Theorems · Theorem · probability
ProbabilityTheory.variance_continuousLinearMap_gaussianReal
∀ {μ : ℝ} {v : NNReal} (L : ℝ →L[ℝ] ℝ),
ProbabilityTheory.variance (⇑L) (ProbabilityTheory.gaussianReal μ v) = ↑(L 1 ^ 2).toNNReal * ↑v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- ContinuousLinearMapstatement and proof · cited by 5,352
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- ContinuousLinearMap.toLinearMapproof · cited by 528
- Real.toNNRealstatement · cited by 267
- ProbabilityTheory.variancestatement · cited by 104
- ProbabilityTheory.gaussianRealstatement · cited by 77
- ProbabilityTheory.variance_linearMap_gaussianRealproof · cited by 1
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