一种非简谐的微振动模型

研究了一类特殊的非简谐运动———对称双弹性振子的横振动,得到了在微振动条件下的严格解,发现其运动周期与振幅的大小成反比,其波形对于简谐波的形变系数较小,且与振幅的大小无关.     

A note on a lemma of Shimura

The subject of this paper is a quaternion algebra over a quadratic extension of a totally real algebraic number field. We generalize an important technical lemma of Shimura, on which a certain period of automorphic forms depends.

     

Galois Theory of B dR +

We formulate and prove necessary and sufficient conditions for the Galois correspondence to hold for the ring of p-adic periods B+dR.     

Measures of Simultaneous Approximation for Quasi-Periods of Abelian Varieties

We examine various extensions of a series of theorems proved by Chudnovsky in the 1980s on the algebraic independence (transcendence degree 2) of certain quantities involving integrals of the first and second kind on elliptic curves; these extensions include generalizations to abelian varieties of arbitrary dimensions, quantitative refinements in terms of measures of simultaneous approximation, as well as some attempt at unifying the aforementioned theorems. In the process we develop tools that might prove useful in other contexts, revolving around explicit “algebraic” theta functions on the one hand, and Eisenstein's theorem and G-functions on the other hand.     

A discrete-time single-server queue with set-up time

This paper studies a generalization of the GI/G/1 queueing system in which there is a random ‘set-up’ time for customers who arrive when the server is idle. Mathematical methods are given for finding various transient characteristics of the system.     

Dynamics of elementary maps of dendrites

The notion of elementary map of a dendrite into itself is introduced. Arithmetical relations between the periods of periodic points are given; the structure ofω-limit sets, sets of periodic and nonwandering points is described; the topological entropy of elementary maps is shown to be equal to 0. Examples are given illustrating the differences in the entropic properties of continuous maps of dendrites with a countable set of branch points and continuous maps of their retracts which are finite trees. Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 183–195, February, 1998. This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01755.     

Valeurs Exceptionnelles de Fonctions Hypergéométriques d’Appell (Exceptional Values of Appell Hypergeometric Functions)

In his article [18], J. Wolfart studied the following exceptionnal set where F is the classical, or Gauss hypergeometric function. The first aim of the present article is to describe the exceptional set in the case of Appell hypergeometric functions, which are a generalization to two variables of the Gauss functions. The link will then be made between, on the one hand, the distribution of complex multiplication points (described by Appell function in the article [5] of P. Cohen and J. Wolfart) on a fixed modular variety, using a André-Oort conjecture, and on the other hand, the arithmeticity of the monodromy group related to this function. Lastly, we will see how the localization of certain complex multiplication points leads to the transcendance of the values of Appell hypergeometric functions, at algebraic points.     

Automata and transcendence of the Tate period in finite characteristic

Using the techniques of automata theory, we give another proof of the function field analogue of the Mahler-Manin conjecture and prove transcendence results for the power series associated to higher divisor functions .

     

中小企业动态联盟生产计划与库存控制

动态联盟是敏捷制造的一种实施形式,从生产管理的角度,结合我国中小企业的特点,研究在由中小企业组成的区域性动态联盟中MRP的适应性问题,并结合实例提出动态联盟MRP计划的编制原理和实施方法。     

Characterization of thermally assisted hydrolysis and methylation products of polyphenols from modern and archaeological vine derivatives using gas chromatography-mass spectrometry

If some ceramics, such as vinary amphorae attest the consumption and trade of wine in the Roman world, the first wine productions in Occident often stay undocumented. Chemical analysis of organic materials preserved in archaeological vessels is the only way to bring new lights about the elaboration and the consumption of this fermented beverage. To determine the preservation state of wine and other grape derivatives residues, we proceeded to in situ tetramethylammonium hydroxide (TMAH) treatment followed by thermally assisted hydrolysis and methylation—gas chromatography—mass spectrometry (THM-GC-MS). The objectives of the study were (i) the understanding of the pyrolytic mechanisms of proanthocyanidins and (ii) the assessment of the usefulness of thermochemolysis for the identification of phenolic markers from polymeric solid deposit in modern wine bottle and Roman amphorae. THM-GC-MS was revealed to be an efficient method for the characterization of fruit derivatives even if mixed with another organic material, such as pitch used to ensure the watertightness of the ceramic container. The preservation of tannins during millennia in archaeological context is here enlightened for the first time by using analytical pyrolysis. The proposed identification of vinary residues is now based on the detection of the association of more than 30 pyrolytic markers derived from di- and trimethoxylated benzenoid compounds. THM-GC-MS represents a new method for the rapid detection of wine traces in ancient ceramics, adapted to tiny samples (<0.1 mg), allowing to precise the role and function of pottery during antiquity.