MAKE A MEME
View Large Image
| View Original: | LogConvergenceAnim.gif (500x516) | |||
| Download: | Original | Medium | Small | Thumb |
| Courtesy of: | commons.wikimedia.org | More Like This | ||
| Keywords: LogConvergenceAnim.gif en A plot showing the convergence of the power series about 1 for log at <math>e i \pi - \frac 1 3 </math> Mathematica Own Kan8eDie 2008-02-10 Source <code> Export anim gif Table ListPlot Table it NormalSeriesLogz + 1 z 0 n / z -> Exp \Pi - 1/3 I; Reit Imit n 0 a PlotRange -> 0 1 8 Joined -> True Mesh -> All AxesLabel -> Style\GothicCapitalR Medium Style\GothicCapitalI Medium AspectRatio -> 1 ImageSize -> 500 Epilog -> it Log1 + Exp \Pi - 1/3 I; DarkerBlue Text Style HoldForm Subscriptz n Sum -1 k + 1 \ExponentialE k i \Pi - 1/3 /k k 1 n 15 Antialiasing -> True -0 8 0 5 Red PointSize0 01 Point Reit Imit TextStyle HoldForm Log1 + \ExponentialE i \Pi - 1/3 Sum -1 k + 1 \ExponentialE k i \Pi - 1/3 /k k 1 Infinity 15 Reit Imit - 0 2 -0 6 1 a 5 77 3 DisplayDurations -> PadLeft 1 25 0 1 </code> Complex analysis Convergent series | ||||
