Testwiki:Property proposal/power series expansion

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Motivation

Taylor and Laurent series expansions are important properties of mathematics. Currently they are missing. Midleading (talk) 08:00, 10 August 2022 (UTC)

Discussion

• Template:S This would be good to have. Note power series are not necessarily expanded about x = 0 (powers of x) - for example you can't do that for Template:Q - have you considered whether qualifiers or some other mechanism would be needed in those cases? ArthurPSmith (talk) 18:34, 11 August 2022 (UTC)

Required qualifiers include center of power series expansion, region of convergence. However none have suitable existing properties. Therefore they have to be recorded in the mathematical expression in a human-readable way. $\ln (1+x)=\sum _{k=1}^{\mathrm{\infty }}\frac{(-1{)}^{k-1}}{k}{x}^k=x-\frac{x^2}{2}+\frac{x^3}{3}-\cdots$ --Midleading (talk) 04:10, 12 August 2022 (UTC)

• Template:S Midleading's clarification aboce is important, though; not all expansions are around zero. The Anome (talk) 20:44, 15 August 2022 (UTC)
• Template:Support --Tinker Bell ★ ♥ 04:46, 16 August 2022 (UTC)

Template:Ping Template:Done Now Template:P. --Lymantria (talk) 06:15, 23 August 2022 (UTC)