Construst a natural deduction... All natural deductions are to be done using onl
ID: 3859460 • Letter: C
Question
Construst a natural deduction...
All natural deductions are to be done using only ND rules on the ND Rule Sheet. Remember to number each line and justify each line after the initial assumptions. For any auxiliary assumption justify it by indicating for what purpose you are introducing that assumption, e.g., A/Superset I. i. Construct a ND to show that the following is a valid sentence. (This derivation can be done in 11.) (J L) Superset ((I & L) Superset [(I Superset K) Superset ((K & J) S)]) ii. Construct a ND to show that the following set is inconsistent. {A B, ~ B, (~ C D) Superset ~ A, ~ C} iii. Show that ND determines the following to be equivalent. ~ (~ A Superset ~ B) ~ A & BExplanation / Answer
/*
Calculate Circle Area using Java Example
This Calculate Circle Area using Java Example shows how to calculate
area of circle using it's radius.
*/
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class CalculateCircleAreaExample {
public static void main(String[] args) {
int radius = 0;
System.out.println("Please enter radius of a circle");
try
{
//get the radius from console
BufferedReader br = newBufferedReader(new InputStreamReader(System.in));
radius =Integer.parseInt(br.readLine());
}
//if invalid value was entered
catch(NumberFormatException ne)
{
System.out.println("Invalid radius value" + ne);
System.exit(0);
}
catch(IOException ioe)
{
System.out.println("IO Error :" + ioe);
System.exit(0);
}
/*
* Area of a circle is
* pi * r * r
* where r is a radius of a circle.
*/
//NOTE : use Math.PI constant to get value of pi
double area = Math.PI * radius * radius;
System.out.println("Area of a circle is " +area);
}
}
/*
Output of Calculate Circle Area using Java Example would be
Please enter radius of a circle
19
Area of a circle is 1134.1149479459152
*/
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