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Self-adjoint Sturm-Liouville problems, separated and coupled boundary conditions, inequalities among eigenvalues, equalities.

| 自伴Sturm-Liouville问题;分离与偶合边界条件;特征值间的不等式

The new ideas from this paper: using mechanics principle study of soil, create a practical test to prove that it could change the physical mechanics character of base soil completely, reducing distortion, improving strength, and eliminating wet or sinking of base soil by seal extrusion during hole formation process at certain replacement rate; it could strengthen the loessial soil base to high bearing capacity to standard value of 300 to 400kPa through seal extrusion to hole formation technology together with rammed cement soil pile. Some value of the parameters adopted by bearing capacity calculation of the composite base of rammed cement soil pile with seal extrusion to hole formation exceeded the criteria of 'Technical Regulation on Building Ground Treatment'.(JGJ79-2002) This technology meet the design requirements and save investment.

本课题的创新点:1 利用土力学原理进行研究及理论推导,并经实践:证明了在置换率为某一定值的情况下,在成孔过程中通过挤密作用可以从根本上改变地基土的物理力学性质,使地基土的变形减小,强度提高,湿陷性消除;2 挤密成孔工艺与夯实水泥土桩的组合,可使低强度的湿陷性黄土地基变成高强度的复合地基,其承载力特征值可达 300~400kPa;3 挤密成孔法夯实水泥土桩复合地基承载力计算所采用的有关参数取值范围超出了《建筑地基处理技术规范》JGJ79-2002 中的有关规定;4 在节省投资的前提下,解决了地基高承载力、低变形及黄土湿陷性问题,达到了设计要求。

The quality values including melting point, iodine value (36.46g/100g, saponification value (197.10mg/g), etc were almost the same as that of CB iodine value (37.05g/100g), saponification value (195.30mg/g).

乌桕类可可脂的特征值(碘价36.46g/100g,皂化价197.10mg/g等)均与天然可可脂(碘价37.05g/100g,皂化价195.30mg/g)的相似。

The high order linear space state model has 25 state variables, including six degrees of freedom of rigid fuselage, flap motion of main and tail rotor, non uniform dynamic inflow at rotor plane.

以某型直升机为例,对线性模型与非线性模型的时域动态响应,及 2 5状态高阶线性模型和传统 6自由度 9状态模型的特征值进行了比较,验证了建模方法的可靠性和精度

Filter wrinkle s deteriorate cigarette appearance, therefore the distribution of filter rods' circumferences was analyzed in detail.

为进一步提高卷烟的外观质量,针对烟支滤嘴皱纹影响卷烟产品外观质量问题,根据正态分布原理对滤棒的质量特征值进行了分析和细化评价。

At the basis of them, In this paper, by calculating adjacency characteristic polynomial, the number of closedcircuit, using the property that bipartite graphs with same Laplacian spectrum must be Line-cospectral and the property of graphs with the same eigenvalues and angles to study some non-regular graphs with special structure.

在前人的基础上,本文通过计算图的邻接特征多项式,闭路数目,利用二部图同Laplacian谱必Line-同谱的性质,以及有相同特征值和角的图的一些特点来研究一些特殊结构的非正则图的谱确定问题,得到了如下一些结论:(1)两个不同构的C_(n_1,(n_2),(n_3),(n_4)图没有相同的邻接谱。

The effects of the cultivations on RVA values varied with wheat cultivars.

超高产栽培对淀粉黏滞谱特征值的影响因小麦品种而异。

Concerned in this paper are the eigenvalues and the corresponding eigenfunctions for the crosswise vibration equation of a bean with continuous load, which can be related to a differential integral equation.

本文研究了附加连续荷载梁的横向振动方程的特征值及特征函数的性质。在一定的假设之下,附加连续荷载梁的横向振动方程对应一个微分积分方程。

There is another type of orthogonality of eigenfunctions of the Sturm-Liouville problem as follows:∫badx+hymyn+Hymyn=0.

斯图姆—刘维尔型特征值问题中特征函数存在另外一类正交关系,就是:ba∫dx+hymyn+Hymyn=0,称此正交关系为第二类正交关系。

During a measurement, the probability that a system collapses from a given initial state to a particular eigenstate is given by the square of the absolute value of the probability amplitudes between the initial and final states.

在测量期间,从一给出起始态到特定特征值的一系统坍塌的概率被初值与终值间的概率振幅的绝对值平方来赋值。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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