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what′s the matter? yesterday the app was not accessible for many hours. now it seems to work normally again. but actually it doesn′t, at least with me. when i tip “view older” to scroll through the old posts, the app crashes always at some point, showing a message “Math Editor isn′t responding. × Close it ⊝ Wait” are you also experiencing the same problem? what has happened since yesterday?

$${what}'{s}\:{the}\:{matter}? \\ $$$${yesterday}\:{the}\:{app}\:{was}\:{not}\:{accessible} \\ $$$${for}\:{many}\:{hours}.\:{now}\:{it}\:{seems}\:{to} \\ $$$${work}\:{normally}\:{again}.\:{but}\:{actually} \\ $$$${it}\:{doesn}'{t},\:{at}\:{least}\:{with}\:{me}.\:{when} \\ $$$${i}\:{tip}\:``\boldsymbol{{view}}\:\boldsymbol{{older}}''\:{to}\:{scroll}\:{through} \\ $$$${the}\:{old}\:{posts},\:{the}\:{app}\:{crashes}\:{always} \\ $$$${at}\:{some}\:{point},\:{showing}\:{a}\:{message} \\ $$$$``{Math}\:{Editor}\:{isn}'{t}\:{responding}. \\ $$$$×\:{Close}\:{it} \\ $$$$\circleddash\:{Wait}'' \\ $$$${are}\:{you}\:{also}\:{experiencing}\:{the}\:{same} \\ $$$${problem}?\: \\ $$$${what}\:{has}\:{happened}\:{since}\:{yesterday}? \\ $$

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Question Number 223255    Answers: 2   Comments: 0

Which of the following complex numbers is equivalent to ((3−5i)/(8+2i))?(Note: i=(√(−1))) A)(3/8)−((5i)/2) B)(3/8)+((5i)/2) C)(7/(34))−((23i)/(34)) D)(7/(34))+((23i)/(34))

$${Which}\:{of}\:{the}\:{following}\:{complex} \\ $$$${numbers}\:{is}\:{equivalent}\:{to}\:\frac{\mathrm{3}−\mathrm{5}{i}}{\mathrm{8}+\mathrm{2}{i}}?\left({Note}:\:{i}=\sqrt{\left.−\mathrm{1}\right)}\right. \\ $$$$\left.{A}\right)\frac{\mathrm{3}}{\mathrm{8}}−\frac{\mathrm{5}{i}}{\mathrm{2}} \\ $$$$ \\ $$$$\left.{B}\right)\frac{\mathrm{3}}{\mathrm{8}}+\frac{\mathrm{5}{i}}{\mathrm{2}} \\ $$$$\: \\ $$$$\left.{C}\right)\frac{\mathrm{7}}{\mathrm{34}}−\frac{\mathrm{23}{i}}{\mathrm{34}} \\ $$$$ \\ $$$$\left.{D}\right)\frac{\mathrm{7}}{\mathrm{34}}+\frac{\mathrm{23}{i}}{\mathrm{34}} \\ $$

Question Number 223101    Answers: 0   Comments: 6

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Question Number 222937    Answers: 1   Comments: 0

Prove that the following identity holds : Σ_(λ∈Z[i]) ((1/((1 + 3λ)^3 ))) = ((π^(9/2) (√(1 + (√(3 )))))/(2^(5/4) 3^(27/8) Γ((3/4))^6 )) Where Z[i] = {a + bi : a,b ∈ Z} denotes gaussian integers !

$$ \\ $$$$\:\:\:\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{following}\:\mathrm{identity}\:\mathrm{holds}\::\:\:\:\: \\ $$$$\:\:\:\underset{\lambda\in\mathbb{Z}\left[{i}\right]} {\sum}\:\left(\frac{\mathrm{1}}{\left(\mathrm{1}\:+\:\mathrm{3}\lambda\right)^{\mathrm{3}} }\right)\:=\:\frac{\pi^{\mathrm{9}/\mathrm{2}} \:\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{3}\:}}}{\mathrm{2}^{\mathrm{5}/\mathrm{4}} \:\:\mathrm{3}^{\mathrm{27}/\mathrm{8}} \:\Gamma\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{6}} \:}\:\:\:\:\: \\ $$$$\:\:\:\:\mathrm{Where}\:\mathbb{Z}\left[{i}\right]\:=\:\left\{{a}\:+\:{bi}\::\:{a},{b}\:\in\:\mathbb{Z}\right\}\:\mathrm{denotes}\:\mathrm{gaussian}\:\mathrm{integers}\:!\:\:\:\:\:\:\:\:\: \\ $$$$\: \\ $$

Question Number 222924    Answers: 2   Comments: 0

Question Number 222783    Answers: 1   Comments: 0

$$\:\underbrace{ } \\ $$

Question Number 222781    Answers: 1   Comments: 0

$$\:\cancel{\underline{\underbrace{\succapprox}}} \\ $$

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Σ_(n = 1) ^∞ (1/(cosh^4 [n ln((√2) + 1)]))

$$\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{cosh}^{\mathrm{4}} \left[\mathrm{n}\:\mathrm{ln}\left(\sqrt{\mathrm{2}}\:\:+\:\:\mathrm{1}\right)\right]} \\ $$

Question Number 222373    Answers: 2   Comments: 0

An 80 kg man floats with 4% of his volume above the surface in fresh water.what is his volume? what volume would be above the surface in Sea water?How great is the upthrust on him in air due to the air he displaces? density of sea water =1030kgm^-3, density of fresh water=1000kgm^-3?

An 80 kg man floats with 4% of his volume above the surface in fresh water.what is his volume? what volume would be above the surface in Sea water?How great is the upthrust on him in air due to the air he displaces? density of sea water =1030kgm^-3, density of fresh water=1000kgm^-3?

Question Number 222276    Answers: 0   Comments: 0

Prove; Σ_(k = 1) ^∞ (k/(sinh(πk))) = ((Γ((1/4))^4 − 8π^2 )/(32π^3 ))

$$ \\ $$$$\:\mathrm{Prove};\:\underset{{k}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{k}}{\mathrm{sinh}\left(\pi{k}\right)}\:=\:\frac{\Gamma\left(\frac{\mathrm{1}}{\mathrm{4}}\right)^{\mathrm{4}} −\:\mathrm{8}\pi^{\mathrm{2}} }{\mathrm{32}\pi^{\mathrm{3}} }\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$

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