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math/353276_66f50856c50fe99e_62.txt | The last decade has seen tremendous progress in our ability to *generate* realistic-looking data, be it images, text, audio, or video. Here, we discuss the ly related problem of *quantifying* realism, that is, designing functions that can reliably tell realistic data from unrealistic data. This problem turns out to be ... |
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math/2254655_d27c978779dc3cc1_45.txt | | | | | --- | --- | | | Fastener (Fast) Creates Beaver fastener element for assembly into a Beaver connection element | | | CrossScrews Assembles a cross screws connection based on two timber frame elements and an angle | | | SemiRigidConnection Assembles the connection spacings to be used in the connection analys... |
math/3040e8e9_148309.txt | de Rham's theorem shows that this homomorphism is in fact an isomorphism. So the converse to 1 and 2 above hold true. In other words, if ci are cycles generating the k-th homology group, then for any corresponding real numbers ai , there exist a closed form ω displaystyle omega such that |
math/735679_38f92ec619efd747_119.txt | Thus every type of element Π\*k\* is derivable by removing a certain number of nodes from the symbol for the whole polytope or honeycomb. So far as the element itself is concerned, any unringed piece of the graph may be disregarded. But when we come to compute the *number* of elements of that type, the unringed pieces ... |
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math/59738_b57ad2f9f3f161df_79.txt | You also mentioned collisions of black holes – that indeed would throw up some interesting ideas! The 2 poloids are stable and at equilibrium. We introduce another one – so how could they possible combine? And after the collision have only 1 without mutual destruction? The poloids may in fact be tiny things the size of... |
math/3030191_8def6d31c59da930_314.txt | On a side note, the speech about the many Church sex abuse scandals is disgusting. I don’t take this as Wolfe deliberately giving us evidence of Chris being a depraved monster, it reads too sincerely and is consistent with the increasingly conservative crankery I’ve documented elsewhere (although I fully expect someone... |
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math/433094_2a95f3158919924b_28.txt | | Lecture | Section | Topics | | --- | --- | --- | | Week 1 | | Intro to Problem Analysis; intro to definition | | Week 2 | | Number: integers ? history and algebraic structure; comparing methods for teaching (-a)(-b) = +ab | | Week 3 | | Number: rationals ? definition and algebraic structure; comparing models for r... |
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math/2825922_ea43d09e3c6ae6ed_503.txt | sin x = x − x3/3! + x 5/5! − x 7/7! + . . . , where “!” stands for factorial. Although the series has infinitely many terms, these get small so quickly that only the first few terms make much of a contribution. power set The set of all subsets of a given set, including the empty set and the original set. For example, i... |
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math/ba180f8b_0943.txt | Xiwen Wei , Mustafa Munir , Radu Marculescu Unified Multimodal Generative Models (UMGMs) unify visual understanding and image generation within a single autoregressive framework. However, their ability to continually learn new tasks is severely hindered by catastrophic forgetting, both within a modality (intra-modal) a... |
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