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Discrete Mathematics
If a function is defined as f(x,n) mod n. Determine the
i. Domain of f
ii. Range of f
iii. G(g(g(g(7)))) if g (n) = f(209, n).
i. Domain of f
ii. Range of f
iii. G(g(g(g(7)))) if g (n) = f(209, n).
Discrete Mathematics
Determine whether the following relations are injective and/or subjective function. Find universe of the functions if they exist.
i. A= v,w,x,y,z, B=1,2,3,4,5
R= (v,z),(w,1), (x,3),(y,5)
ii. A = 1,2,3,4,5 B=1,2,3,4,5
R = (1,2),(2,3),(3,4),(4,5),(5,1)
i. A= v,w,x,y,z, B=1,2,3,4,5
R= (v,z),(w,1), (x,3),(y,5)
ii. A = 1,2,3,4,5 B=1,2,3,4,5
R = (1,2),(2,3),(3,4),(4,5),(5,1)
Discrete Mathematics
Check the extension of d given by d(x,y) = d(x,a) + 1 + d(b,y) where x belongs to X and y belongs to Y/ X
Discrete Mathematics
Define a bijective function. Explain with reasons whether the following functions are bijective or not. Find also the inverse f(x) = (2x+3) mod7, A=N7
Discrete Mathematics
Show that the functions f: R -->1 , infinity -->R , defined by : x=3^2x +1 , x= log x-1 are inverse of one another.
Discrete Mathematics
Let L = {3, 4, 12, 24, 48, 82} and the relation < be defined on L such that x < y if x divides y. Draw the Hasse diagram.
Discrete Mathematics
Let X = {a, b, c} defined by f : X
Discrete Mathematics
Let A = {1,2,3,4} and let R = {(1,1), (1,2),(2,1),(2,2),(3,4),(4,3), (3,3), (4,4)} be an equivalence relation on R. Determine A/R.
Discrete Mathematics
Let X = {1,2,3,4,5,6,7} and R = {x,y/x–y is divisible by 3} in x. Show that R is an equivalence relation.
Discrete Mathematics
If a function is defined as f(x,n) mod n. Determine the
i. Domain of f
ii. Range of f
iii. G(g(g(g(7)))) if g (n) = f(209, n).
i. Domain of f
ii. Range of f
iii. G(g(g(g(7)))) if g (n) = f(209, n).
