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Diff — Exponential function

Revision #542 → #1208 · back to history

addedExponential function (lead definition)50a8ce044f58
addedConverts sums to productsfee42e4ff078
addedFaster than every powera9a8384ec2c1
addedHorizontal asymptotee0f09e89d5a8
addedSlope equals height9fa1200e5c42
addedDifferential equation definition377d7cdd446e
addedInverse of natural logarithm9d32ad9984be
addedPower series definition7aa862804a86
addedAbsolute convergence of series49530e524de1
addedFunctional equationb33711325f6b
addedCharacterization by derivative at 031a35b7c2855
addedLimit of integer powers11fe3e723cdb
addedReciprocal property6cdd19151da6
addedPositivenessd2066b996dea
addedMonotonically increasing5940cc5f3a52
addedExponentiation with positive real base258994990c15
addedExponential function (indefinite article)e98af07a3a11
addedGeneral-form exponential function8704c5db097c
addedEquivalent characterizationsb10c72cb7b0c
addedBase of an exponential function0ec8e1e754fb
addedExponential growth and decay models871d9c4280ad
addedDecay/rate constant48dcb6ffb935
addedEquivalence of first two characterizations7eeea7ea77c0
addedContinuously compounded interest3a81ff6ae7b8
addedSolution of simplest differential equation0fac7d76da75
addedAll solutions are exponentiale7ed2a05d27d
addedSolutions of forced equation529183f10f59
addedLinear constant-coefficient solutions5fe6cc7996c7
addedComplex exponential extensiond8735dc03919
addedComplex exponential by derivative5acb592ade33
addedComplex exponential serieseddac908fd46
addedComplex exponential is entire8b033bab5be4
addedComplex exponential as limit7ed913a460c4
addedComplex functional equation6d2d4f89e627
addedUniqueness via holomorphye6de01948713
addedComplex logarithm right-inverse435abf94c866
addedPeriodicity of complex exponential7b7042a9d485
addedComplex conjugate of exponential29c45c74d4fd
addedModulus of complex exponential515454b8928c
addedEuler's formula275a0a27683a
addedReal and imaginary decomposition38df86129cba
addedTrig functions via exponentialsc0be9c444cea
addedExponential is transcendental functionaff02d69dc28
addedLinear independence of exponentials642f21f94bcd
addede is transcendental (Lindemann–Weierstrass)04cd26f13d88
addedexpm1 routine9f71e99b28af
addedHyperbolic tangent identitybf2c1ff97cd3
addedContinued fraction via Euler identityde392cdc3b93
addedFaster-converging continued fractione3b1f39f99a2
addedExponential on Banach algebras3067cff54f70
addedInvertibility in Banach algebra36d69248f20f
addedFailure of addition law for noncommuting2a30c758000d
addedAlternative limit definition6e25a4e69628
addedDefinition via differential equationca549303b28a
addedLie algebra exponential mapf6532b051d21
addedReal exponential as Lie special case30185ea7f86c
addedMatrix exponential as Lie special casecbed10131cb2
addedBaker–Campbell–Hausdorff correction7ea64467a775