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computable    
a. 可计算的

可计算的

computable
可计算

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  • Difference definable vs. computable - Mathematics Stack Exchange
    Yes, all computable numbers are definable but not all definable numbers are computable Informally, a computable number is one for which we can write a computer program which calculates it to any desired accuracy So, even though $\pi$ is irrational (and transcendental), it is computable since we know several formulae which can easily be
  • Are there any examples of non-computable real numbers?
    For example, $\pi$ is computable although it is irrational, i e endless decimal fraction It was just a luck, that there are some simple periodic formulas to calcualte $\pi$ If it wasn't than we were unable to calculate $\pi$ ans it was non-computable If so, that we can't provide any examples of non-computable numbers? Is that right?
  • Constructive vs computable real numbers - Mathematics Stack Exchange
    So for all practical purposes you could just work with the set of computable real numbers - and that is what constructive analysts do Computable real numbers are algebraically closed - every reasonable operation you do with them will result in another computable numbers That is the essence of the statement
  • computability - Wikipedias definition of a computable numbers . . .
    computable numbers are the real numbers that can be computed to within any desired precision by a finite
  • Cardinality of computable numbers in range $(0, 1)$
    The simplest is to observe that every rational number is computable Since there are infinitely many rational numbers in $(0,1)$, that means that there are infinitely many computable numbers in $(0,1)$, so the cardinality of the set of computable numbers in $(0,1)$ is at least $\aleph_0$
  • Are there computable reals that are not Dedekind-computable?
    It is clear that there is no constructive proof that all computable numbers have a computable Dedekind cut However, Markov's principle is all that is needed to show that there is no computable real number which does not have a computable Dedekind cut $\endgroup$ –





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