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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. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    If this infinite continued fraction converges at all, it must converge to one of the roots of the monic polynomial x 2 + bx + c = 0. Unfortunately, this particular continued fraction does not converge to a finite number in every case. We can easily see that this is so by considering the quadratic formula and a monic polynomial with real ...

  4. Periodic continued fraction - Wikipedia

    en.wikipedia.org/wiki/Periodic_continued_fraction

    By considering the complete quotients of periodic continued fractions, Euler was able to prove that if x is a regular periodic continued fraction, then x is a quadratic irrational number. The proof is straightforward. From the fraction itself, one can construct the quadratic equation with integral coefficients that x must satisfy.

  5. 7/8 - Wikipedia

    en.wikipedia.org/wiki/7/8

    the Fraction seven eighths or 0.875 in decimal; the 7 8 time signature; see Septuple meter; 7/8 TV (Bulgarian TV channel This page was last edited on ...

  6. Harmonic seventh - Wikipedia

    en.wikipedia.org/wiki/Harmonic_seventh

    The harmonic seventh interval, also known as the septimal minor seventh, [2] [3] or subminor seventh, [4] [5] [6] is one with an exact 7:4 ratio [7] (about 969 cents). [8] This is somewhat narrower than and is, "particularly sweet", [ 9 ] "sweeter in quality" than an "ordinary" [ 10 ] just minor seventh , which has an intonation ratio of 9:5 ...

  7. School uniforms by country - Wikipedia

    en.wikipedia.org/wiki/School_uniforms_by_country

    The practice of wearing school uniform has been adopted by many other countries, and is now common in many parts of the world. Uniforms can be regarded as promoting social equality among students and an esprit de corps , but have also been criticised for promoting a form of uniformity characteristic of militarism.

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