I have a question that is a little hard to explain, since i don't know the name of this method, but I'll try my best, if anyone knows the name please do tell me.(adsbygoogle = window.adsbygoogle || []).push({});

So let's say we have three numbers, 1 2 3 (in this order)

and we have a container for this numbers: C_{123}

and we have some operations: O_{12}, O_{13}and O_{23}

each of these operations act on those numbers changing their positions.

For example O_{12}will change the position of the first and second elements.

So lets say: O_{12}. C_{123}will equal: C_{213}

And if we want to find out what operations to use when we have the original Container and the target Container we can do it easily graphically.

For example:

Original: C_{123}

Target: C_{231}

This can be done graphically:

The point where the lines intercept represent the operation between those two numbers. And the order is important, since these operations are not commutable.

So that's the same as: O_{12}. O_{23}. C_{123}= C_{231}

One last example:

The container doesn't need to hold all of the numbers of the three number-space

Original: C_{12}

Target: C_{31}

Or: O_{23}. O_{12}. C_{12}= C_{31}

So graphically its easy to find out the operations of any N number-space.

But how do we express that in a mathematical general expression?

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# Graphical to Mathematical representation of changing the order of some elements

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