查询词典 condition of transversality

The chapter 2 is the main part of this paper,we discussed the Donaldsoninvariants of 4—manifolds 〓,combing with the results given inchapter 1 and using the techniques of standard dimension counting,transversality etc.of S.K.Donaldson.

首先在§2.2就〓（3维环面）讨论了4—流形X的SU（2）Donaldson不变量，在适当假设下证明了X的Donaldson不变量的一个消失定理（定理2.2.1），这一结果推广了Donaldson不变量的连通和定理。

Parametric transversality and some applications.

Sard定理，参数横截性及应用。

Based on electro-characteristic and double electric layers models, directional mechanisms of soy protein molecular are analyzed for the first time on DC heating condition. After the main factors which effect soy protein gels transparency and strength being studied on DC heating condition, the different affects on soy protein gels transparency and strength by DC heating and water bath heating are analyzed and compared, and the transparent mechanisms of soy protein gels are further explored. In addition to temperature action as water bath heating, DC heating is added as electric field directional action. As a results, heating rate is increased. Directional range degrees of soy protein molecules are raised. These advantage the increase of soy protein gels transparency and strength. Microstructures of soy protein gels forming on DC heating condition are observed by SEM and the results showed that ordered structure of transparent soy protein gels on DC heating condition is more ordered than that of transparent soy protein gels on water bath heating condition.

首次从大豆蛋白的电特性和双电层模型上分析了直流电加热条件下，大豆蛋白分子定向的机理；通过对直流电加热条件下影响大豆蛋白凝胶透明性和强度主要因素的研究，分析和比较了直流电加热与水浴加热对大豆蛋白凝胶透明性和凝胶强度的不同影响，又进一步探讨了大豆蛋白凝胶透明的机理；直流电加热除了水浴加热中的温度作用以外，又增加了直流电场的定向作用，提高了加热速率，提高了大豆蛋白分子定向排列的程度，有利于蛋白质凝胶透明性和强度的提高；利用SEM对电场下大豆蛋白凝胶微观结构的观察，进一步证明了直流电加热比水浴加热形成的透明大豆蛋白凝胶微观结构具有更高的有序性。

Further simulations show that Liu's condition,Lehoczky's condition,and Bini's condition cannot deal with tasks with the same priority,Katcher's condition does not hold for its necessary assertion;meanwhile the condition provides the necessary and sufficient perspective of off-line schedulability checking.

进一步的仿真和实例分析表明，Liu、Lehoczky、Bini等提出的条件不能判定相同优先级的情况，Katcher条件的必要性不成立，论文提到的条件能够正确判定任务集的可调度性。

The results showed that during the 45 days experimental time the fresh weigh of Myriophyllum spicatum L, Hydrilla verticillata L and Cerato-phyllum demersum L were 0.92 g, 0.27 g, 1.11 g and 0.56 g, 0.41 g, 0.87 g in medium nutritional condition TN 1.86 mgL^(-1; TP0.087 mgL^(-1) and eutrophic condition TN 2.47 mgL^(-1; TP0.16 mgL^(-1), respectively. The largest single plant biomass of Myrio-phyllum spicatum L and Ceratophyllum demersum L in in middle nutritional condition were over 39% and 22% higher than those in eutrophicated condition, but that of Hydrilla verticillata L was less than 51%, which shown that Myriophyllum spicatum L and Ceratophyllum demersum L grow better than Hydrilla verticillata L in middle nutritional condition.

研究结果表明，在45 d的培养过程中，狐尾藻、轮叶黑藻和金鱼藻在中营养TN1.86 mgL^(-1； TP0.087 mgL^(-1)和富营养TN2.47 mgL^(-1； TP0.16 mgL^(-1)水平下的单株最大生物量分别是0.92、0.27、1.11、0.56、0.41和0.87 g，狐尾藻和金鱼藻在中营养水平下单株最大生物量分别较富营养水平下高出39%和22%，而黑藻在中营养水平下单株最大生物量较富营养水平下低了51%，表明狐尾藻和金鱼藻在中营养水平下的生长较黑藻好。

The positive region based on radix sorting is used to get the positive region condition attributes set of decision attributes and the condition attribute set which excludes one of the condition attributes of decision attribute positive region. Then the difference between the two radices of positive regions is calculated to judge whether the condition attribute is a core attribute, thereby all the condition attributes are judged and the required core is quickly acquired.

采用基数排序思想计算正区域，分别得到决策属性正区域的条件属性集和除决策属性正区域的一个条件属性之外的条件属性集，并且计算这2种属性集的基数之差，以判断该条件属性是否是核属性，依次判断所有条件属性，从而快速获得所需要的核。

We have also presented the ω-circulant boundary condition and compared it with the helix boundary condition. Furthermore, we can also get another new boundary condition: the mixed boundary condition.

由此我们提出了ω循环型边界条件并将其与普通循环型及螺旋型边界条件作了分析和比较；进一步地，得到了一种新的边界条件：混合型边界条件。

Our study contained three sub experiments: First, we looked into the music perception neural mode under the u...更多n-attention condition, then pre-attention condition, and attention condition at last. It suggested that:1. Similar to the past studies, ERAN was also acquired when irregular chords was played to both music experts and ordinary persons, with the former swings larger than the latter ones, and the former delitescence earlier than the latter ones.2. N5 was also acquired in the same condition, and it reflected the conformity process of music perception. The swings of experts' N5 were lager than the ordinary ones, and delitescence earlier.

本研究分为三个实验进行：实验一即在非注意实验条件下进行音乐感知能力的研究；实验二即在前注意实验条件下进行音乐感知能力的研究；实验三即在注意实验条件下进行音乐感知能力的研究，研究结果表明：1类似于前人的研究，不规则和弦在音乐专家和普通人中都产生了右前负极性，音乐专家的ERAN比普通人的振幅更大，潜伏期更早。2伴随着ERAN，不规则和弦在音乐专家和普通人中还产生了晚期负极成分(简称N5)，它反应了音乐的整合。

The paper fristly compared the fertile soil with the incinerated sterile soil on the number of micro-algae , soil pH value , soil organic matter soil available phosphorus and soil nitrogen.And then, the author put fertile soil, which included micro-algae, proportionally into sterile samples and cultivated them respectively under illumination condition (micro-algae can live and reproduce)and dark condition(micro-algae will die in some time).The above indices were measured in 0, 30, 60 and 90days respectively, The analyse of the interrelation between the change of micro-algae"s number and the changes of soil pH value, soil organic matter, soil available phosphorus and soil nitrogen indicated:Soil micro-algae which were native to fertile soil conld adapt to the changed circumstance and light acted as a decisive role to the distribution of soil micro-algae.Under dark condition,the micro-algae"s number declined gradually and went to zero in the end,while under illumination condition ,on the 90th day, the micro-algaes number of per gramme was 6-7 times more than that of the beginning.

本文首先对肥沃土壤与经高温焚烧后的贫瘠土壤中的微藻数量、土壤pH值、有机质含量、有效磷含量和全氮量进行比较研究，然后将包含微藻的绿化苗圃地肥土按不同比例接种进入贫瘠土样中，分别在光照条件和黑暗条件下进行培养，在0天、30天、60天和90天分别检测以上指标，比较有光条件和无光条件下，即有藻条件和无藻条件下贫瘠土样所发生的变化，并分别对微藻数量的变化与土壤pH值、有机质含量、有效磷含量和全氮量的变化之间做相关性分析，以评估肥沃土壤中的微藻接种进入贫瘠土壤后的生长情况以及对贫瘠土壤的改良作用。

If ris also irreducible in Z_nand f~n~κ≡fmodn,r(xfor all f∈Z_nthen we call n a Carmichael number of orderκmodulo r.Denote the set of all such numbers by C_κ,r(x.Define C_κ=∪_r(xC_κ,r(x,where rpasses through all monic irreducible polynomials over Z of degreeκ.We call elements of the set C_κCarmichael numbers of orderκ.ZHU and SUN[Journal of Sichuan University,42;1(2005), 47-51]first gave a necessary condition for Carmichael numbers of order 3.Then they gave a sufficient condition for Carmichael numbers of order 3,but did not find any such numbers less than 10~8 satisfying the sufficient condition.At last,they asked three questions;1.is the necessary condition also sufficient?

f∈Z_n，就称n是模r的κ阶Carmichael数，用C_κ，r(x表示所有这种数的集合，定义C_κ=∪_r(xC_κ，r(x，这里r跑遍Z中所有κ次首一不可约多项式，C_κ里面的元素就称为κ阶Carmichael数，C_κ称为κ阶Carmichael数集，朱文余和孙琦[四川大学学报，42；1(2005)，47-51]首先给出了3阶Carmichael数的一个必要条件；然后又给出了这种数的一个充分条件，并发现10~8内没有满足此充分条件的这种数；最后他们提出三个问题；一、问必要条件是否也是充分的？

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。