Question 1: Two oftenseen instances are a^{0} = 1 (any number raised to the zeroth power is one) and 0! = 1 (the ________ of zero is one).  

Question 2: In any category, the product of an empty family is a ________ of that category.  

Question 3: For similar reasons, the intersection of an ________ of subsets of a set X is conventionally equal to X.  

Question 4: that is, the singleton set containing the ________.  

Question 5: Using this property as definition, and extending this to the empty product, the righthand side of this equation evaluates to b^{0} for the ________, because the empty sum is defined to be zero, and therefore the empty product must equal one.  

Question 6: The sum of two ________ is equal to the logarithm of the product of their operands, i.e.  

Question 7: (A programmer may, of course, implement it.) Languages implementing ________ are the exception.  

Question 8: In set theory and combinatorics, the ________ n^{m} is the size of the set of functions from a set of size m into a set of size n.  

Question 9: Dually, the ________ of an empty family is an initial object.  

Question 10: Consider the general definition of the ________:  

