The most prestigious law school admissions discussion board in the world.
|
 |
 
|
Can all mathematical operations be described as a series of + / - *
| harsh parlor | 08/19/18 |
| Clear school | 08/19/18 |
| harsh parlor | 08/20/18 |
| Yapping Adventurous Mad-dog Skullcap Native | 08/20/18 |
| Beta razzle-dazzle university azn | 08/20/18 |
Poast new message in this thread
Date: August 19th, 2018 11:55 AM Author: harsh parlor (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36643291) |
Date: August 19th, 2018 11:56 AM Author: Clear school 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) |
 |
Date: August 20th, 2018 12:09 AM Author: harsh parlor (guy describing what square root is as a series of * + - /) (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36646747) |
|
Date: August 20th, 2018 12:11 AM Author: Yapping Adventurous Mad-dog Skullcap Native This was my conclusion. (http://www.autoadmit.com/thread.php?thread_id=4055389&forum_id=2#36646761) |
|
Date: August 20th, 2018 1:04 AM Author: Beta razzle-dazzle university azn 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
blahblah |