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  2. Division (mathematics) - Wikipedia

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

    In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A cake with one quarter (one fourth) removed. The remaining three fourths are shown by dotted lines and labeled by the fraction 1 ⁄ 4. A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size ...

  4. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    In modular arithmetic, unit fractions can be converted into equivalent whole numbers, allowing modular division to be transformed into multiplication. Every rational number can be represented as a sum of distinct unit fractions; these representations are called Egyptian fractions based on their use in ancient Egyptian mathematics. Many infinite ...

  5. 4th Infantry Division (United States) - Wikipedia

    en.wikipedia.org/wiki/4th_Infantry_Division...

    The 4th Infantry Division is a division of the United States Army based at Fort Carson, Colorado. It is composed of a division headquarters battalion, three brigade combat teams (two Stryker and one armor), a combat aviation brigade, a division sustainment brigade, and a division artillery.

  6. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation, the general example can be written as a 0 {\displaystyle {\tfrac {a}{0}}} , where a {\displaystyle a} is the dividend (numerator).

  7. Obelus - Wikipedia

    en.wikipedia.org/wiki/Obelus

    The modern dagger symbol originated from a variant of the obelus, originally depicted by a plain line −, or a line with one or two dots тик ÷. [7] It represented an iron roasting spit, a dart, or the sharp end of a javelin, [8] symbolizing the skewering or cutting out of dubious matter.

  8. Division ring - Wikipedia

    en.wikipedia.org/wiki/Division_ring

    Division rings are the only rings over which every module is free: a ring R is a division ring if and only if every R-module is free. [9] The center of a division ring is commutative and therefore a field. [10] Every division ring is therefore a division algebra over its center. Division rings can be roughly classified according to whether or ...

  9. Division algebra - Wikipedia

    en.wikipedia.org/wiki/Division_algebra

    For associative algebras, the definition can be simplified as follows: a non-zero associative algebra over a field is a division algebra if and only if it has a multiplicative identity element 1 and every non-zero element a has a multiplicative inverse (i.e. an element x with ax = xa = 1).

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