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多态反应是一类广泛存在于金属酶催化、光化学弛豫、电子转移等过程中的独特化学反应。准确描述多态反应中的态与态之间的转换过程,对理解阐释相关化学反应机制至关重要。通过定位极小能量交叉点(minimum energy crossing point,MECP),可以从能量和结构的角度讨论态与态之间的转换过程。相比于难度高、计算代价昂贵的非绝热分子动力学等方法,直接优化MECP可以在不损失关键化学信息的前提...
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
This paper develops a novel method for policy choice in a dynamic setting where the available data is a multivariate time series. Building on the statistical treatment choice framework, we propose Tim...
Urban carsharing services provide flexible, affordable and green mobility options where customers can pick up a car from one station and return it to the same station (round trip) or any other station...
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...
this study examines how errors in measuring marginal attribute prices vary with the form of the hedonic price function. In simulations, consumers with known utility functions bid for houses with ei...
Current scientific techniques in genomics and image processing routinely produce hypothesis testing problems with hundreds or thousands of cases to consider simultaneously. This poses new di...
Abstract: One of the benefit properties implied by the extensionality axiom of Hilbert's epsilon calculus is that the calculus becomes complete with respect to the choice structures as semantics. Anot...
Abstract: The paper considers a variable length Markov chain model associated with a group of stationary processes that share the same context tree but potentially different conditional probabilities....
A key fact in the theory of Boolean functions $f : \{0,1\}^n \to \{0,1\}$ is that they often undergo sharp thresholds. For example: if the function $f : \{0,1\}^n \to \{0,1\}$ is monotone and symmetr...
We study the reverse mathematics of countable analogues of several maximality principles that are equivalent to the axiom of choice in set theory.
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
In Comparison to Macnemar test, the Stuart-Maxwell test is considered to be a useful tool in determining the homogeneity of qualitative variables. In examing the answer keys to the final tests at Paym...
In this paper, based on a non-monotone utility function being revised to a monotone utility function, we study the multi-period and continuous-time optimal consumption-investment choice model, and giv...
This paper presents a new mathematical model of a redundancy allocation problem with mixing components redundant in subsystems of a series-parallel system when the redundancy strategy can be chosen fo...

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