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Exponential function: Quiz


Question 1: This formula connects the exponential function with the trigonometric functions and to the ________.
Euler's formulaHyperbolic functionTaylor seriesComplex number

Question 2: That is, ex is its own ________ and hence is a simple example of a pfaffian function.
IntegralDerivativeCalculusDifferential calculus

Question 3: The ________ (rate of change) of the exponential function is the exponential function itself.
Differential calculusIntegralDerivativeCalculus

Question 4:
Which of the following titles did Exponential function have?
Member for Parramatta
Complex exponential function
Liviu's Dream
Final Fantasy IV Original Sound Version mix

Question 5: The identity exp(x+y) = exp(x)exp(y) can fail for Lie algebra elements x and y that do not commute; the ________ supplies the necessary correction terms.
Baker–Campbell–Hausdorff formulaFree Lie algebraHopf algebraMatrix exponential

Question 6: The exponential function also has analogues for which the argument is a matrix, or even an element of a ________ or a Lie algebra.
Banach algebraBanach spaceLocally compact spaceHilbert space

Question 7: In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex equals its own ________.
CalculusDifferential calculusDerivativeIntegral

Question 8: In fact, many differential equations give rise to exponential functions, including the Schrödinger equation and Laplace's equation as well as the equations for ________.
ForceSimple harmonic motionDampingClassical mechanics

Question 9: Euler's formula relates its values at purely imaginary arguments to ________.
Trigonometric functionsTrigonometryGenerating trigonometric tablesPythagorean theorem

Question 10: The exponential function ex can be defined, in a variety of equivalent ways, as an ________.
Series (mathematics)Compact spaceMathematical analysisTaylor series


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