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We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

The compass card measures61/2 inches in diameter and is housed in its original brass bowl with glazed cover slung in gimbals within its original simple pine box measuring101/4 inches square and7 inches high.

指南针盘的直径有6.5英寸而且被封装在它特有的碗中，由有光滑表面的万向接头勾住，装在它特有的10.25英寸见方7英寸高的松木盒子里。

With the corresponding flow parameters measured through the experiments and the criterion equation mentioned above,the correlation formula of degassing efficiency of flow of gas/liquid two-phase flow through corrugated multicup isoflux gas anchor is obtained through the regression analysis using the least square method and the Gaussian elimination.The influences of the number of arris and concave depth and angle on degassing efficiency are analyzed.

利用量纲分析方法建立了气液两相流体在瓦棱状多杯等流型气锚中流动的准则方程；根据室内实验测得相应参数和准则方程，利用最小二乘法及高斯消去法进行回归分析，得到气液两相流体在瓦棱状多杯等流型气锚中流动时脱气效率的关联公式，并分析了棱数、凹入深度、角度对脱气效率的影响。

With the application of Partial Least Square technique and the input need of only 2-D molecular structure, it overcomes the difficulty of conformer alignment for 3D-QSAR techniques and avoids the multiple collinearity for traditional Multiple Linear Regression.

本文应用基于分子全息的QSAR技术研究了联苯以及209种氯代同系物的水溶解度、正辛醇水分配系数、总分子表面积、水活度系数和亨利常数等5种与生物累积性有关的理化性质以及气相色谱相对保留时间，建立了一批具有高度预测性的QSAR模型。

It is understood that the Nanchang free AIDS voluntary counseling and testing center covers an area of 100 square meters, has a relatively independent of the waiting area, consulting room and testing room, and set up a phone line, equipped with computer equipment and other publicity.

据了解，南昌市艾滋病自愿免费咨询检测中心占地100余平方米，拥有相对独立的候诊区、咨询室和检测室，并设立了专线咨询电话，配备了电脑等宣传设备。

Data analysis, I use the scientific statistical methods, the data descriptive statistics, correlation analysis, contingency table analysis, the chi-square test, Gamma coefficient test methods to be aligned with the actual results.

在数据分析方面，采用科学的统计方法，对数据进行描述统计、相关性分析、列联表分析、卡方检验、 Gamma 系数检验等方法，以期得到贴合实际的结果。

LetJbe a continuous map of a unit square into itself and f can be descendent. This paperpresents slecific featrue for f with homochinic points.

设f是可降的二维自映射，本文给出了这类自映射有异状点的特征──存在f的链回归点，但不是周期点，并且f的队极限点集与周期点集的交非空。

Further, it is proved that the semi-implicit Euler method is convergent with order 1/2 in mean square sense for the linear test equation by virtue of properties of the conditional expectation.

在此基础上由条件期望的性质证明了半隐式Euler方法应用于线性试验方程时在均方意义下是l／2阶收敛的。

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

Hengshui Department Store Company Limited was established in July 1996, with 2,600 employees, operating area of 72,000 square meters, the company in order to Hengshui City Department Store at the core, has formed a department store format, the supermarket chain Format, Format chain for household electrical appliances strategic focus of the operation pattern, the five main urban areas around the shopping district, Hengshui City is the largest and most representative business enterprises.

衡水百货大楼股份有限公司成立于 1996 年 7 月，拥有员工 2600 人，营业面积 7.2 万平方米，公司以衡水市百货大楼为核心，已形成百货业态、超市连锁业态、家电连锁业态为战略重点的经营格局，五大卖场遍布市区主要商圈，是衡水市最具规模和代表性的商业龙头企业。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。