Weierstrass M-test

Summary

Weierstrass M-test is a theorem^[1]. It draws 167 Wikipedia views per month (theorem category, ranking #149 of 1,306).^[2]

Key Facts

• Weierstrass M-test's instance of is recorded as theorem^[3].
• Karl Weierstraß is named after Weierstrass M-test^[4].
• Weierstrass M-test's Freebase ID is recorded as /m/0297kd^[5].
• Weierstrass M-test's Encyclopædia Britannica Online ID is recorded as topic/Weierstrass-M-test^[6].
• Weierstrass M-test's defining formula is recorded as \begin{aligned}&f_n \colon A\to \mathbb R \ &\left(\forall n\ge 1\forall x\in A\colon|f_n(x)|\le |M_n|\right)\land \left(\sum {n=1}^\infty |M_n|<\infty\right)\implies \exists \sum{n=1}^\infty |f_n| \end{aligned}<sup id="cite-C10" class="cite-ref" title="Weierstrass M-test — defining formula (P2534): \begin{aligned}&f_n \colon A\to \mathbb R \ &\left(\forall n\ge 1\forall x\in A\colon|f_n(x)|\le |M_n|\right)\land \left(\sum _{n=1}^\infty |M_n|<\infty">[7].
• Weierstrass M-test's studied by is recorded as calculus^[8].
• Weierstrass M-test's MathWorld ID is recorded as WeierstrassM-Test^[9].
• Weierstrass M-test's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• Weierstrass M-test's Microsoft Academic ID is recorded as 2781003698^[11].
• Weierstrass M-test's ProofWiki ID is recorded as Weierstrass_M-Test^[12].
• Weierstrass M-test's Digital Library of Mathematical Functions ID is recorded as 1.10.E20^[13].
• Weierstrass M-test's Great Russian Encyclopedia portal ID is recorded as priznak-veiershtrassa-312ab1^[14].

Why It Matters

Weierstrass M-test draws 167 Wikipedia views per month (theorem category, ranking #149 of 1,306).^[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.^[15] It is known by 8 alternative names across languages and contexts.^[16]