Revision #478 → #981 · back to history
addedAbsolute value of 3 and −3ebbceb9474f6
addedAbsolute value of a real number9f47e83679ff
addedAbsolute value is non-negative2704beee5214
addedAbsolute value as distance from zero7b411cbca2eb
addedSquare-root alternative definitioned96d61cae35
addedFour fundamental properties61f65d8a05ca
addedAdditional useful properties1135698ffd87
addedInequality propertiesdcbf69fda7bb
addedSolving inequalities with absolute values7567f0191ce0
addedAbsolute difference / standard metrica47555007973
addedAbsolute value of a complex number6844cacd9710
addedAbsolute value in polar form6b70227d56f9
addedAbsolute square (squared modulus)e194ce130b68
addedComplex absolute value shares four properties26bb262abe62
addedContinuity of absolute value function12ecdf75842a
addedDifferentiable except at 0a4e2690f27a2
addedMonotonicity8f777a131969
addedEven function, not invertible4e999d5c55c5
addedPiecewise linear, convex70a6bf99b2c9
addedIdempotencef9a7248f2d85
addedRelationship to the sign functionc2198c4cade6
addedRelationship to max and min functions3f0aec4de177
addedDerived identity from max/min formulaa080f9cf2a19
addedDerivative of absolute valueb254a1e2ca00
addedContinuous function with min where derivative DNEadf3a06e18be
addedSubdifferential at 027ed1e544b89
addedComplex absolute value not complex-differentiableda4b5511cf3c
addedSecond derivative0fb97e5d76c8
addedAntiderivative of absolute value20f0846f58e3
addedNo complex antiderivative7093e88097c3
addedDerivatives of compositions (chain rule)0c5204a72a5e
addedAntiderivatives of compositions2b300f8fbbe2
addedPower rule for absolute value expressions368048dc0ec7
addedPower rule edge casefb1a1a7d9062
addedStandard Euclidean distance9dc52c4b5da2
addedAbsolute-value distance agrees with Euclideanaacd1c947aca
addedMetric (distance function)ff5800b32f45
addedAbsolute value in an ordered ringd719a4cf4673
addedAbsolute value on a field1b78a5d877e1
addedv(1) = 1021bf3ec43cd
addedInduced metric and ultrametric equivalences23075cdf8018
addedNon-Archimedean vs Archimedeanfdbec23b0036
addedNorm on a vector spacec4779db7b46a
addedNorm as length or magnitude96acf1bdfe9c
addedEuclidean normdc6758160159
addedAbsolute value is the only norm on R3dfb547e8002
addedComplex absolute value as inner-product normca5413166553
addedConjugation in a composition algebra45b32da8a315
addedNorm of a composition algebra78721b4fc5e1
addedR, C, H as composition algebras9b8bc3545963
addedAbsolute value via composition algebra normfa76b5b20324
addedMultiplicative inverse via normd2bdc8b52664