查询词典 radon nikodym theorem

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节，我们定义了一种新的坐标变换-广义极坐标，并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题，分别得到了存在一个解、多个解、无穷多个解的多个充分条件；第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性，采用的是锥上的不动点定理，全面推广了这一方面已有的结果；对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题，我们在第四节做了一些研究，这也是拓扑方法的一个应用。

In this paper, we consider a class of integrodifferential equations of mixed type with dripules in abstract spaces the exitence theorem of maximum and minimum solutions and unique solutions are proved.

研究了Banach空间一类脉冲积分微分方程最大解、最小解的存在性及解的存在唯一性。所得结果推广和改进了文[1]的工作

Due to the fact that the intercarrier spacing in OFDM is relatively small, OFDM transceivers are somewhat more sensitive to phase noise compared to single carrier transceivers. Thus this problem must be carefully considered in designing an OFDMbased system since an accurate prediction of the tolerable phase noise can allow designer to relax system specifications. According to spectrum theorem, two components of phase noise were analyzed: common phase error and intercarrier interference. On the basis of the analysis, the performance of OFDM was given for the case where phase noise has been added to the signal, and an optimal design criterion for OFDM parameters was proposed that allows to improve the phase noise error correcting capabilities in OFDM receiver.

由于采用子载波间相互正交的结构，OFDM系统对于由本地振荡器不稳定性所导致的相位噪声影响非常敏感，针对公共相位误差CPE和载波间干扰ICI两种影响表现形式不同的干扰项，从功率谱密度函数这一独特角度分析了相位噪声对OFDM系统性能的影响，提出了旨在提高接收机抵抗相位噪声能力的OFDM系统关键参数优化与设计准则，可在对所设计OFDM系统性能加以提高的同时，有效降低对接收机前端模拟振荡器件和相位噪声抑制单元的性能指标要求，从而降低接收机硬件实现成本。

Why the paradox appeared is due to that the Rayleigh Theorem of inviscid flows by linear analysis is incorrect.

吊诡的是，为何出现瑞利定理，由于粘流线性分析是错误的。

A new kinematically admissible velocity field is constructed. On operating with a linear failure criterion that exceeds the actual nonlinear failure criterion, the objective function formulation of the upper bound theorem leads to a classical nonlinear programming problem where the objective function, which is to be minimized, corresponds to the dissipated power.

本论文在上限定理的基础上，首次提出&切线法&与非线性&序列二次规划&优化相结合的计算方法，使在非线性屈服下求解岩土承载力或稳定性问题成为可能，为上限定理的广泛应用开辟了新的途径。

Based on the upper bound limit analysis theorem,upper-bound answers of bearing capacity of circular shallow foundations by suitable choice of a kinematically admissible velocity field and admissible failure mechanisms were derived.

在极限分析上限定理的基础上，选择合适的机动位移速度场及容许破坏模式，推导出地基承载力上限解，然后利用弹塑性力学知识得出了滚石冲击压力以及滚石冲击深度的计算表达式。

Based on the theorems of holography and linear system,the numerical reconstructing methods of the off-axis lensless Fourier transform hologram by Fresnel diffraction formula and by the convolution method based on Rayleigh-Sommerfeld diffraction integral and by angular spectrum theorem are studied.

根据全息理论和线性系统理论，采用离轴无透镜傅里叶变换全息记录光路，对利用菲涅耳近似法、基于瑞利—索末菲衍射积分的卷积法以及角谱理论方法数值重建全息图进行了比较研究，并做了计算机模拟验证。

Theorem 2.2.34 Let R be a reduced left morphic ring, then R is a left semi-hereditary ring.

定理2.2.34设R是约化的左morphic环，则R是左半遗传环。

Theorem 2.2.23 Let R be a reduced left morphic ring, then R is a subdirect product of division rings.

定理2.2.23：设R是约化的左morphic环，则R是除环的亚直积。

Theorem 2.3.7 Let R be a reduced left morphic ring, then R is a right FS-ring.

定理2.3.7：设R是约化的左morphic环，则R是右FS-环。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48