查询词典 summation formula

Around AD 1000, the Islamic mathematician , Ibn al-Haytham, was the first to derive the formula for the sum of the fourth powers of an arithmetic progression , using a method that is readily generalizable to finding the formula for the sum of any higher integral powers, which he used to perform an integration.

公元1000年，伊斯兰数学家，伊本Haytham ，是第一个公式推导的总和第四权力算术级数，使用方法很容易推广找到公式的总和任何高积分的权力，他用来执行一体化。

The formula was sold to Alkali Neutralizer Company based in the Los Angeles area in 1947 where Ashford Formula was extensively specified by architects and engineers and used on all types of industrial floors and parking decks.

其配方在1947年被位于洛杉矶的"碱中和剂"公司收购，在那里A/F被建筑师和工程师指定并广泛地用于各种类型的工业地坪和停车区域。

The main contributions in this area are summarized as follows,? The closed-form formula and its asymptotic form of system outageprobability are derived, through which it is shown that the outage probability decreased by a factor ofγ~(hereγdenotes the average SNR);? The closed-form formula of outage capacity is derived, through which weshow that 1 outage capacity increases with the increases of mean value of sytem SNR, and decreases with the increase of the variance of system average SNR; 2 in order to obtain higher outage capacity, the number of transmit antenna should be no more than that of receive antennas.?

特别的，针对多用户发送天线选择／最大比合并系统，主要贡献总结如下：·理论推导出中断概率的闭式解及其近似解，通过该近似解，可以得到中断概率以γ~的形式减少(这里γ是平均信噪比SNR)·推导出平均中断容量的闭式表达式，研究表明：1中断容量随着有效平均SNR的均值的增加而增加，随着有效平均SNR的方差的增大而减小；2为了获得更高的中断容量，发送天线的数目应当不大于接收天线的数目。

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

In the process of discretization of the auxiliary function, the traditional central difference formula is replaced by the backward difference formula, and numerical results show the method is of good stability.

在辅助函数的离散过程中用后向差分公式代替传统的中心差分公式，数值结果显示出良好的稳定性。

A general model supporting the most commonly used scheduling algorithms for multi-core CPU is constructed by a PTL formula S, and the desired property of the system is described by a PTL formula F, then whether the system possesses the property can be identified by proving whether or not S implying P is a theorem based on the axiomatization of PTL.

使用PTL公式建立了支持当前主流进程调度算法的多内核处理器进程调度一般模型S，并将系统期望的性质描述为PTL公式P，在PTL公理系统的基础上，通过证明S蕴含P是否为一个定理来验证系统是否具备该性质。

The program developed with the formula enable the coordinates for points and the parametric formula for curves in the orthographic projection to be transferred into ones in the axonometric projection, which can be directly displayed on the screen. In addition, except for assigned different values to elastic coefficient of the axial direction and the angles of the axes, it is generally adapted in drawing any of the axonometric projections.

用它编程，可以把正投影中点的坐标或曲线的参数方程，转换成屏幕上能够直接显示点的轴测投影的坐标或曲线的轴测投影的参数方程，而且除了赋轴向伸缩系数和轴间角的大小、正负不同的参数值外，对绘任一种轴测投影和相应正投影都具有通用性。

The formula of total probability ,conditional probability and bayes formula are elementary formulas of probability theory.

指出了全概率公式、条件概率及贝叶斯公式在实际应用中与其理论上的矛盾，从应用的角度重新叙述并精确论证了这些公式，弥补了原理论上的不

The application of total probability formula and Bayes formula for sample space on which two disservements and these formulas of the sample space have proved.

讨论了样本空间有不同划分时全概公式和贝叶斯公式的应用方法，给出了样本空间有两种划分时全概公式和贝叶斯公式的证明。

Then we use the diagram of Venn to analyse and predigest the theorem proof. And it is also used in probability addition and multiply、conditional probability、total probability formula、 Bayes formula to simplify the calculation of probability. So it is easy to understand and master.

进而利用Venn图分析、简化概率性质的证明以及Venn图在概率的加法与乘法、条件概率、全概率公式和贝叶斯公式中的应用，简化概率的计算，便于学习者理解和掌握。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"