查询词典 uniqueness condition

The result showed that the strong storm followed by mesoscale squall line was primary cause of strong sandstorm producing, steps and ladders short wave trough of 500 hPa was great criterion triggering system for the mesoscale squall line producing, the essential dynamic condition was provided by distortion field and the mesoscale low pressure of 700 hPa for the strong sandstorm forming and maintaining in mid-west of Hexi Corridor, the deep vertical circulation development condition was basic power that urged squall line to occur and sand dust to curl up, which was provided for the deep convection development by superimposition of lifting movement before ground cold front and ascendant current of secondary circulation in upper air jet entrance region, temperature and the barometric gradient around the cold front was enlarged by enhancement of ground thermal low and temperature diurnalvariation of afternoon, by which essential thermal energy unstable condition was provided for the gale and strong sandstorm eruption, the strong sandstorm appeared in downstream of -200 m^2s^(-2) center of vertical helicity, the vertical helicity had good instruction significance for development of squall line and landing region of sandstorm, the mesoscale squall line occurred in unstable stratification, basic condition of potential energy transforming as kinetic energy was provided by strong unstable stratification for the strong sandstorm forming and developing.

结果表明：中尺度飑线所伴随的强风暴是产生强沙尘暴的主要原因；500 hPa阶梯短波槽是中尺度飑线产生的大尺度触发系统，河西走廊中西部700 hp变形场、中尺度低压为强沙尘暴形成和维持提供了必要的动力条件；地面冷锋前上升运动与高空急流入口区次级环流的上升气流的叠加，为深对流发展提供了深厚的垂直环流发展条件，是促使飑线发生和沙尘卷起的基本动力；地面热低压的加强和午后气温的日变化加大了冷锋前后的温度和气压梯度，为大风、强沙尘暴爆发提供了必要的热力不稳定条件；强沙尘暴出现在垂直螺旋度为－200平方公尺/s^2中心的下游，垂直螺旋度对飑线的发展和沙尘暴的落区具有较好的指示意义；中尺度飑线发生在不稳定层结内，较强的不稳定层结为强沙尘暴形成、发展提供了位能转化为动能的基本条件。

Prof. Long-Ruilin mentioned that if we want to study weighted inequalities for martingales, such as the maximal inequalities, the inequalities for the square operator and so on, the condition imposed on weights are mainly A〓 and S, but we don't know whether this condition is superfluous in all problems we consider. Since the condition can not be weakened for the known operators, now we consider a new operator to discuss its L〓-boundedness, then another problem arises, under what condition can we get it?

龙瑞麟先生曾经提到要讨论关于可测的鞅的极大算子、均方根算子以及条件均方根算子的L〓有界性，或它们之间的〓有界性时，所设的主要条件是A〓与条件S，有了这两个条件在讨论加权问题时基本上没有什么困难，但是要想用更弱的条件来代替它们，即使在古典情况下（此时S条件是自然满足的）也恐怕还不到时候。

Then the relationship which unknown coefficient satisfies from additional condition is derived. We deduce the existence and uniqueness of solution of the pseudoparabolic equation at last.

首先在假定系数已知的条件下，求出方程的形式解，然后再利用附加条件得到未知系数满足的关系式，最终给出了此类反问题解的存在唯一性。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

The thesis is organized as follows:In Chapter 1,a new partial differential equation model for Spontaneous Potential log in heterogeneous formations is introduced.At the same time,the existence and uniqueness of weak solution to the problem are proved,and the problem of resistance identification in SP log is studied.Furthermore,a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic interface problems.The effects of various factors on SP response,which include objective layers resistivity,bed thickness,bore-hole diameter,invasion and water-flooded zones and so on,are investigated quantitatively by the proposed method, and satisfactory results are obtained.

具体安排如下：第一章首先建立复杂地层中自然电位测井的偏微分方程数学模型，证明了该边值问题弱解的存在唯一性，在此基础上研究了自然电位测井电阻率识别问题：然后发展了用于求解椭圆交界面问题的间断捕捉有限差分方法，利用该方法定量分析了目的层电阻率、地层厚度、井径、侵入带和水淹层等因素对自然电位测井响应的影响，取得了满意的结果。

In this dissertation, the best simultaneous approximation with weight to infinite sequence from simultaneous-suns in complex normed linear space is considered, and in the case when the weight satisfies a certain condition, the characterizations of approximation from a simultaneous-sun and uniqueness of approximation from a RS-set are obtained; moreover, in the case when the weight is free, the characterizations of approximation to a totally bounded sequence from a convex set are established.

本文在复赋范空间中研究了同时太阳集对无限序列的加权同时逼近问题，在权满足一定条件时，通过把所研究问题转化为连续向量值函数空间中相应集对一个上半连续函数的最佳逼近问题，得到了逼近的特征和RS集逼近的唯一性定理，有例表明它们是已有结果的本质推广；在权不受限制时，得到了凸集对全有界序列逼近的特征。

Based on the condition,the structure uniqueness and content compatibleness are proved,and the conventional synthesis of Petri nets in this framework is also discussed.

给出一种较弱的唯一性条件，及基于该条件的结构唯一性和内容兼容性的证明，并讨论在此框架体系中融合传统Petri网综合方法。

By using the cone theory, t he existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition.

利用锥理论，在不需要非线性项满足连续性和紧性条件下，获得无穷区间上Fredholm型积分方程解的存在唯一性，并给出逼近解迭序列的误差估计。

A sufficient condition is obtained to ensure the existence and uniqueness of almost periodic solution for MAM neural network with time-varying delays by way of exponential dichotomy and contraction map theorem. Moreover, the global exponential stability of the almost periodic solution for this type of MAM neural network is proved by using Halanay inequality.

利用指数二分法结合运用压缩映射原理获得了变时滞多向联想记忆神经网络模型概周期解的唯一存在性，利用Halanay不等式证明了变时滞多向联想记忆神经网络概周期解的全局指数稳定性。

By improving the Holder condition which the divided differences of order one satisfy,we obtain radius of convergence ball the uniqueness ball.All the theoretical conclusions are tested and verified by a numerical example.

通过改进一阶差商所满足的Holder连续条件，得到了两点弦截法的收敛球半径和方程具惟一解的球半径，并用数值例子验证了理论结果。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。