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Diff — Inner product space

Revision #3200 → #3705 · back to history

modifiedGram–Schmidt processe21b7c0b0e10
FieldFrom #3200To #3705
mathlib.declgramSchmidtInnerProductSpace.gramSchmidt
note`gramSchmidt 𝕜 f` produces the orthogonal sequence from a linearly independent one; `gramSchmidtNormed` gives the orthonormal version.`InnerProductSpace.gramSchmidt 𝕜 f` produces the orthogonal sequence from a linearly independent one; `InnerProductSpace.gramSchmidtNormed` gives the orthonormal version.
modifiedOrthogonal projection onto a subspacec6552fcf908b
FieldFrom #3200To #3705
mathlib.declorthogonalProjectionOntoSubmodule.orthogonalProjectionOnto
note`Submodule.orthogonalProjectionOnto K` (with legacy alias `orthogonalProjection`) is the continuous linear projection of a Hilbert space onto a complete subspace `K`.`Submodule.orthogonalProjectionOnto K` (alias of `Submodule.orthogonalProjection`) is the continuous linear projection of a Hilbert space onto a complete subspace `K`.
modifiedContinuous linear maps between inner product spaces7a3fc2241aec
FieldFrom #3200To #3705
mathlib.moduleMathlib.Topology.Algebra.Module.BasicMathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic
modifiedNondegenerate conjugate symmetric formfd777bf45f81
FieldFrom #3200To #3705
mathlib.moduleMathlib.LinearAlgebra.BilinearForm.BasicMathlib.LinearAlgebra.BilinearForm.Properties
addedRiemannian manifold34f82d27728e
addedOuter product of vector and covector5bf424d3988c
addedExterior/wedge product8cd2cb4426de
addedClifford algebra / geometric product6c71c9ab66b1