公式的

Though blocking computing matrix,it can decrease the calculation amount of matrix multiplication.Meanwhile,the different simplified formats are presented when computing Duhamel integration with Trapezium formula、Simpson formula、Cotes formula and Gauss formula.

通过分块计算矩阵，能够减小矩阵乘法的计算量，同时分别给出了利用梯形公式、Simpson公式、Cotes公式、高斯公式计算Duhamel积分时的不同简化格式。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

According to a given function, namely, composite trapezoidal formula using composite Simpson formula Romberg quadrature formula and the variable step-size integration quadrature formula results, and compare the accuracy of points.

详细说明：根据给定的函数，分别用复合梯形公式、复合辛普森公式、龙贝格求积公式和变步长的求积公式计算积分结果，并且比较积分的精确度。

Right and left inverse matrices of parameter matrices are proposed and their updating formulae are also derived.

本文也给出了参数矩阵的右逆公式和左逆公式，以及它们的校正公式从而获得重要的算子公式。

The analytical method used in this paper is justified by comparing with country norm form formula results , the result of Franco et al and the result of Yuxiu Wei et al.

综合各因素的影响，应用最小二乘法进行曲线拟合，得到了斜向波和多向波作用于直立堤上的平均越浪量的计算公式、单波最大越浪量的计算公式、单波最大越浪量和平均越浪量的关系式、越波率计算公式以及单波越浪量的统计分布形式，并通过与按照我国规范中斜坡堤越浪量计算公式形式拟合得到的直立堤越浪量公式和俞聿修，魏德彬的试验结果、Franco C，Franco L试验结果的比较来验证本文所采用的分析方法的合理性、试验结果的可靠性，以便于理论研究和工程设计参考应用。

When normal distribution of subordinate function was considered, we can further deduce fussy reliable formulas that forces and intensities were lognormal distribution, that forces and intensities were weibull distribution, that forces were exponential distribution and intensities were normal distribution, that forces and intensities were exponential distribution. 3. Coincide methods of skip-ratio curve were gotten by deducing and skip-ratio functions of standard road in common use was gotten by theoretic and algebraic calculation.

并以此为基础选取了广义而精确的正态分布隶属函数，进一步推导了应力和强度均为对数正态分布时的模糊可靠性公式、应力和强度均为威布尔分布时的模糊可靠性公式、应力为正态分布和强度为威布尔分布时的模糊可靠性公式、应力为指数分布和强度为正态分布时的模糊可靠性公式、应力和强度均为指数分布时的模糊可靠性公式。

In order to satisfy the needs of the economical management and the engineering project, the paper gives three empirical formulae by the stepwise multiple regressiveness and main analysis methods to calculate the quantities of the machinery in the forest area of China. The formula(11) is used for accurate calculating.The formula (16) is used for simplified calculating and the formula (17) is used for roughly calcu!

为了满足宏观经济管理和工程规划的需要，本文利用逐步多元回归和主分量分析建立估算林区机械总量的经验公式，其中公式(11)是精确计算用，公式(16)是常用简化计算式，而公式(17)是粗略估算式。

As an approximate method,with the trigonometric function,the simple pendulum dynamical equation is simplified,and the approximate formula for the period of simple pendulum movement is presented.Comparison is made between approximate formula and exac...

对近似公式和精确公式进行了对比，最后进行了数值计算，结果表明，所得到的单摆运动周期的近似公式在大多数情况下都与精确公式符合的很好。

Theory; the spatial meshing theory includes comparative motion, comparative differential and conjugative curved surface; and the application of meshing theory includes gear drive and worm drive. The spatial meshing theory is the main part of the course.

课程的重点讲解内容有曲线的参数方程、切线、法面、弧长、曲率、空间曲线的基本公式、挠率及平面曲线的基本公式等；曲面第一和第二基本公式，法曲率、主方向和主曲率、欧拉公式、短程挠率、欧拉公式和贝特朗公式推广、相对法曲率和相对短程挠率等；刚体的绝对和相对运动速度、相对微分和绝对微分、相对速度和相对微分、轨迹曲面的法曲率和短程挠率等；空间共轭曲面的啮合条件、诱导法曲率、两类界限点、等距共轭曲面、空间啮合的二次接触原理等；蜗杆传动的数学模型建立及啮合特性分析方法等。

In order to exploit efficiently the ornamental resource-Cerasus subhirtella var. ascendens, based on the importance value as one-dimension resource state, the niche characteristics of ten dominant tree populations in C. subhirtella var. ascendens community in Wuyi Mountain of Fujian Province were calculated and analyzed with Levins, Hurlbert, Pianka and Schoener formulas.

为了更好地开发利用野生早樱这一木本观花植物，以物种重要值为生态位计算资源状态指标，应用Levins公式、Hurtlbert公式、Pianka公式和Schoener公式对福建武夷山野生早樱群落乔木层10个优势种群进行生态位宽度、生态位重叠和生态位相似性比例的计算与分析。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！