查询词典 exponent notation

The mechanism of instability wrinkling in the process based on minimum energy principle is revealed, uniform mathematic description of the wrinkling wave on the strip of in-plane bending is established, the internal and external energy is deduced by energy method, and a uniform criteria of internal and external wrinkling is established; then how to combine the criteria with the FEM simulation system to make the numerical prediction of wrinkling into reality is also resolved in the paper. The effects of the forming parameters on the deforming result are analyzed by the uniform predict criteria. The results show as follows: as the compress width increase, external wrinkling first come into being, then internal winkling do, and finally in-plane bend occur; the loading wedge angle increase, internal winkling first come into being, thenin-plane bend do, and finally external wrinkling occur; in-plane bend is possible to occur with a increase of the strain-hardening exponent and the strength coefficient; and the effect of the friction factor may be ignored.

2揭示了板带不均匀压下面内弯曲成形过程基于能量原理的失稳起皱机理，提出了统一的描述内外缘起皱波形的函数，采用变分法推导了服从该波形函数的内外缘起皱能，建立了统一的起皱预测准则；将新建立的统一的起皱预测准则引入到数值模拟系统IBS中，数值预测结果与实验结果的吻合较好；分析了成形过程各参数对起皱的影响规律：随着接触变形区宽度的逐渐增大，先是发生外缘起皱，然后发生内缘起皱，进而才出现稳定成形；随着实际加载楔角的增大，先是发生内缘起皱，然后发生稳定成形，进而出现外缘起皱；硬化指数和强化系数增大，易于稳定成形；摩擦因子对起皱的影响不明显；而且接触变形区宽度对起皱的影响最大。

Based on the fractal characteristics of the blasting fragmentation distribution,the paper derived a relationship between the explosive specific charge and the uniform exponent of the distribution,which is instructive for predicting the fragmentation.

基于爆破块度分布的分形特征，从理论上推导了炸药单耗与爆破块度分布均匀性指数的关系，对爆破块度分布的预测具有重要的指导意义。

It is shown that the critical exponent of blow up belongs to the blow up case.

并且讨论了临界爆破指标属于爆破的情形。

On the basement of conventional direct fan-beam reconstruction, this paper gives a newly improved algorithm-"fast filtering-backprojection". This method utilizes the symmetrical circle geometry to sample projection data, and reconstructs image on the Polarcoordinate firstly, then translates this reconstructed image onto the cartesian coordinate system with two interpolating operations so that the computer can show the result image on the VGA screen. This algorithm rebates the calculating backprojection greatly, and shortens a few times of reconstructing time than same kinds of means. With the size of image enlarging, the reconstructing time abates with 2 exponent times. In addition, according to the idea of parallel-beam, we rearrange the fan-beams and reconstruct image using parallel-beam method fastly. The rearranging constraint condition is given here.

本文首先在传统的扇束直接重建方法的基础上，提出了一个改进的快速滤波反投影重建算法，它利用旋转采集投影数据的圆周对称的几何关系，先在极坐标系统内进行图象的重建，然后通过两次内插运算再将图象转换到计算机显示方式下的笛卡尔坐标系中去，该方法将以往的直接重建方法中的反投影时所需的运算大大降低，并将重建时间比同类方法缩短了几倍，而且随着重建图象的尺寸的增大，重建时间以2的指数次方倍相对缩短，并获得了较好质量的重建图象；另外，又根据平行束投影重建图象的思想，对扇形射束进行了重排，然后利用平行束重建图象的方法进行扇束的重建，并推导了&扇束重排重建图象&方法的约束条件。

The regression period of cotton aphid: The spatial patterns of aphid population were confirmed to exponent, linear and nugget model under large scale along with the time sequence, respectively, results suggested that the spatial patterns were aggregated, medium intensity aggregation and random distribution, respectively, and the space continuity is decreasing.

3消退期：大尺度下按时间顺序，棉蚜的变异函数模型分别为指数型、线性及块金模型，表明空间格局分别表现为聚集型、中等强度和随机分布，棉蚜种群的空间自相关性及空间连续性在后期递减。

The exponent of each item was discovered based on the optimizing the diagram factor, minimum radius of the cam curvature, maximum positive and negative accelerations of valve.

对于每一项的指数，则采用对气门运动加速度、丰满系数、最小曲率半径等优化的方法来寻求。

By this step, lengthy codewords with many leading zeros, which are common in the codebook, are represented in a compressed form by the exponent and mantissa fields of the floating point result.

通过此步骤，在码本中常见的，具有多个前导零的长代码字由浮点结果的指数和尾数字段以一种压缩的形式表示。

Resources and its artificial cultivation. Using the calculation formula of Shannon-Wiener exponent niche breadth, the niche breadth of E. brevicornum in Jinchengshan forest park of Jialinajiang River basin under different environmental factor range were determined. And the suitable environmental factors for the growth of Jingchengshan F. brevicornum in natural vegetation community were discussed.

方法］采用Shannon-Wiener指数生态位宽度计算公式，对嘉陵江流域金城山森林公园淫羊藿在不同环境因子范围上的生态位宽度进行测定，探讨自然植被群落中金城山淫羊藿生长的适宜环境因子。

Orthogonal polynomial and three parameter exponent function model to treat fatigue crack growth curve.

疲劳裂纹扩展曲线的正交多项式与三参数指数函数拟合法。

Compared with the exponent function, the power function can be more suitable for fitting the change of chemicals concentrations in runoff under unsaturated conditions from the loess slope,as well as,the mass loss of potassium and bromine in runoff,but not for initial phase. The study offered a reference for developing the model of soil nutrient in runoff transport of the loess slope.

同时利用两种类型描述径流养分浓度模型对实测资料进行分析，结果显示与指数函数模型相比较，采用幂函数模型能够较好地模拟黄土坡面非饱和条件下径流溶质浓度变化过程，同时幂函数模型也能够较好地描述径流中钾离子和溴离子的质量变化过程，为进一步完善黄土坡面径流养分迁移模拟模型提供了参考。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。