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commensurably

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Possible Dictionary Clues
In a commensurable manner so as to be commensurable.
bDefinitionb of COMMENSURABLE. 1. : having a common measure specifically : divisible without remainder by a common unit. 2. : commensurate 2.

Commensurably might refer to
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.

Commensurably might refer to

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
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* {\textstyle {\frac {\sqrt {3}}{2{\sqrt {3}}}}={\frac {1}{2}}}
* , is a rational number. However, the numbers
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* 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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