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How did they come up with the equation for calculating module of 2 numbers “a%b = a-b*(a//b)”


Asking the user for input until they give a valid responsehow come aSet.add(something) updates the original set even its done in a different function?Boolean testing: Python prints '1' or 'True'How can I use lists in an equation?Calculating multiple exponential curve equations in dataframe with groupbyHow do I plot a parametric equation in Python?How to solve an equation which has a solution variable in form of function at both side of equationCoding Problem using Python - Laplace equation, electrostatics. How to run a function only in a masked part of an arrayHow do I tell which module a function comes from?Calculate the number of times a combination is used in a log






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1















if we try different example you can see it satisfy the equation



print(13 % -4)
print(-10 % 9)


the question is where did they get the equation
a%b = b*(a//b)-a from










share|improve this question
























  • The equation is actually a%b = a-b*(a//b)

    – Tamas Hegedus
    Mar 24 at 1:22

















1















if we try different example you can see it satisfy the equation



print(13 % -4)
print(-10 % 9)


the question is where did they get the equation
a%b = b*(a//b)-a from










share|improve this question
























  • The equation is actually a%b = a-b*(a//b)

    – Tamas Hegedus
    Mar 24 at 1:22













1












1








1








if we try different example you can see it satisfy the equation



print(13 % -4)
print(-10 % 9)


the question is where did they get the equation
a%b = b*(a//b)-a from










share|improve this question
















if we try different example you can see it satisfy the equation



print(13 % -4)
print(-10 % 9)


the question is where did they get the equation
a%b = b*(a//b)-a from







python-3.x






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 24 at 1:24







jamil

















asked Mar 24 at 1:10









jamiljamil

215




215












  • The equation is actually a%b = a-b*(a//b)

    – Tamas Hegedus
    Mar 24 at 1:22

















  • The equation is actually a%b = a-b*(a//b)

    – Tamas Hegedus
    Mar 24 at 1:22
















The equation is actually a%b = a-b*(a//b)

– Tamas Hegedus
Mar 24 at 1:22





The equation is actually a%b = a-b*(a//b)

– Tamas Hegedus
Mar 24 at 1:22












1 Answer
1






active

oldest

votes


















0














It is the intuitive way to define a "remainder" operation, and also it's actually in the python documentation, you just have to tweak the equation a littlebit.




The floor division and modulo operators are connected by the following
identity: x == (x//y)*y + (x%y). Floor division and modulo are also
connected with the built-in function divmod(): divmod(x, y) == (x//y,
x%y).




So subtracting (x//y)*y from x == (x//y)*y + (x%y) gives you x%y == x - (x//y)*y.






share|improve this answer























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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0














    It is the intuitive way to define a "remainder" operation, and also it's actually in the python documentation, you just have to tweak the equation a littlebit.




    The floor division and modulo operators are connected by the following
    identity: x == (x//y)*y + (x%y). Floor division and modulo are also
    connected with the built-in function divmod(): divmod(x, y) == (x//y,
    x%y).




    So subtracting (x//y)*y from x == (x//y)*y + (x%y) gives you x%y == x - (x//y)*y.






    share|improve this answer



























      0














      It is the intuitive way to define a "remainder" operation, and also it's actually in the python documentation, you just have to tweak the equation a littlebit.




      The floor division and modulo operators are connected by the following
      identity: x == (x//y)*y + (x%y). Floor division and modulo are also
      connected with the built-in function divmod(): divmod(x, y) == (x//y,
      x%y).




      So subtracting (x//y)*y from x == (x//y)*y + (x%y) gives you x%y == x - (x//y)*y.






      share|improve this answer

























        0












        0








        0







        It is the intuitive way to define a "remainder" operation, and also it's actually in the python documentation, you just have to tweak the equation a littlebit.




        The floor division and modulo operators are connected by the following
        identity: x == (x//y)*y + (x%y). Floor division and modulo are also
        connected with the built-in function divmod(): divmod(x, y) == (x//y,
        x%y).




        So subtracting (x//y)*y from x == (x//y)*y + (x%y) gives you x%y == x - (x//y)*y.






        share|improve this answer













        It is the intuitive way to define a "remainder" operation, and also it's actually in the python documentation, you just have to tweak the equation a littlebit.




        The floor division and modulo operators are connected by the following
        identity: x == (x//y)*y + (x%y). Floor division and modulo are also
        connected with the built-in function divmod(): divmod(x, y) == (x//y,
        x%y).




        So subtracting (x//y)*y from x == (x//y)*y + (x%y) gives you x%y == x - (x//y)*y.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Mar 24 at 1:21









        Tamas HegedusTamas Hegedus

        19.4k43370




        19.4k43370





























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