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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A mixed number (also called a mixed fraction or mixed numeral) is the sum of a non-zero integer and a proper fraction, conventionally written by juxtaposition (or concatenation) of the two parts, without the use of an intermediate plus (+) or minus (−) sign. When the fraction is written horizontally, a space is added between the integer and ...

  3. Hilbert's second problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_second_problem

    In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900) , which include a second order completeness axiom.

  4. Improper integral - Wikipedia

    en.wikipedia.org/wiki/Improper_integral

    An improper Riemann integral of the first kind, where the region in the plane implied by the integral is infinite in extent horizontally. The area of such a region, which the integral represents, may be finite (as here) or infinite. An improper Riemann integral of the second kind, where the implied region is infinite vertically.

  5. Mischling - Wikipedia

    en.wikipedia.org/wiki/Mischling

    Mischling (German: [ˈmɪʃlɪŋ] ⓘ; lit. ' mix-ling '; pl. Mischlinge [1]) was a pejorative legal term which was used in Nazi Germany to denote persons of mixed "Aryan" and "non-Aryan", such as Jewish, ancestry as they were classified by the Nuremberg racial laws of 1935. [2]

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