Download lean/OAI/Analysis/IrrationalRotation/Model/BiasedTailDensity.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/BiasedTailDensity.lean
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/Analysis/IrrationalRotation/Model/BiasedTailDensity.lean
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curl -L -o BiasedTailDensity.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Analysis/IrrationalRotation/Model/BiasedTailDensity.lean
346 Bytes
| import Mathlib.MeasureTheory.Integral.Prod | |
| namespace OAI | |
| noncomputable section | |
| open MeasureTheory | |
| namespace Invariant233.BiasedTailDensity | |
| def tailDensity {P Z : Type*} [MeasurableSpace P] [MeasurableSpace Z] | |
| (μ : Measure P) (g : P × Z → ℝ) (z : Z) : ℝ := | |
| ∫ u, g (u, z) ∂μ | |
| end Invariant233.BiasedTailDensity | |
| end | |
| end OAI | |