Download lean/OAI/Analysis/IrrationalRotation/Model/ContinuousConstruction.lean from roseking/openAI-math-dataset: direct link, hf CLI and curl.
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https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Analysis/IrrationalRotation/Model/ContinuousConstruction.lean
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/Analysis/IrrationalRotation/Model/ContinuousConstruction.lean
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curl -L -o ContinuousConstruction.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Analysis/IrrationalRotation/Model/ContinuousConstruction.lean
968 Bytes
| import OAI.Analysis.IrrationalRotation.Model.BackgroundData | |
| import OAI.Analysis.IrrationalRotation.Model.ParameterSmoothing | |
| namespace OAI | |
| noncomputable section | |
| namespace Invariant233.CircleParameterData | |
| def rawCost (p : CircleParameterData) (θ : ℝ) (x : Circle) : ℝ := | |
| ∑' n : ℕ, p.rawBlock θ (n + 1) x | |
| def continuousCost (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ) | |
| (x : Circle) : ℝ := | |
| backgroundCost d x + ∑' n : ℕ, p.relocatedBlock θ (n + 1) x | |
| def continuousTransfer (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ) | |
| (x : Circle) : ℝ := | |
| backgroundTransferSum d x - ∑' n : ℕ, | |
| (p.smoothBlockTransfer θ (n + 1) x + p.relocatedBlockTransfer θ (n + 1) x) | |
| def continuousWeight (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ) : | |
| Circle → ℝ := | |
| Function.update (fun x => Real.exp (-p.continuousCost θ d x)) 0 0 | |
| end Invariant233.CircleParameterData | |
| end | |
| end OAI | |