division by zero wikipedia - EAS

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    https://en.wikipedia.org/wiki/Division_by_zero

    In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as , where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a (assuming );

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    When division is explained at the elementary arithmetic level, it is often considered as splitting a set of objects into equal parts. As an example, consider having ten cookies, and these cookies are to be distributed equally to

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    The four basic operations – addition, subtraction, multiplication and division – as applied to whole numbers (positive integers), with some

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    Although division by zero cannot be sensibly defined with real numbers and integers, it is possible to consistently define it, or similar operations, in other mathematical structures.

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    The IEEE floating-point standard, supported by almost all modern floating-point units, specifies that every floating point arithmetic

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    The Brāhmasphuṭasiddhānta of Brahmagupta (c. 598–668) is the earliest text to treat zero as a number in its own right and to define operations involving zero. The author could not

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    Extended real line
    At first glance it seems possible to define a/0 by considering the limit of a/b as b approaches 0.
    For any positive a, the limit from the right is
    and so the is

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    • On September 21, 1997, a division by zero error in the "Remote Data Base Manager" aboard USS Yorktown (CG-48) brought down all the machines on the network, causing the ship's propulsion system to fail.

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  2. https://simple.wikipedia.org/wiki/Division_by_zero
    • It is possible to disguise a special case of division by zero in an algebraicargument. This can lead to invalid proofs, such as 1=2, as in the following: With the following assumptions: 1. 0 × 1 = 0 0 × 2 = 0. {\displaystyle {\begin{aligned}0\times 1&=0\\0\times 2&=0.\end{aligned}}} The following must be true: 1. 0 × 1 = 0 × 2. {\displaystyle 0\tim...
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    • https://en.wikipedia.org/wiki/Division_by_Zero_(story)

      "Division by Zero" is a science fiction short story by American writer Ted Chiang, initially published in 1991 in Full Spectrum 3 magazine. Later the story was republished in the 2002 Ted Chiang collection Stories of Your Life and Others.

    • https://brilliant.org/wiki/division-by-zero

      Since division is the inverse of multiplication, x × 0 = a. x\times 0=a x ×0 = a. We know from the rules of multiplication that any number multiplied by zero is zero. x × 0 = 0 = a. x\times 0=0=a x×0 = 0 = a. Which contradicts our earlier assumption that. a ≠ 0. a\neq 0 a .

    • https://powerlisting.fandom.com/wiki/Division_by_Zero
      • Divide fire by zero with water will result in outcomes like fire that is cold to the touch, you can swim in it, or you can put out fires by tossing something burning into the fire. Divide water by zero with fire will result in outcomes like you can light up a campfire by splashing water into a pile of wood. Divide nothingness or noexistence by zero...
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    • Division by zero - Wikipedia, the free encyclopedia - Zubiaga

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      In mathematics, a division is called a division by zero if the divisor is zero. Such a division can be formally expressed as a /0 where a is the dividend. Whether this expression can be assigned a well-defined value depends upon the mathematical setting. In ordinary ( real number) arithmetic, the expression has no meaning.

    • https://math.fandom.com/wiki/Division_by_zero

      Division by zero is an illegal operation, regardless of the value of the dividend.It has an undefined value, and therefore no meaningful value. No conclusions can be drawn, and usually the operation if otherwise unnoticed will produce a contradictory or illogical result. No numeric or abstract concept exists that explains or justifies a division by zero, and therefore, if such an expression …

    • https://www.wikihow.life/Interpret-Division-by-Zero

      Nov 22, 2021 · 1. Acknowledge that dividing by zero produces an undefined result. When reaching a result that is any nonzero number divided by zero in algebra, this value is considered undefined, as division by zero is not possible. Alternatively, dividing zero by itself results in an "indeterminate" value, since, while any other number divided by itself ...

    • https://ja.wikipedia.org/wiki/ゼロ除算

      ゼロ除算(ゼロじょさん、英語: division by zero )は、0で除す割り算のことである。 このような除算は除される数を a とするならば、形式上は a / 0 と書くことができるが、数学において、このような式を矛盾なく定義することはできない。 コンピュータの数値計算においてゼロ除算が発 …

    • https://en.wikipedia.org/wiki/0

      0 (zero) is a number, and the numerical digit used to represent that number in numerals.It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures.As a digit, 0 is used as a placeholder in place value systems. Names for the number 0 in English include zero, nought (UK), naught (US; / n ɔː t /), nil, or—in contexts ...

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