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...


Compute the convolution f * f of the function ƒ (defined below) with itself:<br>1<br>f(r) = -e<br>-z²/20²<br>w<br>You can assume that o is a positive real number. Tell me if the convolution is wider or<br>narrower than the original Gaussian.<br>Note that while I don't care much about overall multiplicative factors of 2 or a in front of the<br>function, I care very much about the value of the exponent. Factors of 2 in the exponent are crucial<br>here, so be careful.<br>SO<br>

Extracted 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

Jun 04, 2022
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