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Nezavi [6.7K]
3 years ago
7

Give an example of a function from N to N that is:______.

Computers and Technology
1 answer:
vichka [17]3 years ago
4 0

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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Programming challenge description: Write a program that, given two binary numbers represented as strings, prints their sum in bi
Lubov Fominskaja [6]

Answer:

The program to this question can be given as:

Program:

#include<iostream>  //include header file

using namespace std;  

string add(string a, string b)  //define add function

{       //declare variable  

   string result = "";  

   int sum = 0,k,l;      

   cahr x;    

   k= a.size() - 1;

   l = b.size() - 1;  

   while (k>= 0 || l>= 0 || sum == 1) //loop

   {

   //addition 

       sum= sum+ ((k >= 0)? a[k] - '0': 0);  

       sum= sum+ ((l >= 0)? b[l] - '0': 0);

        x=sum%2;

      result=(x+'0') +result;

  // Compute carry

       sum =sum/ 2;  

       // Move to next digits  

       k--;  

       l--;  

   }  

   return result; //return value

}

int main()  //main method  

{  

   string a,b;  //string variable

   cout<<"Enter first binary digit: ";  //message.

   cin>>a;     //input from user

   cout<<"Enter Second binary digit: ";  //message.

   cin>>b;     //input from user

   cout <<"Addition :"<<add(a, b)<<endl; //print addition

   return 0;  

}

Output:

Enter first binary digit: 1101

Enter Second binary digit: 100

Addition :10001

Explanation:

In the above c++ program first, we include the header file. Then we define the add function in the add function we add two binary digits by passing value as arguments. In this function, we define a variable that is used on the addition of binary numbers. In this function we define the loop in the loop we check if two binary number is 1 then it will print 0 and pass 1 as the carry. after performing addition it will return value. In the main function, we take two binary numbers from the user and pass the value to the function and print function return value.

8 0
3 years ago
How does computer applications affect our lives daily? 1- paragraph (4 sentences)
Mnenie [13.5K]

Answer:

Computers affect our lives daily because we use them everyday to browse the internet and solve problems in real life. They help solve problems and without them, getting certain information would be much harder. They help us interact with friends from anywhere in the world and communicate with relatives. It has also helped us during this pandemic and lets us learn from school in the safety of our own home.

( hope this helps, i wrote it myself ;-; )

4 0
3 years ago
Read 2 more answers
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WITCHER [35]

Answer:

Call showValue (12)

Explanation:

The function is a block of the statement which performs the special task.

if you define the function, then you have to call that function.

Then, program control moves to the function and start to execute otherwise not execute the function.

the syntax for calling the function:

name(argument_1, argument_2,....);

we can put any number of arguments in the calling.

check the options one by one for finding the answer:

Call showValue( Integer): this is valid calling but it passes the variable, not the 12. this is not correct.

Call showValue( Integer 12): This is not valid calling, because it passes the data type as well which is incorrect.

Call showValue( Real): this is valid calling but it passes the variable, not the 12. this is not correct.

Call showValue (12): this valid calling and also pass the value 12.

Therefore, the correct answer is option b.

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3 years ago
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Slav-nsk [51]
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5 0
4 years ago
Please check my answers! (Java)
KatRina [158]

I think only II contains an error.

Tricky because, syntactically, all three are correct I.M.O.

However, if the goal is to iterate as many times as lotNumLength, then statement II loops one time too many. This is known as an off-by-one error.

4 0
3 years ago
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