查询词典 aitken interpolation formula

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

Optical Formula Recognition is not only the sign of formula recognition, but also include the extraction of the formula, the record of two dimension structure of the formula and so on.

数学公式的识别不仅只是公式中符号的识别，其还包括了公式抽取，公式二维结构的记录等方面的研究。

Tab stop set up after the front of the cursor on the formula, click the Tab key, so that the formula, insert the words in a tab, when the formula in place as the central tabulation center Align Center and then the cursor moved between the formula and the left bracket, and then Tab key insert a tab, go to line number on the end.

设置好制表位后，把光标放在公式的前面，按一下 Tab 键，这样就在公式的前面插入了一个制表符，此时公式以居中制表位为中心居中对齐，再把光标移到公式和左括号之间，再按 Tab 键插入一个制表符，编号就跑到行末了。

For the security market with restricted borrowing and short sale unallowed, Options pricing formula are advanced, and the relation between them and Black-Scholes Options pricing formula is discussed. The essence of Black-Scholes Options pricing formula is set forth. To the security market with restricted borrowing and short sale unallowed, stock returns risk pricing formula is advanced and the demonstration analysis of China security market is provided. From the demonstration analysis, arbitrage exists in China security market, which can be applied to explain the riddle of a great deal of China bank money and hot money swarming into China security market.

本文在B-S期权定价的基础上，直接利用股票本身的参数推导出股票收益率风险的定价公式；对不允许融资和卖空的证券市场，给出了看涨期权和看跌期权的定价公式，并讨论了他们和相应B-S期权定价公式之间的关系；对B-S期权定价公式的本质做出了阐述；对不允许融资和卖空的证券市场，给出了股票收益率风险的定义；利用股票收益率风险的新定义，对中国证券市场进行实证分析，得出中国证券市场存在套利，解释了2006年和2007年中国大量银行资金和国外热钱流向中国股市之谜。

Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function.

引言 Clayton和Engquist在1977年和1980年提出的傍轴近似公式[1，2]是迄今为止最具代表性的局部人工边界条件之一。但是上述傍轴近似公式是从特定的波动微分方程出发推导建立的，因此其普适性受到限制。

The measure formula of intersymbol interference is derived by using the cut off form of interpolation formula and its convergence analysis has been done.

利用插值公式的截断式导出码间串扰量的度量式，研究了其收敛特性。

For example, he used himself and Zhu Shijie, who co-sponsored the three interpolation formula and the bad together in the formula of spherical trigonometry to calculate the accuracy of the new calendar has been elevated to unprecedented highs.

例如，他采用了自己和朱世杰等人共同提出的三次差内插公式及合于球面三角法的公式进行计算，使新历法的精度得到空前提高。

In this paper, the Lagrange interpolation formula asked a class function expression question, the determination function to the higher mathematics in the elementary mathematics in some value scope question, the equality proof question, the multinomial factorisation question, to ask to have the Finite series to pass the formula question, the certificate any n function at will n+1 different spots function value maximum value minimal problem and so on six aspects should serve as the simple introduction, and has separately made the comparison with these six aspects elementary mathematics method, thus solved some operation problems in elementary mathematics.

摘要本文对高等数学中Lagrange插值公式在初等数学中的求一类函数表达式问题、确定函数在某点的取值范围问题、恒等式的证明问题、多项式的因式分解问题、求有穷数列的通项公式问题、证明任一n次函数的随意的n+1个两两不同点的函数值的最大值的最小值问题等六个方面的应用作了简单介绍，并与这六个方面的初等数学方法分别作了比较，从而解决一些初等数学中的运算问题。

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

Brigadier Robert Aitken's findings were published last month and said that abuse was not widespread.

准将罗伯特埃特金得出的结果，在上月公布了，并说虐待并不普遍。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。