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Miklós Schweitzer
1994 Miklós Schweitzer
1
1
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1994 Miklós Schweitzer
Problems
(1)
mean-free order
Source: miklos schweitzer 1994 q1
10/16/2021
An ordered set of numbers is mean-free if for all
x
<
y
<
z
x < y < z
x
<
y
<
z
,
y
≠
x
+
z
2
y \neq \frac{x + z}{2}
y
=
2
x
+
z
. Is it possible to order the real numbers so it becomes mean-free?related: https://www.youtube.com/watch?v=ppaXUxsEjMQ
ordered set