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Rational Curvature, Winding, and Turning in Algebraic Topology - Lecture 11

Insights into Mathematics via YouTube

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Overview

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This lecture introduces a rational measure of turning, called the turn-angle, and uses it to describe polygons. It also covers winding numbers and the turning number of a planar curve.

Syllabus

Introduction
AngleSpread Rational Trigonometry- Overview
Q. How to describe the amount of turning?
Turn of the basics unit
Turn angles
Quadrilateral Turn angles
n-gon computation
Convex polygon
General n-gon
Alternate approach of the T angle
Total curvature of Convex Polygon
Winding numbers of a curve
The turning on different points of the curve
Turning number of a smooth curve

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Insights into Mathematics

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