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词条 Gregory number
释义

  1. See also

  2. References

In mathematics, a Gregory number, named after James Gregory, is a real number of the form:[1]

where x is any rational number greater or equal to 1. Considering the power series expansion for arctangent, we have

Setting x = 1 gives the well-known Leibniz formula for pi. Thus, in particular,

is a Gregory number.

See also

  • Størmer number

References

1. ^{{cite book|first=John H.|last=Conway|authorlink =John H. Conway|author2=R. K. Guy |title=The Book of Numbers|publisher=Copernicus Press|location=New York|year=1996|pages=241–243}}
{{Real numbers}}{{numtheory-stub}}

1 : Sets of real numbers

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