查询词典 reduction formula

Thirdly, by applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

为了有效处理违反约束，这里还提出了在违反约束水平集的负法凸锥内构造水平集的法向修正速度的返回映射算法，它可以方便地处理多材料、多约束和含有非设计域的结构设计问题，使初值给定容易。

By applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

这样就把材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题，这时材料界面的形状敏度就(来源：9aABb5C论文网www.abclunwen.com)是水平集的运动速度。

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。

Observe the effects of decreasing blood sugar and kidney-enriching formula to renal structure and function of diabetic nephropathy model of rat caused by STZ, hyperlipin feed and renal hemiresection. Reveal its mechanism on the aspect of pathology, carbohydrate metabolism, renal hemodynamics and blood lipin through the contradistinctive and classified research on the medicinal constituent of the formula.

观察降糖益肾方对链脲佐菌素、饲喂高脂饲料、单侧肾切除方法诱导的糖尿病肾病大鼠模型肾脏结构与功能的影响，并就组方内滋阴益气、活血两大类药物进行对比研究，从常规、超微病理结构、糖代谢、肾脏血流动力学、血脂等方面深入探讨降糖益肾方的作用机制。

On this foundation, the followingfew problems are resolved. Firstly, we have a kinematic density formula for pairs of needles by using thekinematic density formula for pairs of oriented lines. The geometric probability thatthe random pairs of needles intersect at a point in convex body K is considered.

在此基础上，重点解决了以下几个问题：首先利用R~2上有向直线偶的运动不变密度公式，得到了针偶的运动不变密度公式，考虑了针偶与凸体K相交且针偶的交点属于K的这样一个几何概率问题。

This PPT introduces covariance function and its formula for calculating the variation function and its formula, Kriging interpolation process, and finally given an example based Kriging interpolation.

详细说明：本PPT介绍了协方差函数及其计算公式，变异函数及其计算公式，克里格插值方法的过程，最后给了一个基于克里金插值的实例。

Derived from Mindlin solution, the deformation formula induced by torque between cutterhead and soil is obtained by integration and coordinate transformation, which leads to the total deformation formula induced by shield tunneling.

基于盾构施工过程，利用弹性力学Mindlin解，通过坐标变换经积分推导刀盘与土体之间摩擦力所引起的地面变形计算公式，并得到盾构施工引起的总地面变形计算公式。

According to the connective equation of normal distribution function of these parameters, the paper proposes a simple and practical method for the reliability design of involute cylindric gear transmission, and derives a design formula and a proofread formula.

根据这些参数的正态分布函数的联接方程，提出了渐开线圆柱齿轮传动可靠性设计的一种简单适用的方法，并推导出了设计公式和校核公式。

We have also shown that our general formula for thepion decay constant 〓 reduces to the well-known Pagels-Stokar formula undercertain approximations.

同时，我们证明了，在一定近似下，可以从我们对π介子衰变常数〓的一般定义推出著名的Pagels-Stokar公式。

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

This paper designs the communication system of radio telescope FAST.

针对500m口径球面射电望远镜FAST分布式控制系统的特点完成了其通信系统的设计。

Political sheep's step-by-step a large number of fossils unearthed in the county soil Ma Ali after rural village in the middle of sallow pelitic siltstone.

步氏和政羊化石大量出土于广河县阿力麻土乡后山村，产于灰黄色泥质粉砂岩中。