Revision #900 → #1509 · back to history
addedQuadratic form4b80324cdb84
addedDefinite vs isotropic (real)32f213363fc8
addedUnary, binary, ternary forms38a8fe43fa74
addedQuadric from a quadratic forme1a673f15ea3
addedSquare of Euclidean norma5d3ea93aaa4
addedQuadratic space (preview)876650a46782
addedFermat's theorem on sums of two squares465858f50db0
addedQuadratic form from a matrix13e9b3b28fd9
addedThree-variable matrix formd03751ea3a8b
addedSame form iff matching diagonal and symmetric sums873d74e8531d
addedUnique symmetric matrix for a quadratic forma2b95ea87237
addedBijection between quadratic forms and symmetric matrices7312d0a1643f
addedJacobi's orthogonal diagonalization047f307ffd85
addedSylvester's law of inertiad26712d7ef71
addedSignature of a quadratic form738105bd352b
addedPositive/negative definite, nondegenerate, isotropic3aea9a568981
addedDiscriminant of a quadratic form3b6219e5d22b
addedChange of basis for matrix of a quadratic formcbe6f82ef8e0
addedJacobi's theorem (orthogonal diagonalization of symmetric matrix)792de675dac8
addedPositive/negative indices of inertia5937e44a7b8e
addedPositive definite, negative definite, isotropic (via values)254cdc7cf9d9
addedUniqueness of positive definite real form up to isometry469954ada9cc
addedQuadratic form over a field (coordinate-free)80e66a9f7652
addedn-ary quadratic form (polynomial)f6e046a8b9e3
addedNull vector2e709b164c65
addedEquivalent quadratic formsf1f8fa1c0e35
addedSymmetrization of coefficient matrixc7d38202df54
addedAssociated bilinear formfe6b031957d2
addedEquivalence of symmetric bilinear forms and quadratic forms826a6f719c0b
addedQuadratic form on a vector space601ac2923c93
addedQuadratic space7a381caa7179
addedQ is homogeneous of degree 2339b7bf6c6b2
addedPolar bilinear form (char ≠ 2)4b970aee54bc
addedCharacteristic 2 polar form is alternating86f07b79de97
addedIsometric quadratic spaces6033eb14760b
addedIsometry classes correspond to equivalence classesb820ec721d9b
addedAssociated quadratic form and polar form (over a ring)e123d4d72803
addedEquivalent characterizations of quadratic form over a ring4da6a581e9fc
addedOrthogonal vectors and kerneld4b2a8ca35d4
addedNon-singular, isotropic, definite, totally singularf2c06dd1aa59
addedOrthogonal group of a quadratic form078d7b0fc38c
addedComposition algebra461f8e6f4ef2
addedDiagonalization of quadratic forms (char ≠ 2)a016868b9dc6
addedGeometric nature via eigenvalues (ellipsoid/hyperboloid)0724aebe0e78
addedGeometric nature with zero eigenvalues (paraboloid)bd4edeb4ca52
addedIntegral quadratic formae0154ba2baa
addedIntegral with respect to a lattice307a94f38fd8
addedUniversal integral quadratic form470c2c6afa56
addedLagrange's four-square theorem0f5aae04cd24
addedRamanujan's 54 quaternary formsc61ea2df4ce4
added{1,2,5,5} missing 15bf9050cb4a00
added15 and 290 theorems6e72008737e2