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Results Two new characterizations of regular rings are given.(1) If R is a left SF'-ring and R/Z is reduced, then R is strongly regular;(2) R is strongly regular if and only if R is a left SF'-ring whose every idempotent element of R is left semi-center and is LANE-ring.

结果 得到了SF'-环是强正则环的两个充要条件：(1)R是左SF'-环，如果R/Z是约化的，则R是强正则环；(2)R是强正则环当且仅当R是满足幂等元左半中心的左SF'-环，且R是LANE-环。

ResultsThe ultrasonic indicators, such as interventricular septum thickness, left ventricular posterior wall thickness, left ventricular mass and left ventricular mass index were statistically different between the two groups.

结果OSAHS组与正常对照组比较室间隔厚度，左室后壁厚度，左室质量及质量指数等主要反映心脏结构的超声指标比较差异均有统计学意义。

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

The isolated working heart model was set up, high-performance liquid chromatography were used to measure myocardial adenosine triphosphate,total adenine nucleotides, while left ventricular end-diastolic pressure,left ventricular developed pressure, and rate of change of left ventricular pressure were determined before and after preservation.

对照组用St Thomas停搏液停搏并保存大鼠心脏6小时；实验组在St Thomas液中加入前列腺素E1(5 μg/L)停搏并冷保存6小时，利用离体鼠心非循环式Langendorff灌流功能测定模型，测定左心室舒张期末压、左心室发展压和左心室压力变化率，并检测心肌细胞线粒体三磷酸腺苷、腺嘌呤核苷酸总量。

This paper applies a software ANSYS to calculate the bridge of Kazi gulf in three-dimensional entity model, compute the left bridge under the initial and the gravity before gather together, carry on left bridge and the whole bridge'mode analyses, finally analyze the left bridge under artificial seismic waves.

本文应用大型有限元软件ANSYS 对卡子湾大桥三维实体模型进行分析，计算左桥合拢前在预应力和重力组合作用下的应力状况，进行左桥和整桥的模态分析，最后分析左桥在人工地震波作用下的动力时程反应。

The first hall is JinGangDian, which enriches and worships the door gods in the tradition of four guardians history, which are 1 Oriental Snake Heavenly King: dressed in white, wearing armor piercings and helmets, with knife in left hand and sheath in right hand; 2 southern Sword Heavenly King: dressed in green, wearing armor piercings and helmets, with sword in hand; 3 western Lute Heavenly King: dressed in red, wearing armor piercings and helmets, with sheath in left hand and cable in right hand; 4 northern Umbrella Heavenly King: dressed in gold, wearing golden armor piercings, with tower in left hand and three-fork Qian in right hand and three-night fork ghosts under the feet.

进入本院入口山门即有一尊高大的观音立像，丛远处即可看到，观音像处于一个广场之中，广场的中央是一个放生池，本着人性本善的佛学思想，人们可以将鱼龟等生物在池中放生，即符合禅宗的思想，又达到动物保护的的目的，经过放生池才是寺院的正式入口，里面是按照传统寺院布置的三大殿，均为硬山式砖木结构，第一殿为金刚殿，里面供奉的四大金刚使传统中的门神，四大天王为： 1）东方持国天王：身白色，穿甲戴胄，左手把刀，右手执鞘；2）南方增长天王：身青色，穿甲戴胄，持宝剑： 3）西方广目天王：身红色，穿甲戴胄，左手执鞘，右手把赤索； 4）北方多闻天王：身金色，金甲胄，左手执宝塔，右手执三叉乾，脚踏三夜叉鬼，佛教的四大天王汉化便形成中国罗汉堂中的"四大金刚"，成为"风调雨顺"的化身： 1）持国天王魔礼寿：穿紫金龙花狐貂，职顺。

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

The following statement are the main results:Theorem 2.2.14 Let R be a reduced left morphic ring, then every left ideal of R is generated by a central idempotent. Hence every left ideal of R is also an ideal.

主要结果：定理2.2.14：设R是约化的左morphic环，则R的每一个左理想L都由中心幂等元生成，因而L也是理想。

Then we discuss comodule algebra on the Hopf algebroid. If L is finite generated as a left R-projective module, left L-comodule category is equivalent to the left L〓-module category.

然后讨论Hopf代数胚的余模代数，如果L是有限生成的左R-投射模，那么左L-余模范畴与左L〓-模范畴是等价的。

But in the movement of the time, people know more and more about left-handedness, they recognize that left-handedness is not an illness, and in some ways, left-handers are even clever than righter-handers.

但是随着时代的发展，人们对左利的了解越来越多，他们认识到左利并不是一种疾病，而且在一定程度上，左利者往往比右利者更聪明。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。