新基礎

x=x
x(1/x)=1
xΔx=1
x(1/x)=xΔx=1
xx*=1
x(1/x)=xΔx=xx*=1
xf(x)=x(1/x)=xΔx=xx*=1
xf(x)=1
f(x)=1/x
w=f(x)=1/x
w=f(x)=1/1x
w=f(x)=(0+1)/(1x+0)
w=f(x)=(0x+1)/(1x+0)
a=0
b=1
c=1
d=0
w=f(x)=(0x+1)/(1x+0)
w=f(x)=(ax+b)/(cx+d)
w=f(z)=(az+b)/(cz+d)

xf(x)=x(1/x)=xΔx=xx*=1
xΔx=1
Δx=1/x
x(1/x)=1
x=x

z=z
z(1/z)=1
zΔz=1
z(1/z)=zΔz=1
zz*=1
z(1/z)=zΔz=zz*=1
zf(z)=z(1/z)=zΔz=zz*=1
zf(z)=1
f(z)=1/z
w=f(z)=1/z
w=f(z)=1/1z
w=f(z)=(0+1)/(1z+0)
w=f(z)=(0z+1)/(1z+0)
a=0
b=1
c=1
d=0
w=f(z)=(0z+1)/(1z+0)
w=f(z)=(az+b)/(cz+d)

zf(z)=z(1/z)=zΔz=zz*=1
zΔz=1
Δz=1/z
z(1/z)=1
z=z

w=f(z)=(az+b)/(cz+d)
a=-1
b=0
c=0
d=1
w=f(z)=(-1z+0)/(0z+1)
w=f(z)=(-1z+0)/(0+1)
w=f(z)=(-1z)/(1)
w=f(z)=-1z/1
w=f(z)=-z
wn+1=f(zn)=-zn
zn+1=wn+1=f(zn)=-zn

w=f(z)=(az+b)/(cz+d)
a=1
b=0
c=0
d=-1
w=f(z)=(1z+0)/(0z-1)
w=f(z)=(1z+0)/(0-1)
w=f(z)=(1z)/(-1)
w=f(z)=1z/-1
w=f(z)=-z
wn+1=f(zn)=-zn
zn+1=wn+1=f(zn)=-zn

zn+1=wn+1=f(zn)=-zn
An+1=rAn
zn+1=rzn
zn+1=wn+1=f(zn)=-zn
zn+1=wn+1=f(zn)=-zn=rzn
zn+1=-zn=rzn
r=-1
zn+1=-zn=rzn
zn+1=rzn=-zn
zn+1=rzn
zn+1=-zn

zn+1=rzn
(1/r)zn+1=zn
zn=(1/r)zn+1
r=-1
zn=(1/-1)zn+1
zn=(-1)zn+1
zn=-zn+1

zn+1=-zn
(-zn+1)=zn
zn=-zn+1