解析的

In order to study the nonuniform temperature rise and thermal effect in the Yb:YAG crystal,based on the theory of semi-analytical thermal analysis and working characteristic analysis of Yb:YAG microchip with super-Gaussian beam end-pumping and back-face cooling,a new solution of heat conduction equation was introduced and the general expressions of temperature field,thermal distortion field and additional optical path differences of Yb:YAG microchip were obtained respectively.

为了研究抽运光在Yb：YAG晶体内产生的非均匀性温升以及引起的热效应问题，以半解析热分析理论为基础，结合超高斯光束端面抽运、背向冷却Yb：YAG微片工作特点分析，采用热传导方程一种新的求解方法，得出了Yb：YAG微片内部温度场、热形变场、附加光程差的半解析计算表达式。

And the application of chemometrics in complicated biochemical system can solve some problems and obtain the equilibrium concentration and pure spectra of each component. This thesis is divided into five parts: Part I In part one, firstly, the structures, functions and natures of proteins were introduced briefly.

本论文尝试将化学计量学方法多元曲线分辨-交替最小二乘法用于解析实验得到的光谱数据，讨论了方法的原理和实际应用，并探讨了化学计量学在复杂的生物化学体系中实现同时解析多组分平衡浓度和纯光谱的可行性。

From the ultrashort pulsed Gaussian beams, based on the properties of Laguerre polynomial, a family of solutions are found in theory, which represents a new family of ultrashort pulsed beams called ultrashort pulsed elegant Laguerre-Gaussian beams.

从超短高斯脉冲光束出发，根据拉盖尔多项式的性质，用理论解析推导的方法，给出了一组新的超短脉冲光束的解析解，称为超短复宗量拉盖尔高斯脉冲光束。

A genetic algorithm based on feasible field constraint and shared niche technique is introduced to enable this RBFNN to acquire the ability of reconstruction.

最后将具有结构自学习能力的 RBFNN成功地引入至谱图的重叠峰解析辨识研究中，试图建立一种适应光谱和色谱谱图重叠峰解析辨识的统一架构，并达到了预期的目的。

For different parameters, the diffraction patterns of the expression of the Fraunhofer diffraction are identical, indicating the correctness of the expression.

在各种参量条件下，近似解析式所表示的衍射图样与严格的夫琅和费衍射积分的衍射图样完全一致，这表明用此解析式表征远场衍射是正确的。

Because of the fact that there exists a mathematical identity between the statically indeterminate moments in the compatibility equation and the fiber stresses in the equation of eccentrically loaded columns, in analyzing singly-connected rigid frames with degree of redundancy not more than 3, it is usually possible to use the familiar formula for short columns eccentrically loaded to analyse the indeterminate moments, which is called the column analogy.

在解析小於三次靜不定的單空剛構時，由於變形諧調條件中，靜不定彎矩的關係式與直柱偏心受壓中應力的關係式形式相似，常可利用在材料力學中已熟悉的偏心受壓柱公式來幫助解析，這就叫做柱比分析法。

Based on the Rayleigh-Sommerfeld diffraction integral and complex analytical signal representation,the free-space propagation equation and its Fourier spectrum for ultrashort chirped pulsed Gaussian beams are derived,and the far-field analytical electric field and spatial intensity are presented.

基于瑞利-索末菲衍射积分，使用复解析信号法推导出了啁啾脉冲高斯光束在自由空间中的传输方程及其傅里叶谱，给出了远场的光场和空间光强的解析式，研究了啁啾参数C对脉冲光束传输的影响。

It implies that the jaggies induced by the coarse resolution will be removed and the rendition of character details also needs to be improved, and the character clearness and legibility are also enhanced.

这意指由粗糙解析度所造成的锯齿效果将被消化以及字元外形精细部分的产生也须改善，如此才能有效地将低解析度的锯齿状边缘磨平，且亦提高字元的清晰度与可读性。

Then it is gradually used to replace the optical encoder of a servomotor. However, the resolution of a magnetic encoder is not so good as that of an optical encoder. When the magnetic drum was magnetized the required pole pitch is needed very small in size, in order to satisfy the requirements of the resolution in a servomotor.

然而，磁性编码器的解析度尚不及光学式编码器，为了磁性编码器可满足伺服马达机构中所要求的解析度，因而当将磁性编码器内的磁环充磁时，其极间距必须尽可能地缩小，以使得可充磁的极数增加。

The analytical equations of workspace boundary surfaces for the octahedron parallel machine tool and the new type of parallel machine tool are derived based on the forward displacement analysis. Based on it, the projection graphs of workspace boundary surfaces are drawn.

提出了并联机床工作空间分析的解析方法，得到了八面体并联机床和新型并联机床的工作空间边界曲面的解析方程，并在此基础上绘出了工作空间边界曲面的图形。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失