值

An impossible event has a probability of exactly 0, and a certain event has a probability of 1, but the converses are not always true: probability 0 events are not always impossible, nor probability 1 events certain.

一个'不可能'事件其机率值为0，而'确定'事件其机率值则为1。但反推并不成立，也就是说机率值为0的事件不表示它就是一个'不可能'事件，同理，机率值为1的事件不表示它就一定发生。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积，在Gdel三值命题逻辑系统中引入公式的真度概念，在三值逻辑(四分之一，二分之一，四分之一)测度下证明G3中全体公式的真度值之集在[0， 1]上是稠密的，并给出公式真度的表达通式，为进一步在三值命题逻辑系统中展开近似推理奠定基础。

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

In addition also using algebra interpolation leveling system error, including the linear interpolation, the parabola interpolation and the partition interpolation.

此外还利用代数插值法校正系统误差，其中包括线形插值法、抛物线插值法和分段插值法。

The interpolation formula can be compiled into standard computer code.

在此，我们首先论述了保单调性的插值方法，根据分布函数的逆函数具有单调性的特点，用保单调的插值曲线去逼近分布函数的逆函数，进而用得到的插值公式进行随机变量的抽样，这样做可以节省抽样的时间，并且在分布函数具有一定的光滑性条件时，插值公式具有比较好的收敛阶。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理；接着，重点研究了地球物理不规则分布数据网格化的普通克里金法，主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理；之后，重点研究了地球物理不规则分布数据网格化的反插值法，主要研究了反插值法的方法原理和迭代求解算法，以及反插值法实现地球物理数据网格化的原理；最后，应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

The spatial interpolation methods of inverse distance weight, trend surface, Kriging, Cokriging and combined method are utilized for the comparison study on spatial interpolation of January mean air temperatures from 1961 to 1990 in the QinghaiXizang Plateau.

： 使用反距离平方、趋势面、Kriging插值、Cokriging插值和综合方法对青藏高原1961—1990年30年平均1月气温进行空间插值比较研究，其中后两种方法能够把影响青藏高原气温分布的关键因素——高程置于插值算法之中。

The ratio of irrigated area to cultivated area,the number of electromechanical wells per each effective irrigational unit,the coefficient o...

结果表明：灌耕比、单位灌溉面积机电井数、土壤有效保水系数、农机动力系数等4个因子可以作为全省农业综合抗旱能力评价的指标；全省农业综合抗旱能力可以划分为高、中、低值区，其中，高值区主要分布在豫中、豫北的大部分地区；中值区比较分散，主要包括中西部低丘、缓岗区，平顶山东部、驻马店及信阳西南部，开封东部-商丘地区，林州-辉县县区；低值区又可分为2个小区，主要包括三门峡、洛阳中西部及南阳地区，信阳中部及东部。

M. Johnstone, a method integrated with an improved threshold function and 2-D wavelet transform, is used to overcome the shortcoming of discontinuity of hard-threshold method and dispersion of the soft-threshold method.

M。 Johnstone提出的多分辨分析小波阈值去噪方法的基础上，用一种改进的闺值函数和二维小波变换相结合的方法，克服了硬阈值法不连续性和软阈值法有偏差的缺点。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。