| NOUN | an irrational number | irrational numbers | |
| SYNO | irrational | irrational number |
NOUN article.ind sg | pl
17 translations
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Usage Examples English
- Some instruments of fixed pitch, such as electric pianos, are commonly tuned using equal temperament, in which all intervals other than octaves consist of irrational-number frequency ratios.
- Erdős in 1948 showed that the constant "E" is an irrational number. Later, Borwein provided an alternative proof.
- The square root of 2 was the first known irrational number.
- The Beatty sequence shows how every positive irrational number gives rise to a partition of the natural numbers into two sequences via the floor function.
- They are precisely those transcendental numbers that can be more closely approximated by rational numbers than any algebraic irrational number.
- , if the rational numbers are partitioned into "A" and "B" this way, the partition itself represents an irrational number.
- (See square root of 2 for proofs that this is an irrational number, and quadratic irrational for a proof for all non-square natural numbers.) The square root function maps rational numbers into algebraic numbers, the latter being a superset of the rational numbers).
- ... an irrational number).
- is an irrational number, such a frequency could not possibly be produced in a natural way as a harmonic, and would clearly signify its artificial origin.
- Alice excelled as a student with her award-winning thesis "Dedekind's Theory of the Irrational Number."
- A (real) irrational number has an infinite non-repeating representation in all integer bases.
- It has been suggested that Fibonacci relationships are not the only irrational number based relationships evident in waves.
- However, considered as a sequence of real numbers, it does converge to the irrational number [...].
- is a quadratic irrational number in the upper half plane then [...] is an algebraic integer.
- Moreover, every irrational number [...] is the value of a "unique" infinite regular continued fraction, whose coefficients can be found using the non-terminating version of the Euclidean algorithm applied to the incommensurable values [...] and 1.
- If [...] is an irrational number, then the curve never closes, and fills the space between the larger circle and a circle of radius [...].
- Sometimes some irrational number close to one of these primes is substituted (an example of tempering) to favour other primes, as in twelve tone equal temperament where 3 is tempered to 2 [...] to favour 2, or in quarter-comma meantone where 3 is tempered to 2 [...] to favor 2 and 5.
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Contains inflection data from
VESUM (Rysin, A., Starko, V. Large Electronic Dictionary of Ukrainian, Version 6.5.2. 2005-2024). Thank you!
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