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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two , e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠ .

  3. Exercise (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Exercise_(mathematics)

    Later most exercises involve at least two digits. A common exercise in elementary algebra calls for factorization of polynomials. Another exercise is completing the square in a quadratic polynomial. An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1]

  4. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    So this particular repeating decimal corresponds to the fraction1 / 10 n − 1 ⁠, where the denominator is the number written as n 9s. Knowing just that, a general repeating decimal can be expressed as a fraction without having to solve an equation. For example, one could reason:

  5. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In particular F n contains all of the members of F n−1 and also contains an additional fraction for each number that is less than n and coprime to n. Thus F 6 consists of F 5 together with the fractions1 / 6 ⁠ and ⁠ 5 / 6 ⁠. The middle term of a Farey sequence F n is always ⁠ 1 / 2 ⁠, for n > 1.

  6. Lever rule - Wikipedia

    en.wikipedia.org/wiki/Lever_rule

    In chemistry, the lever rule is a formula used to determine the mole fraction (x i) or the mass fraction (w i) of each phase of a binary equilibrium phase diagram. It can be used to determine the fraction of liquid and solid phases for a given binary composition and temperature that is between the liquidus and solidus line. [1]

  7. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    That is, one chases elements around the diagram, or does a diagram chase. handwaving A non-technique of proof mostly employed in lectures, where formal argument is not strictly necessary. It proceeds by omission of details or even significant ingredients, and is merely a plausibility argument. in general

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