Quantum stochastic resonance in the dissipative two-state system

Summary We look for stochastic resonance in the very low temperature limit, where a quantum-mechanical treatment is needed. The canonical example of a dissipative double-well potential subject to periodic forcing is studied within the two-state approximation. The cases of both ohmic and superohmic dissipation are investigated in detail. Paper presented at the International Workshop ?Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena?, Elba, 5–10 June 1994.     

Restricted Interpolation and the Projective Beth Property in Equational Logic

Interconnections between syntactic and categorical properties of equational theories are established. The notions of restricted interpolation and of restricted amalgamation are introduced and their equivalence proved; interrelations of the above-mentioned properties and the projective Beth property, interpolation, and amalgamation are studied.     

Excluded Middle versus Choice in a topos

It is shown for an arbitrary topos that the Law of the Excluded Middle holds in its propositional logic iff it satisfies the limited choice principle that every epimorphism from 2 = 1 ⊕ 1 splits. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

多值D/A 转换器分流电阻网络研究

本文通过对D/A 转换数学表示的分析, 用电流分流方法解释了二值D/ A 转换器使用电阻网络的物理实现, 并在此基础上提出了三值D/ A 转换器分流电阻网络。该D/A 转换器仅用一个标准参考电源, 不论开关处在何种状态, 电源的负载均不变, 从而提高了D/A 转换器的精度。该设计为多值数字信号直接转换成模拟信号提供了手段。本文还提出了对称三值的D/ A 转换器分流电阻网络。     

Parity violation effects of weak interactions on the origin of biomolecular chirality

Summary The process through which the extremely weak parity violation interaction can become the selector of biomolecular chirality via beta-radiolysis over a timet=1500 y is proposed. The mechanism is discussed by using realistic values of the rate constants.

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Riassunto Si dimostra che l'interazione debole avrebbe indotto l'attuale chiralità delle molecole biologiche. Il meccanismo proposto è quello della radiolisi. Usando opportuni valori dei parametri cinetici, l'arco temperale del fenomeno è stimato in 1500 anni.

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Резюме Предлагается процесс, с помощью которого чрезвычайно слабое взаимодействие с нарушением четности может стать селектором биомолекулярной киральности через бета-радиолиз в течениеt=1500 лет. Обсуждается предложенный механизм, используя реалистические значения для постоянных взаимодействия.

     

谓词逻辑系统MTL∀中公式的公理化真度

命题逻辑及谓词逻辑计量化是逻辑系统的研究热点之一。在左连续三角模的谓词逻辑系统MTL?中,利用公理化方法提出了MTL∀公式的真度,证明了该真度的MP规则、HS规则及交推理规则;同时在谓词逻辑系统MTL?的一阶闭逻辑公式集中引入了相似度和伪距离,证明了关于相似度的一些良好性质,并讨论了逻辑运算关于伪距离的连续性问题。     

Prebiotic chemistry: A fuzzy field

If prebiotic chemistry is defined as the study of the chemical steps, which lead to the first organisms, a clear-cut definition of “living organism” is needed. Unfortunately, no unambiguous and universally accepted definition exists for the concept “living”. Under these conditions, fuzzy logic is probably the methodological tool that can best be used to handle questions pertaining to “the origin of life”. A conventional scale must, however, be defined which interestingly enough, depends necessarily on our present-day scientific knowledge.     

Molecular Logic Gate Arrays

Chemists are now able to emulate the ideas and instruments of mathematics and computer science with molecules. The integration of molecular logic gates into small arrays has been a growth area during the last few years. The design principles underlying a collection of these cases are examined. Some of these computing molecules are applicable in medical‐ and biotechnologies. Cases of blood diagnostics, ‘lab‐on‐a‐molecule’ systems, and molecular computational identification of small objects are included.     

格蕴涵代数的（∈,∈∨q~[k]）-fuzzy LI-理想

运用fuzzy集的思想和方法研究格蕴涵代数的LI-理想.引入了（∈,∈∨q[k]）-fuzzy LI-理想和（∈,∈∨q[k]）-fuzzy格理想的概念,讨论了它们的性质及相互关系.获得了（∈,∈∨q[k]）-fuzzy LI-理想的若干等价刻画;证明了在格H蕴涵代数中（∈,∈∨q[k]）-fuzzy LI-理想和（∈,∈∨q[k]）-fuzzy格理想相互等价的结论.     

Fuzzifying拓扑中的Pre-网收敛

运用连续值逻辑语义的方法研究fuzzifying拓扑空间,从Pre-开集出发引入了Pre-导集的概念,并且给出了它的一些性质,进一步探讨了Pre-网收敛理论.这些研究有助于丰富和发展fuzzifying拓扑学的基本理论.