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You can assume that o narrower than the oI Note that while I do

You can assume that o narrower than the oI Note that while I do

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Compute the convolution f * f of the function ƒ (defined below) with itself: 1 f(r) = -e -z²/20² w You can assume that o is a positive real number. Tell me if the convolution is wider or narrower than the original Gaussian. Note that while I don't care much about overall multiplicative factors of 2 or a in front of the function, I care very much about the value of the exponent. Factors of 2 in the exponent are crucial here, so be careful. SO
Transcribed Image Text:Compute the convolution f * f of the function ƒ (defined below) with itself: 1 f(r) = -e -z²/20² w You can assume that o is a positive real number. Tell me if the convolution is wider or narrower than the original Gaussian. Note that while I don't care much about overall multiplicative factors of 2 or a in front of the function, I care very much about the value of the exponent. Factors of 2 in the exponent are crucial here, so be careful. SO
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