Download lean/OAI/Geometry/CylinderCovering/Physical/CostDefinitions.lean from roseking/openAI-math-dataset: direct link, hf CLI and curl.
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- Download file 487 Bytes
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https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Geometry/CylinderCovering/Physical/CostDefinitions.lean
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/Geometry/CylinderCovering/Physical/CostDefinitions.lean
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curl -L -o CostDefinitions.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Geometry/CylinderCovering/Physical/CostDefinitions.lean
487 Bytes
| import OAI.Geometry.CylinderCovering.Physical.UnitEdgeFootprintsDefinitions | |
| namespace OAI | |
| noncomputable section | |
| namespace CylinderCovering.UnitEdgeFootprints | |
| def SourceCostStatement : Prop := | |
| (∀ η : ℝ, |η| ≤ 1 → | |
| |2 * limitingArea η (sourceCap η) - height * (1 / 4 - η ^ 2 / 960)| ≤ | |
| height * η ^ 4) ∧ | |
| (∀ η : ℝ, 0 < η → η ≤ 1 / 40 → | |
| 2 * limitingArea η (sourceCap η) < height / 4) | |
| end CylinderCovering.UnitEdgeFootprints | |
| end | |
| end OAI | |