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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

bobbym
2012-10-27 03:39:50

Not necessarily, there are differences. For one thing the mod function is different.

Leroy
2012-10-27 03:25:31

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,...

zetafunc.
2012-10-27 02:59:18

Interesting, I never thought about modular arithmetic with complex numbers.

bobbym
2012-10-26 22:59:32

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.

Ronald
2012-10-26 22:45:01

Ok,but could you explain the method to me?

bobbym
2012-10-26 22:40:30

Hi;

That is not the correct expression. Mathematica confirms what I did in post #3.

Leroy
2012-10-26 22:36:06

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

bobbym
2012-10-26 21:46:56

Hi Leroy;

For 5 mod 2+2i;





So the answer is 1.


For 4+5i mod 3;





So the answer is 1 - i.

Leroy
2012-10-26 21:29:20

How do i solve these
5 mod 2+2i
4+5i mod 3
3+i mod 1+i
i mod 3
56 mod 5i

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