| 词汇 | irrational-number |
| 释义 | irrational number noun[ C ] mathematics specializeduk /ɪˌræʃ.ən.əl ˈnʌm.bər/ us /ɪˌræʃ.ən.əl ˈnʌm.bɚ/ a number that cannot be expressed as the ratio of two whole numbers无理数 Compare rational number Terms for numbers -handed additive inverse aliquot common denominator common factor common multiple exponent fold fortyfold fourfold GCF hundredfold reciprocal recurring recurring number remainder response variable twentyfold twofold weighting irrational number | American Dictionaryirrational number noun[ C ] us/ɪˈræʃ·ə·n0əl ˈnʌm·bər/ algebra a number that cannot be expressed as the ratio (= comparison of two numbers by division) of two whole numbers Examples of irrational numberirrational number Every infinite continued fraction converges to an irrationalnumber. Conversely, every irrationalnumber is decomposable, in one and only one way, into a continued fraction which is necessarily infinite. Recall that each number has at most two binary expansions and any irrationalnumber has exactly one. Thus, for example, an irrationalnumber is the limit of different fractions which have values approaching it more and more. Incidentally, this "irrational flow on a torus," where 1 /2 is an irrationalnumber, determines one of the simpler examples of chaotic behavior. Let x be an irrationalnumber. By taking quantitative values (numbers) out of the equation, he avoided the trap of having to express an irrationalnumber as a number. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An irrationalnumber has an infinite non-repeating representation in all integer bases. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, considered as a sequence of real numbers, it does converge to the irrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The former is a rational number; the latter is an irrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Thus, the notion of an irrationalnumber is meaningless to even the most powerful floating-point computer. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. One way to consider this is that the real value often has the characteristics of an irrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The golden ratio has the slowest convergence of any irrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Every location on the number line continuum contains either a rational or an irrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An irrational cut is equated to an irrationalnumber which is in neither set. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. See all examples of irrational number These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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