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arkadiusz-jadczyk.eu
| | www.reedbeta.com

Pixels and polygons and shaders, oh my!
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| | stephenmalina.com

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.
3.8 parsecs

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| | www.sirver.net

[AI summary] The article explains the geometric interpretation of the least squares problem using linear algebra concepts like projection and column spaces.
3.9 parsecs

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| | www.johndcook.com

Analogs of Euler's formula exp(ix) = cos(x) + i sin(x) in other number systems, namely dual numbers and double numbers.
23.9 parsecs

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