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codethrasher.com | ||
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arkadiusz-jadczyk.eu
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| | | | | We continue Becoming anti de Sitter. Every matrix $\Xi$ in the Lie algebra o(2,2) generates one-parameter group $e^{\Xi t}$ of linear transformations of $\mathbf{R}^4.$ Vectors tangent to orbits of this group form a vector field. Let us find the formula for the vector field generated by $\Xi. | |
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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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quanttype.net
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| | | | | Spoiler: It's not related to functional programming. | |
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www.ronja-tutorials.com
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| | | Often when doing VFX you want stuff to stick to the floor. Even when that floor is uneven. Or decals to make existing geometry more interresting, or you want blob shadows on uneven floor, or some other use-cases in the same direction. (note: I used the free "Nature Starter Kit 2" from the Unity Asset store throughout this tutorial) Unity has the concept of a "projector" for that, but I have to admit I dont quite trust them. | ||
