This paper tries to give a definition of the sum and the product of infinite infinitesimal,and it also tries to give some examples to illustrate the sum and the product of infinite infinitesimal being or not being infinitesimal.
给出了无限个无穷小的和、积的一种定义，并用例子指出无限个无穷小的和、积既可能是无穷小，也可能不是无穷小。
The notion of the subshift of infinite type on noncompact symbolic space was introduced,and the chaotic behave of the subshift was discussed.
引入了非紧致符号空间上的无限子移位的概念，讨论了无限型子移位映射的混沌性质，给出了三个分别与Ｌｉ－Ｙｏｒｋｅ意义下混沌等价的条件。
Plato tried his best to argue that the infinite could be verified by the finite things, but he failed, and so did Kant.
我们认为这个问题源出自柏拉图相论的分离问题,柏拉图试图从有限的感性世界逻辑地上升到无限的理性世界,康德在《判断力批判》里也试图从有限过渡到无限,但他们都以失败告终。
G.W.F.Hegel s thought about quantity and mathematical infinity;
黑格尔关于量与数学的无限性思想
This article analyzed the basis of limit establishment-the thought in infinity and limit,discussed several deep stage problems in the limit definition,to deepen the understanding in limit concept and to comprehend the essence of limit correctly.
分析了极限建立的基础——无限的引入和极限的思想,讨论了极限定义中的一些深层次问题,以期加深对极限概念的理解,正确认识其本质。
Epistemologically,infinity would produce paradox.
芝诺悖论与无限概念密切相关。
Intimacy and Infinitude——Rereading Liang Zongdai s Symbolism from the ecological perspective;
在无间中无限——于生态视野中重读梁宗岱先生的《象征主义》
The conception of infinitude includes two parts:the latent infinitude and the concrete infinitude.
“无限”概念既包含“潜无限” ,又包含“实无限” ,辩证的观点认为 ,极限的过程是“潜无限” ,极限的结果是“实无限” 。
By meditating the finitude of individual life and infinitude of time and space and analyzing the continuity and dis-continuousness of space and t.
这种自觉是整体一统且以人为本的,通过有限的生命个体和所处之时代对无限时空的反思,以及对时空间断性和连续性的分析,形成自己的时空观,完成有限对无限的超越。
Based on solution to vertical crack model of infinite flow present by Gringartens and by classifying micro-sections for produced cracks and integrating with vertical crack model of uniform flow rate, half analytic solution to unstable flow pressure at bore bottom for 200 numbers of micro-sections of cracks is derived.
在Gringarten等人提出无限导流垂直裂缝模型解的基础上,通过对产生的裂缝进行微元段划分,结合均匀流率垂直裂缝模型,得出了裂缝微元段数为200时的井底不稳定流动压力的半解析解,根据杜哈美原理和二项式计算产能的方法,结合气井生产,提出拟合井底压力的方法,得到一种专门针对无限导流垂直裂缝模型的多产量测试产能预测模型。
Effects of different tempering processes on surface microstructure of indefinite chill cast-iron roller were studied.
研究了回火工艺对无限冷硬轧辊表层基体组织的影响。