| 单词 | irrational number |
| 释义 | irrational number noun[C] mathematicsspecializeduk/ɪˌræʃ.ən.əl ˈnʌm.bər/us/ɪˌræʃ.ən.əl ˈnʌm.bɚ/anumberthat cannot beexpressedas theratioof twowholenumbers 无理数Compare rational number Terms for numbers
irrational number| American Dictionaryirrational number noun[C] us/ɪˈræʃ·ə·n0əl ˈnʌm·bər/algebra a number that cannot beexpressedas theratio(=comparisonof two numbers bydivision)of twowholenumbers Examplesofirrational numberirrational number Every infinite continued fraction converges to anirrationalnumber. From theCambridge English Corpus Conversely, everyirrationalnumberis decomposable, in one and only one way, into a continued fraction which is necessarily infinite. From theCambridge English Corpus Recall that each number has at most two binary expansions and anyirrationalnumberhas exactly one. From theCambridge English Corpus Thus, for example, anirrationalnumberis the limit of different fractions which have values approaching it more and more. From theCambridge English Corpus Incidentally, this "irrational flow on a torus," where 1 /2 is anirrationalnumber, determines one of the simpler examples of chaotic behavior. From theCambridge English Corpus Let x be anirrationalnumber. From theCambridge English Corpus By taking quantitative values (numbers) out of the equation, he avoided the trap of having to express anirrationalnumberas a number. From Wikipedia  This example is from Wikipedia and may be reused under a CC BY-SA license.Anirrationalnumberhas 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 theirrationalnumber. 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 anirrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.Thus, the notion of anirrationalnumberis 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 anirrationalnumber. 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 anyirrationalnumber. 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 anirrationalnumber. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.An irrational cut is equated to anirrationalnumberwhich is in neither set. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license.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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