标准近似实数及其应用  

Standard Approximate Real Number and its Application

作　　者：郝勤道[1] 

机构地区：[1]焦作工学院基础部

出　　处：《焦作工学院学报》1998年第3期235-237,共3页Journal of Jiaozuo Institute of Technology(Natural Science)

摘　　要：符号“０＋”是一个标准近似实数．数列｛１２ｎ｝的可达标准近似极限为０＋．符号“０＋”能反映这个数列的“万世不竭”的状况．设函数ｆ（ｘ）在ｘ０的左右侧标准近似导数存在，则ｆ（ｘ）在ｘ０取得极大（小）值的充要条件是：左标准近似导数ｆ′（ｘ－０）＞０（＜０）；右标准近似导数ｆ′（ｘ＋０）＜０（＞０）．The sign “0+” is a standard approximate real number.The “standard approximate limit reached” of the number sequence 12n is 0+.The sign “0+” can express the condition of the number sequence “could not be ended forever”.The suppose function f(x) has left and right standard approximate derivative at x0,then necessary and sufficient condition of function f(x) posses maximum(minimum) is:the left standard approximate devivative f′(x-0)>0(<0),and the right standard approximate derivative f(x+0)<0(>0).

关 键 词：标准近似实数 标准近似导数 极值 应用 

分 类 号：O174[理学—数学]