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Here is the Wikipedia article on the lonely runner conjecture

https://en.m.wikipedia.org/wiki/Lonely_runner_conjecture#

I have some inquires about it.

Firstly I am right in thinking that "pair wise distinct" means that the speed of all runners are different?

Also does every runner have to be at least 1/k (k is the number of runners) from all the other runners simultaneously? Or can runners achieve "loneliness" at a certain time even whilst other runners have not?

Furthermore, once a runner achieves "loneliness" is it maintained? In other words say a runner is lonely, does it stay lonely even if the distance between it and the other runners decreases to become smaller than 1/k afterwards?

https://en.m.wikipedia.org/wiki/Lonely_runner_conjecture#

I have some inquires about it.

Firstly I am right in thinking that "pair wise distinct" means that the speed of all runners are different?

Also does every runner have to be at least 1/k (k is the number of runners) from all the other runners simultaneously? Or can runners achieve "loneliness" at a certain time even whilst other runners have not?

Furthermore, once a runner achieves "loneliness" is it maintained? In other words say a runner is lonely, does it stay lonely even if the distance between it and the other runners decreases to become smaller than 1/k afterwards?

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