公式的

The following are the expressions for the mean pressure set up at the detection plate and for the time of the signal to progagate from the radiator to the detector:这里是1个公式,省略） where Re is the real part of the expression appearing within the braces, 0 is the density of the medium, vo is the amplitude of the vibrational velocity, c is the speed of sound in the medium, d2 = I +(r/zcos 8, z is the distance between the emitting and receiving plates, B is the angle between the axis of the acoustic channel and the axis of the tube, r = vro/c, v is the flow speed of the fluid, d is the diameter of the pipe, m is the circular frequency, k is the wave number, where a is the radius of the plate (this is taken as the same for the emitting and receiving plates for simplicity, but there is no difficulty in discussing plates differ~mg in radii),,~ is the vibrational frequency of the emitting plate, and The triple sums in the expressions for N~ and N2 may be neglected if the flow speed is low, since the contributions for these become negligible.

以下的表情为代表的压力设置在检测板甲，手持骑枪和时间的信号 progagate从散热器排出到检测器(这里是1个公式、省略)。在什么地方才是真正的出现在背带，表现为0密度的吗当时的媒介的振幅振动速度、c是声音的速度中、d2 =我+ r / z，8、z是距离的发射和接收板、B之间的角度对声信道和轴轴管，r = vro / c，v的流体的流动速率公式，d 管直径的圆频率，m，凯西是波数公式* n，一个是半径的板(这是作为相同的发射和接收吗为了简单，但板板是毫无困难地讨论不同半径)、镁-，~的振动频率的发光，。总结了三倍的表达方式和N2 ~能忽略的流量速度低，因为这些变得微不足道的贡献。

Under the condition of the steady flow, by means of conformal transformation , the authors derive a production formula of a horizontal well in the center of a reser.

文中在保证地层内具有稳定流动的基础上，利用保角变换对顶底不渗透油藏中心有一口水平井的产量公式进行了重新推导，给出了水平井产量公式的修正公式，并且利用等值渗流阻力法进行了解

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

In the integral formula of Fourier transforms of option pricing formula,by using residues theorem two integrations were simplified into a single numerical integration which has a faster rate of decay.

在期权定价公式的傅立叶变换积分公式中，运用留数定理将公式中的两个积分式子化简成一个被积函数衰减较快的积分函数式，从理论上提高了计算效率，缩短了计算时间，为投资者快速计算期权价值节约了时间。

In addition, for a class of first-order predicate expression namely first-order predicate expression without free variable and with one quantifier, a necessary and sufficient condition for such first-order predicate expressions to be equivalent and a corresponding judging algorithm are come up with.

另外，对于一阶谓词公式的一个常见子类——无自由变元单量词的一阶谓词公式，提出了一个判定这种一阶谓词公式等价性的充分必要条件和判定算法。

This paper summarizes some teaching experience,including how to understand the formula of total probability ,how to find solutions with sensible analysis and procedures,and what are supposed to be taken for attention in the application of this formula.

归纳总结全概率公式的理解方法、求解问题的分析方法、解题步骤以及应用此公式时应注意的事项等几点教学体会，旨在使学生能够真正理解和掌握全概率公式，从而更好地解决这类实际问题。

From the respects of data fountain, stat item setting up, formula importing and glozing, the paper introduces how to use Excel array formula to deal with students achievement, realize automation and dynamic statistic.

从数据源、统计项目的建立，公式的输入、公式的解释等方面，介绍了如何利用Excel数组公式处理学生成绩，实现自动化和动态统计。

" In 1981, the Supreme Court stated that "a claim drawn to subject matter otherwise statutory does not become nonstatutory simply because it uses a mathematical formula, computer program, or digital computer" and a claim is patentable if is contains "a mathematical formula and implements or applies the formula in a structure or process which, when considered as a whole, is performing a function which the patent laws were designed to protect.

& 1981年，最高法院指出，&索赔提请法定事由，否则不会成为非法定仅仅是因为它使用了一个数学公式，计算机程序，或数字电脑&，并要求具有专利性，如果是包含&一个数学公式，并在实施或适用的公式的结构或过程，当作为一个整体考虑，是履行这一职能的专利法是为了保护。

In this paper,the whole recognition process was studied in detail,using character over-segmentation method and BST character structure analysis algorithm,the general formula could be recognized and remerged successfully,and the recognition ratio is very high.

系统地研究了数学公式识别的全过程，使用自适应字符分割方法和基线结构分析算法成功地实现了一般数学公式的识别，识别率比较高，较好地完成了公式识别任务。

The interaction between the extent and the period of ice force is expressed.

算例结果与几个有影响力的经验公式和理论公式的比较显示，新公式能更好地模拟结构的实际冰力。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。