How to seperate fractional and decimal part in a real number
I need formula for Modulo, or Fraction
I was wondering, is this even possible? I know there are lot's of solutions for this problem in computer science but is there a solution for this problem in arithmetics?
For example, if it is divisible by two, we can use: X mod 2 = (1+(-1)^(x-1))/2
please help me, or If it does not exist then tell me
Why am I looking for Formula for Modulo
Because (x mod 1) gives me the decimal part of a real number X, Or by using Fraction equation if it exists
Another example , For integers
But I am looking for real numbers formula
I'm not sure, but in terms of integer values for modulo 2 I have another way to do it.
x mod 2=1/2+cos(pi*x)/2
For even numbers: cos(pi*x)=1...so, 1/2+1/2=1
For odd numbers: cos(pi*x)=(-1)...so, 1/2+(-1/2)=0
Thank you very much Phinehas
I said in the first post: "How to seperate fractional and decimal part in a real number", So, Through your idea:
X=real number
For odd numbers: Decimal(X)=1-ACos(Cos(X*PI))/(PI)
For even numbers: Decimal(X)= ACos(Cos(X*PI))/(PI)
And :
Fraction=X-Decimal=Int(X)
Any idea for a general function?