一阶

A abstract algebra group composed of one element is the highest abstraction of the mathematical models researched in this paper.

一阶的有限群是对本文研究的初等代数运算描述的数学模型的最高形式的抽象。

This dissertation uses the First-Order Logic to describe the access authority of the agent, which is more flexible and expressive.

文中采用一阶谓词逻辑描述主体的访问权限，具有更强的表达能力和灵活性。

The existence of the Friars Minor or first order properly dates from 1209, in which year St. Francis obtained from Innocent III an unwritten approbation of the simple rule he had composed for the guidance of his first companions.

所存在的friars未成年人或一阶妥善的日期从1209年，在哪一年圣弗朗西斯获得了由诺森三世一个不成文的赞许的简单的规则，他已组成为指导，他的第一同伴。

With the background of application of fuzzy control techniques to a rather typical complex control system, gas-burning water heater, theories, applications and techniques of fuzzy information processing have been studies. The obtained results include:(1) For lattice-valued logic systems based on lattice implication algebras, two dynamical lattice-valued propositional logic Lvpl and lattice-valued first-order logic Lvfl have been constructed, and some theories and methods of fuzzy reasoning have been proposed based on fuzzy set theory and multi-valued logic.(2) Some methods for designing and optimizing fuzzy control systems and some corresponding control algorithms have been proposed, and some new theories and methods for fuzzy control rule base and fuzzy control system performance analysis have been introduced.(3) 6 fuzzy control systems have been developed, and some difficult problems on craft of manufacture, batch consistency, quality stability, installation and main

本项目以模糊控制技术用于燃气热水器这一较典型的复杂控制系统为应用背景，在模糊信息处理的理论、应用和技术三个层次开展了相关的研究工作：(1)进一步研究了基于格蕴涵代数的格值逻辑系统，建立了两种动态的格值命题逻辑Lvpl和格值一阶逻辑Lvfl，并基于模糊集理论和多值逻辑提出了多种模糊推理的理论与方法；(2)提出了模糊控制系统的多种设计及优化方法与控制算法，建立了模糊控制规则库和模糊控制系统性能分析的一些新理论与新方法；(3)研制完成了6个模糊控制系统，还特别解决了模糊控制燃气热水器和智能控制燃气热水器在产业化过程中的生产工艺、批量一致、质量稳定、安装维修和性能价格等一系列难题，做好了批量生产前的技术准备，现已小批量生产。

Wave equation migration velocity analysis is a linearized inverse problem.

波动方程偏移速度分析是一种线性反演方法，它要求对Born近似的展开序列作一阶截断。

The second-order post-Newtonian(2PX) equations of light ray have to be discussed under the recent extension of the DSX scheme which was founded in early 1990's to discuss a complete first-order post-Newtonian celestial mechanics for N arbitrarily composed and shaped, rotating deformable bodies.

DSX体系是在20世纪90年代初建立的，用来讨论对N个任意形状和组成、自转可变形物体的一套完整的一阶后牛顿(1PN)天体力学理论。

And then the influence of two of the damage models, the Kachanov and the gradient-dependent constitutive equations, on the well-posed properties of the fundamental equations in continuum damage mechanics is studied according to the characteristic method of the quasi-linear partial differential equations under the case of one dimension elastic damage.

首先从非局部理论出发，推导了应变梯度损伤本构方程；然后利用一阶拟线性偏微分方程组的特征理论，在一维弹性损伤情况下分析了两种不同的本构模型，即Kachanov损伤本构方程与应变梯度损伤本构方程，对连续介质损伤力学基本方程适定性的影响。

In this paper, the authors propose a temporal approaching relation and give a sort of temporal relations of propositions, based on Shoham s temporal logic, they propose a temporal logic which can describe uncertainty relation and is based on time--point and time--interval in proposition and first order case.

本文提出了时态逼近关系，并给出了命题不确定性时态关系的一种分类，在Shoham的时态逻辑基础上，对命题和一阶两种情况，提出了能描述不确定性时态关系，基于时间点和时间区间的时态逻辑。

A method of snow covered ground simulation using the first-order radioactive transfer model is described in this paper.

介绍一种基于一阶辐射传输的积雪散射模型。

When the pope, in 1892, undertook to unite in one order the three Congregations of La Trappe, His Holiness caused the Congregation of Bishops and Regulars to address a letter to the Cistercians of the Common Observance inviting them to join their brethren of the Reformed Observance of La Trappe.

当教宗，在1892年，答应团结在一阶三个教区的La Trappe ；，他的圣洁引起会众的主教和常客，解决了一封信给cistercians的共同遵守，邀请他们参加，他们兄弟的改革，遵守镧

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。