Scrabble?! COMMENSURABLY
Is commensurably valid for Scrabble? Words With Friends? Lexulous? WordFeud? Other games?Definitions of COMMENSURABLY in various dictionaries:
In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio a/b is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.) There is a more general notion of commensurability in group theory. For example, the numbers 3 and 2 are commensurable because their ratio, 3/2, is a rational number. The numbers 3 {\displaystyle {\sqrt {3}}} and 2 3 {\displaystyle 2{\sqrt {3}}} are also commensurable because their ratio, 3 2 3 = 1 2 {\textstyle {\frac {\sqrt {3}}{2{\sqrt {3}}}}={\frac {1}{2}}} , is a rational number. However, the numbers 3 {\textstyle {\sqrt {3}}} and 2 are incommensurable because their ratio, 3 2 {\textstyle {\frac {\sqrt {3}}{2}}} , is an irrational number. In fact, it can be proven that if a and b are any two non-zero rational numbers, then a and b are commensurable, while if a is any irrational number and b is any non-zero rational number, then a and b are incommensurable. On the other hand, if a and b are both irrational numbers, then a and b may or may not be commensurable.
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There are 13 letters in COMMENSURABLY ( A1B3C3E1L1M3N1O1R1S1U1Y4 )
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