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Can all mathematical operations be described as a series of + / - *
| rose son of senegal | 08/19/18 |
| Glittery Yapping University Sweet Tailpipe | 08/19/18 |
| rose son of senegal | 08/20/18 |
| slate pungent pervert | 08/20/18 |
| Cracking Temple | 08/20/18 |
Poast new message in this thread
Date: August 19th, 2018 11:55 AM Author: rose son of senegal (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36643291) |
Date: August 19th, 2018 11:56 AM Author: Glittery Yapping University Sweet Tailpipe how would you even get sqrt in there unless you allowed for infinite sequences of rational approximations to sqrt to count as representing the function sqrt? (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36643302) |
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Date: August 20th, 2018 12:09 AM Author: rose son of senegal (guy describing what square root is as a series of * + - /) (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36646747) |
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Date: August 20th, 2018 12:11 AM Author: slate pungent pervert This was my conclusion. (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36646761) |
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Date: August 20th, 2018 1:04 AM Author: Cracking Temple if you mean the arithmetic definitions of those operators, then there are plenty of them (for example, the rotation of a face of a rubik's cube is expressible as an operator in lie algebra that is not based on the arithmetic definitions of +-/* but you could call the rotation "addition" if you really wanted to)
also a bit of a philosophical distinction, but i assert an an infinite series approximating a transcendental function is not equal to the transcendental function: it merely APPROXIMATES it, which is why there is always an error term - don't make the mistake of so many and think that "approaches infinity" means "when it equals infinity" bc that's not true
i don't think you can convert the compositional operator to +-/* either
same goes for any non-numeric group/ring/etc.
of course in those structures we use the symbols, but they don't relate to the arithmetic definitions of the symbols
edit: well theoretically i guess subtraction does since it's commonly defined as "the inverse of addition" so even if + means different things, - still means "anti+"
edit: also a lot of matrix shit can't be expressed as purely +-*/ because the row/column of a term in a matrix is inexpressible that way but affects matrix math
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