Content deleted Content added
→Self-similarity: Define the reflection as |
→Self-similarity: explain in excrutiating detail |
||
Line 92:
The first self-symmetry can be expressed as
:<math>r\circ c = c\circ r</math>
where the symbol <math>\circ</math> denotes function composition. That is, <math>(r\circ c)(x)=r(c(x))=1-c(x)</math> and <math>(c\circ r)(x)=c(r(x))=c(1-x).</math> For the left and right magnifications, write the left-mappings
:<math>L_D(x)= \frac{x}{2}</math> and <math>L_C(x)= \frac{x}{3}</math>
Then the Cantor function obeys
| |||