inclass5-norms - [1/9 Measure of Length vs Measure of...

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3/15/2016 [1/9] Measure of Length vs. Measure of Distance - In-class work: Norms - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/89566/0/ 1/1 Measure of Length vs. Measure of Distance A norm can be used to measure the length of a vector by calculating . To calculate the distance between two points given by position vectors and , one would use: x x x y Choice* | x y | x y x + y x−y
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3/15/2016 [2/9] Scaling inside of a Norm - In-class work: Norms - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/89566/1/ 1/1 Scaling inside of a Norm Let be a vector and be a norm. Then . v ∥⋅∥ (−4)v =_______ v
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3/15/2016 [3/9] Unit Ball of the Infinity Norm - In-class work: Norms - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/89566/2/ 1/1 Unit Ball of the Infinity Norm Which of the following traces the line where ? x ∞=1 Choice* A circle of diameter 1 with its center at the origin?
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