Complex Analysis.
42 videos • 3,442 views • by aljabrak clips
1
Visualizing Euler's formula.
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2
Complex Mapping.
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3
Complex Mapping.
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4
Fluid flow near a wall.
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5
Fourier Series.
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6
Binet-Fibonacci Curve.
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7
Euler's Identity.
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8
Euler's Identity.
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9
Image of a Half-Plane under w = iz.
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10
Image of a Line under w = z^2.
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11
Image of a Semicircle under z^2.
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12
Image of a Circle under w = z^2 + iz - Re(z).
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13
Image of a Circular Arc under w = z^2.
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14
Complex Quadratic Map on Circular Arc.
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15
Image of Horizontal Lines under w = z^2.
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16
Image of Vertical Lines under w = z^2.
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17
Image of a Circular Wedge under w = z^3.
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18
Image of a Circular Sector under w = √z.
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19
Image of a Semicircle under w = 1/z.
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20
Image of a Line under w = 1/z.
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21
Image of Lines to Circles under w = 1/z.
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22
Image of a Semi-infinite Strip under w = 1/z.
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23
Image of Vertical Lines under w = e^z.
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24
Image of a Grid under w = e^z.
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25
Image of an Annulus under w = log(z).
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26
Image of a Grid under w = sin(z).
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27
Image of Horizontal Lines under w = sin(z).
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28
Image of Vertical Lines under w = sin(z).
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29
Image of a Square Grid under w = conjugate(z)^2 * sin(z).
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30
Complex Arithmetic Operations.
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31
e^(2πi) = 1.
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32
Complex Plane Translation.
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33
Complex Plane Rotation.
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34
Domain Coloring.
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35
Domain Coloring of sin(z).
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36
Domain Coloring of cos(z).
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37
Domain Coloring of tan(z).
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38
Domain Coloring of Riemann Zeta ζ(s).
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39
Input Plane to Output Plane Domain Coloring of tan(z).
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40
Complex Mapping on Dot Grid.
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41
Domain Coloring of ln(z).
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42
Colormap of Complex Plane ℂ.
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