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\nSolving 2D equations using color, a story of winding numbers and composition\n

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\n\nPublisher:\n\n3Blue1Brown\n\n\n
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\nAn algorithm for numerically solving certain 2d equations. Even though we described how winding numbers can be used to solve 2d equations at a high level, it's worth pointing out that there are a few details missing for if you wanted to...\nAn algorithm for numerically solving certain 2d equations. Even though we described how winding numbers can be used to solve 2d equations at a high level, it's worth pointing out that there are a few details missing for if you wanted to actually implement this. For example, in order to determine how often to sample points, you'd want to have some bounds on the rate at which the direction of the output changes. We will perhaps discuss this more in a follow-on video!\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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24:44
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\n3Blue1Brown\n\n
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Date
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2018
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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pure mathematics, complex numbers, solving equations, equations
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Additional Tags

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maths, input point, leading term, output point, total amount, output space, winding, large region, colours, real number, green, total, sudden jumps, color wheel, number, input, swinging counterclockwise, mathematics, function takes, colours wind, tiny loop, complex polynomial, combine regions, winding number, pure maths, fundamental theorem, yellow, input space, further mathematics, further maths, main topic, tight loop, varying signs, colors wind, bigger, left
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Best For: Explaining a topic
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