Treatise of Physics

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definition 5.128 Derivation

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:5515 · p. 161

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definition 5.128: Derivation5.128definition 5.121: Algebra5.121definition 5.37: Linear transformation5.37remark 22.31: The bracket is a Lie algebra structure22.31definition 4.4: Internal binary operation; magma4.4definition 4.33: Vector space4.33definition 5.124: Ideal5.124definition 5.127: Lie algebra5.127definition 5.122: Linear hull5.122definition 5.123: Subalgebra5.123definition 5.162: Representation of an algebra5.162proposition 5.125: prop:lin-matrix-algebra5.125definition 7.99: Differentiability at a point7.99definition 12.35: Bounded operator; operator norm12.35definition 12.69: Operator with a domain12.69definition 5.41: Adjoint5.41definition 5.110: Bilinear map5.110definition 5.56: Endomorphism5.56definition 5.46: Functional5.46definition 5.47: Inverse of a linear transformation5.47definition 5.53: Isomorphism5.53definition 5.39: Kernel, image, nullity, rank5.39definition 5.66: Pushforward5.66lemma A.337: A nilpotent map has nilpotent adjointA.337proposition 5.48: Existence, uniqueness, and linearity of the inverse5.48proposition 5.45: prop:lin-matrix-unique5.45theorem A.335: Jordan decompositionA.335theorem 5.158: Schur's first lemma5.158proposition 22.30: Properties of the Poisson bracket22.30remark 22.39: Poisson's theorem does not manufacture new constants22.39

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depends_on → Algebra declared parts/02-mathematical-methods/03-linear-algebra-representations.tex:5529
depends_on → Linear transformation declared parts/02-mathematical-methods/03-linear-algebra-representations.tex:5529
depends_on ← The bracket is a Lie algebra structure declared parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:1096