Gregory's series

Summary

Gregory's series is a Taylor series^[1]. It draws 107 Wikipedia views per month (taylor_series category, ranking #1 of 2).^[2]

Key Facts

• Gregory's series's instance of is recorded as Taylor series^[3].
• Gregory's series's instance of is recorded as mathematical concept^[4].
• Gregory's series's Freebase ID is recorded as /m/06zknbl^[5].
• Gregory's series's represents is recorded as arcus tangent^[6].
• Gregory's series's defining formula is recorded as \arctan z=\sum_{k=0}^\infty\frac{(-1)^kz^{2k+1}}{2k+1}\qquad(|z|\le1\land z\ne\pm\mathrm i)^[7].
• Gregory's series's MathWorld ID is recorded as LeibnizSeries^[8].
• Gregory's series's maintained by WikiProject is recorded as WikiProject Mathematics^[9].
• Gregory's series's Microsoft Academic ID is recorded as 35865330^[10].
• Gregory's series's in defining formula is recorded as \arctan^[11].
• Gregory's series's in defining formula is recorded as k^[12].
• Gregory's series's in defining formula is recorded as z^[13].
• Gregory's series's generalization of is recorded as Leibniz formula for π^[14].
• Gregory's series's Namuwiki ID is recorded as 그레고리 급수^[15].

Why It Matters

Gregory's series draws 107 Wikipedia views per month (taylor_series category, ranking #1 of 2).^[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[16]