查询词典 analytic expression

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all th...

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the theory and experiments, the paper builds up the simplified mathematical model of the servo control system, deduces the system control rigidity expression, and points out the method to improve control rigidity. According to Routh stability criterion, the analytic stability condition is solved, which shows the conflict between the stability and control rigidity and that gyroscope is the key factor of the conflict.

论文结合理论和试验建立了光电稳定伺服控制系统的简化数学模型，推导出系统控制刚度表达式，指出提高控制刚度的方法；利用劳斯判据求解出系统稳定的解析条件式，描述了稳定性与控制刚度之间的矛盾，并指出陀螺是矛盾关键。

Purpose With immunohistochemical methods under the light and eletronic microscopic level, together with the computer analytic techniques , the expression changes of the synaptophysin in the hippocampus of the rats that have obtained the abilities of spatial discriminative learning and memory established by water maze during the different periods will be studied, after they stopped training. Probing into the relationship between the amenia of the spatial discriminative learning and memory with the expression changes of the synaptophys in.

目的 用免疫组化的光、电镜方法结合图像分析技术，检测经水迷宫训练获得空间辨别性学习记忆功能后的大鼠在停止训练的不同时间段其海马结构内突触素表达的变化。

The traditional research pass wades the point of departure when we researches language problem in the modern new poetry is usually the static-state linguistics, i.e., it explains the rhythm, rhyme and choice of vocabulary from the opposite static layer of the phrase, such as the pure phrase logic and the grammar layer and so on. Though this kind of angle of view of does major contribution in studying language of the modern new poetry, it also brings the irregularity of analysis equally, because its abstract and regular analytic method can't correspond with the modern new poetry whose expression of character is freedom and immediate, and thus obstructs us to have further cognition of the language of the modern new poetry.

传统的关涉现代新诗语言问题的研究的出发点往往是静态语言学，也就是从单纯的语词逻辑、语法层次等相对恒定的语言层面来阐释现代新诗的音韵、节奏乃至词汇选择，这种语言视角尽管为现代新诗的语言研究做出了重要贡献，但同样也带来诸多分析上的弊端，它的这种定型的归纳和抽象的规则化分析方法无法更好地切入到以自由和随即为表述特征的现代新诗语言，也就在一定程度上阻碍了人们对现代新诗语言的进一步认知。

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