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This paper is based on the background of the intrinsic relationship among FCSR sequences, 2-adic numbers and rational numbers with odd prime numbers as denominators. Some new cryptological properties of the FCSR sequences are proved.

文中以进位移位寄存器序列、2—adic数和分母为奇素数的有理数之间的内在联系为背景，证明了FCSR序列的一些新的密码学性质。

Taking operation of rational numbers as the carrier, this paper starts the research right from the study on multiplication of decimal, division of fraction and multiplication of rational numbers and studies the "understanding levels of operation of rational numbers and the teaching and learning strategies that matches them."

本论文以有理数运算作为载体，选取小数乘法、分数除法和有理数乘法作为研究的切入点，研究了&有理数运算的理解水平及其教与学的策略&，具体说来，研究了3个问题：(1)学生对有理数运算的理解达到怎样的水平；(2)学生达到某种理解水平的原因是什么；(3)基于学生的理解水平，有效的教与学的策略是什么。

The child could be answer to point two difficulty numbers and to describe their relationship to other numbers on the line,or objects could be gro to represent numbers.

孩子也可以指出数字之间的不同，也可以描述他们这一串数字之间的关系，或者可以使用堆积物体的方法来表达这些数字。

The asymmetry of sidebands can be observed in two aspects:on the one hand,the asymmetry of the power between the positive and the negative order numbers is obvious,which can be observed that the intensity of the positive second order is higher 14.28 dBm than that of the negative same order;on the other hand,the sideband asymmetry numbers from the positive to the negative orders are also obvious,the number of the positive orders is more 5 numbers than that of the negative.

实验结果表明，光谱不对称性主要存在两方面的明显特点：1强度不对称性，最明显时正二级的强度比负二级的强度高14.28 dBm ；2数量不对称性，最明显时正级数量要比负级数量多5个。

Looking from portrait numbers, the divorce ratio climbs fast; looking from the numbers all over the world, China is one of the country with low divorce ratio, so comparative speaking, China is still a country with stable marriage family relation.

从微观看，中国离婚率上升比较快，但从全世界范围内看，中国尚属低离婚率的国家之一，所以说中国是婚姻家庭关系比较稳定的国家。

And all that number crunching led the Sumerians to begin crude speculations about the nature of numbers and processes involving numbers—abstract mathematics.

所有的零碎的数字引导这苏美尔人开始了天然的对于自然数的思索和数字推理的抽象化。

In this master thesis, we mainly discuss the adjacent vertex- distinguishing total chromatic numbers of some special graphs and prove that Zhang"s conjecture holds for these graphs. Then we get the adjacent vertex-distinguishing total chromatic numbers of the Halin Graphs. Moreover, we investigate the Generalized Petersen Graphs, prove that some classes of positive integers can"t structure the Generalized Petersen Graphs and get the result that the adjacent vertex-distinguishing total chromatic number is 5. Finally, based on the number and the parity of circles contained by the graph, we get the adjacent vertex-distinguishing total chromatic number of two classes of graphs.

本学位论文首先主要针对几个特殊图类讨论其邻点可区别全色数，验证了其满足图的邻点可区别全色数的猜想；再证明了非轮的Halin图的邻点可区别全色数；接着研究的是广义Petersen图，讨论了不能构成广义Petersen图的几类正整数，并证明了该图的邻点可区别全色数等于5；最后，根据图所含圈的个数及其奇偶性得到了两类图的邻点可区别全色数。

Another area of study is size, which leads to the cardinal numbers and then to another conception of infinity: the aleph numbers , which allow meaningful comparison of the size of infinitely large sets.

另一项研究的领域是大小，这引起了基数，然后引起了无限的另一个概念：在阿莱夫数，使无限的大套的规模有意义的比较。

Computers work not only with numbers, but with alphanumeric data -names, words, stock numbers.

计算机工作不仅与数字，但字母数字数据的名称，文字，股票号码。

The results suggest: the three culturalss pollen germination percentage were more than 60% 4 h after cultured in liquid culture medium composed 10% sucrose, 24℃; Florescence most concentrated April third-tenth (2003); For Zaomeisu and Qiyuesu ,their anthotaxy and flower self setting fruit percentage were more than 90%,except for China pear 1, anthotaxy self setting fruit percentage was 48.3%, flower self setting fruit percentage was 33.1%; Their cross-compatibility was higher, anthotaxy and flower self setting fruit percentage almost reached 100%, the lowest also reached 94.9%, but last self-compatible gathering fruit percentage was lower comparatively and fruit average seed numbers were lower, while cross-compatible gathering fruit percentage and fruit average seed numbers were closed to that of nature pollination.

对梨品种亲缘关系很近的早美酥、中梨1号、七月酥等进行的花粉发芽率、花期调查、自交亲和性、异交亲和性调查的结果表明：三者的花粉在10%的蔗糖液培养基上，24℃左右培养4h后花粉发芽率均能达到60%以上；三者的花期大都集中在4月3日-10日(2003年)；早美酥、中梨1号、七月酥的自花授粉坐果率，除中梨1号的花序自花授粉座果率为48.3%，花朵自交座果率为33.1%外，早美酥、七月酥的花序自交座果率和花朵自自花授粉座果率均达到90%以上；它们的异花授粉坐果率更高，在本试验中花序坐果率和花朵坐果率都可达到94%以上，但最终采果率自花授粉的相对低一些，果实平均种子数也低，异花授粉的最终采果率和果实平均种子数与自然授粉条件下的近似。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。