查询词典 rational numbers

If we rechange these two numbers:one other to four times as many as its original value,the average of the five numbers will become 13.Which two numbers have been changed\?I only know that the total sum of the original numbers is 45(5×9),thd total sum of the 5numbers after the first change is 40(5×8),and the total sum of the 5numbers after the second change is 65(13×5).What can Ido next\?Please help me with the problem.Thank you!Mathematics Maniac,Zhongwanting

这就要求琬婷一方面要用王牌外语准确地把她想要问的问题清晰地表达出来，只有这样网上"数字博士"才能明白你要问的问题；另一方面琬婷还必须能够正确理解网上"数学博士"对她所提问题的英语答复，这两者是相互依赖的，否则就不能正确地帮助你理解和解决问题，这就要求琬婷必须用王牌外语进行正确地表达和理解。

The results showed that the sex ratio of trees was 1 m 2 f, and the natural T. cuspidata tree was able to sexually reproduce for many years. Male trees had fecundity when the diameter at breast height ranged from 1.5 cm to 92 cm, while female trees had fecundity when the DBH from 9.5 cm to 68.1 cm. Male trees typically flowered at the age about 20 years earlier than female trees. The numbers of microstrobili were 3 times more than that of megastrobili, and only 1/10 megastrobili developed into seed. The numbers of strobili and seed were correlated with DBH, crown diameter and height of trees; however, no significant correlations were observed with other site factors. Numbers of strobili decreased from the upper to lower canopy layers, while the quantity of seed decreased from the middle, upper to lower canopy layers. Seed-setting rate increased from the upper to lower canopy layers. Numbers of strobili and seeds in different directions of the canopy were not uniform, but the differences weren't significant.

结果表明：现实东北红豆杉天然种群中，♀♂性比为1：2；天然东北红豆杉有性生殖持续时间长，雄株胸径在1.5~92cm，雌株胸径在9.5~68.1cm保持生殖状态，雄株较雌株早约20年进入花期；天然东北红豆杉小孢子叶球数量平均为大孢子叶球数量的3倍，大孢子叶球转化为果实的数量不足1/10，孢子叶球数量、结实数量与样株的胸径、冠幅、树高显著相关，与其他立地因子相关不显著；孢子叶球数量在冠层间的分布呈现由上至下的递减规律，而结实数量在冠层间沿中、上、下递减，结实率沿冠层自上而下递增；孢子叶球与结实数量在树冠不同朝向上也呈现出一定的特点，但总体上差异不显著。

The numbers of clusters made up of 1551 and 1541 bonded pairs representing the non-crystal structure occupy predominate position and the small numbers of clusters made up of 1431, 1661 and 1441 bonded pairs coexist in the non-crystal system at 4×10〓K/s cooling rate, thus there exist a large number of icosahedra clusters in the non-crystal system. The numbers of clusters made up of 1421 bonded pairs corresponding to the fcc-like structure occupy predominate position and the small numbers of clusters made up of 1422 and 1551 bonded pairs coexist in the crystal system during the 4×10〓K/s cooling process, thus the system can form the regular fcc-like structure.

在4×10〓K/s的冷速下，标征体系非晶结构的五重对称键型1551和1541所形成的小团簇数量在非晶体系中占主导位置，同时还存在少量的1431、1441和1661等其它键型形成的小团簇，这样，体系中含有大量的二十面体团簇结构；在4×10〓K/s的冷速下，标征面心立方结构的1421键型所形成的小团簇数量在晶体中占第一位，同时还存在一定量的1422、1441和1661等其它类型的键对所形成的团簇，体系最终形成面心立方结构。

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何，主要考虑如下的问题：平面上的点集的复数表示；平面曲线的复数表示；复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用，在说明这些应用的同时介绍一些数学上常用的思考方法。

Instead of choosing, for example, six numbers out of forty-nine total for your ticket, you give Lotto Luck ten numbers to work with (or tell it to generate ten random numbers if you prefer), and then it generates ten *different* tickets from that pool of ten numbers.

而不是选择，例如， 6号码出49总额为您的机票，你给乐天运气10编号，以工作（或告诉它产生10随机编号，如果你喜欢），然后它生成10 *不同*门票从这个池的10号码。

Additional functions:telephone numbers in the table shielding each number marked "O" is an effective numbers If the numbers do not shield the numbers can be labeled as "X" marked change in the method of the menu options:option-marking, or by direct navigation key.

附加功能：在屏蔽，每年有多少电话号码表标有&O&类是一种有效的号码，如果号码没有盾牌的数目可以说是&X&的显着变化中的菜单选项方法：选择标记，或标记直航的关键。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

We should set the criminal prove standard with "remove rational doubt" in model select of criminal prove standard in our country, and frontal demonstrat in the point of view of recogniyetion, at the sametime, this papeer disproof the rational and feasible "remove rational doubt" from "objective true" in the practice of judicature.

本文在对"客观真实"和"法律真实"的非合理性作了论述之后，提出了作者的观点：在刑事证明标准的模式选择上，应以"排除合理怀疑"为我国的刑事证明标准，并从认识论的角度作了正面的论证，同时，也从"客观真实"在司法实践中的困惑这一角度反证了"排除合理怀疑"的合理性和可行性。

This paper makes a conclusion for the procedure of rational number wavelet filter design, and with the example of length-4 rational number wavelet filter, makes a discussion on the determination of free variable value range which appears in the design equation, then obtains a rational number wavelet filter that applicable for image processing algorithm realization based on vision sensor hardware.

本文归纳总结了有理系数小波滤波器的设计过程，并以长度为4的有理系数小波滤波器设计为例，对如何确定设计方程中自由变量的取值范围进行了讨论，以得到适用于视觉传感器图像处理算法硬件实现的有理系数小波滤波器。

The significance of rational interpolation of NURBS curve is obvious. But people often adopt non-rational interpolation. The study of rational interpolation is very little.

有理插值在构造NURBS曲线曲面以进行形状表示与设计中有着重要的意义，但是目前大多数都采用相对简单的非有理插值，关于复杂的有理插值的研究不多。

They experience feelings deeply and intensely, and their emotions are often mercurial.

他们的感情深刻而强烈，情绪善变。

Surrounded with or as if with a rampart.

用城墙围绕的用城墙围绕的或类似于为城墙围绕的