Question

Hornik, Stinchcombe, and White used this theorem to prove an analog of it for neural networks that is often called the UAT. A probabilistic proof of this theorem applies the weak law of large numbers to a sequence of functions named for Bernstein. In its modern form, this theorem is typically stated in terms (15[1])of sub-algebras that separate (15[1])points and contain a nonzero constant. This theorem implies that the space (*) C-zero-comma-one is separable with respect to capital-L-infinity, meaning that it has a countable dense subset. For suitable functions f, this theorem gives a function p such that the maximal distance between f and p is less than epsilon. For 10 points, name this theorem that states that any (-5[1])continuous (10[1])function on a bounded interval can be arbitrarily approximated (10[1]-5[1])by a polynomial, (10[1]-5[1])developed by a German mathematician and generalized by Marshall H. Stone. ■END■ (10[4])

ANSWER: Weierstrass approximation theorem [or Stone–Weierstrass theorem] (The UAT is the universal approximation theorem.)
<Tim Morrison, Other Science - Mathematics>
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Summary

2023 Chicago Open08/05/2023Y9100%22%33%117.00

Buzzes

PlayerTeamOpponentBuzz PositionValue
Vincent DuQuasicrystal SilenceI would prefer not to5315
Jeremy CummingsHang et al., Robert BrowningEvans Hall destruction awaiters5715
Jaimie CarlsonTeach Us to Outgrow Our Ladness[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?117-5
Rein OtsasonThe CanadiansThe Plague (anime)" was redirected to: "Oran High School Host Club11810
Iain CarpenterDon't be Afraid, the Clown's Afraid TooThe Catastrophic Implosion of Packet Sub127-5
Vishwa ShanmugamIn Search of Things PastSaint Peter Andre 300012710
Billy BusseBHSUThe anti-STOON-dahl cabal (the tall Keyal et al.)13010
Mike SoriceTeam Name Think Detailremembrance of lost time130-5
Adam FineThe Catastrophic Implosion of Packet SubDon't be Afraid, the Clown's Afraid Too14210
Connor Mayersremembrance of lost timeTeam Name Think Detail14210
Ali HamzehI prefer really not to speak. If I speak I’m in big troubleRomanos IV Diogenes’ Macaroni Grill14210
Joel Miles[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?Teach Us to Outgrow Our Ladness14210