Gavran's latest activity

This is my interpretation of the problem statement in the original post.

The transposition of a complex number is the same complex number, and the conjugation of a real matrix is the same real matrix. It is...

Thanks, Gavran, but apparently I did not express myself very well. Let me try again. First, if I understand your post correctly (but...

The conjugation of a complex number is also a complex number. So the conjugation of a complex number twice corresponds to the...

Some of it depends upon who the audience is. If you have a construction worker building something, he'll know immediately what a 90...

There is an interesting text regarding degrees versus radians on...

I do not know what you are trying to say here. If you want to take any step in your life, first you have to be born.

Isaac Newton was a great physicist, and he was also a great mathematician, which made him more independent than Albert Einstein. My...

Thanks, Gavron. These simple examples are very nice.

There is an isomorphism between the field of complex numbers and a specific set of 2x2 real matrices where a complex number ## a+bi ##...

The way to determine ##(a,b)## uniquely is to pick an angle ##\phi##. Then we have ##b=2tan(\phi)## and ##a=4/tan(\phi)##. As ##\phi##...

All right. Based on post #19, there are the next steps. $$...

There are an infinite number of solutions but for each one there is a different angle and thus a different triangle. I meant for a given...

I suppose that you use the Pythagorean theorem here. (see below) $$ \sqrt{(a+2)^2+(b+4)^2}=\sqrt{b^2+2^2}+\sqrt{a^2+4^2}\implies0=0 $$...

Newton was a lot more influential but that was just luck because he was first. As someone said, "the order of the Universe can only be...