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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a/b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 / 2 ⁠, − ⁠ 8 / 5 ⁠, ⁠ −8 / 5 ⁠, and ⁠ 8 / −5 ⁠

  3. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ).

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Another meaning for generalized continued fraction is a generalization to higher dimensions. For example, there is a close relationship between the simple continued fraction in canonical form for the irrational real number α, and the way lattice points in two dimensions lie to either side of the line y = αx. Generalizing this idea, one might ...

  5. Note value - Wikipedia

    en.wikipedia.org/wiki/Note_value

    Note Rest American name British name Relative value Dotted value Double dotted value Triple dotted value; large, duplex longa, or maxima [1] [2] (occasionally octuple note, [3] octuple whole note, [4] or octuple entire musical note) [5]

  6. Law of definite proportions - Wikipedia

    en.wikipedia.org/wiki/Law_of_definite_proportions

    The law of definite proportion was given by Joseph Proust in 1797. [2]I shall conclude by deducing from these experiments the principle I have established at the commencement of this memoir, viz. that iron like many other metals is subject to the law of nature which presides at every true combination, that is to say, that it unites with two constant proportions of oxygen.

  7. Some critics of Janssen, including plaintiff’s lawyers, have ...

    highline.huffingtonpost.com/miracleindustry/...

    4 ! adolescents ages 13 to 17 and for the short-term treatment of manic or mixed episodes of bipolar I disorder in children and adolescents ages 10 to 17.4 o In approving Risperdal for the irritability associated with autistic disorders in

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