Expression 10: "T" left parenthesis, "t" , right parenthesis equals StartRoot, StartFraction, "t" Over 2 pi , EndFraction , EndRoot minus "v" left parenthesis, "t" , right parenthesisTt=t2π−vt
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Correction Terms
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Expression 12: "c" Subscript, 0 , Baseline left parenthesis, "t" , right parenthesis equals Psi left parenthesis, "T" left parenthesis, "t" , right parenthesis , right parenthesisc0t=ΨTt
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Somehow c0 was precise enough so I've turned off c1 because it was causing me problems (triple derivatives man)
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Expression 14: "c" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals 0 StartFraction, negative Psi prime prime prime left parenthesis, "T" left parenthesis, "t" , right parenthesis , right parenthesis Over 96 pi squared , EndFractionc1t=0−Ψ′′′Tt96π2
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The Riemann Zeta function
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Expression 16: "y" equals left parenthesis, left parenthesis, "Z" left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis "E" Subscript, "r" "e" , Baseline left parenthesis, 0 , negative vartheta left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis squared plus left parenthesis, "Z" left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis "E" Subscript, "i" "m" , Baseline left parenthesis, 0 , negative vartheta left parenthesis, "t" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesis squared , right parenthesis Superscript, .5 , Baseliney=Zt1Ere0,−ϑt12+Zt1Eim0,−ϑt12.5