查询词典 uniformly continuous

This paper explores the application of the modern digitized technology to the teaching of the Electromagnetism. By the numerical calculation and digital simulation, the electromagnetic field of an uniformly charged ring, the non-linear vibration of charged particle in an uniformly charged ring and the uniform area of Helmholtz coils are discussed.

本文探讨现代数字技术在电磁学教学中的应用，通过数值计算和数字模拟，深入讨论了环形源电磁场的空间分布、带电粒子在带电圆环电场中的非线性振动以及亥姆霍兹线圈内的均匀磁场问题。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

To generalize convex functions, Zalinescu introduced the concepts of uniformly convex functions in 1983, and discussed some properties for them;under the conditions of upper semicontinuity and lower semicontinuity, some equivalent conditions were given by Yang in 1998, so that criteria for uniformly convex functions are simplified.

作为对凸函数的推广，1983年Zalinescu提出了一致凸函数的概念，并讨论了它们的一些性质特点；1998年Yang在上半连续和下半连续条件下给出了一致凸函数的一些等价条件，简化了一致凸性函数类的判别条件。

In addition,for both the cases of a uniformly accelerated two-level atom interacting with a quantized real massless scalar field and a uniformly accelerated multilevel atom interacting with a quantized electromagnetic field,we calculate the rate of change of the mean atomic energy from the point of view of a coaccelerated frame.

另外，对于匀加速的两能级原子与无质量的量子实标量场相互作用以及多能级原子与量子电磁场相互作用的情况，我们还在一个共同加速的框架下计算了原子的平均能量变化率。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

The iron nanoparticles in inner core have good magnetism and targeting heating effect. The temperature can go up to 52 ℃ in the case that 0.1 g carrier (carbon-coated iron nanoparticles) is injected in a local point of pig's liver,while the temperature can go up to 42℃ in the case that pig's liver uniformly containing carrier of 0.4 wt.% and 45℃ in the case that pig's liver uniformly containing carrier of 0.6 wt.%. Carbon-coated iron nanoparticles also has good antioxidation and stability by an X-rays diffraction structural analysis.

铁纳米粒子磁场强，靶向效果好，有较佳的磁靶向发热效应，在动物病灶局部放置0.1 g碳包铁纳米粒子将能使发热温度平均升到52℃；而将碳包铁纳米粒子均匀与猪肝混合也有明显的产热效果：含量0.4%碳包铁纳米粒子的一组猪肝能将温度升到42℃，而含量0.6%碳包铁纳米粒子的一组猪肝能将温度升到48℃。X射线衍射表明借助于碳的包裹，碳包铁纳米粒子有好的抗氧化性和稳定性。

If we consider a space uniformly filled with masses, as, for example, our space is filled with stars, galaxies and clusters of galaxies, we must conclude that, apart from localized large curvatures near particular stars or galaxies, space should possess an overall curvature due to the combined effect of all the masses- a regular tendency to curve uniformly over large distances.

如果我们考虑一个空间，被不均匀的质量块填充着，比如说，像我们的空间，被恒星、星系、和星系团填满，我们得出这样一个结论：除了局部在特殊的恒星或星系附近曲率很大的地方外，由于所有的质量块共同作用，空间应该有一个总曲率-一个在远距离上连续而不均匀的弯曲的趋势。

In chapter 5, we investigate uniformly starlike and uniformly convex mappings on the unit ball in C〓, give a criterion for the latter, and obtain some results which are similar to Harnack inequalities. Hence the contents of these two mappings are richened a little.

第五章主要研究多复变数的一致星形映射和一致凸映射，给出一致凸映射的一个判别准则，并且得到关于这两个映射的类似于Harnack不等式的结果，从而使得有关这两类映射的研究内容更加丰富。

In this paper the influence values derived from the Westergaard solution forestimating the vertical normal stresses in soil are obtained under the followingcases:(1) Triangularly distributed load on a rectangular area;(2) Uniformly distributed load along a line of infinite length;(3) Uniformly distributed load on an infinitely long strip-area;(4) Triangularly distributed load on an infinitely long strip-area.

本文以韦斯脱卡特(H.M.Westergaard)公式为依据，获得了计算地基中垂直应力的一些公式。这些公式是分别适用于下列各种荷载情况：(1)三角形荷载作用在矩形面积上；(2)均布荷载作用在一无限长的直线上；(3)均布荷载作用在无限长的条形面积上；(4)三角形荷载作用在无限长的条形面积上。

In this paper a decision method of uniform convergence for function sequence is given, and a few of properties for the uniformly convergent function-sequence are obtained by this method, which is used in the construction of a new uniformly convergent function-sequence by others known.

给出了一个定理用于判定函数列的一致收敛，通过此判定定理，又得出了由一致收敛函数列构造新的一致收敛函数列的几个性质。

This matter overthrew all basises I learned from Sunday school .

这件事把我从周日学校学到的所有道理都颠覆了。

It's one of the cruel ironies of aging: if you want to remember your favorite restaurants, the less you should eat at them.

这是一个老化的残酷讽刺：如果你想记住你最喜欢的餐馆，你应该更少吃到它们。