每个带有2个、3个或4个电阻器的网络由串联或并联电阻器组成,其电阻计算结果为Ser(x1,x2)=x1+x2(S型)或Par(x 1,x2型)=1/(1/x1+1/x2)(P型)。参数为1欧姆或其本身为S或P型。A048211号统计n个单位电阻中可以产生S或P类型的不同电阻。带5个电阻器x1。。x5有桥接配置(B型),
不能由函数Ser()和Par()计算的。
/\A和D之间的电阻由下式给出
x1个x2个
/\Bri(x1、x2、x3、x4、x5)=
B-x3-C
\/x2*x1*x4+x2*x1*x5+x5*x4*x1+x5*x4*x2+x3*(x2+x5)*(x1+x4)
x4 x 5------------------------------------------------------。
\/(x1+x2)*(x4+x5)+x3*(x1+x4+x2+x5)
D类
顺序A174283号统计用n个单位电阻产生的所有S、P和B型电阻。下一个基本上是新的配置,它带有7个电阻器:fork(类型F),不能由函数Ser()、Par()和Bri()计算。
A类
/ \
x3×1
/ \
B-x5-C
/ \ /
x4 x 7 x 6
/ \ /
E-x2-D
A和E之间的电阻由下式给出
Frk(x1、x2、x3、x4、x5、x6、x7)=
x1*x3*x4*x7+x1*x3*x4*x5+x1*x3*x2*x7+x1*x3*x2*x5+x2*x4*x3*x7+x2*x4*x3*x3*x7+x2*x4*x3*x3*x5+
x2*x4*x1*x7+x2*x4*x1*x5+x5*x7*x1*x3+x5*x7*x1*x4+x5*1*x7*x2*x3+x 5*x7*x2*x7*x4+
x6*x1*x3*x7+x6*x1*x3*x2+x6*x1*x3x4+x6*x5*x7*x3+x6*x5*x2*x3+x6*x3*x4*x5*x5+
x6*x3*x4*x7+x6*x1*x4*x7+x6*x5*x7*x4+x6x2*x2*x4x3+x6*x2*x1+x6*x5*x2*x4
------------------------------------------------------------------------ .
x3*x4*x7+x3*x4*x5+x2*x3*x 7+x5*x2*x3+x1*x4x4*x 7+x5*x1*x4+x1*x2*x 7+
x1*x2*x5+x5*x7*x3+x5*x7*x4+x5*x7*x1+x5x7*x2+x6*x3*x7+x6*x2*x3+
x6*x3*x4+x6*x1*x7+x6*x1*x2+x6*1*x4+x6*x5*x7+x6*x5*x2+x6*x4*x5*x5
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