Category:Complex analysis

Subcategories

This category has the following 15 subcategories, out of 15 total.

Media in category "Complex analysis"

The following 200 files are in this category, out of 306 total.

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  A plot of the absolute value function abs(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 708; 326 KB
  
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  A plot of the Coshc function Cosh(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 699; 832 KB
  
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  A plot of the cothc function Cothc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 693; 902 KB
  
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  A plot of the cschc function cschc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 1,338 × 1,245; 1.93 MB
  
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  A plot of the sechc function Sechc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 700; 766 KB
  
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  A plot of the Sinhc function Sinhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 686; 433 KB
  
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  A plot of the tanhc function Tanhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 694; 498 KB
  
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  Absolute argument plot of the gamma function from z=-4 to 7 created in Mathematica 13.1.svg 785 × 541; 131 KB
  
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  Absolute Tau function for x up to 16,000 with logarithmic scale.JPG 618 × 376; 43 KB
  
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  Aem well and elliptical lake.tif 3,500 × 2,625; 1.44 MB
  
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  Algèbre Z.jpg 1,302 × 826; 199 KB
  
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  Arctangente Yantra.jpg 960 × 482; 34 KB
  
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  Argument principle1.png 200 × 168; 7 KB
  
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  Argument principle1.svg 212 × 173; 11 KB
  
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  Arguments-2.png 1,269 × 1,216; 79 KB
  
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  Beta Function plotted in the complex plane in three dimensions with Mathematica 13.1's ComplexPlot3D.svg 785 × 696; 848 KB
  
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  Biholomorphism illustration.svg 4,709 × 8,557; 43 KB
  
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  Bridge over nothing.JPG 308 × 183; 7 KB
  
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  Cauchy integral formula two circles.svg 425 × 425; 1 KB
  
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  Cauchy-Riemann.png 955 × 697; 256 KB
  
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  Cauchy-Riemann.svg 744 × 531; 27 KB
  
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  CauchyIntegralFormula.png 409 × 316; 14 KB
  
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  Cayley-transform.png 790 × 458; 6 KB
  
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  Cerchio grande.JPG 640 × 480; 15 KB
  
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  Cerchio piccolo.JPG 640 × 480; 15 KB
  
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  CircunelipseSteiner.png 3,256 × 2,056; 299 KB
  
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  Complex Arccosecant.svg 540 × 360; 317 KB
  
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  Complex Arccosine.svg 540 × 360; 259 KB
  
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  Complex Arccotangent.svg 540 × 360; 215 KB
  
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  Complex Arcsecant.svg 540 × 360; 240 KB
  
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  Complex Arcsine.svg 540 × 360; 305 KB
  
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  Complex Arctangent.svg 540 × 360; 263 KB
  
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  Complex Color map.svg 540 × 360; 89 KB
  
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  Complex Kneser's super-logarithm, base = 0.8.png 1,353 × 869; 106 KB
  
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  Complex Kneser's super-logarithm, base = sqrt(2).png 1,353 × 869; 89 KB
  
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  Complex Kneser's Tetration when abs(base)=10^6.gif 1,620 × 1,042; 17.86 MB
  
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  Complex Kneser's Tetration when abs(base)=e.gif 1,353 × 869; 9.98 MB
  
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  Complex Kneser's Tetration when base is a real number.gif 1,353 × 869; 13.73 MB
  
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  Complex log domain.svg 569 × 426; 107 KB
  
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  Complex number illustration multiarg.svg 152 × 158; 14 KB
  
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  Complex number illustration.svg 180 × 180; 1 KB
  
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  Complex Plots.png 2,308 × 833; 627 KB
  
• Complex sequence 1 Z2.webm 12 s, 1,280 × 720; 3.05 MB
  
• Complex sequence.webm 13 s, 1,280 × 720; 3.05 MB
  
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  Complex super-logarithm, base = eta, part.png 4,302 × 3,914; 2.05 MB
  
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  Complex super-logarithm, base = eta.png 4,299 × 3,914; 1.25 MB
  
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  Complex-plot.png 579 × 445; 139 KB
  
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  ComplexErfz.png 555 × 424; 147 KB
  
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  ComplexExp2.png 555 × 424; 233 KB
  
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  ComplexResiduesExample.png 945 × 1,033; 382 KB
  
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  ComplexSign.svg 425 × 354; 85 KB
  
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  ComplexSign4.png 400 × 300; 4 KB
  
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  ComplexZeros40.svg 1,966 × 300; 243 KB
  
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  Conditions for convergence of binomial series.svg 829 × 853; 29 KB
  
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  Conformal grid after Möbius transformation.svg 288 × 288; 5 KB
  
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  Conformal grid after.png 288 × 288; 11 KB
  
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  Conformal grid before.png 288 × 288; 4 KB
  
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  Conformal map.svg 535 × 937; 34 KB
  
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  Conforme1.png 1,176 × 686; 63 KB
  
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  Conforme2.png 1,179 × 624; 114 KB
  
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  ConstruccionInelipseSteiner.png 2,842 × 2,478; 341 KB
  
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  Contour Application Determination.jpg 411 × 308; 46 KB
  
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  Contour det log.svg 616 × 572; 23 KB
  
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  Contour det sqrt.jpg 574 × 459; 71 KB
  
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  Contour det sqrt.svg 582 × 512; 291 KB
  
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  Contour example 2.svg 182 × 101; 5 KB
  
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  Contour example.svg 182 × 101; 5 KB
  
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  Contour Illustration Residu a infini1.jpg 513 × 341; 43 KB
  
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  Contour of KKR.svg 417 × 338; 7 KB
  
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  Contour res inf.png 563 × 324; 12 KB
  
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  Contour thm res 2.svg 890 × 430; 146 KB
  
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  Contour thm res vp.svg 895 × 430; 92 KB
  
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  Contour thm residus 2.jpg 637 × 435; 54 KB
  
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  Contour thm residus 3.jpg 492 × 294; 27 KB
  
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  Contour thm residus 3.png 495 × 278; 7 KB
  
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  Contour vp Cauchy thm residus.jpg 721 × 299; 65 KB
  
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  ContourDiagram j.png 2,000 × 1,061; 91 KB
  
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  ContourDiagram.png 600 × 338; 21 KB
  
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  ContourDiagram.svg 179 × 95; 8 KB
  
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  ContourDiagram2 j.png 600 × 338; 19 KB
  
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  Contours in the vector field f(z) = -Cos(z).jpg 500 × 231; 173 KB
  
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  Contours of holomorphic function.png 360 × 347; 40 KB
  
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  Convexesimple.png 479 × 452; 112 KB
  
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  Coronalaurent.jpg 262 × 255; 10 KB
  
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  Cosc.svg 582 × 426; 131 KB
  
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  Couronne.png 500 × 500; 14 KB
  
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  Cplot Lambert series.png 619 × 445; 128 KB
  
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  Cplot Lambert W.png 592 × 445; 68 KB
  
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  Cplot of exp(1z).png 610 × 445; 81 KB
  
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  Cplot of Jacobi theta 1.svg 574 × 426; 246 KB
  
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  Cplot zeta.svg 462 × 426; 125 KB
  
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  Curves.png 626 × 563; 4 KB
  
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  Depicting complex numbers.JPG 353 × 228; 6 KB
  
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  Dessindenfant8bis.jpg 1,119 × 716; 70 KB
  
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  Digamma.png 590 × 438; 84 KB
  
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  Divergent series Octave.png 560 × 430; 17 KB
  
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  Domain of holomorphy illustration.svg 1,136 × 969; 4 KB
  
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  Domain of holomorphy illustration2.png 1,152 × 1,008; 41 KB
  
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  Dream of Gold.jpg 431 × 435; 258 KB
  
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  El PI mas elegante-IBO.jpg 797 × 231; 42 KB
  
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  Ellipj-cn08.png 443 × 438; 175 KB
  
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  Ellipj-dn08.png 443 × 438; 164 KB
  
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  Ellipj-sc08.png 443 × 438; 157 KB
  
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  Ellipj-sn-08.png 443 × 438; 151 KB
  
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  Erays.png 1,000 × 500; 17 KB
  
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  Erays.svg 1,000 × 500; 612 KB
  
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  EssentialSingularity.svg 1,813 × 1,804; 837 KB
  
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  Eta plot.gif 818 × 472; 10 KB
  
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  Euler function.png 619 × 445; 132 KB
  
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  Exempelområde.png 556 × 537; 25 KB
  
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  Exp-complex-cplot.svg 557 × 426; 87 KB
  
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  Exp1z.png 452 × 422; 88 KB
  
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  ExpComplex.svg 1,813 × 1,808; 266 KB
  
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  ExponentielleComplexe Conjugué.png 283 × 350; 18 KB
  
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  ExponentielleComplexe Oppose2.png 301 × 296; 21 KB
  
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  ExponentielleComplexe ValeursParticulieres.png 300 × 302; 17 KB
  
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  ExponentielleComplexe ValeursParticulieres2.png 298 × 300; 17 KB
  
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  Faddeeva.svg 557 × 426; 163 KB
  
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  Fenêtre de Carleson.png 677 × 545; 32 KB
  
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  Finding real part of Lamber W.png 500 × 500; 14 KB
  
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  Five Antiderivatives of exp(xx+1div(xx)) II.png 1,232 × 934; 138 KB
  
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  Fonction zêta de Riemann.jpg 1,726 × 908; 338 KB
  
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  Fonction zêta décomposée.jpg 1,726 × 742; 422 KB
  
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  Fonction zêta.jpg 833 × 482; 40 KB
  
• Fonction-zêta lenticulaire.ogv 2 min 15 s, 400 × 224; 4.24 MB
  
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  Formula di Cauchy.gif 247 × 231; 2 KB
  
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  Fresnel C with domain coloring.svg 565 × 426; 338 KB
  
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  Fresnel c.svg 557 × 426; 372 KB
  
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  Fresnel S with domain coloring.svg 565 × 426; 337 KB
  
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  Fresnel s.svg 557 × 426; 371 KB
  
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  Frontiers of Nevanlinna Theory I MMB 01 Jim Langley.jpg 3,237 × 1,953; 1.6 MB
  
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  Frontiers of Nevanlinna Theory I MMB 02 Gwyneth Stallard, Phil Rippon and Walter Bergweiler.jpg 3,008 × 2,048; 1.7 MB
  
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  Frontiers of Nevanlinna Theory I MMB 03 Walter Bergweiler.jpg 2,274 × 3,252; 2.06 MB
  
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  Functional calculus illustration1.png 544 × 574; 26 KB
  
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  Functional calculus illustration2.png 700 × 896; 45 KB
  
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  Functional calculus illustration3.png 470 × 446; 33 KB
  
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  Funktioteoria lehto.jpg 2,448 × 3,264; 2.16 MB
  
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  Gamma cplot.svg 565 × 426; 152 KB
  
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  Gaussplane kartesianAndPolar.png 300 × 300; 2 KB
  
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  Gaußsche Zahlenebene.svg 370 × 270; 31 KB
  
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  Hankel contour (caimi).svg 189 × 121; 7 KB
  
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  Herman period=2.png 2,092 × 909; 59 KB
  
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  Herman Standard.png 2,251 × 1,201; 217 KB
  
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  Herman+Parabolic.png 1,768 × 741; 95 KB
  
• Holomorphic Maps.webm 12 s, 720 × 720; 2.16 MB
  
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  Holomorphiegebiet.GIF 235 × 136; 3 KB
  
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  HypComp3.png 1,000 × 500; 7 KB
  
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  Hyperfactorial Video from -5 to 5.gif 2,122 × 1,050; 818.98 MB
  
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  Icosahedral reflection domains.png 811 × 812; 184 KB
  
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  Identity domain coloring.svg 415 × 399; 107 KB
  
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  Inconic+Circunconic.png 3,328 × 2,352; 282 KB
  
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  InelipseSteiner.png 2,862 × 1,797; 223 KB
  
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  Integral sine in the complex plain.svg 582 × 426; 135 KB
  
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  Integrationscirklar.png 410 × 411; 25 KB
  
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  InversePolynomialComplexPlot.svg 883 × 878; 116 KB
  
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  Inversion123.png 768 × 703; 45 KB
  
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  Iray.png 1,000 × 500; 9 KB
  
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  JacobiFunctionAbstract.png 644 × 362; 2 KB
  
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  Julia set of the quadratic polynomial f(z) = z^2 - 1.12 + 0.222i.png 4,000 × 2,000; 547 KB
  
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  Kkgraf1.png 486 × 216; 5 KB
  
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  Kkgraf2.png 501 × 216; 6 KB
  
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  KomplexKubiskRepresentation.png 811 × 828; 33 KB
  
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  Konservative Kraft Wege.png 533 × 417; 16 KB
  
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  Konservative Kraft Wege.svg 512 × 427; 1 KB
  
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  Kramersgifwiki.gif 1,064 × 760; 473 KB
  
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  KramersKronig.svg 833 × 341; 414 KB
  
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  Kreis3 6Teilung.svg 600 × 600; 2 KB
  
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  Kreis3Teilung.svg 600 × 600; 2 KB
  
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  Kreis5Teilung.svg 600 × 600; 2 KB
  
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  Kreis6Teilung.svg 600 × 600; 2 KB
  
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  Lambda function.svg 450 × 309; 30 KB
  
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  Lambert-W.png 437 × 422; 56 KB
  
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  LogComplexPlot.svg 1,813 × 1,808; 354 KB
  
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  LogConvergenceAnim.gif 500 × 516; 210 KB
  
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  Marden theorem.svg 633 × 732; 31 KB
  
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  Maximum modulus principle.png 675 × 711; 30 KB
  
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  Metropolis at 30K.jpg 502 × 506; 313 KB
  
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  ML expansion illustration.png 1,621 × 1,508; 77 KB
  
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  ML-star.png 1,621 × 1,508; 129 KB
  
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  ML-uppskattning.png 837 × 555; 50 KB
  
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  Mob3d-lox-opp-200.png 200 × 150; 22 KB
  
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  Modknot11.png 564 × 564; 34 KB
  
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  Monodromy action.svg 37 × 81; 10 KB
  
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  MovingSingularity.png 640 × 480; 6 KB
  
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  NombresComplexes.png 5,735 × 2,204; 339 KB
  
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  Non-holomorphic complex conjugate.svg 92 × 139; 65 KB
  
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  Number of divisors of Gaussian integers.png 3,300 × 3,300; 597 KB
  
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  Numero imaginario-real IBO.jpg 881 × 414; 65 KB
  
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  Oblast pro cauchyovu vetu.svg 248 × 208; 6 KB
  
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  Openmappingtheorem.png 945 × 591; 50 KB
  
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  PartitionsPowerSeriesComplexPlot.svg 1,813 × 1,804; 821 KB
  
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  Pathological phenomenon for fatou super-logarithm when abs(base)=Pi.gif 1,353 × 869; 6.93 MB
  
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  Pathological phenomenon for fatou tetration when abs(base) close to 1.gif 1,570 × 1,022; 3.32 MB
  
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  Plan Hyperbolique.svg 503 × 503; 6 KB
  
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  Plot of gamma function in the complex plane from -2-i to 6+2i with colors created in Mathematica.svg 863 × 461; 1.12 MB
  
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  Plot of the arctangent function arctan(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 689; 843 KB
  
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  Plot of the arctangent function of z^2 arctan(z^2) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 690; 961 KB
  
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  Plot of the arithmetic-geometric mean function with 1 and z in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 979 × 898; 703 KB
  
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  Plot of the Bateman function k n(z) with n=7 in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 699; 1,016 KB
  
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  Plot of the complex argument function arg(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 699; 483 KB