Games Error Division By Zero
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list of references, related reading or external links, but its sources remain unclear because it lacks inline citations. Please help to improve this article by introducing more precise citations. (April 2016) (Learn how and when to remove this template message) The function syntax error y=1/x. As x approaches 0 from the right, y approaches infinity. As x approaches 0 from the left, y approaches negative infinity. In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero https://www.reddit.com/r/gamemaker/comments/3tnkxu/divide_by_zero_error/ is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value; when it is the form of a limit, it is an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst ("ghosts of departed quantities").[1] There are mathematical structures in which a/0 is defined for some a such https://en.wikipedia.org/wiki/Division_by_zero as in the Riemann sphere and the projectively extended real line; however, such structures cannot satisfy every ordinary rule of arithmetic (the field axioms). In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g. floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating point standard, generate an exception, generate an error message, cause the program to terminate, result in a special not-a-number value, a freeze via infinite loop, or a crash. Contents 1 Elementary arithmetic 1.1 Early attempts 2 Algebra 2.1 Division as the inverse of multiplication 2.2 Fallacies 3 Calculus 3.1 Extended real line 3.1.1 Formal operations 3.2 Projectively extended real line 3.3 Riemann sphere 3.4 Extended non-negative real number line 4 Higher mathematics 4.1 Non-standard analysis 4.2 Distribution theory 4.3 Linear algebra 4.4 Abstract algebra 5 Computer arithmetic 6 Historical accidents 7 See also 8 References 8.1 Notes 8.2 Sources 9 Further reading Elementary arithmetic[edit] 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 five people at a table. Each person would receive 10 5 {\displaystyle \textstyle {\frac {10}{5}}} = 2 cook
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