Brownian motion

Brownian motion

美 ['bra?ni?n m???n] 　英 ['bra?ni?n m???n]

• n.布朗運動（流體中懸浮顆粒所作的不規則運動）
• 網絡伯朗運動；布朗寧運動；布朗活動

英漢雙解

英漢解釋

un.	1. 布朗運動 2. 布朗氏運動(蘇格蘭生物學家Robert Brown在顯微鏡下發現的微小粒子的不斷運動)

例句

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

討論了一類隨機控制問題，其脈沖消費控制策略受控于一混合過程——幾何布朗運動和泊松過程。

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

論文研究表明，絕緣子表面積污過程與布朗運動、氣流曳力、湍流擴散、重力自沉降有關。

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

這個簡單的結果是粒子擴散和布朗運動的算術和代數基礎。

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

但是，自然界中也一樣有方法，能借助布朗運動（而不是與它對抗）來達成目的。

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

這些元件利用的原理是，布朗運動讓較小的粒子移動得比大的粒子遠。

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

首先介紹了關于分數布朗運動的定義，性質。

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

但理論物理學家認為，或許布朗運動并非如愛因斯坦所言，是那麼完全的不規則。現在實驗物理學家也證實了這項說法。

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

研究了風險資產服從幾何布朗運動的最優投資組合問題。

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

我想起了布朗運動：懸浮在氣體或液體中的顆粒不停地在做無規則的無序運動。

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

其中包括布朗運動的馬氏性、轉移函數與半群。

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

文章論述了分形、分數維的基本概念，以及分數布朗運動的數學模型。

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

空氣和水對它們而言跟蜂蜜一樣黏稠，布朗運動則讓分子的行徑全無章法。

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

Black-Scholes公式有一個很重要的前提條件：原生資產價格演化遵循布朗運動。

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

所以，研究分數布朗運動環境中的期權定價更具有廣泛性和實用性。

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

今年愛因斯坦完成了博士論文，寫了論光子和布朗運動的文章各一篇。

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

為了彌補該模型的缺陷，研究者們引入了跳躍這一不同于布朗運動的隨機源。

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

推導出在分數布朗運動環境中冪型期權的定價公式。

Introduction to fuzzy calculus As we all known, Brownian motion is an important type of stochastic process.

我們大家都知道，布朗運動是一類很重要的隨機過程。

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

股市中的大起大落遠比布朗運動預言的多得多。

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

其中包括有布朗運動，熱噪聲，信息理論，熵和作者本身對麥克斯韋妖的看法。

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

這個簡單的結果是粒子擴散和布朗運動的算術和代數基礎。

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

研究了布郎運動的彈性碰撞機制，證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.

布朗運動最重要的統計學特征就是它的平均值和標準差。

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

同時，天文學家可以尋找時空版的隨機布朗運動。

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

我們每一天都試圖領悟日常股價波動的布朗運動的一些規則。

The Moment Generating Function for Occupation Measure of Additive Brownian Motion

可加布朗運動逗留時的矩母函數

One Hundred Years of the Theory of Brownian Motion

布朗運動理論一百年

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

局部Lipschitz條件下的布朗運動和泊松過程混合驅動的正倒向隨機微分方程

Texture Classification Using Fractional Brownian Motion and Probabilistic Neural Network

基于分數布朗運動和概率神經網絡的自然紋理分類

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

分形布朗運動模型及其在地形分析中的應用

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

分數布朗運動環境下具有隨機壽命的歐式未定權益的定價

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

低頻響及低采樣頻率下用布朗運動分析法測量光阱剛度

Curvilinear boundary crossing probability of standard Brownian motion

標準布朗運動關于曲線邊界通過的概率

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

用幾何布朗運動來描述該產業投資項目的價值，并利用或有債權方法進行了分析。

Pricing of Compound Option in a Fractional Brownian Motion Environment

分數布朗運動環境中混合期權定價

Pricing European Foreign Currency Options under Fractional Brownian Motion

分形布朗運動下的歐式外匯期權定價

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

標的資產價格服從分數維布朗運動的差價期權定價

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

超布朗運動：質量過程的極限行為及值空間的擴張

Optimal portfolio in fractional Brownian motion environment

分數布朗運動環境下的最優投資組合

Linear Boundary Crossing Probability for Standard Brownian Motion

標準布朗運動關于線性邊界通過概率

Structural Modeling of Credit Risk in Fractional Brownian Motion Environment

分數布朗運動下信用風險結構模型