查询词典 Brownian motion

It is apparent that the visible Brownian motion depends on the size of the invisible bombarding molecules.

很明显，可见的布朗运动与不可见的撞击分子的大小有关。

Einstein,"according to study molecular motion of suspended particles in the liquid static movement" in the text, to explain Atomism "Brownian motion."

爱因斯坦在《根据分子运动论研究静止液体中悬浮微粒的运动》一文中，以原子论解释"布朗运动"。

Firstly, we prove the existence and uniqueness of the adapted solution of multi-dimensional backward stochastic differential equations driven by Brownian motion and Lévy process by using predictable representation theorem and the fixed point theorem about contract mapping, and also prove the comparison theory.

第一部分运用可料表示定理和压缩映射原理证明由布朗运动和Lévy过程共同驱动的多维倒向随机微分方程适应解的存在唯一性及其相应的比较定理。

Secondly, we consider stochastic LQ optimal control problem driven by Lévy processes and Brownian motion. By applying the -Lévy formula, Gronwall's inequality, Young's inequality and Cauchy-Schwarz inequality, we obtain the closeness property of the solution of multi-dimensional backward stochastic Riccati differential equations.

第二部分首先研究由布朗运动和Lévy过程共同驱动的随机LQ最优控制问题，接着利用-Lévy公式、Gronwall不等式、Young不等式及Cauchy-Schwarz不等式证明多维倒向随机Riccati微分方程适应解的闭性质，并利用此性质证明一维BSRDE解的存在唯一性。

As we all known, Brownian motion is an important type of stochastic process.

我们大家都知道，布朗运动是一类很重要的随机过程。

In chapter 3, the feature extraction and target detection based on fractional Brownian motion model are studied.

第三章研究了基于分数布朗运动模型的图象特征提取和目标检测方法。

This simple result is at the root of the arithmetic and algebra of Brownian motion and particle diffusion.

这个简单的结果是粒子扩散和布朗运动的算术和代数基础。

At very small scales, the disturbances caused by the random motion of molecules in a liquid is called Brownian motion.

在非常小的尺度上，由液体中的分子随机运动造成的扰动被称为布朗运动。

By compared with standard Brownian motion, the fractional dimension number of path of practical liquid molecular motion is analyzed theoretically on the basis of fractal theory.

运用分子动力学模拟方法，模拟了84K恒温液氩系统中分子的运动过程，统计了不同空间观测尺度及时间观测尺度下分子运动轨迹的分维数。

Through assuming the same character of continuum and smooth at dimensionless coagulation rate when Péclet number as the independent variable, the analytical results of the three perturbational orders of weak Brownian motion on the strong gravitational motion are gained.

再给以纯Brown碰并率无量纲化的碰并率对于极值点对应的Péclet数有同样连续光滑的性质，求得中Péclet数条件下，重力对流与Brown运动都不能看成小量的耦合碰并条件下，粒子的碰并率；并同时得到高Péclet数条件下碰并率的后三阶解析解。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。