Definition of Commensurable numbers. Meaning of Commensurable numbers. Synonyms of Commensurable numbers

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Definition of Commensurable numbers

Commensurable numbers
Commensurable Com*men"su*ra*ble, a. [L. commensurabilis; pref. com- + mensurable. See Commensurate, and cf. Commeasurable.] Having a common measure; capable of being exactly measured by the same number, quantity, or measure. -- Com*men"su*ra*ble*ness, n. Commensurable numbers or quantities (Math.), those that can be exactly expressed by some common unit; thus a foot and yard are commensurable, since both can be expressed in terms of an inch, one being 12 inches, the other 36 inches. Numbers, or Quantities, commensurable in power, those whose squares are commensurable.

Meaning of Commensurable numbers from wikipedia

- 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...
- suppose that this definition consists of indicating which are the commensurable numbers smaller or larger than it .... Spalt, Detlef (2019). Eine kurze...
- the written canon from its visible embodiment, and compiling the commensurable numbers that we know it incorporates." — Richard Tobin, The Canon of Polykleitos...
- nonzero real numbers a and b, the subgroup of R generated by a is commensurable with the subgroup generated by b if and only if the real numbers a and b are...
- the written canon from its visible embodiment, and compiling the commensurable numbers that we know it incorporates." — Richard Tobin, The Canon of Polykleitos...
- dictated that they necessarily must be, for "whole numbers represent discrete objects, and a commensurable ratio represents a relation between two collections...
- suppose that this definition consists of indicating which are the commensurable numbers smaller or larger than it .... Spalt, Detlef (2019). Eine kurze...
- absurdum, which shows that if the diagonal of a square is ****umed to be commensurable with the side, then the same number must be both odd and even. In the...
- square roots, cube roots, and fourth roots). In Europe, such numbers, not commensurable with the numerical unit, were called irrational or surd ("deaf")...
- Commensurability is a concept in the philosophy of science whereby scientific theories are said to be "commensurable" if scientists can discuss the theories...