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可分性和可替代性。Divisibility and fungibility.

因此可分性是货币的一个重要特性。So divisibility is a key property of money.

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因我们知道客户信心建立在质量、秀丽和可靠性。It builds the confidence in the quality, the beauty and divisibility.

“离线性“和“可分性”是电子现金系统应具备的重要性质。Off-line and divisibility are two essential properties in E-cash system.

可分割性也进一步说明了金银普遍用作货币的原因。Divisibility helps to account for the popularity of both gold and silver as money.

探讨在离线电子现金系统中的两种当前最主要的可分性解决方案。It will discuss two main scheme of divisibility in off-line electronic cash system at present.

此外，本方案支持数字货币的可分性和可转移性。In addition, our scheme supports divisibility and transferability of digital coins in a simpler way.

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如何求得最优化的电子现金集合以及如何用该集合来完成支付是解决“可分性”问题的关键。How to get the optimal set of coins and how to accomplish payment with the set are the keys to solve the divisibility problem.

数学归纳法可以用来证明与正整数有关的恒等式、不等式、整除性问题和几何问题等。Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.

最后，证明了带有左整除序关系的链的零半群是左△-序半群。We finally prove that the nil ordered semigroups which are chains with respect to the divisibility ordering are left △-ordered semigroups.

本文就整数的整除性判断的重要方法——割尾法的理论与实践进行了初步探索。The essay has done the first research to the theory and practice of the end-cutting method which is an important method to judge the divisibility of integer.

针对整数论中数的整除特征进行了研究，从理论上解决了任意整数的整除特征问题。This paper studies the numeral divisibility characteristic of round number, and solves the problem in theory about the divisibility characteristic of any round number.

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特别地，我们还讨论了序零半群，给出了这类半群与偏序半群上的左整除关系链的关系。In the paper we introduce the concepts of L-trivial, nil ordered semigroups and give every ordered semigroup is L-trivial if and only if the left divisibility relation is an order.

介绍了左△-序半群和完全左同余的概念，给出了左整除序关系的链的性质。In this paper, the concepts of left △-ordered semigroups and complete left congruences are introduced and some properties which left divisibility ordering relation form a chain are given.

针对机械产品的相对性、多目标性和多解性，根据系统可分性原理，建立系统层次灰关联分析模型。Aimed at the relativity, multiple targets and multiple solutions, according to the theory of the divisibility in system, the analysis model of system level gray correlation is established.

“一对企业”视角下主要考虑行业相关性、目标资源可分割性、管理成本、协同效应持久性、交易不确定性。As to the "one to one perspective" it tells something about industry relevance, the divisibility of the target resources, management costs, synergies persistence and transaction uncertainty.