Formula q_1021 (Q823): Difference between revisions

Latest revision as of 13:33, 20 April 2020

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English	Formula q_1021	No description defined

q_1021

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e^{2\pi iz}=e^{2\pi i(x+\alpha n)}\Rightarrow 2\pi iz=2\pi i(x+\alpha n)+2ik\pi \;{\textrm {forsome}}\;k\in \mathbb {Z} \Rightarrow z=x+\alpha n+k.

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Revision as of 13:33, 20 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: arqmath formula id (P8): q_1021 ← Older edit	Latest revision as of 13:33, 20 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: Defining formula (P1): e^{2\pi i z}=e^{2\pi i (x+\alpha n)}\Rightarrow 2\pi iz=2\pi i(x+\alpha n)+2ik\pi\;\textrm{for some}\;k\in\mathbb{Z}\Rightarrow z=x+\alpha n+k.
	Property / Defining formula
		$e^{2\pi iz}=e^{2\pi i(x+\alpha n)}\Rightarrow 2\pi iz=2\pi i(x+\alpha n)+2ik\pi \;{\textrm {forsome}}\;k\in \mathbb {Z} \Rightarrow z=x+\alpha n+k.$ `e^{2\pi i z}=e^{2\pi i (x+\alpha n)}\Rightarrow 2\pi iz=2\pi i(x+\alpha n)+2ik\pi\;\textrm{for some}\;k\in\mathbb{Z}\Rightarrow z=x+\alpha n+k.`
	Property / Defining formula: $e^{2\pi iz}=e^{2\pi i(x+\alpha n)}\Rightarrow 2\pi iz=2\pi i(x+\alpha n)+2ik\pi \;{\textrm {forsome}}\;k\in \mathbb {Z} \Rightarrow z=x+\alpha n+k.$ / rank
		Normal rank