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三周期函数 [sān zhōu qī hán shù]
triply periodic function
- 全文分为三部份：第一部份是关于最小正周期的一般理论，得到了周期函数有最小正周期的充分必要条件，也获得了“至少在一个点连续且不恒等于常数的周期函数必有最小正周期”的结论；第二部份分析了两个周期函数之和的最小正周期的问题，给出了其一般表达式；第三部份讨论了周期函数与某些类型的非周期函数构成的复合函数的非周期性问题，并得出相应结论。
The whole paper consists of three parts: part Ⅰ is about general theory of the least positive period, which argues the necessary and sufficient condition for the existence of the least positive period for a periodic function, and concludes "the existence of the least positive period for that periodic function, which is continuous at least one point and not equal ever to a constant"; Part Ⅱ researches the least positive period for the sum of two periodic functions, followed its general expression; part Ⅲ discusses non-periodicity for the compound function constructed by a periodic function and a non-periodic function, and the corresponding results. - 在对丹东城镇居民消费行为分析的基础上,建立1978年以后丹东市城镇居民的三种消费函数假说并进行实证分析,结果表明杜森贝里等人相对收入假说,弗里德曼的持久收入假说和莫迪里安尼等人的生命周期假说对丹东城镇居民的适用性逐渐增加,尤其持久收入假说拟合得更好。
Based on analysis of the consumption activities of urban residents in Dandong City,three hypotheses of consumption function of the residents after 1978 were set up and analyzed.The results show that the hypotheses of relative income,permanent income and lifecycle has been increasingly applicable to the urban residents in Dandong City,and the permanent income hypothesis has the best fitting.
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