Preserve All the Invariant Sections Information

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• Structure theorem for finitely generated modules over a principal ideal domain (section Invariant factor decomposition) This yields the invariant factor decomposition, and the diagonal ... form is not unique, and does not even preserve the direct sum decomposition. ... 12 KB (1,574 words) - 19:29, 14 June 2011
• Emmy Noether (section Algebraic invariant theory) whether it was possible to get all the invariants by starting with a ... field, while preserving the ground field and the roots of the polynomial ... 98 KB (13,722 words) - 16:38, 10 July 2011
• Pentagram map (section Invariant structures) T^2(H) are equivalent by a label-preserving projective transformation . ... The monodromy invariants and the invariant bracket combine to ... 39 KB (6,194 words) - 13:52, 9 July 2011
• Stress (mechanics) (section Invariants of the stress deviator tensor) by the cross-section's area A\,\! ... while the deformation strain tensor is invariant; thus creating problems in defining a constitutive ... 76 KB (11,467 words) - 15:48, 11 July 2011
• Manifold (section Classification and invariants) that both the map and its inverse preserve the desired structure For a ... The most familiar invariants, which are visible for surfaces, are ... 58 KB (8,289 words) - 06:18, 7 July 2011
• Mass in special relativity (section The system invariant mass vs. the individual rest masses of parts of ) "rest mass" or "invariant mass") as an invariant quantity which is ... system) preserve the invariant mass of the particle which produced them. ... 34 KB (5,467 words) - 00:07, 7 July 2011
• Orthogonal group (section The Dickson invariant) group of linear operators preserving the form – the above group O(n,  ... is the kernel of the Dickson invariant and usually has index 2 in O ... 34 KB (5,101 words) - 16:27, 20 June 2011
• BRST quantization and different local sections through a portion of the gauge bundle ... picks out a special class of right invariant geometric objects on P— ... 50 KB (7,208 words) - 12:18, 11 July 2011
• Special relativity (section The mass of systems and conservation of invariant mass) the invariant mass of a system which contains these energies still ... the cone in the +t section is the information that the point is 'sending'. ... 107 KB (15,884 words) - 12:40, 10 July 2011
• Plain Old Documentation with no Invariant Sections, with no Front-Cover Texts, and with no ... scanned for formatting codes or directives, and spacing will be preserved. ... 9 KB (1,199 words) - 01:24, 9 June 2011
• Jordan normal form (section Invariant subspace decompositions) Since the rank of a matrix is preserved by similarity transformation ... dimensional Euclidean space into invariant subspace s of A. Every Jordan ... 34 KB (5,213 words) - 15:38, 10 June 2011
• Volume form (section Invariants of a volume form) a volume form is an n-form, a section of the line bundle Ω n(M) Λ ... global invariant, namely the ( ... under volume-form preserving maps; this ... 13 KB (1,928 words) - 15:31, 30 June 2011
• Lorentz ether theory (section Lorentz-invariant gravitational law) Lorentz-invariant gravitational law ... (Already in 1906 Poincaré anticipated some of Minkowski's ideas, see the section "Lorentz- ... 63 KB (9,308 words) - 09:34, 1 June 2011
• Dynamical system (definition) (redirect from Ph-invariant) have zero Lebesgue measure and the invariant measures must be ... dynamical systems as seen in the previous sections: the basic reason for this ... 11 KB (1,604 words) - 15:59, 17 June 2011
• Euler class (section Relations to other invariants) preserving map F \to E, then e(F) f^* e(E). In particular, e(f^* E) f^* e(E). ... not vanish for even spheres, providing a non-trivial invariant. ... 11 KB (1,634 words) - 03:17, 26 May 2011
• Gauge theory (redirect from Gauge invariant) which the Lagrangian is invariant under a continuous group of local transformations. ... developed in the previous sections,consider the case ... 41 KB (5,819 words) - 09:04, 5 June 2011
• Courant bracket (section p=0: Circle-invariant vector fields) In the case p 1 the Courant bracket maps two sections of \mathbf T\ ... and invariant under the ... invariance is still preserved if one adds ... 8 KB (1,160 words) - 14:39, 25 June 2011
• G2 (mathematics) (section Polynomial Invariant) (7) that preserves any chosen particular vector in its 8-dimensional ... Polynomial Invariant : G_2 is the automorphism group of the following ... 6 KB (886 words) - 02:15, 21 June 2011
• Random permutation statistics (section Odd cycle invariants) Odd cycle invariants : The types of permutations presented in the preceding two sections, i.e. called odd cycle invariants, studied by Sung ... 35 KB (5,949 words) - 18:26, 29 June 2011
• Holomorphic functional calculus (section Invariant subspace decomposition) It preserves uniform convergence on compact sets. ... Invariant subspace decomposition : into invariant subspaces of T using the functional calculus. ... 31 KB (4,813 words) - 03:27, 20 January 2011

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