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In mathematics, division by zero, division where the divisor (denominator) is zero, is a 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).
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displaystyle zero division number numbers tfrac infinity real infty undefined example function arithmetic quotient negative positive result limit multiplication value
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the real numbers | instance of | as the resulting limit depends on the specific functions forming the fraction and cannot be determined from their separate limits.As an alternative to the common convention of w… | 0.80 | text |
| leaving division by zero undefined | instance of | as the resulting limit depends on the specific functions forming the fraction and cannot be determined from their separate limits.As an alternative to the common convention of w… | 0.80 | text |
| it is possible to define the result of division by zero in other ways | instance of | as the resulting limit depends on the specific functions forming the fraction and cannot be determined from their separate limits.As an alternative to the common convention of w… | 0.80 | text |
| resulting in different number systems | instance of | as the resulting limit depends on the specific functions forming the fraction and cannot be determined from their separate limits.As an alternative to the common convention of w… | 0.80 | text |
| Peano's axiom system | instance of | are established on an axiomatic basis | 0.80 | text |
| then this is expanded to the ring of integers | instance of | are established on an axiomatic basis | 0.80 | text |
| Division by zero | related to Abstract algebra | In | 0.60 | section |
| Division by zero | related to Abstract algebra | Adjoining | 0.60 | section |
| Division by zero | related to Abstract algebra | However | 0.60 | section |
| Division by zero | related to Abstract algebra | Nevertheless | 0.60 | section |
| Division by zero | related to Abstract algebra | Furthermore | 0.60 | section |
| Division by zero | related to Fallacies | When | 0.60 | section |
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