倍周期半随机序列的猜想与性质

Definition and Properties of Multiple Periodic Semi-Random Series

通过结合数学、概率论数理统计的相关知识内容,本文创造了一种新的序列,该序列中的一部分项是随机的且出现的概率服从相同或不同的分布,这部分项亦存在周期性,不同于传统的周期性,而是项数存在倍乘关系的项之间相等.同时,在项数存在倍乘关系的项中,只要知道了首项和周期便可以得到其余项.所以,首项虽然具备随机性,其余的与之存在项数倍乘关系的项却不是随机的,故而整个序列中随机项与非随机项并存,故称该序列为"倍周期半随机序列".本文简单介绍了倍周期半随机序列的定义及相关性质,并用R语言绘制了相应的图例.

With the combination of knowledge for mathematics and mathematical statistics, a new series have been created, some items, with random emergence which obey the same or different distribution, are also in periodic, differ in traditional periodic, but in Multiplier relationship between serial numbers are equal. At the same time, within items between serial numbers, is able to get others through the first item and period, therefore, though the first items have periodic,there are nonrandom items in Multiplier relationship between serial numbers,in this case, random items and nonrandom items are coexist in the series named ＇ Multiple Periodic Semi-random Series＇. This paper give an outline of the definition and properties of Multiple Periodic Semi-random Series, also making use of R language to draw an example.