英和和英

名詞

rational numbers

1. plural of rational number

名詞

rational numbers

1. (mathematics) The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ.
   • 2002, Michael Rosen, Number Theory in Function Fields, page vii:

     Elementary number theory is concerned with the arithmetic properties of the ring of integers, ℤ, and its field of fractions, the rational numbers, ℚ.

   • 2004, Ronald S. Irving, Integers, Polynomials, and Rings: A Course in Algebra, page 127:

     However, if our ring of interest is the rational numbers ℚ, then we see that […] .

   • 2012, Thomas E. Kieren, “3: Rational and Fractional Numbers: From Quotient Fields to Recursive Understanding”, in Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg, editors, Rational Numbers: An Integration of Research, page 53:

     In the analysis that follows, properties of an ordered quotient field (Birkhoff & MacLane, 1953) are considered, because this chapter is focusing on the rational numbers, a prime example of such a field.

   • For more quotations using this term, see Citations:rational numbers.

使用する際の注意点

In formal mathematical terms, the elements of the set can be expressed as fractions /_n, where m and n are integers and n is not zero. In set-builder notation, it can be denoted {/_n | m ∈ ℤ, n ∈ ℤ, n ≠ 0}.

参照

• “rational number”, in The American Heritage Dictionary of the English Language, 4th edition, Boston, Mass.: Houghton Mifflin, 2000, →ISBN.
• “rational number”, in Dictionary.com Unabridged, Dictionary.com, LLC, 1995–present.
• "rational number" in WordNet 2.0, Princeton University, 2003.

アナグラム

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