查询词典 convolution theorem

Part four will prove the following 4 theorems : theorem 1 :the curvature and torsion of the locus of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral remains to be function t , but not trigonometric function t .

第四部分证明四个定理分别为定理1 由坐标系原点至圆柱螺线的切线所引垂线的垂足的轨迹曲率和挠率仍为t的函数，但不是t的三角函数。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

This result is a higher-dimentional analogue of the Fundamental Theorem of Calculus: it expresses the integral over D of some kind of derivative of P and Q in terms of an integral of P and Q over the boundary of.

格林公式建立了曲线积分和二重积分的关系 O 这是微积分基本定理在高维情形的推广：它将上P、Q某种形式的导数的积分用的边界上 P、 Q 的积分表示出来。

And based on this conclusion, Darboux theorem on open interval is also given.

在此基础上给出有限开区间上的达布定理。

Darboux theorem on open interval is also given.

在此基础上给出有限开区间上的达布定理。

Based on the analysis of the theorem and constitute of emulsin deaerator,this article illustrate that emul- sion deaerator could deaerate the entrained foam in papermaking,increase the retention and sizing efficiency,and improve paper machine runnability.

通过对乳液型脱泡剂的工作机理和组成特点的分析，说明了乳液型脱泡剂应用在造纸生产中可以脱除浆料中的携带泡沫，提高助留效果和纸张的施胶度，并且可以改善纸机的运行性等。

A necessary and sufficient exponential stability theorem with respect to a constant decay degree for general nonlinear dynamical systems is presented.

首先给出了一般非线性动态系统的关于常衰减度的指数稳定性充分必要定理，接着探讨了新型指数稳定性定理在线性系统稳定性分析中的应用。

Based on gas-state-equation in const-volume and propellant geometry-combustion theorem,a method for deci- ding the characteristics of deterred propellant is given.

根据定容燃烧气体状态方程和火药几何燃烧定律，推导出一种确定钝感发射药特征量的计算方法，并对某种火药进行钝感处理和计算，结果与火药切片的电扫描结果相符。

Two normal forms, best-simple normal form and literal normal form, are presented at first in order to eliminate the complexity of formulas decision. Based on the two normal forms, a deduction proof of decidability theorem in L and a decision algorithm P based on deduction for proportional formulas are given and a decision machine found on P, DMBD, is also designed.

首先提出了消解复杂性的两种范式：最简范式和文字范式，在此基础上给出了L的可判性定理的演绎证明及命题公式的演绎判定算法P，并基于ML语言设计了基于P的演绎判定机DMBD。

Based on the two normal forms, the decidability theorem in L is then proved and a deduction-based decision algorithm P is designed. The time complexity O(n3) of P is much less than the complexity O(2n) of the true value table method and the complexity O(n5) of HAL based on the tactic scheme.

首先定义了消解复杂性的两种范式：最简范式和文字范式，在此基础上采用演绎方法证明了L中的可判定性定理，并设计了命题公式的演绎判定算法P。P的时间复杂度为O(n^3)，远远小于基于真值表法的O(2^n)和基于策略方案HAL的O(n^5)。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。