漂洗衣物中的数学原理

Mathematic Principle in Washing Clothes

从数学角度入手,探讨了洗衣机的漂洗效果、漂洗次数、用水量以及洗衣费用之间的关系。得出机洗费用仅是漂洗次数的函数,且存在一个最佳次数的结论。精确描述了机洗最佳的注水方法,给出了当用水量一定而漂洗次数增加时,漂洗效果所存在的极限表达式,以及当漂洗效果一定而漂洗次数增加时,用水量的减少所存在的极限表达式。最后结合机洗实例,对应采用最佳的漂洗次数,进行了一般性的总结。

From the view of mathematics, the relation among wash effect, the number of times in washing.water quantity and wash cost are discussed. The wash cost is only a function of the number of times, in which there is the best value. An optimum method of watering for washing machine is exactly described. When the water quantity is not variable and the number of times is increased, a formula of limit to wash effect is specifically elaborated. When wash effect is not variable and the number of times is increased, a formula of limit to reduction of the water quantity is specifically elaborated too. Finally, approximate conclusion on the optimum number of times in washing is mentioned.