查询词典 generalized continuum hypothesis

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

Western attitudes toward economic planning can be found along a continuum. The two poles of that continuum are 1 libertarianism and 2 micromanagement.

西方对经济计划的态度是各种各样的，两种极端的观点是：1自由主义否认任何计划，2微观管理主张具体到细节的计划。

On the basis of wavelength distribution of the continuum emission,we suggested that atom Al resonantly absorbing continuum radiation was absorbs energy by atom solid,which consists o...

我们认为：Al原子吸收能量的主要机制是原子实吸收连续辐射光子，原子实吸收光子的方式是与价电子构成极性振子对连续辐射共振吸收。

Tow canopy models are developed according to uniform partial cover and non-uniform partial cover: continuum canopy model and non-continuum canopy model.

根据植被均匀非完全覆盖和非均匀非完全覆盖情况建立了相应的两种冠层模式：连续冠层模式和非连续冠层模式。

The total radiative loss include the sum of every possible transition between two levels under the atomical models of hydrogen (4 level + 1 continuum), ionized calcium (5 level + 1 continuum), and magnesium (3 level) beside the contributions from nagtive hydrogen of f-f and f-b tranditions.

并将辐射损失速率与非热电子束轰击和软x线作用下的产能率作了比较，结果表明：耀斑不同时刻的色球辐射损失变化可达一个量级以上；耀斑脉冲相前后电子束加热相当有效；耀斑强度极大时，电子束轰击和软x线加热都有作用；耀斑主相时，软x线加热更能有效地平衡辐射损失。

According to the distribution of time resolved relative intensity of continuum emission of the plasma induced by laser ablating Al in Ar,we have briefly discussed the mechanism of the continuum radiation of the plasma induced by laser ablating Aluminum.

根据连续辐射强度的时间分布，简要讨论了激光诱导等离子体连续辐射的产生机理。根据连续辐射强度的波长分布，提出了原子对激光诱导等离子体连续辐射共振吸收理论。

Through the Laplace and Z transformations, it represents the varying features of electromechanical disturbance in a uniform chain network using the family of Bessel functions; the growing or attenuating laws are the same as that of electromechanical wave in a continuum model along the corresponding transmission media. Furthermore, the time of electromechanical disturbance arriving at any bus in the discrete model is also the same as that of electromechanical wave arriving at the corresponding bus in the continuum model.

通过Laplace和Z联合变换，用Bessel函数表示出机电扰动在均匀离散系统中的变化特征，得出扰动的增衰规律与连续体模型中机电波的增衰规律完全相同，而且离散系统中扰动传播到每一条母线所需要的时间与连续体模型中机电波传播到相应母线所需时间也完全相等。

A quasi one-dimensional, time dependent system model based on the parallel compressor theory was used to compute the effect of inlet distortion on turbine engine stability; Through Modifying steady state continuum equation, momentum equation and energy equation, the effect of power extraction and additional bleed on turbine engine running line was computed. Unsteady state continuum equation, momentum equation and energy equation were solved for computing the effect of acceleration on turbine engine running line.

其中，进气畸变对发动机气动稳定性影响的计算采用平行压气机模型，基于李亚普诺夫理论的方法完成；附加引气、功率提取对发动机气动稳定性的影响采用通过对发动机转子间质量、动量、能量守恒方程进行修正的方法进行；加速过程对发动机气动稳定性的影响采用欧拉方法求解动态的质量、动量、能量守恒方程的方法完成；最后采用&层迭&的方法进行各种降稳因素的综合评估。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

The hypothesis of generalized homo economicus is proposed, and generalized utility function is built on it.

提出了广义经济人假说，并在此基础上建立起广义效用函数。

I go to school at night.

我是上上学。

Clear Tip Nasal Aspirator: A soft time and gentle suction action makes removing excess mucus easy.

鼻吸明确提示：一个柔软的时间和温柔吸力行动使消除过剩的粘液容易。