#include <stdio.h>
int digit_sum(int);
int digit_sum_rec(int);
main()
{
int num;
printf("Enter 5 digit positive integer. : ");
scanf("%d",&num);
printf("The sum of the digits is: %d\n",digit_sum(num));
printf("The sum of the digits is (calculated recursively): %d\n",
digit_sum_rec(num));
}
int digit_sum(int n)
{
int t=0;
while(n) {
t+=n%10;
n/=10;
}
return t;
}
int digit_sum_rec(int n)
{
if(n==0) return 0;
return (n%10)+digit_sum_rec(n/10);
}
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)
the range is a positive real number
Increment
A positive gradient is a characteristic of a function whose value increases as the value of the argument increases. So, if y is a function, f(x), of x, then an increase in the value of x is accompanied by an increase in the value of y.
A recursive method (or function) is one that calls itself. Here is a popular example: The factorial function n! (read the exclamation mark as: factorial of n, or n factorial), for a positive integer, is the product of all numbers up to that number. For example, 4! = 1 x 2 x 3 x 4. In math, the factorial is sometimes defined as: 0! = 1 n! = n x (n-1)! (for n > 0) You can write a function or method, using this definition. Here is the pseudocode: function factorial(n) if (n = 0) return 1 else return n * factorial(n - 1) Note that this is not very efficient, but there are many problems that are extremely complicated without recursion, but which can be solved elegantly with recursion (for example, doing something with all files in a folder, including all subfolders).
The factorial f(n) = n * (n-1) * (n-2) * .. 1. For example factorial 5 (written as 5!) = 5 x 4 x 3 x 2 x 1 = 120. The function below returns the factorial of the parameter n. int factorial( int n) { if (n==1) return 1 else return n* factorial( n-1) ; }
positive
factorial n is given by formula n! = n.(n-1)....1 int i; long x; x =1; for (i=n;i>1;i--) x = x*i ; will calculate factorial. I have put x as long to avoid integer overflow. checks for n is positive etc. to be added.
The LCM is defined as being a positive integer. Ignore the negative signs. Calculate as if everything's positive.
false!
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
negative
"Find a smooth curve that connects the points (x, y) given by y = (x − 1)! at the positive integer values for x."[Gamma]n = (n-1)!
A function is positive on an interval, say, the interval from x=a to x=b, if algebraically, all the y-coordinate values are positive on this interval; and graphically, the entire curve or line lies above the x-axis.on this interval.