whiteonriceboy wrote:but why can we assume that there is a tetraspace at all?
pat wrote:There are countless (well, technically "countable") things in mathematics and physics which could be better visualized if we were more fluent with higher-dimensional spaces.
pat wrote:As for integrating with complex variables, I think you're going to run into problems with the expression | z<sup>2</sup> + z | = 4 because the absolute value sign brings in a discontinuity. But, I'll think about it some more.
pat wrote:From the sounds of what you have above, you're integrating/differentiating as if it were two functions of two real variables. Integrating/differentiating as complex numbers isn't quite the same.
trill wrote:like many things in science, this is theoretically possible but we do not know if it is true until it is proved--even if possibly there is no known way to prove it.
PWrong wrote:Hi everyone, I'm back. The mocks went well.
Don't mind me saying this, but what are you three on about? (mghtymoop, trill and RQ)
About my mandelbrot set problem, I've discovered it might not be possible. I didn't realise there were some functions that don't have an integral at all. I think the mandelbrot lemniscates are probably like them. So much for finding the area.
I'm working on a new ridiculously difficult project now, which I might describe in another post later. It's about the "tetration" function, that came up a few threads ago.
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