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Discrete Mathematics
In the given picture are three men: Neil Armstrong, Michael Collins and Buzz
Aldrin. They were on the Apollo 11 that set the first man on the moon in 1969.
Neil Armstrong was the first man walking on the moon. Which is an example of
a cardinal number? (2)
A. Three
B. 11 (as in Apollo 11)
C. First
D. 1969
E. None of the above
Aldrin. They were on the Apollo 11 that set the first man on the moon in 1969.
Neil Armstrong was the first man walking on the moon. Which is an example of
a cardinal number? (2)
A. Three
B. 11 (as in Apollo 11)
C. First
D. 1969
E. None of the above
Discrete Mathematics
Define partial order and total order of relations
Discrete Mathematics
Let f and g be functions from the positive real numbers to positive real numbers defined by f(x) = [2x]
g(x) = x2.2 Calculate f o g and g o f.
Discrete Mathematics
Define a bijective function. Explain with reasons whether the following functions are bijective or not. Find also the inverse of each of the functions.
i. f(x) = 4x+2, A=set of real numbers
ii. f(x) = 3+ 1/x, A=set of non zero real numbers
iii. f(x) = (2x+3) mod7, A=N7
Discrete Mathematics
Suppose that ab and c are sets such that A ⊆ b and b ⊆ c show that A ⊆ c
Discrete Mathematics
transitive closure of{(1,3),(5,5),(1,6),(3,3),(5,6)}
Discrete Mathematics
write the following sets by listing their elements between braces
Discrete Mathematics
Let A={2, {2}, (2)2}, B= {2, {2{, {{2}} and C={2}. Evaluate the truth and falsity of the following statements.
Discrete Mathematics
Show that the functions, defined by f:R->(1,infinity) ->R f(x)=3^2x+1, g(x)=log(x-1) are inverse of one another.
Discrete Mathematics
Let X = {a, b, c} defined by f : X
