May-June, 2009.     

Approximate Predetermined Convergence Properties of the Gibbs Sampler

This article aims to provide a method for approximately predetermining convergence properties of the Gibbs sampler. This is to be done by first finding an approximate rate of convergence for a normal approximation of the target distribution. The rates of convergence for different implementation strategies of the Gibbs sampler are compared to find the best one. In general, the limiting convergence properties of the Gibbs sampler on a sequence of target distributions (approaching a limit) are not the same as the convergence properties of the Gibbs sampler on the limiting target distribution. Theoretical results are given in this article to justify that under conditions, the convergence properties of the Gibbs sampler can be approximated as well. A number of practical examples are given for illustration.     

On Homomorphisms of Fuzzy Groups

Clarification is suggested for the early notion of homomorphisms of fuzzy groups. Conditions are considered for fulfilment of various properties of homomorphisms of ordinary groups as well as properties specific to systems with a fuzzy operation. Correctness is discussed of the introduced notion of preservation of a fuzzy operation.     

Hereditary quasirandom properties of hypergraphs

Thomason and Chung, Graham and Wilson were the first to systematically investigate properties of quasirandom graphs. They have stated several quite disparate graph properties — such as having uniform edge distribution or containing a prescribed number of certain subgraphs — and proved that these properties are equivalent in a deterministic sense.     

Analysis of coordinate and other transformations of models of dynamical systems by the reduction method

The issues of preserving dynamic properties when passing from a system of differential equations to another system obtained by a change of variables, as well as the issues of preserving the properties in the opposite direction, are considered. The potential of the reduction method, which was proposed earlier, in resolving these questions are demonstrated by the examples of such properties as stability, attraction, and dissipativity. Similar issues are investigated for the case when the second system is obtained in a way characteristic for the comparison method with vector Lyapunov functions. The application of one of the obtained dissipativity criteria to analyzing the nonlinear dynamics of a group of moving objects is considered.