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Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

Phosphor change 1.2 helminthic agents steel of aluminous tablet; is bottled carbon dioxide gas. 1.3 circumfluent equipment and tray of testing instrument stainless steel a certain number of;CHXY100/65-Ⅲ movable type are circumfluent detector of chroma of gas of phosphine of;HL-210 of equipment of fuming or steaming-treating diseases with fumes as in moxibustion or with steam generated by boiling medicine herbs. 2 experiments method 2.1 install bug basket and dot of phosphine gas sampling to offer bug trying a storehouse to be mixed in experiment storehouse respectively contrast collect inside the storehouse, choose, every storehouse cent installs 3 bug basket, place respectively in: Pay Yan Xing bing4 ru4 gao1huang1 ③ of number of place of the 4m below cover of food of northeast part of caboodle of grain of; of ② of number of the 2m below cover of food of part of southeast of caboodle of grain of; of ① of number of this Chang?

两仓熏蒸试验时的条件见表1.1.2杀虫药剂56%磷化铝片剂；钢瓶装二氧化碳气体。1.3环流设备和检测仪器不锈钢托盘若干；CHXY100/65-Ⅲ移动式环流熏蒸设备；HL-210磷化氢气体浓度检测仪。2试验方法2.1设置虫笼和磷化氢气体取样点供试仓虫分别在试验仓和对照仓内采集、筛选，每仓分装3个虫笼，分别放置在：粮堆中心粮面下50cm编号①；粮堆东南角粮面下2m编号②；粮堆东北角粮面下4m处编号③。

The result indicated that 237 combinations amplified a total of 13 079 AFLP fragments with an average of 55 fragments, the average of 1.30 markers per 1 000 AFLP fragments were found to be linked to clubroot resistant gene; the amplified polymorphic fragments were 3 167 between the two parents, account for 24 percent of polymorphic frequency; the number of amplified fragments and the number of polymorphic fragments was in positive linear correlation; GC content of AFLP primer combinations significantly affects the number of amplified fragments and the number of polymorphic fragments, indicating negative linear correlation between them.

结果表明：平均每个组合检测到55条带，共扩增13079条带，平均每1000条带检测到1.30个根肿病抗性基因连锁标记；多态性带数为3167条，双亲间多态性频率约为0.24；扩增带数与多态性带数呈线性正相关，引物组合中的不同GC含量与扩增带数和多态性带数存在显著性差异，并表现出线性负相关。

In this thesis, we will mainly do research on the novel scheme for Digital image Steganography, Digital Image Secret Transmission in network and the development of the information hiding device for application. The main contributions of this thesis are as following: The novel conversion method for mapping image to complex number is proposed, and the plus, minus, multiply and complex conjugate operation of image are defined based on Positional number systems and complex number system. Following new results have been gotten: 1 The suitable complex number basis to be used to express integers is a big set. 2 Any image can be mapping into a one-to-one point. 3 Lots of image processing problem can be considered based on geometric theory.

在本论文中，研究工作集中在数字图像伪装算法的新模型、图像在网络中的加密传输的新方案和信息伪装设备的研发等三个方面，主要包括：基于位值制记数法和复数系理论，提出利用复数作为基底的数字图像新的表示方法，用复数运算定义了图像和图像间的"加"、"减"、"乘"、"共轭"等运算关系；得到理论结果： 1、能表示任何整数的复数基是很大的一个集合。2、任何一幅图像，都能和复平面上的一个点一一对应。3、可以将图像问题化归为平面几何问题处理。4、复数系下的图像表示适合用于信息伪装。

Or for short: A prime number is a natural number with exactly two natural divisors. A natural number that is greater than one and is not a prime is called a composite number.

用通俗的话说，就是大偶数=素数+素数*素数或大偶数=素数+素数（注：组成大偶数的素数不可能是偶素数，只能是奇素数。

The correlation analysis between 30 morphological characters with significant difference and climatic factor, longitude and latitude can be summarized as:(1) the longitude, precipitation and air humidity have the same effects on the variability of G. uralensis;(2) the index number affected by light is the most, and the water is the most important factor affecting population variability of G. uralensis.(3) the variability shows that the height of plant, the number of small leaves of the compound leaf, the number of flower buds and the length of inflorescence increase with the increasing of climatic humidity, however, the number of lateral branch decreases.

对30项具有显著差异的指标与气候因素和地理经纬度进行的相关分析结果可概括为：（1）地理经度对变异的作用与降水量和大气湿度相一致；（2）光照因素影响到的指标最多，水分因素对变异的作用程度最大；（3）变异的主要表现为，随气候湿润程度增加，植株的高度、复叶小叶片的数量、花序的长度和花蕾数量等均呈增加趋势，而侧枝的分枝数量和长度呈减小趋势。

The instability originated in the upper R_B-like convection zone develops to larger region with the increase of Grashof number, and the number of non-axi-symmetric circulations decreases. When Grashof number exceeds another critical value, cooling air may invade the cavity and flow toward the shroud, the circulations decrease to one pair occupying the whole cavity in radial, thus these two zones are merged into one. The core structures in the cavity rotate against the disks, while the structures keep no change at the case of periodic oscillatory flow. With the Grashof number rises, the flow undergoes stable, periodic, periodic with cool air invading, quasi-periodic and ultimately to chaos.

离心浮升力是造成非等温轴向通流旋转盘腔内流动不稳定的主要因素，而哥氏力的存在加剧了流动不稳定性，导致流场失稳提前发生，而且在哥氏力的作用下流线发生偏转，盘腔内r-θ面出现了旋向相反的对涡，流动结构更加复杂化；随离心浮升力的继续增加，r-θ面的对涡减少，当其超过某一临界值后部分冷流体侵入盘腔，对涡减少至一对，而且沿径向充满整个盘腔；此后随离心浮升力的增加对涡的数量不再变化；r-θ面的对涡相对于盘面周向移动，但是形状基本保持不变。

Mechanical-type steam traps Seat number: Mechanical-type trap according to different working pressure section of the valve seat aperture is divided into a variety of specifications of "seat number", each segment of work pressure and the "seat number" composed of a coordinate displacement curve, different "seat number "The sparse amount of water are very different.

机械型疏水阀的阀座号：机械型疏水阀按不同的工作压差段，分成多种规格阀座孔径的"阀座号"，每个工作压差段与"阀座号"组成一条坐标曲线的排水量，不同"阀座号"的疏水量有很大差别。

Customs number, export date, export port, code of the business entity, record number, trade mode, destination country, approval document number (number of the verification form of collection of foreign exchange), transaction method, freight, insurance premium, incidental expenses, commodity code, commodity name, primary quantity, primary measurement unit, secondary quantity, secondary measurement unit, transacted quantity, as well as measurement unit, total price, and currency.

海关编号、出口日期、出口口岸、经营单位编码、备案号、贸易方式、运抵国、批准文号、成交方式、运费、保费、杂费、商品编号、商品名称、第一数量、第一计量单位、第二数量、第二计量单位、成交数量及计量单位、总价、币制。

The concepts of interval grey number and the rules of four fundamental operations of interval grey number are simply stated, and then the distributive law for multiplication of interval grey number at some conditions is put forward and the distance between two interval grey number is defined.

第三章，简述了区间型灰数的概念及运算规则，给出了关于同性单性区间型灰数分配律定理，定义了区间型灰数的距离，然后利用最优化原理建立了灰关联模式识别公式，从而形成了一种新的灰关联模式识别方法。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。