Brownian motion

Brownian motion

美 ['braʊniən məʊʃn] 　英 ['braʊniən məʊʃn]

• n.布朗运动（流体中悬浮颗粒所作的不规则运动）
• 网络伯朗运动；布朗宁运动；布朗活动

英汉双解

英汉解释

un.	1. 布朗运动 2. 布朗氏运动(苏格兰生物学家Robert Brown在显微镜下发现的微小粒子的不断运动)

例句

The impulse consumption control strategy of the problem is governed by a mixed process-geometrical Brownian motion and a Poisson process.

讨论了一类随机控制问题，其脉冲消费控制策略受控于一混合过程——几何布朗运动和泊松过程。

Thesis shows that the insulator surface pollution process has matter with Brownian motion, the air drag force, turbulent diffusion, gravity.

论文研究表明，绝缘子表面积污过程与布朗运动、气流曳力、湍流扩散、重力自沉降有关。

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。

Nature, however, has found ways to put Brownian motion to work rather than fighting it.

但是，自然界中也一样有方法，能借助布朗运动（而不是与它对抗）来达成目的。

These devices exploit the fact that Brownian motion displaces small particles farther than it does big ones.

这些元件利用的原理是，布朗运动让较小的粒子移动得比大的粒子远。

Firstly, we introduce the definition, properties and integral theory of fractional Brownian motion.

首先介绍了关于分数布朗运动的定义，性质。

Theorists have argued that Brownian motion may not be completely random, as Einstein predicted, and now experimentalists have confirmed it.

但理论物理学家认为，或许布朗运动并非如爱因斯坦所言，是那麽完全的不规则。现在实验物理学家也证实了这项说法。

The paper addresses the optimal portfolio selection problem which risky assets follows geometric Brownian motion.

研究了风险资产服从几何布朗运动的最优投资组合问题。

I think of Brownian motion: suspension in a gas or liquid particles are constantly doing scrambled of order movement.

我想起了布朗运动：悬浮在气体或液体中的颗粒不停地在做无规则的无序运动。

Then, it introduces the basic definitions of Brownian motion, some Equivalent definitions and properties.

其中包括布朗运动的马氏性、转移函数与半群。

The conceptions of fractal, fractal dimension and the mathematical model of fractional Brownian motion are discussed in this paper.

文章论述了分形、分数维的基本概念，以及分数布朗运动的数学模型。

Air and water feel as thick as molasses, and Brownian motion militates against forcing molecules to move in precise ways.

空气和水对它们而言跟蜂蜜一样黏稠，布朗运动则让分子的行径全无章法。

The Black-Scholes formula has an important assumption: the evolution of underlying asset follows the Brownian motion.

Black-Scholes公式有一个很重要的前提条件：原生资产价格演化遵循布朗运动。

Therefore, the study of option pricing in fractional Brownian motion environment is much more wide and practical.

所以，研究分数布朗运动环境中的期权定价更具有广泛性和实用性。

Already this year, Einstein has completed his Ph. D. thesis, finished one paper on photons and another on Brownian motion.

今年爱因斯坦完成了博士论文，写了论光子和布朗运动的文章各一篇。

Therefore, researchers introduced another stochastic source, jump, which is totally different from Brownian motion.

为了弥补该模型的缺陷，研究者们引入了跳跃这一不同于布朗运动的随机源。

Second, we get power option pricing in fractional Brownian motion environment.

推导出在分数布朗运动环境中幂型期权的定价公式。

Introduction to fuzzy calculus 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。

Large fluctuations in the stock market are far more common than Brownian motion predicts.

股市中的大起大落远比布朗运动预言的多得多。

Topics include Brownian motion, thermal noise, information theory, entropy, and the author's personal view of Maxwell's Demon.

其中包括有布朗运动，热噪声，信息理论，熵和作者本身对麦克斯韦妖的看法。

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。

The elastic collision mechanism of Brownian motion is studied, and the equipartition of kinetic energy of Brownian particle has been proved.

研究了布郎运动的弹性碰撞机制，证明了布郎粒子的能量均分定理。

The most important statistical features of Brownian motion are its mean and its standard deviation.

布朗运动最重要的统计学特征就是它的平均值和标准差。

At the same time, astronomers can look for the spacetime analogues of random Brownian motion.

同时，天文学家可以寻找时空版的随机布朗运动。

Every day, we try to discern some kind of order in the Brownian motion of day-to-day stock volatility.

我们每一天都试图领悟日常股价波动的布朗运动的一些规则。

The Moment Generating Function for Occupation Measure of Additive Brownian Motion

可加布朗运动逗留时的矩母函数

One Hundred Years of the Theory of Brownian Motion

布朗运动理论一百年

Fully Coupled Forward-Backward Stochastic Differential Equations with Brownian Motion and Poisson Processes under Local Lipschitz Condition

局部Lipschitz条件下的布朗运动和泊松过程混合驱动的正倒向随机微分方程

Texture Classification Using Fractional Brownian Motion and Probabilistic Neural Network

基于分数布朗运动和概率神经网络的自然纹理分类

The analysis of the model of fractal Brownian motion and its applications to terrain

分形布朗运动模型及其在地形分析中的应用

Pricing on European contingent claim with stochastic life under fractional Brownian motion environment

分数布朗运动环境下具有随机寿命的欧式未定权益的定价

Trapping stiffness measurement with brownian motion analysis method at low sampling frequency

低频响及低采样频率下用布朗运动分析法测量光阱刚度

Curvilinear boundary crossing probability of standard Brownian motion

标准布朗运动关于曲线边界通过的概率

this chapter models the value of investment project as geometric brownian motion and uses contingent claim for the valuation

用几何布朗运动来描述该产业投资项目的价值，并利用或有债权方法进行了分析。

Pricing of Compound Option in a Fractional Brownian Motion Environment

分数布朗运动环境中混合期权定价

Pricing European Foreign Currency Options under Fractional Brownian Motion

分形布朗运动下的欧式外汇期权定价

Pricing of Spread Option with the Underlying Asset Price Following Fractional Brownian Motion

标的资产价格服从分数维布朗运动的差价期权定价

Super-Brownian Motion: The Limiting Behaviour of the Mass Process and the Extension of the State Space

超布朗运动：质量过程的极限行为及值空间的扩张

Optimal portfolio in fractional Brownian motion environment

分数布朗运动环境下的最优投资组合

Linear Boundary Crossing Probability for Standard Brownian Motion

标准布朗运动关于线性边界通过概率

Structural Modeling of Credit Risk in Fractional Brownian Motion Environment

分数布朗运动下信用风险结构模型