feat(LinearAlgebra/Matrix/Block, Analysis/Normed/Algebra/MatrixExponential): add BlockTriangular.pow and BlockTriangular.exp#37006
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PR summary 83b5ecb723
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.Instances.Matrix | 1595 | 1598 | +3 (+0.19%) |
| Mathlib.Analysis.Normed.Algebra.MatrixExponential | 2147 | 2148 | +1 (+0.05%) |
Import changes for all files
| Files | Import difference |
|---|---|
369 filesMathlib.Algebra.Module.ZLattice.Basic Mathlib.Algebra.Module.ZLattice.Summable Mathlib.Analysis.BoundedVariation Mathlib.Analysis.BoxIntegral.Basic Mathlib.Analysis.BoxIntegral.DivergenceTheorem Mathlib.Analysis.BoxIntegral.Integrability Mathlib.Analysis.BoxIntegral.Partition.Measure Mathlib.Analysis.BoxIntegral.UnitPartition Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap Mathlib.Analysis.CStarAlgebra.Matrix Mathlib.Analysis.Calculus.AddTorsor.Coord Mathlib.Analysis.Calculus.BumpFunction.Basic Mathlib.Analysis.Calculus.BumpFunction.InnerProduct Mathlib.Analysis.Calculus.BumpFunction.Normed Mathlib.Analysis.Calculus.ContDiff.Convolution Mathlib.Analysis.Calculus.ContDiff.FiniteDimension Mathlib.Analysis.Calculus.Deriv.Abs Mathlib.Analysis.Calculus.FDeriv.Measurable Mathlib.Analysis.Calculus.FDeriv.Norm Mathlib.Analysis.Calculus.Gradient.Basic Mathlib.Analysis.Calculus.InverseFunctionTheorem.FiniteDimensional Mathlib.Analysis.Calculus.LineDeriv.Measurable Mathlib.Analysis.Calculus.Monotone Mathlib.Analysis.Calculus.ParametricIntegral Mathlib.Analysis.Calculus.ParametricIntervalIntegral Mathlib.Analysis.Complex.Conformal Mathlib.Analysis.Complex.Tietze Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic Mathlib.Analysis.Convex.Birkhoff Mathlib.Analysis.Convex.Cone.InnerDual Mathlib.Analysis.Convex.Continuous Mathlib.Analysis.Convex.DoublyStochasticMatrix Mathlib.Analysis.Convex.Integral Mathlib.Analysis.Convex.Intrinsic Mathlib.Analysis.Convex.Measure Mathlib.Analysis.Convolution Mathlib.Analysis.Distribution.DerivNotation Mathlib.Analysis.Distribution.TemperateGrowth Mathlib.Analysis.Fourier.AddCircleMulti Mathlib.Analysis.Fourier.AddCircle Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality Mathlib.Analysis.InnerProductSpace.Adjoint Mathlib.Analysis.InnerProductSpace.Calculus Mathlib.Analysis.InnerProductSpace.CanonicalTensor Mathlib.Analysis.InnerProductSpace.Coalgebra Mathlib.Analysis.InnerProductSpace.Dual Mathlib.Analysis.InnerProductSpace.EuclideanDist Mathlib.Analysis.InnerProductSpace.GramMatrix Mathlib.Analysis.InnerProductSpace.Harmonic.Basic Mathlib.Analysis.InnerProductSpace.Harmonic.HarmonicContOnCl Mathlib.Analysis.InnerProductSpace.Laplacian Mathlib.Analysis.InnerProductSpace.LaxMilgram Mathlib.Analysis.InnerProductSpace.LinearPMap Mathlib.Analysis.InnerProductSpace.MeanErgodic Mathlib.Analysis.InnerProductSpace.MulOpposite Mathlib.Analysis.InnerProductSpace.NormPow Mathlib.Analysis.InnerProductSpace.PiL2 Mathlib.Analysis.InnerProductSpace.ProdL2 Mathlib.Analysis.InnerProductSpace.Projection.Basic Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional Mathlib.Analysis.InnerProductSpace.Projection.Reflection Mathlib.Analysis.InnerProductSpace.Projection.Submodule Mathlib.Analysis.InnerProductSpace.TensorProduct Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology Mathlib.Analysis.InnerProductSpace.l2Space Mathlib.Analysis.LocallyConvex.Montel Mathlib.Analysis.Matrix.Hermitian Mathlib.Analysis.Matrix.Normed Mathlib.Analysis.Matrix Mathlib.Analysis.Normed.Affine.AddTorsorBases Mathlib.Analysis.Normed.Affine.AsymptoticCone Mathlib.Analysis.Normed.Affine.Convex Mathlib.Analysis.Normed.Algebra.MatrixExponential Mathlib.Analysis.Normed.Algebra.QuaternionExponential Mathlib.Analysis.Normed.Module.Dual Mathlib.Analysis.Normed.Module.FiniteDimension Mathlib.Analysis.Normed.Module.HahnBanach Mathlib.Analysis.Normed.Module.MultipliableUniformlyOn Mathlib.Analysis.Normed.Module.WeakDual Mathlib.Analysis.ODE.PicardLindelof Mathlib.Analysis.PSeriesComplex Mathlib.Analysis.Polynomial.Fourier Mathlib.Analysis.Quaternion Mathlib.Analysis.RCLike.Inner Mathlib.Analysis.RCLike.Lemmas Mathlib.Analysis.Real.Pi.Irrational Mathlib.Analysis.Real.Pi.Leibniz Mathlib.Analysis.Real.Pi.Wallis Mathlib.Analysis.SpecialFunctions.Complex.Arctan Mathlib.Analysis.SpecialFunctions.Complex.LogBounds Mathlib.Analysis.SpecialFunctions.Integrability.Basic Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic Mathlib.Analysis.SpecialFunctions.Integrals.Basic Mathlib.Analysis.SpecialFunctions.Integrals.LogTrigonometric Mathlib.Analysis.SpecialFunctions.JapaneseBracket Mathlib.Analysis.SpecialFunctions.Log.Summable Mathlib.Analysis.SpecialFunctions.MulExpNegMulSqIntegral Mathlib.Analysis.SpecialFunctions.NonIntegrable Mathlib.Analysis.SpecialFunctions.Pow.Integral Mathlib.Analysis.SpecialFunctions.Stirling Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.ChebyshevGauss Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Orthogonality Mathlib.Analysis.SumIntegralComparisons Mathlib.Analysis.VonNeumannAlgebra.Basic Mathlib.Combinatorics.Additive.AP.Three.Behrend Mathlib.Combinatorics.Additive.Randomisation Mathlib.Combinatorics.Extremal.RuzsaSzemeredi Mathlib.Dynamics.Ergodic.Action.OfMinimal Mathlib.Dynamics.Ergodic.AddCircleAdd Mathlib.Dynamics.Ergodic.AddCircle Mathlib.Dynamics.Ergodic.Extreme Mathlib.Dynamics.Ergodic.RadonNikodym Mathlib.Geometry.Diffeology.Basic Mathlib.Geometry.Euclidean.Altitude Mathlib.Geometry.Euclidean.Angle.Unoriented.CrossProduct Mathlib.Geometry.Euclidean.Angle.Unoriented.Projection Mathlib.Geometry.Euclidean.Circumcenter Mathlib.Geometry.Euclidean.Incenter Mathlib.Geometry.Euclidean.Inversion.Calculus Mathlib.Geometry.Euclidean.MongePoint Mathlib.Geometry.Euclidean.Projection Mathlib.Geometry.Euclidean.SignedDist Mathlib.Geometry.Euclidean.Sphere.Basic Mathlib.Geometry.Euclidean.Sphere.OrthRadius Mathlib.Geometry.Euclidean.Sphere.SecondInter Mathlib.Geometry.Euclidean.Sphere.Tangent Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation Mathlib.Geometry.Manifold.Algebra.LieGroup Mathlib.Geometry.Manifold.Algebra.Monoid Mathlib.Geometry.Manifold.Algebra.SmoothFunctions Mathlib.Geometry.Manifold.Algebra.Structures Mathlib.Geometry.Manifold.Bordism Mathlib.Geometry.Manifold.ContMDiff.Atlas Mathlib.Geometry.Manifold.ContMDiff.Basic 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Mathlib.Geometry.Manifold.MFDeriv.Defs Mathlib.Geometry.Manifold.MFDeriv.FDeriv Mathlib.Geometry.Manifold.MFDeriv.NormedSpace Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions Mathlib.Geometry.Manifold.MFDeriv.Tangent Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential Mathlib.Geometry.Manifold.Metrizable Mathlib.Geometry.Manifold.Notation Mathlib.Geometry.Manifold.PoincareConjecture Mathlib.Geometry.Manifold.Riemannian.Basic Mathlib.Geometry.Manifold.Riemannian.PathELength Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace Mathlib.Geometry.Manifold.Sheaf.Smooth Mathlib.Geometry.Manifold.SmoothEmbedding Mathlib.Geometry.Manifold.VectorBundle.Basic Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Basic Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Torsion Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear Mathlib.Geometry.Manifold.VectorBundle.Hom Mathlib.Geometry.Manifold.VectorBundle.LocalFrame Mathlib.Geometry.Manifold.VectorBundle.MDifferentiable 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Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.MeasureTheory.Function.AbsolutelyContinuous Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator Mathlib.MeasureTheory.Function.ConditionalExpectation.LebesgueBochner Mathlib.MeasureTheory.Function.ConditionalExpectation.PullOut Mathlib.MeasureTheory.Function.ConditionalExpectation.RadonNikodym Mathlib.MeasureTheory.Function.ConditionalExpectation.Real Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.MeasureTheory.Function.ConditionalLExpectation Mathlib.MeasureTheory.Function.ConvergenceInDistribution Mathlib.MeasureTheory.Function.FactorsThrough Mathlib.MeasureTheory.Function.Intersectivity Mathlib.MeasureTheory.Function.JacobianOneDim 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Mathlib.NumberTheory.LSeries.Injectivity Mathlib.NumberTheory.LSeries.Linearity Mathlib.NumberTheory.Modular Mathlib.NumberTheory.SiegelsLemma Mathlib.NumberTheory.Transcendental.Lindemann.AnalyticalPart Mathlib.NumberTheory.Transcendental.Liouville.Measure Mathlib.NumberTheory.WellApproximable Mathlib.NumberTheory.ZetaValues Mathlib.Probability.BorelCantelli Mathlib.Probability.CDF Mathlib.Probability.Combinatorics.BinomialRandomGraph.Defs Mathlib.Probability.CondVar Mathlib.Probability.ConditionalExpectation Mathlib.Probability.Density Mathlib.Probability.Distributions.Binomial Mathlib.Probability.Distributions.Poisson.PoissonLimitThm Mathlib.Probability.Distributions.SetBernoulli Mathlib.Probability.Distributions.TwoValued Mathlib.Probability.Distributions.Uniform Mathlib.Probability.HasLawExists Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistribIndep Mathlib.Probability.IdentDistrib Mathlib.Probability.Independence.BoundedContinuousFunction 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Mathlib.Topology.Instances.Matrix |
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Declarations diff
+ BlockTriangular.exp
+ BlockTriangular.pow
+ blockTriangularSubalgebra
+ blockTriangularSubsemiring
+ blockTriangular_algebraMap
+ isClosed_setOf_blockTriangular
+ mem_blockTriangularSubalgebra
+ mem_blockTriangularSubsemiring
You can run this locally as follows
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.
Increase in tech debt: (relative, absolute) = (1.00, 0.00)
| Current number | Change | Type |
|---|---|---|
| 8336 | 1 | backward.isDefEq |
Current commit 167aaa49fa
Reference commit 83b5ecb723
You can run this locally as
./scripts/reporting/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
wwylele
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Some code style comments
Thanks for the review! I've applied all the suggestions. Co-authored-by: Weiyi Wang <[email protected]>
remove redundant line
Co-authored-by: Snir Broshi <[email protected]>
f31cabb to
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Co-authored-by: Eric Wieser <[email protected]>
Summary
Add BlockTriangular.pow and BlockTriangular.exp for proving "det (exp A) = exp (trace A)"
Which part using LLM
The part I used LLM is for
Most things above are done by me first, then let them to make sure I'm not missing something.
More context
More context can be found in a topic in "# new member" in Zulip
#new members > (Matrix and NormedSpace.exp) | det (exp A) = exp (trace A)