Revision #544 → #1210 · back to history
addedExponentiation (positive integer exponent)b8fc6a52cb1b
addedMultiplication rule for exponentsd0795ace5313
addedZeroth, negative, and fractional powers649819e3e1bf
addedReal exponents (extension)07ac2815df1b
addedArchimedes' law of exponents for powers of tencae51c3b8666
addedSquare of be1e3aa6e882b
addedCube of b09ec9b6ab322
added3 to the 5th power7e7eb9322fce
addedInductive definition of positive integer exponentiation65bede8935e2
addedAssociativity gives exponent product rule8345eea4058f
addedZero exponent934153e2d621
addedZero to the power of zero822eb083404a
addedNegative integer exponents3e2b607a0268
addedNegative exponents in a monoid2a6bf781248e
addedExponent rules (integer exponents)d63201b761e4
addedNon-commutativity and non-associativity of exponentiation09a4c370b189
addedBinomial formulad1c495424383
addedCombinatorial interpretation of n^mf58aeaffd9d0
addedPowers of ten in decimaldb34444ffbfa
addedCardinality of the power set is 2^n89498e87e427
addedEvery power of one is one01037387a9fd
addedPowers of zeroe211c5552de5
addedAlternating sign of powers of -1d0fd6a7cd129
addedDivergence of powers when b>129da9acf8274
addedPowers with |b|<1 tend to zero7702d8a424af
addedPowers of negative bases do not converge0dcae5e47f31
addedPower functions3c4827f1b026
addedEven and odd power functions89bd5c3f059d
addedn th root of a nonnegative real7e1cc4582dfe
addedRational exponent of a positive real3c9fccf97951
addedZero to a positive rational powerccf4f3c5ba15
addedFailure of rational exponent identity for negative base1bef9a52d0ad
addedReal exponents via continuity or logarithm1ff827177f32
addedPrincipal value and multivaluedness for negative bases2dd8e4958762
addedReal exponent via limit of rational exponents4b6e5be81529
addedb^π via rational approximationsa6f44c698395
addedExponential function (limit definition)c1eb40e25a6c
addedExponential identitya1b60836b59e
addedEuler's numberc7fea11fa08c
addedExtension of exp to complex arguments1e59c51c893c
addedReal exponentiation via logarithmb52c9176a90e
addedComplex exponent with positive real based0db1984ceb5
addedEuler's formulaf32376a5aeb9
addedPolar form of a complex number650e2688c4d3
addedPolar form of n th roots of a complex number83e88beba778
addedn distinct n th roots of a complex numberf278491112b6
addedPrincipal n th root29b0f5b00a47
addedNo continuous n th root on all of Ca8e38b259330
addedn th roots of unity2caf8b581ece
addedPrimitive n th roots of unity74ae646f4462
addedn th roots via roots of unity27bdda34c05a
addedGeometric arrangement of roots of unityc7711f9e9334
addedPrincipal primitive n th root of unity275d1c1108a4
addedComplex exponentiation via logarithmda942a675d82
addedPrincipal value of complex logarithmc35c6e77c76f
addedPrincipal value of complex exponentiation04b6affc266e
addedOther values of multivalued logarithm and exponentiation93a7085406d1
addedNumber of values of z^w for rational wa13de209f360
addedCanonical form computation of z^wf8b36e19ad91
addedValues of i^i0c4f8e6abf41
addedValues of (-2)^wa3e28737f8ee
addedFailure of log(b^x)=x log b for complex5e32e3e4bae0
addedFailure of (bc)^x = b^x c^x for complexe1127501188f
addedClausen's paradoxd5a8f23a6c09
addedAlgebraic base, rational exponent gives algebraic131a33a7d52a
addedGelfond–Schneider theorem861e60503c08
addedExponentiation in a monoid63e93d132c8f
addedNegative integer exponent in a monoided7436404a32
addedLaws of integer exponentiation in algebrad8b49b1bf4d2
addedMultiplicative group6fb87de1c533
addedPowers of a group element form a subgroupecc4c1d516ec
addedCyclic group generated by x and ordere0fae451354f
addedOrder divides group order (Lagrange)121e491b3ee5
addedConjugation notation0b9804e7e594
addedNilpotent element6d73a6b20198
addedNilradical of a commutative ringe04315eda29a
addedReduced ringf0d32b658105
addedRadical of an ideal255a863b42c4
addedHilbert's Nullstellensatz (radical ideals)3a98c008d8ed
addedMatrix power7ea7c89cd85c
addedMatrix powers in dynamical systemsfc5215f2cc65
addedPowers of the derivative operator812519840561
addedFinite field1c7b933b7c9d
addedPrimitive element of a finite fieldebe7f86da493
addedFreshman's dream in characteristic pc895bd5e8c5d
addedFrobenius automorphism8ab3b2424c8d
addedGalois group of finite field extensionda5709b90598
addedDiffie–Hellman key exchangeeaf786b54934
addedCartesian product of sets73324a9e370c
addedn th power of a setd8d72d0faa80
addedSet of functions notation S^Tf04130b2e79b
addedCanonical isomorphisms (currying)89f1b147c81e
addedPower set as 2^Sae8144f3eaf6
addedCardinal exponentiation407d38b8e371
addedExponentiation as right adjoint to product6e223ae980ee
addedCartesian closed categoryab285dea869e
addedTetration and hyperoperation6f5e23b65631
addedHyperoperation evaluated at (3,3)980feef191b5
addedLimits of x^y on extended reals6a4916316f68
addedValues of limits of x^y at boundary casese60897d8a7d4
addedFunction compositione40a1132197c
addedn th iterate of a function88b65ca95d59
addedInverse function notation f^{-1}60a8795030a0