二奇合一偶,一偶分二奇
二奇合一偶,一偶分二奇
自然数线双生得奇偶数线得奇偶数值都相对得有一种分与合的关系,这便是最简单、巧小的二奇合一偶,一偶分二奇的固定形式,是绝对的奇偶关系,不是奇奇偶偶的关系。皆是奇对应偶,偶对应奇。比如:5与7之和为12,即两个奇数相合,是奇数线上的两个奇数变为偶数线上的一个偶数值,但是一个偶数可以止动两个奇数,如12可以分为1与11、3与9、5与7之和所以一偶可以止动许多奇数的变化。
一偶分二奇的形式和组数,如偶数18,它可以分为1与17、3与15、7与11、9与9之和。一个偶数由两个奇数之和组成,称为组合;一个偶数能有多少两个奇数组合呢?两个奇数只能组成一个偶数,但一个偶数可以由两奇数多组组合,奇数数线值的变化是组成偶数的重要数变。比如,24-3=21;24-5=19;24-7=17;24-9=15;24-11=13;24-13=11;24-15=9;24-17=7;24-19=5;24-21=3;24-23=1。这样24有12个两奇数之和的组合组数,其中有一半是重复的组数,所以24只能有6个两个奇数之和的组数。
设偶数为W,从上面的数组可以看出组成24偶数是两条相同的奇数数线组成,一条是正向线,一条是反 向线,平行重叠。设偶数为 w ,这样w-1与1便成为正反奇数线的首(尾)数值,一条正向线1、3、5、7、9…..(w-1).(w-3).(w-5).(w-7).(w- 9)…..7.5.3.1。两奇组成偶数时,均由正向奇数线值和反向奇数线值对应组合,偶数有本值的一半的奇数组合组数,但由于重复奇数组合组数,所以只有本值的一半了。偶数最终的两奇组合组数为偶数值除以2(逢奇数加1)所得数值再除以2,为w/4。如偶数24的两奇数的组合组数为24/4=6,即24 有6组两奇数之和。再如,46,46/2=23,23是奇数要加1,为24再除以2为12,这样46有12组两
奇数之和的组数。
将组成偶数的奇数线正向线为顶数线,其数线上的数值为顶数值,即顶数;而反向线为底数线,其数线的数值为底数值,即底数。
偶数线上任何偶数都具有等于它的两奇数值之和固有的组数,但对奇数线的两种数类跃数(合数)和惰数(质数)而言,偶数的两奇数之和有三种形式,一是两个跃数(合数)之和,二是跃数(合数)惰数(质数)之和,三是两惰数(质数)之和。
偶数线上的任意偶数值为奇数线的两条奇数线之和,当然偶数的横加值也等于两奇数横加值之和。
任意偶数皆为奇顶数和奇底数之和,一个小值奇数和一个大值奇数之和(包括两个中值奇数之和),可以说小顶数与大底数之和。根据这一道理,制定一表来剖析偶数之关系,此表为《偶数合二奇下斜表》,此表格内纵向是将以2为首书偶数数线2―――n数值数差为2,列入此表中,2、4、6、8、10、12、14、 16、18、24、26、28….n,偶数值对应的是两奇之和的两奇数线,即顶数各值组数所组合两奇数合组数。而表中的横向是奇数数线对应着两奇数组,在偶数数线之旁并列一条奇数数线1、3、5、7、9…….n,和纵横两向皆并列自然数线1、2、3、4、5、6、7………..。在偶数对应两奇之和的顶、底各奇数中含有着跃数(合数)和惰数(质数),根据顶底来区分奇线跃数和惰数的位置,可称为跃顶数和跃底数、惰顶数和惰底数。
此表的上端横向的奇数数线中也含有跃数和惰数,表中的纵横方向皆有着自然数线对应奇数线和偶数线,以及奇偶数线值数的横加值和尾数值。由于2、4、6、 8………n的偶数对应的两奇之和的格式和组数值,这样以奇数为底的降数线和以奇数为顶的升数线互相重叠对应着每个偶数。由于偶数数线值2、4、6、8、 10…..n递升,偶数值对应的二奇之和的组数也不断地递增。也使得二奇组数中每一奇值的位置在表中定段斜向延长,方向下指,形成同底数不同顶数的二奇组合斜线。其二奇组合数值与奇数所对应的自然数位值数相同,当然每位奇数都可以形成这样一条相对偶数斜线下指,由于奇数线含有跃数和惰数,所以所形成的斜线,二奇组数线为跃数数线和惰数数线。
每条二奇组数线所对应的偶数的位数,是该底数奇数值加1除2,如果奇数值为v,那么它的对应的偶数位数为(v+1)/2,可由奇数值的位置下数(v+1) /2位偶数。二奇组线的两种形成:一条是跃数下斜线,一条是惰数下斜线,它们的位置即是奇数线上的位置。跃数下斜线是跃数为底数,以数值1、3、5、7、 9……为顶数;惰数下斜是以惰数为底数,以奇数值1、3、5、7、9….为顶数。奇数数线包含着跃数和惰数。如果在跃数下斜线上所对应的偶数意味着有跃数组合组数,因是跃数为底数,而顶数是奇数含有跃数和惰数,所以在跃数的下斜线上的二奇组合,便产生两跃数组合,跃数组合的相对偶数,这皆是决定顶数的性质。如果惰数下斜线所对应的偶数组合为惰数组合,因是以惰数为底数,便产生两惰数组合和惰跃数组合的相对偶数,这决定顶数的性质:惰数和跃数。
根据《偶数合二奇下斜线表》的示意,不论是奇跃数和奇惰数,每一个连线都对应着他的(v+1)/2的所对应的偶数组数。但纵向的奇数线数值,不论是跃数和惰数,都是按自身位置数位走向一条斜线所有的斜线都是平行的,至于它的长短是奇数值的大小和所对应的偶数多少而定的,所以任何偶数值都具有二奇和的组数之奇数线通过,即每一偶数的二奇和组数都有奇数下斜线通过,包含着跃数下斜线和惰数下斜线。任何偶数值所对应的二奇和组数,有以跃数为底数组,同时也有以惰数为底数组,而它们的顶数是一条奇数线,包含跃数(合数)、惰数(质数),是横向的奇数线,它的每一个数值都可以与任意跃数和惰数为底的数值组成二奇之和的对应之偶数,将横向奇数值及连线与其跃惰为底,跃、惰下斜线相交时,如果是跃数下斜线同横向奇数线的跃数相交便是两跃组合偶数,与惰数直线相交便是惰跃组合偶数。如果惰数下斜线同横向奇数线的惰数直线相交便是两惰组合之偶数,与跃数直线相交便是跃惰组合的偶数。在任意偶数对应的两奇和组数中都有这三种形成组合存在,通过《下斜线表》可以得出每一偶数二奇组合个数来,同时也说明任何偶数,不但存在两跃组合,惰跃组合,也存在着两惰组合之三种二奇之和形式,尤其是两惰之组合存在任意偶数之中。并且可以计算出任意偶数为二奇之和的全部三种形式组合之数组。
(版权归宋世鹏所有,转载请注明出处)
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