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#2 2012-10-26 21:46:56
- bobbym
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Re: Modulo
Hi Leroy;
For 5 mod 2+2i;
So the answer is 1.
For 4+5i mod 3;
So the answer is 1 - i.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#3 2012-10-26 22:36:06
- Leroy
- Guest
Re: Modulo
I didn't really understood the first method and it seems to me the second one could be (4+5i)-3(1+i)=1+2i
#4 2012-10-26 22:40:30
- bobbym
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Re: Modulo
Hi;
That is not the correct expression. Mathematica confirms what I did in post #3.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#6 2012-10-26 22:59:32
- bobbym
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Re: Modulo
Hi;
I am just plugging into a formula:
For a mod n
I have been interpreting the int as the greatest integer.
I would say to be careful with the work done above. I can find no standardization for that formula for complex numbers. As a matter of fact some say floor or int are not defined for complex numbers. Others define them differently than Mathematica does.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#7 2012-10-27 02:59:18
- zetafunc.
- Guest
Re: Modulo
Interesting, I never thought about modular arithmetic with complex numbers.
#8 2012-10-27 03:25:31
- Leroy
- Guest
Re: Modulo
I think,as complex number is also a number,so it should have all properties of normal number-mod,factorial,floor,ceil,ratio,integer part,...
#9 2012-10-27 03:39:50
- bobbym
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Re: Modulo
Not necessarily, there are differences. For one thing the mod function is different.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.