Answer:
Let f be a function
a) f(n) = n²
b) f(n) = n/2
c) f(n) = 0
Explanation:
a) f(n) = n²
This function is one-to-one function because the square of two different or distinct natural numbers cannot be equal.
Let a and b are two elements both belong to N i.e. a ∈ N and b ∈ N. Then:
f(a) = f(b) ⇒ a² = b² ⇒ a = b
The function f(n)= n² is not an onto function because not every natural number is a square of a natural number. This means that there is no other natural number that can be squared to result in that natural number. For example 2 is a natural numbers but not a perfect square and also 24 is a natural number but not a perfect square.
b) f(n) = n/2
The above function example is an onto function because every natural number, lets say n is a natural number that belongs to N, is the image of 2n. For example:
f(2n) = [2n/2] = n
The above function is not one-to-one function because there are certain different natural numbers that have the same value or image. For example:
When the value of n=1, then
n/2 = [1/2] = [0.5] = 1
When the value of n=2 then
n/2 = [2/2] = [1] = 1
c) f(n) = 0
The above function is neither one-to-one nor onto. In order to depict that a function is not one-to-one there should be two elements in N having same image and the above example is not one to one because every integer has the same image. The above function example is also not an onto function because every positive integer is not an image of any natural number.
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Answer:
Option (2) i.e., process-control is the correct answer
Explanation:
In the following statement, Process-control screen provides users to send command to the system when the interface of the following users is mainly made up of in the older systems. So, that's why the user interface generally consists of a process-control screen which permits the user to transfer the following details in the system.
Answer:
C
Explanation:
The know-nothing party was a strong anti catholic party and anti-immigration party, so that rules out the first option. Also we can rule out the second and last options because they have less to do with the party. The answer would be C.
Answer:
Intra role Conflict
Explanation:
Intra role conflict basically talks about expectations from a role sender on how to go about a particular task clashing with the behavior the person that received the role is exhibiting