Theorems · Theorem · information theory
Real.hasDerivAt_qaryEntropy
∀ {q : ℕ} {p : ℝ}, p ≠ 0 → p ≠ 1 → HasDerivAt (Real.qaryEntropy q) (Real.log (↑q - 1) + Real.log (1 - p) - Real.log p) p- Cited by
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- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.logstatement · cited by 939
- HasDerivAtstatement · cited by 493
- DifferentiableAt.hasDerivAtproof · cited by 114
- Real.qaryEntropystatement · cited by 18
- Real.deriv_qaryEntropyproof · cited by 6
- Real.differentiableAt_qaryEntropyproof · cited by 1
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