近似积分

The fundamental idea of this method lies in the fact that the variation of the elastic area of the arch with respect to x can be represented approximately by an elementary algebraic function which can be determined with but little labor.

主要关键在求出一能近似表示拱截面ds/EI变化之代数式，使各项计算均得由直接积分完成，避免分段计和，因而极为简便。

In the process of radiation calculation in the real atmosphere, the exactly integrating over the zenith angle is computationally expensive, and thus the diffusivity factor is used to approximate to the integration over the zenith angle.

在大气辐射传输计算过程，对天顶角的精确积分非常费时，可以通过漫射因子近似方法进行简化处理。

Calculus can be used to find approximate solutions to equations, in methods such as Newton's method , fixed point iteration , and linear approximation .

积分可以用来寻找近似解方程，在方法，如牛顿法，不动点迭代和线性近似。

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

The spatial distribution of intra-node flux and source were approximated by a new orthogonal quadratic polynomial expansion, and a second-order polynomial provided the spatial expansion of transverse-leakage. The neutron angular distribution of flux and transverse-leakage were represented by the S quadrature set.

节块内横向积分通量、中子源的空间分布使用新的正交二次多项式近似；横向泄漏项的空间分布使用二阶多项式近似；中子通量和横向泄漏的角度通过离散纵坐标S

A program based on four kinds of methods in thermal analysis is designed for finding out the mechanism of decomposition reaction of explosives and calculating their kinetic parameters. Compared with the Kissinger's method, the program here adopted has the advantage of exploring the reaction mechanism besieds a calculation of the kinetic parameters. Mechanism of decomposition of the explosive PYX was determined applying this program. The kinetic parameters of PYX calculated by non-isothermal integral meth...

以热分析理论为依据，摒弃了以往仅用一种热分析法进行反应动力学研究和近似假设─—炸药的热分解反应机理f＝（1—α）n所带来的弊病，采取4种热分析方法（等温积分法、等温微分法、非等温微分法、非等温积分法）相结合的方法，编制了计算程序，首先判断反应机理，然后求取动力学参数，用所编程序对PYX炸药的反应动力学进行了研究，用非等温法判断了PYX炸药的反应机理，并求得动力学参数，所求参数与Kissinger法求得的结果十分接近。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

Non-linear Non-planar parametric responses of an inextensional beam. International Journal of

近似理论计算与数值积分间取得了较好的一致性，从一个侧面表明近似理论计算结

Considering the contributions due to viewed cone centred on the object point and extending through the luminnor body, the distribution of intensity in the image plane can be expressed by the integration of emitted powers of luminor body over the entire sightline under the paraxial approximation.

考虑到成像光锥的贡献，在近轴近似下，得到了用发光体的辐射强度表示像平面上照度分布的积分表达式，由此得到下列结果：1沿光路上每一垂直于光路的平面上能量贡献是一样的。2由于光路积分，探测器测到的光强涨落的幅度小于实际的涨落幅度，但在一定的条件下，发光体的涨落图像可重现。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。