Consider two points S and S ′ randomly placed inside a D-dimensional hyper-rectangular room with walls that are perfect-reflecting (D − 1)-dimensional hyper-plane mirrors. How many different light-rays that start from S, reflect N times on one of the walls and N − 1 times on each of the rest, then go to S ′ ? Use D = 7 and N = 3.
Consider two points S and S ′ randomly placed inside a D-dimensional hyper-rectangular room with walls that are perfect-reflecting (D − 1)-dimensional hyper-plane mirrors. How many different light-rays that start from S, reflect N times on one of the walls and N − 1 times on each of the rest, then go to S ′ ? Use D = 7 and N = 3.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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Consider two points S and S ′ randomly placed inside a D-dimensional hyper-rectangular room with walls that are perfect-reflecting (D − 1)-dimensional hyper-plane mirrors. How many different light-rays that start from S, reflect N times on one of the walls and N − 1 times on each of the rest, then go to S ′ ? Use D = 7 and N = 3.
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