查询词典 completely continuous function

If each term of the series u1+u2+…un+…is continuous on the interval［a,b］, and this series is uniformly convergent on［a,b］, then its sum function is also continuous on ［a,b］.

若级数u1+u2+…un+…的每一项在［a，b］上连续，而且这级数在［a，b］上一致收敛，则它的和函数也在［a，b］上连续

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

Theorem 2 If the functionis continuous and increasing on the interval, then its inverse function is also continuous and increasing on the corresponding interval.

定理 2 如果函数在区间上单调增加且连续，那么它的反函数也在对应的区间上单调增加且连续。

In part 3, utilizing the existing Lipschitz results and the property of Yosida approximation of monotone and continuous function, we prove the existence and uniqueness theorem of a general backward stochastic differential equation with monotone and continuous coefficient.

第三部分在系数仅满足单调连续这样一个新条件下，我们综合运用单调连续函数的Yosida逼近的性质以及Lipschitz条件下的已有结果，证明了一般形式的倒向随机微分方程解的存在唯一性。

Then, with the assumption that the consumption of an investor is the continuous or piecewise continuous function of time, the corresponding optimal investment decision and the effective frontier are derived by using the stochastic linear-quadratic control.

假设投资者的消费是时间的连续函数或者分段连续函数，应用线性二次随机控制的方法得到了这两种情形下的最优投资决策和有效前沿。

In this paper, we prove that a continuous function defined on a subest D with property L of R is uniformly continuous.

证明了如果R的子集D具有性质L，则定义在D上的连续函数是一致连续的。

In the spiral pipe heat exchanger exports terminal, the ammonia steam temperature has been heated up 85 ℃--95 ℃, by now, the ammonia steam had the 45kg-55kg/cm2 ammonia steam pressure, sent in the ammonia steam turbine through the constant temperature pipeline, impelled ammonia steam turbine revolving, led the generator electricity generation;After the ammonia steam makes the merit release energy, the temperature drop, the returns ammonia storage tank, passes through again adjusts the press pump to press into the spiral pipe-type heat exchangers to carry on the next circulation;Including the ammonia steam turbine entire ammonia steam road is becomes the independent closed cycle system, is isolates completely with the outside air;The ammonia steam only plays the carryhome and the shift energy role, in the electricity generation process does not consume the actuating medium, the stored energy carrier water also is only gets up the carryhome and the shift energy function,The waterway also is from becomes the independent closed cycle system, in the electricity generation process also the needless water consumption, through the actuating medium ammonia steam and the stored energy carrier water unceasing shuttle service, transforms through the heat interchanger the solar energy as the actuating medium ammonia steam heat energy and the kinetic energy,With the aid of the ammonia steam turbine heat - machine transformation function and the generator machine - electricity transformation function, has realized the solar energy hot - electricity entire conversion process, transforms continuously the solar energy into the electrical energy, power supply for foreign;The low temperature generating system must solve three big technical keys:One, the anticorrosion (has actuating medium has strong corrosiveness), two is Explosion-proof (Some actuating medium Can have the detonation with the air mix when divulging, controls warm malfunction, elevates temperature suddenly also can have detonation), three is guards against the revolution axis divulging

以太阳能低温发电系统为例，低温发电方法是这样进行的：以水作为储能载体的太阳能采集器将太阳能采集起来，将水温提升至85℃--98℃；用氨作为工作介质储于氨储罐及氨汽路中；采用螺旋管型热交换器；用调压泵将氨储罐中的氨汽压入螺旋管型热交换器的螺旋管内，用调压泵将携带太阳能的85℃--98℃的储能载体热水压入螺旋管型热交换器的螺旋管外壁空间进行循环式热交换，在热交换器的螺旋管出口端，氨汽温度已被加热到85℃--95℃，这时，氨汽具有45kg—55kg/cm2的氨汽压力，通过恒温管道送入氨汽轮机，推动氨汽轮机旋转，带动发电机发电；氨汽作功释放能量后，温度下降，返回氨储罐，再经调压泵压入螺旋管型热交换器进行下一次循环；包括氨汽轮机在内的整个氨汽汽路是自成独立的封闭循环系统，与外界空气是完全隔绝的；氨汽只起携带和转移能量的作用，发电过程中并不消耗工作介质，储能载体水也是只起携带和转移能量的作用，水路也是自成独立的封闭循环系统，发电过程中也不消耗水，通过工作介质氨汽和储能载体水的不断循环运行，通过热交换器将太阳能转化为工作介质氨汽的热能和动能，借助氨汽轮机的热—机转化功能和发电机的机—电转化功能，实现了太阳能的整个热—电转化过程，将太阳能源源不断地转变为电能，对外供电；低温发电系统要解决的三大技术关键：一是防腐（有的工作介质具有较强的腐蚀性）、二是防爆（有的介质泄漏与空气混合会产生爆炸，控温失灵，急剧升温也会产生爆炸）、三是防轴漏（汽轮机是动态旋转体，必须解决工作介质的防轴漏问题）。

The client application is designed under multiple document interface structure to make it both aesthetic and practical. The task of security management may be done at the application level with the aid of safe logon function module. The data query function is very applicable and could be applied in many cases. Graph section displays heating information with diverse kinds of figures. Two completely different printing ways are depicted in the printing function module.

客户端应用程序的设计采用了多文档结构，力求美观、实用；系统安全登录功能的设计使安全管理工作可以在应用程序的层次上完成；数据的查询操作适用性强，并具有一定的通用性；图形部分实现了供热信息的多种图形显示；打印处理模块描述了两种不同的数据打印处理方式。

Cases with renal transplantation were performed with dynamic state CDFIin Ultrasound Dept. of Nan fang Hospital from April, 2005 to October, 2006. Theexamine time is respectively after operation in three days, seven days, one month andthree months. Before operation examine the condition of uropoiesis function such as apair of kidney, ureter, bladder and cardiac function. After operation reexamine thecondition of cardiac function once again, and examine TK detailed and completely:First, using two-dimensional imaging to observe the shape and the volume of the TK.Secondly, using Color Doppler to observe the renal artery and each artery inside theTK. Finally, using pulsed Doppler to measure the peak systolic velocity, enddiastolic velocity and resistance index.

对南方医科大学南方医院超声诊断科自2005年4月～2006年10月对152例同种异体肾移植患者进行动态CDFI监测，超声检查时间分别为术前与术后3d、术后7d、1个月及术后3个月，术前超声检查双肾、输尿管、膀胱等泌尿系功能情况及心脏功能情况，肾移植术后再次对心脏功能情况进行跟踪复查，并对移植肾进行详尽检查：先用二维超声观察移植肾的形态、大小，随后应用CDFI观察移植肾动脉及肾内各级动脉的血流充盈情况，最后用脉冲式多普勒测量收缩期峰值流速、舒张末期流速、阻力指数。

Second, Unexpectable situation such as bad weather or apparatus problems will cause some other cases, for example, tidal level data cant be measured completely or contains great errors. Aim at these cases, according to multiple harmonic analysis method, this paper presents a new method for the iterative harmonic analysis of tides based on the least square method of continuous function, as well as the condition when this method converges.

第二、针对恶劣天气或仪器等意外情况导致潮位数据缺测或者具有重大误差等情况发生时，根据多次调和分析方法的思想，给出了基于连续函数最小二乘法的潮汐迭代调和分析方法，给出了方法收敛的条件。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。