This paper introduces the proof and application of Cauchy mean-value theorem from many angles in every aspect.
本文介绍了柯西中值定理的多种证明方法及其应用。
Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.
最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。
Whereas the mean value for the previous 20 winters had been 5.04C.
而与此相对的，在过去20年中冬季气温的平均值为5.04摄氏度。
The key thing to remember about random variables is that actual observations are centered around an average, or mean value.
对于随机的变化关键要记住的是，实际的观测资料都在平均数或者中间值周围。
Figure 6: the likelihood of completing a given task within the mean value of a normal distribution.
图6：完成在正态分布平均值下的现有任务的可能性。
This simple function steps through the data (which is assumed to be a Python container holding numerical data), calculates the mean value of the set of data, then returns the value.
这个简单的函数遍历data(假设data为一个容纳有数字数据的python容器)，计算一组数据的平均值，然后返回值。
The values for file system creation ranged from 0.96 (for XFS) to 7.94 (for ReiserFS), with a mean value of 2.79.
针对文件系统创建的值介于 0.96（对于XFS）到 7.94（对于ReiserFS）之间，平均值为 2.79。
The mean value is passed back via the return statement.
平均值通过return语句传回。
The precision around the mean value should not exceed 15% of the CV, except for LLOQ, where it should not exceed 20% of the CV.
除lloq的平均值周边值精密度不得超过20%外，其他点的平均值周边的精密度CV值不能超过15%。
The mean value should be within 15% of the theoretical value, except at LLOQ, where it should not deviate by more than 20%.
除LLOQ的平均值应不偏离理论值的20%外，其他点的平均值应在理论值的15%之内。
Measure bearing clearance of antifriction bearing and find mean value.
测量减摩轴承轴承间隙并找出平均值。
The rotating irradiation model for ND silicon presented in this paper gives distribution, mean value and heterogeneity of the thermal flux on the cross section of silicon.
本文提出的中子掺杂硅单晶旋转辐照模型，给出了热中子通量在硅断面上的分布．平均值和不均匀度。
The mean value of work loads on a shaft bearing of swivel and rotary table is determined by basic principles of fuzzy theory, considering the loads' fuzziness and the requirement for reliability.
考虑钻机(水)龙头和转盘主轴承工作载荷的模糊性及可靠性要求，应用模糊数学基本原理求得平均计算载荷，从而计算出主轴承的模糊可靠性寿命。
We also measured intimal plus medial thickness in every carotid artery three times and calculated mean value.
我们同时测量每一个颈动脉内膜加中膜厚度三次求平均值。
The results show a good agreement between measured and computed va-lues and mean value of the bias is less than 2.5%.
计算结果表明，计算值与观测值吻合得比较好，计算值与观测值相对偏差的平均值小于2.5%。
On this basis, the mean value of the compression strength and the theoretical value of pile carrying capacity are gained.
在此基础上得到了水泥土抗压强度平均值和单桩承载力的理论值。
On the basis of these theories, Rolle mean value theorem, Lagrange mean value theorem and Cauchy mean value theorem are proved by constructing nested interval.
在此基础上通过构造区间套依次证明了罗尔中值定理、拉格朗日中值定理和柯西中值定理。
The mean value of hematocrit was clinically higher in the patients.
患者的红细胞压积平均值显著高于正常。
Pressure caused by the weight of the atmosphere. at sea level it has a mean value of one atmosphere but reduces with increasing altitude.
因大气层的重量而产生的压力。在海平面上有一平均数值，即一个标准大气压，随着海拔高度增加而减小。
Note: The data of yield are mean value of30 plants, and data of quality are mean value of30 leaves.
注：表中产量数据为30株的平均值，品质数据为30片叶片的平均值。
A robust digital audio watermarking algorithm is presented, which can resist desynchronization attack effectively. We embed synchronization code by modifying the mean value of several samples.
改进了一种可抵抗去同步攻击的数字音频盲水印算法，该算法通过修改多个采样值的统计均值嵌入同步码，解决了空域嵌入同步码的不稳定性问题。
This paper gives the new method to prove the cauchy mean value theorem which also may be deduced from the Lagrange mean value theorem.
给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。
The surface area of aggregate per unit volume of mortar does have influence on the mean value of the nearest surface spacing, but the ratio between them is not constant.
单位砂浆体积下集料的表面积的变化对邻近集料表面最近间距的平均值有影响，但二者之间的比值并非常数。
In this paper, symmetric derivative and symmetric partial derivative are researched and some new differential mean value theorems are defined.
针对对称导数、对称偏导数，给出了一些新形式的微分中值定理。
First, we standardized the size, variance of gray scale and mean value of gray scale of the motor vehicle plate images.
首先，对机动车号牌图像进行大小、灰度方差、灰度均值的标准化处理。
At present, the V_P/V_S ratio keeps in high value anomaly, we should be alert the occurrence of felt earthquakes when the mean value drop.
目前九江—瑞昌地震序列的波速比持续处于高值异常，应当警惕回落到平均值以下后发生显著有感地震。
Under certain condition, these systems are proved by fixed point method and mean value method to have almost-automorphic solution.
在某些条件下，利用不动点方法和平均值法证明了这类方程系具有概自守解。
Take the mean value of dimensional change rate of the 3 test pieces in longitudinal or transverse directions as the test result.
分别计算3块试件纵向或横向的尺寸变化率的平均值作为纵向或横向试验结果。
The results indicate that the mean value of the scattering coefficient was 850.
结果表明：观测期间气溶胶散射系数小时平均值为850。
The results indicate that the mean value of the scattering coefficient was 850.
结果表明：观测期间气溶胶散射系数小时平均值为850。
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