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According to the projection angle equation, the Taylor formula was modified and the improved Taylor formula was obtained.

根据抛射角方程对泰勒公式进行了修正，得到了改进的泰勒公式。

This paper illuminates several applications of Taylor formula, such as solving the limitation of variable equation, proving variable function equation and so on. It is an important guide for us to have a better understanding of Taylor formula's great functions, to exploit students' ways to thinking problems, to improve students' ability in analyzing and solving problems and to multi-use knowledge.

文章阐述了泰勒公式在求不定式的极限、函数不等式的证明等几个方面的应用，这对深刻体会泰勒公式的重要作用，开拓学生的解题思路，提高学生分析问题、解决问题的能力以及综合运用知识的能力有着巨大的指导作用。

The predictions of our theory are in good agreement with the Einstein's formula for suspensions and the Taylor's formula for emulsions at low particle concentrations.

在低颗粒浓度，该理论预测与爱因斯坦关于悬浮体的公式以及Taylor关于乳浊液的公式完全吻合。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

In 1996 it was Jacques Villeneuve who took the chequered flag for Williams, the first win of his Formula One racing career. The 1999 event also marked a first when Johnny Herbert was victorious for the Stewart team, their one and only Formula One triumph.

1996年雅克－维纶纽夫为威廉姆斯车队夺得了第一，这也是他在一级方程式赛车生涯中的第一场胜利。1999年的比赛也出现了一个第一，当时约翰尼－赫伯特为斯图尔特的车队赢得了胜利，这也是他们第一个、也是唯一一个一级方程式冠军。

Roger beat off tough competition from home favourite Formula One World Champion Fernando Alonso, former Formula One world champion Michael Schumacher, captain of the victorious Italian World Cup football team Fabio Cannavaro, the co-holder of the 100m athletics world record Asafa Powell, and Roger's friend golfer Tiger Woods.

罗杰在这项评选中受到了激烈的竞争，分别来自于：当地最受欢迎的F1世界冠军阿隆索、F1前世界冠军舒马赫、世界杯冠军意大利国家队队长卡纳瓦罗、世界100米短跑纪录保持者鲍威尔，还有罗杰的朋友：高球运动员老虎伍兹。

This text has mainly introduced seven kinds of popularization of the total probability formula , and the total application in three aspects of probability formula, i.e.

摘要全概率公式是概率论中的1个重要公式，本文对此公式进行若干推广，并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了1些探讨。

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。

This text has mainly introduced seven kinds of popularization of the total probability formula , and the total application in three aspects of probability formula, i.e. relevant classical probability calculate, apply to, ask margin distribute , utilize it establish , pass , push away issue of relation.

本文主要介绍了全概率公式的七种推广，以及全概率公式在三个方面的应用，即有关古典概率计算，应用于求边际分布，以及利用其建立递推关系的问题。

In the construct process of trapezoid area formula, all six students used the same area formula and had the same perception ability.

三、在梯形面积公式的建构历程，六名学童所建构的面积公式相同，而且历程中学童的察觉能力相同。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。