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Exponentiation: Quiz


Question 1: The important mathematical constant e, sometimes called Euler's number, is approximately equal to 2.718 and is the base of the ________.
Exponential functionEuler's formulaLeonhard EulerNatural logarithm

Question 2: The value has a discontinuity along a ________.
Complex logarithmBranched coveringRiemann surfaceBranch point

Question 3: In the base ten (________) number system, integer powers of 10 are written as the digit 1 followed or preceded by a number of zeroes determined by the sign and magnitude of the exponent.
Arabic numeralsDecimalPositional notationDuodecimal

Question 4: The combinatorial interpretation of 00 is the number of empty ________ of elements from the empty set.
Set theoryTupleNatural numberSet (mathematics)

Question 5: Iterated functions are of interest in the study of fractals and ________.
Chaos theoryControl theoryNonlinear systemDynamical system

Question 6:
Which of the following titles did Exponentiation have?
Introducing 0th power
Member of Parliament for West Lothian
Senator for New South Wales

Question 7: Exponentiation is a ________ operation, written as an, involving two numbers, the base a and the exponent n.
Mathematical logicMathematicsGeometrySet theory

Question 8: A ________ can be used to choose a specific value.
Complex logarithmBranched coveringRiemann surfaceBranch point

Question 9: Complex powers and logarithms are more naturally handled as single valued functions on a ________.
Abelian varietyRiemann surfaceManifoldProjective space

Question 10: So e ix = cos x + isin x, and this is Euler's formula, connecting ________ to trigonometry by means of complex numbers.
Vector spaceMathematicsAlgebraic structureAlgebra


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