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Jan
11
answered Equation in the complex plane $8z=i|z|^3\bar{z}$?
Jan
11
comment Not getting what it means $v = ai + bj + ck$ for some vector $v$
For example, suppose you wanted to prove what $(x,y,z)+(u,v,w)$ was equal to. Well: $$(x,y,z)+(u,v,w)=ix+jy+kz + iu+iv+iw=i(x+u)+j(y+v)+k(z+w)=(x+u,y+v,z+w).$$ Ok, we intuitively know what $(x,y,z)+(u,v,w)$ is (if you've learned that somewhere), but how would go about proving it? You need to use your definitions and we define $(x,y,z)=ix+jy+kz$. Similarly we need to define what $i,j,k$ are and also what it means to write $ix$ etc. That's maths - there's no room for ambiguity ! ;-)
Jan
11
answered Not getting what it means $v = ai + bj + ck$ for some vector $v$
Jan
10
comment I would like to find the value of $f(z)$
You should use the substitution $z=re^{i\theta}=r\cos\theta+ir\sin\theta\equiv g(r,\theta)+i h(r,\theta)$.
Jan
10
revised I would like to find the value of $f(z)$
added 17 characters in body
Jan
8
comment Prove that $a^{n+m}=a^{n}a^m$, for real numbers
Could it be $e^{n\log a}$... but then what of $a\leq 0$...
Jan
7
revised Primitive root of unity with certain conditions
added 179 characters in body
Jan
7
revised Primitive root of unity with certain conditions
added 210 characters in body
Jan
7
revised Primitive root of unity with certain conditions
edited body
Jan
7
asked Primitive root of unity with certain conditions
Jan
7
revised Basic understanding of quotients of “things”?
added 688 characters in body
Jan
7
revised Basic understanding of quotients of “things”?
added 688 characters in body
Jan
7
accepted Basic understanding of quotients of “things”?
Jan
6
revised Basic understanding of quotients of “things”?
added 39 characters in body
Jan
6
comment Basic understanding of quotients of “things”?
Ah yes of course ... will update.
Jan
6
revised Basic understanding of quotients of “things”?
added 55 characters in body
Jan
6
asked Basic understanding of quotients of “things”?
Jan
6
revised Can $i$ be defined as a square root of $-1$?
edited title
Jan
6
comment Reference for multiplicative norms
Thanks for the info. I own a copy of Grossman and Katz (1972) - fascinating stuff !
Jan
6
revised Reference for multiplicative norms
added 143 characters in body