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2. Repeated linear interpolation
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First we'll review De Casteljau's algorithm using three points. Then it's your turn to figure out how to do it with 4 points!

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
2. Robot combinations
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Let's review the multiplication principle which allows us to quickly count the number of possible robots.

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
2. Weighted subdivision
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Next let's extend the averaging step from the previous lesson to include multiple points. Now we'll need to calculate positions using a weighted average.

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Calculate intersection point
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Now we are ready to calculate an intersection point using our ray CP (parametric form) and our line AB (slope-intercept form).

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Calculating factorials
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Now that we have a feeling for constructing permutations let's introduce the factorial formula to make counting them easy.

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Completing the proof
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In this video we'll uncover the connection between the previous diagram and the rotation formulas. Repeat viewing suggested!

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Fun with weights
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Let's take a closer look at the weights used during subdivision. Do we have to be careful when selecting weights?

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Light rays
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Let's look more closely at how light bounces when it strikes an object. We'll cover reflected and refracted rays.

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021
3. Parabolic arcs
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Are we really creating parabolic curves using this construction? Let's gain some insight first.

Subject:
Computer Science
Creative and Applied Arts
Graphic Arts
Information Technology
Life Science
Physical Science
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
08/10/2021