查询词典 generalized continuum hypothesis

In the third chapter,we prove two general symmetric identities involving the generalized degenerate Bernoulli polynomials and sums of generalized falling factorials by applying their generating functions,these results extend some known identities,and give an relationship of the generalized degenerate Bernoulli polynomials.

第三章，利用广义退化的Bernoulli多项式以及广义阶乘求和的生成函数，证明了两个对称恒等式，推广了一些已知的结论，并得到广义退化的Bernoulli多项式的一个闭形式。

The hypothesis of a continuum of findings between exencephaly and anencephaly is supported by the obseration of residual brain tissue in about one third of cases of anencephaly(52) see Fig.

约1/3的无脑畸形病例中有残留的脑组织，这个观察资料支持露脑畸形和无脑畸形之间是连续病变表现的假设（见图10-37A-B，图 10-37C和10-38）。

Definition, Characteristics and Continuum Hypothesis ...

第一节 流体的定义、特征及连续介质假设。

The faults in Hibert's proof for the Continuum Hypothesis reflect the historic limitation, but suggests a possible solution.

希尔伯特的证明失误反映了历史的局限性，同时蕴含了有用的证明思想；3。

Traffic flow. Continuum hypothesis.

交通流量。连续统假说。

Since continuum hypothesis is still valid for liquid flow in microchannels with hydraulic diameter at about 100 micro-meters, a turbulence convection heat transfer model for single-phase liquid flow in microchannels is established, in which wall surface roughness viscosity is introduced.

分析表明水力直径为100μm左右的微管道内单相液体流动仍满足连续介质假设，引入粗糙度粘性系数，建立了微管道内单相液体湍流对流换热模型，并采用3维有限容积法进行了数值计算，将计算结果与实验结果进行了对比。

According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体，将三次样条函数与抛物线函数结合假定框筒的位移函数，运用能量变分原理推导出了关于位移函数待定系数的方程组，解得位移函数待定系数进而解得框筒的位移，再根据弹性力学原理确定原框筒中梁柱的内力。

In the homogeneous model, the function of tendons is assumed to be uniform in some approximated way in order to form an equivalent homogeneous material within concrete. The formulation of the homogeneous model is same with that of general FEM for common continuum, let alone the elastic matrix being resultant of that of tendon and concrete. The computation is simple, but the approximate assumption makes this method cannot be generalized, because it only represents the constitution and function of tendons in such a rough way, that the numerical results are inaccurate. In the combined model, the function of tendon is considered by the stiffness matrix with rod element, then add it into the stiffness matrix of concrete by a rational way.

均匀类单元是设想将钢筋均匀弥散于整个单元中，使其成为一种连续均匀材料单元，这种单元的与一般有限元的单元刚度矩阵推导过程一样，只不过其弹性矩阵由混凝土和钢筋两部迭加而成的，此类单元刚阵计算简明而又不会扩大计算规模，但均匀弥散只是为计算简单而作一种假想，不贴近单元构造实际，也不符合实际作用效果。

Moreover, the interatomic potential and the atomic structure of CNT are incorporated into the proposed constitutive model in a consistent way. Therefore SWCNT can be viewed as a macroscopic generalized continuum with microstructure.

由此得到的本构参数不仅与变形梯度张量F，而且与其梯度▽F相关，同时也包含了碳纳米管的微结构信息，因此是一种考虑微结构效应的广义连续介质模型。

Thirdly, based on the continuum model, the natural modes of undamped complex framed structures are proved to be orthogonal with each other in a generalized sense. This leads to an alternative method for transient response analysis of undamped framed structures via the expansion of normal modes.

再次，基于MRRM列式，从连续模型的角度证明无阻尼复杂框架结构的固有模态具有正交性，并以此为基础构造模态叠加法来求解无阻尼复杂框架结构的瞬态响应。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。