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www.paepper.com | ||
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www.johnmyleswhite.com
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| | | | | Lately, I've been running a series of fMRI experiments on visual perception. In the interests of understanding the underlying properties of the images I'm using as stimuli, I've been trying to learn more about the matrix transformations commonly used for image compression and image manipulation. Thankfully, R provides simple-to-use implementations for all of the matrix operations I wanted to play around with, so it's been quite easy to get started. For the next few posts, I thought that I'd review the st... | |
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stephenmalina.com
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| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
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jaykmody.com
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| | | | | Efficiently computing distances matrixes in NumPy. | |
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www.ethanepperly.com
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