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  2. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    Now 2b 2 and a 2 cannot be equal, since the first has an odd number of factors 2 whereas the second has an even number of factors 2. Thus | 2b 2 − a 2 | ≥ 1. Multiplying the absolute difference | √ 2 − ⁠ a / b ⁠ | by b 2 (√ 2 + ⁠ a / b ⁠) in the numerator and denominator, we get [17]

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The entire fraction may be expressed as a single composition, in which case it is hyphenated, or as a number of fractions with a numerator of one, in which case they are not. (For example, two-fifths is the fraction2 / 5 ⁠ and two fifths is the same fraction understood as 2 instances of ⁠ 1 / 5 ⁠.) Fractions should always be ...

  4. Dyadic rational - Wikipedia

    en.wikipedia.org/wiki/Dyadic_rational

    In mathematics, a dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3 is not. These numbers are important in computer science because they are the only ones with finite binary representations. Dyadic rationals also ...

  5. Percentage - Wikipedia

    en.wikipedia.org/wiki/Percentage

    An increase of $0.15 on a price of $2.50 is an increase by a fraction of ⁠ 0.15 / 2.50 ⁠ = 0.06. Expressed as a percentage, this is a 6% increase. While many percentage values are between 0 and 100, there is no mathematical restriction and percentages may take on other values. [4]

  6. Calculator - Wikipedia

    en.wikipedia.org/wiki/Calculator

    The first American-made pocket-sized calculator, the Bowmar 901B (popularly termed The Bowmar Brain), measuring 5.2 by 3.0 by 1.5 inches (132 mm × 76 mm × 38 mm), came out in the Autumn of 1971, with four functions and an eight-digit red LED display, for US$240, while in August 1972 the four-function Sinclair Executive became the first ...

  7. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

  8. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    The simplest fraction ⁠ 3 / y ⁠ with a three-term expansion is ⁠ 3 / 7 ⁠. A fraction ⁠ 4 / y ⁠ requires four terms in its greedy expansion if and only if y ≡ 1 or 17 (mod 24), for then the numerator −y mod x of the remaining fraction is 3 and the denominator is 1 (mod 6). The simplest fraction ⁠ 4 / y ⁠ with a four-term ...

  9. Casio V.P.A.M. calculators - Wikipedia

    en.wikipedia.org/wiki/Casio_V.P.A.M._calculators

    The fx-82ES introduced by Casio in 2004 was the first calculator to incorporate the Natural Textbook Display (or Natural Display) system. It allowed the display of expressions of fractions, exponents, logarithms, powers and square roots etc. as they are written in a standard textbook.