Download lean/OAI/MeasureTheory/FalconerCompletion/Angular/AngularTransform.lean from roseking/openAI-math-dataset: direct link, hf CLI and curl.
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- Download file 680 Bytes
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https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/MeasureTheory/FalconerCompletion/Angular/AngularTransform.lean
- Command line
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/MeasureTheory/FalconerCompletion/Angular/AngularTransform.lean
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curl -L -o AngularTransform.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/MeasureTheory/FalconerCompletion/Angular/AngularTransform.lean
680 Bytes
| import Mathlib | |
| import OAI.MeasureTheory.FalconerCompletion.Sphere.SphereAmbient2 | |
| namespace OAI | |
| /-! Angular cutoffs and derivative estimates. -/ | |
| section | |
| section | |
| open Set MeasureTheory | |
| open scoped ComplexConjugate RealInnerProductSpace | |
| namespace GraphLiteralSupport | |
| namespace Attempt4PrefixShell | |
| open MeasureTheory Set | |
| variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V] | |
| variable [MeasurableSpace V] | |
| noncomputable def sourceAngularTransformND (ρ : Measure V) (X : Set V) (M : ℝ) | |
| (b : V → V → ℂ) (r : ℝ) (w : V) : ℂ := | |
| M⁻¹ • ∫ x in X, spherePlaneWaveND r x w*b x w ∂ρ | |
| end Attempt4PrefixShell | |
| end GraphLiteralSupport | |
| end | |
| end | |
| end OAI | |