形式

The matrix elements of SU(1,1)displacement operator in theirreducible representation space are obtained.

这种表达式比以往的级数表示形式和拉盖尔多项式表示形式更加方便和简洁，易于进行数值计算。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

In the past years, the settlement to the problem has been mostly bottom disposure: the means only transforms waste from one form to another, and the waste doesn"t disappear from the earth or is reused in the new flow, thus this can"t resolve the problem ultimately.

近几十年，对这一矛盾的解决主要还是停留在废物的末端治理上，但从长远看，这种方法只是将废物从一种形式转化成了另一种形式，该废物并没有从地球上消失，也很少被重新利用进入新的流程，所以这种方法是治标不治本的。

Results show that hydrates dissociation in terms of pore surface is faster than that of particle by particle.

结果表明，水合物以孔隙表面形式分解的速度要快于以粒子－粒子形式分解的速度。

Apparently, the evolution have generated the situation of the separation of monosyllabic form and disyllabic form, and thus generated the form system of direction words. The totally different paralleling dual system is the basis of the later evolution. The monosyllabic and disyllabic direction words has gradually come into the weakened meaning or morpheme,while disyllabic direction words has more substantive nature,with more freedom in the sentences.

可见，语义的发展变化最终导致了汉语方位词形式系统单双音节两分的局面，这两种形式方位词的不同语义特点也是后来发展演变的基础，单音节方位词逐渐走向虚词性或词法平面，而双音节方位词则具有更多的实词性，更为自由地出现在句子中。

Ancient Greek had the dual form but it has merged with the plural form in modern Greek.

古希腊语中有双数形式，但在现代希腊语中已同复数形式合并在一起了。

Relationship between the dual form and primal form of solution based on SVM method in a frameable reproducing kernel Hilbert space is studied.

在基于标架型的再生核希尔伯特空间中，研究了SVM算法下，解的对偶形式和原形式之间的关系，进而将SVM算法与最小二乘法相结合，讨论了支持向量机的半参数估计。

Worry,touch,puzzle,dumbfound,shock,astonish,excite,disappoint,encourage

inspire…它们的-ing 形式表示"令人/使人……的"，它们的过去分词形式表示"感到……的"被动，adj。

Although the basic material of archives collection and research arepublic information, the composition of such collection and research are theintellectual product of relevant researchers. The re-organization of archiveinformation which includes independent thoughts, ideas and editing making therelevant product creative and duplicable, thus it is protected by the Copyright Law. 8. The copyright protection of the archive composition in Internet, includingthe digital archive composition in Internet, disseminating right convinced in Internetand download archives composition. 9. The infringement of copyright and relevant liabilities in the archive useactivities.

档案馆室的编研工作是档案部门提供档案为社会服务的高级形式，档案编研工作的内容、编研目的、档案编研成果价值的实现形式等因素，决定了档案编研素材虽取自公共档案信息，但编研作品融入了档案编研人员的智力性劳动，正是对档案信息的重新整合而表现出的独立构思、独到的见解、独特的编排体例，使得档案编研成果具备了作为受《著作权法》保护的作品的最为主要的特点——独创性和可复制性，因而完全符合《著作权法》所保护的作品的条件。

Owing to the early origin of the Latin version (probably the second century of our era), and to its intimate connection with both the Greek and Hebrew texts, a good edition of its primitive form, as far as this form can be ascertained, is one of the chief things to be desired for the textual criticism of Ecclesiasticus.

由於早期起源拉丁美洲版本（可能是我们的第二个世纪的时代），和它的亲密联系与希腊和希伯来文，一个良好的版本，原始的形式，至於这种形式可以确定，是一个主要的事情有待改进的考证

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。