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Author: Tinku Tara

Part-1-S-ln-a-bi-a-b-R-i-2-1-is-S-C-b-0-Part-2-t-ln-ln-ln-k-k-R-k-gt-1-t-C-is-t-undefined-

Question Number 5091 by FilupSmith last updated on 11/Apr/16 $$\mathrm{Part}\:\mathrm{1} \\ $$$${S}=\mathrm{ln}\left({a}+{bi}\right),\:\:\:\:\:\:{a},\:{b}\in\mathbb{R} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\mathrm{is}\:{S}\in\mathbb{C}?\:\:\:\:\:\:\:\left({b}\neq\mathrm{0}\right) \\ $$$$ \\ $$$$\mathrm{Part}\:\mathrm{2} \\ $$$${t}=\mathrm{ln}\left(\mathrm{ln}\left(…\left(\mathrm{ln}\left({k}\right)\right)\right)\right),\:\:\:\:{k}\in\mathbb{R},\:{k}>\mathrm{1} \\ $$$$\therefore{t}\in\mathbb{C}?…

This-is-a-silly-request-but-I-think-this-app-should-have-but-the-other-direction-It-would-have-some-application-when-writing-some-matricies-and-to-more-formally-write-x-x-as-

Question Number 5090 by FilupSmith last updated on 11/Apr/16 $$\mathrm{This}\:\mathrm{is}\:\mathrm{a}\:\mathrm{silly}\:\mathrm{request},\:\mathrm{but}\:\mathrm{I}\:\mathrm{think}\:\mathrm{this} \\ $$$$\mathrm{app}\:\mathrm{should}\:\mathrm{have}\:\ddots\:\mathrm{but}\:\mathrm{the}\:\mathrm{other}\:\mathrm{direction}. \\ $$$$ \\ $$$$\mathrm{It}\:\mathrm{would}\:\mathrm{have}\:\mathrm{some}\:\mathrm{application}\:\mathrm{when} \\ $$$$\mathrm{writing}\:\mathrm{some}\:\mathrm{matricies}\:\mathrm{and}\:\mathrm{to}\:\mathrm{more}\:\mathrm{formally} \\ $$$$\mathrm{write}: \\ $$$${x}^{{x}^{…} } \:\:\:\:\:\:\mathrm{as}\:\:\:\:\:\:\:\:{x}^{{x}^{\ddots} }…

According-to-wikipedia-the-cardonality-of-a-set-of-all-finite-subsets-of-any-countably-infinite-set-is-0-How-can-we-prove-this-

Question Number 5088 by FilupSmith last updated on 11/Apr/16 $$\mathrm{According}\:\mathrm{to}\:\mathrm{wikipedia}, \\ $$$$\mathrm{the}\:\mathrm{cardonality}\:\mathrm{of}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{all}\:{finite} \\ $$$$\mathrm{subsets}\:\mathrm{of}\:\mathrm{any}\:\mathrm{countably}\:\mathrm{infinite}\:\mathrm{set} \\ $$$$\mathrm{is}\:\aleph_{\mathrm{0}} . \\ $$$$ \\ $$$$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{prove}\:\mathrm{this}? \\ $$ Terms of…

Question-136156

Question Number 136156 by BHOOPENDRA last updated on 19/Mar/21 Answered by mr W last updated on 19/Mar/21 $${a}=\frac{\mathrm{1000}−\mathrm{15}×\mathrm{10}−\mathrm{25}×\mathrm{10}}{\mathrm{15}+\mathrm{25}}=\mathrm{15}\:{m}/{s}^{\mathrm{2}} \\ $$$${N}=\mathrm{15}×\mathrm{15}+\mathrm{15}×\mathrm{10}=\mathrm{375}\:{N} \\ $$ Terms of Service…