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Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

In this framework, image frame, audio and text are represented, which are the three modalities in video shots as data points by the 3rd-order tensor. Then a subspace embedding and dimension reduction method is proposed, which explicitly considers the manifold structure of the tensor space from temporal-sequenced associated co-occurring multimodal media data in video. It is called TensorShot approach. Transductive learning uses a large amount of unlabeled data together with the labeled data to build better classifiers. A transductive support tensor machines algorithm is proposed to train effective classifier. This algorithm preserves the intrinsic structure of the submanifold where tensorshots are sampled, and is also able to map out-of-sample data points directly. Moreover, the utilization of unlabeled data improves classification ability.

在此框架中，视频镜头首先被表示成由视频中所包含的文本、视觉和听觉等多模态数据构成的三阶张量；其次，基于此三阶张量表达及视频的时序关联共生特性设计了一种子空间嵌入降维方法，称为张量镜头；由于直推式学习从已知样本出发能对特定的未知样本进行学习和识别，最后在这个框架中提出了一种基于张量镜头的直推式支持张量机算法，它不仅保持了张量镜头所在的流形空间的本征结构，而且能够将训练集合外数据直接映射到流形子空间，同时充分利用未标记样本改善分类器的学习性能。

20 Two of these are explicitly stated in the Committee's terms of reference.

3.20，其中两项是在明确规定的职权委员会的职权。

That is usually a good idea, so we can test the function before explicitly making it a method.

这是个好的主意，这样在明确地将函数作为一个方法前，我们可以检验这个函数。

Explicitly consider the scenario where there is exactly one tollbooth per incoming travel lane.

具体地考虑每一个进入收费广场的交通线路上刚好有一个收费亭的情形。

Based on the equivalence between transformation equation and constrained equation consisting of times explicitly,the unified description of criteria for scleronomic constraint and scleronomic system is proposed.

根据变换方程与约束方程显含时间的等价性，提出了定常约束与定常系统判据的等同表述。

Files that contain translation tables for all strings (those that you explicitly mark as language dependent) for any of the languages you want to support.

包含所有你想要支持为其它任一语言的字符串的翻译列表的文件。

The classical school explicitly or implicitly recognizes and applies the principles of the trivium.

经典学校或明白或含蓄地认可三科原则。

While many researchers appear to accept this relationship between risk and trust, the relationship between the risk propensity of the truster and trusting behavior has not been explicitly studied.

中文摘要即使很多研究者都接受信任与风险之间有关系这一观点，但是信任者的风险倾向与其信任行为之间的关系并没有被明确的研究证实。

Article 29 A publication must, in accordance with the relevant provisions of the State, explicitly state the names and addresses of the author, publisher, typographer/reproducer or distributor, the book number, serial number/publisher's code, the publication date, the publishing frequency and other relevant items.

第二十九条出版物必须按照国家的有关规定载明作者、出版者、印刷者或者复制者、发行者的名称、地址，书号、刊号或者版号，出版日期、刊期以及其他有关事项。

Multifold report forms and statistic diagrams can be generated and the control diagram required for working procedure can be produced.

生成各类统计报表，和统计图，做出工序控制所需的控制图。

The best example of their conservativeness would probably be the case of how they had treated Galileo.

我们从教廷如何对待伽利略就可看出他们对於科学性的新发现是多麼的恐惧。