'Cos sin' presentation slideshows

Lecture 2: Crystallization & Symmetry

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CS B659: Principles of Intelligent Robot Motion

CS B659: Principles of Intelligent Robot Motion. Rigid Transformations and Collision Detection. Probabilistic Roadmaps. How to test for collision?. q 2. q 1. Articulated Robot. Robot: usually a rigid articulated structure Geometric CAD models, relative to reference frames

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1. ????????

?????????. 1. ????????. ???. (1) A ? B ? O ????? ?. y. B. ?. ?. x. 1. O. A. ????????. To be continued ? (2) A ? B ???? & (3) A ? B ? O ????. ????????. (2) A ? B ???? ??? ? = ? ?. = 1 ?. = 1 ?. To be continued ? (3) A ? B ? O ????. ????????.

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Computer Graphics

Computer Graphics. Zhen Jiang West Chester University. Topics. Curves 2D and 3D Clipping Projection and shadow Animation. Curves. Parametric cubic polynomial curves Interpolation (interpolating polynomials) Bezier Curve. Curves. Where is the position for the next point? K=4. K=3.

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Vertex Program Modules

Vertex Program Modules. Erik Lindholm erikl@nvidia.com. Vertex Program Modules.

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ELE130 Electrical Engineering 1

ELE130 Electrical Engineering 1. Week 5 Module 3 AC (Alternating Current) Circuits. Administration. Quiz - next week in lecture material from weeks 4, 5 & 6 Laboratory Test postponed from next week to the week following Easter break (from week 6 to week 7)

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Sunset Phenomena

Sunset Phenomena. Roger Bailey North American Sundial Society Hartford Oct 1999. Sunset Phenomena. Sunset Phenomena. Simple spherical trigonometry can be used to determine for any location and day of the year When sunset occurs, Where the sun sets on the horizon,

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Example Find the cylindrical coordinates for each of the following:

For each point ( x,y,z ) in R 3 , the cylindrical coordinates ( r , ?, z ) are defined by the polar coordinates r and ? (for x and y ) together with z. Example Find the cylindrical coordinates for each of the following: ( x , y , z ) = (6 , 6 ?3 , 8)

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EXAMPLE 1

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Calculate the Tension:

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The Rose Curve

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The Rose Curve

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Centripetal Acceleration

This is an animated derivation using polar coordinates that produces both the magnitude and direction of the centripetal acceleration on an object moving at constant speed around a circular path. To use it you will have to provide the narration. Best wishes,

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Sun Position Calculations

Sun Position Calculations. Paul Calder Flinders University. Declination. If orbit was circular -23.45 cos(360/365 * (N+10)) Since orbit is actually (slightly) elliptical, use 3rd order harmonic year angle ( ? degrees) = N * 360/365

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EXAMPLE 3

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Derivation of the 2D Rotation Matrix Changing View from Global to Local

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