In-mathematics-I-have-worked-with-and-e-g-k-1-x-k-1-2-x-x-1-k-1-x-k-k-I-have-never-worked-with-I-am-curious-as-to-what-it-is-Is-it-another-notation-form-Does-k-1-x-k

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Question Number 4650 by FilupSmith last updated on 18/Feb/16

In mathematics I have worked with: Σ and Π. e.g. Σ_(k=1) ^x k = (1/2)x(x+1) Π_(k=1) ^x k = k! I have never worked with ∐. I am curious as to what it is. Is it another notation form? Does ∐_(k=1) ^x k exist?

$$\mathrm{In}\:\mathrm{mathematics}\:\mathrm{I}\:\mathrm{have}\:\mathrm{worked}\:\mathrm{with}: \\ $$$$\Sigma\:\mathrm{and}\:\Pi. \\ $$$${e}.{g}. \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\sum}}{k}\:=\:\frac{\mathrm{1}}{\mathrm{2}}{x}\left({x}+\mathrm{1}\right) \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{x}} {\prod}}{k}\:=\:{k}! \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{never}\:\mathrm{worked}\:\mathrm{with}\:\coprod.\:\mathrm{I}\:\mathrm{am}\:\mathrm{curious} \\ $$$$\mathrm{as}\:\mathrm{to}\:\mathrm{what}\:\mathrm{it}\:\mathrm{is}.\:\mathrm{Is}\:\mathrm{it}\:\mathrm{another}\:\mathrm{notation}\:\mathrm{form}? \\ $$$$\mathrm{Does}\:\underset{{k}=\mathrm{1}} {\overset{{x}} {\coprod}}{k}\:\mathrm{exist}? \\ $$

Commented by Yozzii last updated on 19/Feb/16