List questions from winding-number

Published on 26 Mar 2026 - 13:52

117

Views

polynomials converges uniformly on region converges uniformly on simply connected region

Published on 22 Apr 2020 - 22:09

268

Views

Winding number of a closed path

Published on 30 Mar 2026 - 12:02

205

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Winding number of discontinuous map

Published on 27 Mar 2026 - 10:03

183

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Determine the change of the argument of the function $f(z)=z^2+1+\frac{5}{z}+\frac{1}{z^2}$ as z traverses the unit circle once counterclockwise.

Published on 02 Jul 2020 - 23:44

98

Views

Toeplitz Kernel Question

Published on 27 Mar 2026 - 1:20

119

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Closed curve not passing origin and winding number (complex analysis)

Published on 23 Jul 2020 - 6:46

428

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Homotopy of closed curves is also a closed curve?

Published on 26 Mar 2026 - 20:44

600

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Why is the winding number defined as $\frac{1}{2\pi i}\oint_C \frac{f'(z)}{f(z)}dz$?

Published on 18 Jul 2016 - 5:27

1.1k

Views

Winding number of a polynomial

Published on 06 Apr 2026 - 16:15

273

Views

Winding Number Problem

Published on 10 Apr 2026 - 7:00

76

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Show that the image of a simple contour under $f(z) = \dfrac{1}{z-1}$ encircles the origin once counter clockwise

Published on 02 Apr 2026 - 18:07

1.2k

Views

Why is the winding number of a matrix an integer?

Published on 21 Nov 2016 - 10:49

874

Views

Is Wikipedia's "Pochhammer contour" wrong? It's winding number is NOT zero around some points.

Published on 05 Dec 2016 - 4:11

91

Views

The Maurer-Cartan invariant for the gauge theory in 4D

Published on 25 Mar 2026 - 14:24

List Question

Curvature and turning number of $t \mapsto (\cos(t), \sin(3t))$

polynomials converges uniformly on region converges uniformly on simply connected region

Winding number of a closed path

Winding number of discontinuous map

Determine the change of the argument of the function $f(z)=z^2+1+\frac{5}{z}+\frac{1}{z^2}$ as z traverses the unit circle once counterclockwise.

Toeplitz Kernel Question

Closed curve not passing origin and winding number (complex analysis)

Homotopy of closed curves is also a closed curve?

Why is the winding number defined as $\frac{1}{2\pi i}\oint_C \frac{f'(z)}{f(z)}dz$?

Winding number of a polynomial

Winding Number Problem

Show that the image of a simple contour under $f(z) = \dfrac{1}{z-1}$ encircles the origin once counter clockwise

Why is the winding number of a matrix an integer?

Is Wikipedia's "Pochhammer contour" wrong? It's winding number is NOT zero around some points.

The Maurer-Cartan invariant for the gauge theory in 4D

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