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The number π (/paɪ/ ⓘ; spelled out as pi) is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter. It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| .mw-parser-output .sfrac | instance of | although fractions | 0.80 | text |
| number theory | instance of | It also appears in areas | 0.80 | text |
| statistics | instance of | It also appears in areas | 0.80 | text |
| and in modern mathematical analysis | instance of | It also appears in areas | 0.80 | text |
| this was proposed as a definition of π by Karl Weierstrass | instance of | An integral | 0.80 | text |
| who defined it directly as an integral in 1841.Integration is no longer commonly used in a first analytical definition because | instance of | An integral | 0.80 | text |
| as Remmert 2012 explains | instance of | An integral | 0.80 | text |
| differential calculus typically precedes integral calculus in the university curriculum | instance of | An integral | 0.80 | text |
| so it is desirable to have a definition of π that does not rely on the latter | instance of | An integral | 0.80 | text |
| James Gregory | instance of | Although infinite series were exploited for π most notably by European mathematicians | 0.80 | text |
| Gottfried Wilhelm Leibniz | instance of | Although infinite series were exploited for π most notably by European mathematicians | 0.80 | text |
| the approach also appeared in the Kerala school sometime in the 14th or 15th century | instance of | Although infinite series were exploited for π most notably by European mathematicians | 0.80 | text |
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