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We proposed theautomatic and semi-automatic inverse Laplace transform methods and acriteriar for the optimal choice of transform parameters.24 numerical inverseLaplace transform formulas are compared for 16 different problems that haveexact solutions.

利用流行的数值积分方法，如Newton-Cotes求积公式、Gauss求积公式和振荡函数求积公式，共构造了24种Laplace逆变换方法。然后以16个有工程应用背景的Laplace逆变换问题为例，比较了这24种方法的优劣，得到了一些新的结论。

Currently familiar formulas called normalized correlation, which are used for evaluating the similarity degree of digital watermarks, showed their big shortage when expressing the similarity degree of extracted watermark and original watermark in inverse similarity.

摘要当前常见的作为评价数字水印相似程度公式的归一化相关值，在表示提取出的水印与原始水印反面相似时存在很大的不足。

We establish the relation of inversion formulas among generalized Radon transform with known weight functions, the exponential Radon transform and classical Radon transform, furthermore obtain approximate inversion formula of the exponential Radon transform, the idea of approach above is applied to contour reconstruction and is generalized to n-dimentional euclidean space case. We discuss the support theorem, range condition of the exponential Radon transform.

本文建立了带权广义Radon变换、指数型Radon变换与古典Radon变换反演公式的关系，从而得到指数型Radon变换的近似反演公式，并且应用这种思想方法于轮廓重构，并将这一结果推广到任意维欧氏空间的情形；讨论了指数型Radon变换的支集定理及值域条件。

WT9.BZ: Theory of generalized tautology in logic system , W and W k is generalized and applied to Lukasiewicz logic system. The main results are as follows: congruence about on set of logic formulas F has been obtained in the system; it is proved that in this system, for any irrational number α, there does not exist accessible α-tautology; and for any real number α, there does not exist accessible α+-tautology; and the relation theorems have been given between categori...

将逻辑系统 W ，W ，Wk 中的广义重言式理论进行推广并应用到Lukasiewicz逻辑系统中，主要结果是：得到了逻辑公式集F在该系统中关于﹁同余的分划；证明了在该逻辑系统中对每个无理数α而言，不存在可达α重言式，且对每个实数α而言，不存在可达α+重言式；给出了广义重言式、广义矛盾式各类之间的关系定理。

Draw perspective formulas for the isomers of isoleucine.

画出异亮氨酸异构体的透视式。

With the matrices recurrence method the analytical formulas to study the displacement and stresses of transversely isotropic layers, subjected to surface loading are derived.

然后，利用矩阵递推方法，求出多层横观各向同性地基在表面荷载作用下位移和应力的一般表达式。

This paper analyses the operation characteristic of portal jib crane,and discuss selecting principle and calculation formulas of motor and capacity which frequency inverter and it's brake type and accessory of the AC variable frequency and speed regulation applied to portal jib crane , finally introduce case which CHV190 inverter applied in portal jib crane .

本文分析了门座式起重机的运行特点，详细阐述了英威腾 CHV190起重机专用变频器用于门座式起重机调速时的电动机、变频器及其制动方式的选型原则和变频器周边设备的容量计算方法，最后介绍了 CHV190变频器在门座式起重机中的应用案例。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus. 2. By C.Thomassen's work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus.2. By C.Thomassens work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

It forms part of what has been called the "practical" Kabbala, and supplies formulas by means of which the adept can enter into direct communication with invisible powers and thereby exercise authority over demons, nature, diseases, etc. To a large extent it is the natural outcome of the extraordinary hidden meaning ascribed by the Kabbala to the words of the Sacred Text, and in particular to the Divine names.

它的组成部分，所谓的"实际" Kabbala和用品公式的方式而善於可以进入直接沟通与无形的权力，从而行使权力的恶魔，性质，疾病等，在很大程度上是自然成果的意义非常隐蔽的原因Kabbala的话，神圣的文字，特别是对神圣的名字。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。