最大值的

We find serval conditions that are equivalent to 2-tournament matrices being singular,give the bound for the maximum algebraic multiplicity of 0 as an eigenvaulle of n order2-tournament,obtion the spectral radius of a singular 2-tournament matrix of order nis bounded above by n-2,and investigate 2-tournament matrix achieving this bound.

第五章讨论了2-竞赛矩阵的奇异性和特征值之间的关系，得到了2-竞赛矩阵奇异的充要条件，给出了2-竞赛矩阵的零化向量的刻划，得到了得分向量，3-圈数目与奇异性的关系；给出了2-竞赛矩阵的特征值0的代数重数的上下界，得到了奇异的2-竞赛矩阵谱根的最大值及谱根达到最大值的竞赛矩阵的得分向量的特征。

Based on the item of national high technology development project, the thesis studies the reasonable construction pattern of the tunnel portal, incidence of the micro-pressure wave and the the effect of bell-mouthed hood, lacunaris hood and expansile hood on alleviating the micro-pressure wave in the situations of single line and double line, obtains the relationship between the max micro-pressure wave and the velocity of the train as well as the relationship between the max micro-pressure wave and distance of measuring point at the velocity of 100km/h-550km/h, compares the different alleviative effect of the three different hood to max micro-pressure wave and finally proposes the reasonable construction pattern of the tunnel portal.

本文针对国家高技术研究发展计划(863计划)课题"磁浮交通沪杭线越黄浦江隧道的工程技术问题研究"，在单洞单线和单洞双线两种工况下，对隧道洞口的合理结构形式和影响范围，以及洞口喇叭形入口缓冲段、多孔壁入口缓冲段以及隧道出口膨胀室对减缓微压波的作用进行了研究，得到了磁浮列车速度在100km/h～550km/h时隧道出口微压波最大值与速度的关系以及微压波最大值与测点距离的关系，比较了三种不同形式缓冲结构对微压波最大值的减缓效果，提出了隧道洞口的合理结构形式。

In this paper, the Lagrange interpolation formula asked a class function expression question, the determination function to the higher mathematics in the elementary mathematics in some value scope question, the equality proof question, the multinomial factorisation question, to ask to have the Finite series to pass the formula question, the certificate any n function at will n+1 different spots function value maximum value minimal problem and so on six aspects should serve as the simple introduction, and has separately made the comparison with these six aspects elementary mathematics method, thus solved some operation problems in elementary mathematics.

摘要本文对高等数学中Lagrange插值公式在初等数学中的求一类函数表达式问题、确定函数在某点的取值范围问题、恒等式的证明问题、多项式的因式分解问题、求有穷数列的通项公式问题、证明任一n次函数的随意的n+1个两两不同点的函数值的最大值的最小值问题等六个方面的应用作了简单介绍，并与这六个方面的初等数学方法分别作了比较，从而解决一些初等数学中的运算问题。

This paper leads into the multinomial distribution concept and discusses the content in the following four aspects in details: First, defining the random vector is NA's, drawing out the nature of NA's for the multinomial distribution and proving the multinomial distribution is NA's; Then, introducing the way to own maximum values by three distributions, giving the method to gain the maximum value from general multinomial distribution, which is named the method of elimination.

本文引入了多项分布概念，同时详细讨论了以下四个方面的内容：1。定义了随机向量是NA的，并由此引出多项分布的NA性，并且证明了多项分布是NA的；2。介绍了三项分布最大值的求法，在此基础上给出了一般多项分布最大值的求法，即淘汰法。

On the classical theory, according to which D = for all values of N, the volume of employment is in neutral equilibrium for all -values of N less than its maximum value; so that the forces of competition between entrepreneurs may be expected to push it to this maximum value.

7按照古典理论，依据 D =Ф适用于 N 所有的取值这一规则，在 N 取小于其最大值的所有数值时，就业量处于中型均衡状态。因而能够预见企业家们相互竞争的力量可以使 N 达到最大值。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

Research makes clear as a result: TC measure has apparent seasonal change feature, average scale is in the biggest April, achieve 230.4km, the smallest Feburary, for 69.5km;TC measure apparent area distributings inhomogenous sex, the area of TC measure occurrence maximum is located in 28.6 ～ 29.5 ° N, 133 ° of 131.1 ～ on the offing of E, and it is to the south of 123 ° E with 12 ° N with south area, TC measure often is under 200km; the TC to different intensity, its measure and intensity luffing have apparent difference, tropical storm (the 24h measure luffing of TS) is the biggest, and typhoon (the dependency of measure of the biggest;TC and intensity is in the 24h intensity luffing of TY) is discrepant below different method, on northwest travel, westing, north model TC measure and intensity show remarkable positive to close, both correlation coefficient achieved 0.93 above, northeast travel and whirly model the correlation coefficient of TC measure and intensity is adjacent 0.6, change direction model the correlation coefficient of TC is in 0.85 or so; in addition, the dependency of TC measure and intensity in its the different level of life history also is put in notable difference, sending exhibition period, the dependency of measure and intensity is best, its correlation coefficient...

探究结果表明：TC尺度有明显的季节变化特征，平均尺度在4月份最大，达到230.4km，2月份最小，为69.5km；TC尺度有明显的区域分布不均匀性，TC尺度出现最大值的区域位于28.6～29.5°N，131.1～133.0°E的海面上，而在123°E以东和12°N以南地区，TC尺度往往都在200km以下；对于不同强度的TC，其尺度和强度变幅有明显差异，热带风暴的24h尺度变幅最大，而台风的24h强度变幅最大；TC尺度和强度的相关性在不同路径下是有差异的，西北行、西行、北上型的TC尺度和强度呈显著的正相关，两者的相关系数达到了0.93以上，东北行和回旋型的TC尺度和强度的相关系数接近0.6，转向型TC的相关系数在0.85左右；此外，TC尺度和强度的相关性在其生命史的不同阶段也存在显著差异，在发展期，尺度和强度的相关性最好，其相关系数。。。

The optimum initial substrate concentration for cultivation of inoculum was 8%.The optimum conditions for batch fermentation were 0.04vvm of air flow,5.8 of pH value.The fed-batch fermentation showed that the productivity of Klebsiella pneumoniae CICC 10011 was better than K.pneumoniae CGMCC 1206.The maximum concentration of 2,3-butanediol and acetoin was 103.38 g/L (90.98 g/L of 2,3-butanediol),and the yield reached 82.2%of its theoretical value.The fermentation conditions for K.pneumoniae.

确定种子培养的最适初始底物浓度为8%；间歇发酵的条件为：微氧发酵，通气量为0.04vvm，pH值为5.8；通过批式流加发酵实验表明：Klebsiella pneumoniae CICC 10011的代谢产2，3-丁二醇能力要远高于K.pneumoniaeCGMCC 1206，2，3-丁二醇最高浓度达90.98g/L，2，3-丁二醇与乙偶姻浓度之和最高达103.38g/L，转化率为理论最大值的82.2%，其发酵工艺还有待于进一步优化。

The activitys of Super Oxide Dismutase, peroxidase and Multiple Displacement Amplification of Ceratophyllum demersum L raised rapidly in the late of experiment, and the maximum value of MDA of Ceratophyllum demersum L in the eutrophic condition was 5 time higher than that in the medium nutritional condition, implied that Ceratophyllum demersum L has been stressed in the middle nutritional condition.

金鱼藻超氧歧化酶活性、过氧化物酶活性和丙二醛含量在试验后期上升速度加快，且富营养水平下金鱼藻MDA质量分数的最大值是中营养水平下最大值的5倍，表明在中营养水平下金鱼藻已经受到明显胁迫，而在富营养水平下受到胁迫更为显著。

The results indicated Paecilomyces farinosus was aerobic fungus and rotate speed of rocking bed exceeded 150r/min would benefit the mycelium growth.Initial inoculum could affect the time of reaching maximal mycelial bioass and could not affect the maximal mycelial bioass.inoculum exceeding 5% would benefit t...

结果表明粉拟青霉是一种好气性真菌，摇床转速大于150r/min有利于该菌生长；接种量对菌丝最大产量影响不大，但是能够影响菌丝量达到最大值的时间；接种量大于5%，有利于菌丝产量迅速达到最大值；粉拟青霉菌在pH值为3～10的培养基中都能够生长，生长过程中能够分泌代谢产物主动调节pH值，该菌在pH为5～7的微酸环境中生长最快；液体发酵过程中粉拟青霉生长量与发酵时间的关系符合逻辑斯蒂生长模型。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。