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实无穷

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With the idea and the technique of the newly constructed basitheoryology ~ [1] , this article discusses two different concepts of infinite set existing in present set theory: potential infinity and actual infinity.

从新构建的基础理论学的角度,以全新的基础理论学的方法[1],讨论同时存在于现有集合论中两种性质上截然不同的"无穷集合"概念:潜无穷式的与实无穷式的无穷集合。

According to Liouville's theorem , any bounded complex analytic function defined on the whole complex plane is constant.

如上所述,实或复解析函数均在实变量的意义上无穷可微。

At last, the isochronous center of infinity of a class of quintic systems is studied and all conditions of center and isochronous center are obtained for infinity of this system, which is the first time for the research on the isochronous center of infinity.

最后,研究了一类实平面五次系统的无穷远点的等时中心,给出了系统无穷远点为中心和等时中心的全部条件。这是迄今对无穷远点等时中心进行的首次研究。

Aristotle distinguished between the potential infinite and the actual infinite, and concluded there is in general no actual infinite object because the infinite is the unfinished, the indefinite, the unrealizable, which cannot be completed and actualized.

亚里士多德把潜无穷和实无穷区别开来,得出结论:一般不存在实无穷的对象,无穷是没有结束的、非确定的、没有实现的,并且是不能完善和实在化的东西。

As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.

与前面两个问题的理由一样,同样,由于问题中双质复合材料的内部直边界上的边界条件不易解析满足,为此,本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分,而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题,根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解,利用该问题中夹杂和圆孔处的位移和应力的连续条件,并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组,在满足一定计算精度的前提下,通过有限项截断进行近似求解,进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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