Is it possible to call this operation as Direct sum?
Problem: Calculate $$((...((2018 oplus 2017) oplus2016)oplus...oplus2)oplus 1)$$ if $$ x oplus y = frac {3(x+9y)} {xy+81} $$.
I assume that it will be a multiple of 1009, but can't solve it.
abstract-algebra
asked Nov 27 '18 at 2:50
Vaca J.
61
add a comment |
Problem: Calculate $$((...((2018 oplus 2017) oplus2016)oplus...oplus2)oplus 1)$$ if $$ x oplus y = frac {3(x+9y)} {xy+81} $$.
I assume that it will be a multiple of 1009, but can't solve it.
abstract-algebra
asked Nov 27 '18 at 2:50
Vaca J.
61
It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28
add a comment |
Problem: Calculate $$((...((2018 oplus 2017) oplus2016)oplus...oplus2)oplus 1)$$ if $$ x oplus y = frac {3(x+9y)} {xy+81} $$.
I assume that it will be a multiple of 1009, but can't solve it.
abstract-algebra
asked Nov 27 '18 at 2:50
Vaca J.
61
Problem: Calculate $$((...((2018 oplus 2017) oplus2016)oplus...oplus2)oplus 1)$$ if $$ x oplus y = frac {3(x+9y)} {xy+81} $$.
I assume that it will be a multiple of 1009, but can't solve it.
abstract-algebra
abstract-algebra
asked Nov 27 '18 at 2:50
Vaca J.
61
asked Nov 27 '18 at 2:50
Vaca J.
61
asked Nov 27 '18 at 2:50
Vaca J.
61
asked Nov 27 '18 at 2:50
Vaca J.
61
asked Nov 27 '18 at 2:50
Vaca J.
61
61
It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28
add a comment |
It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28
It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28
add a comment |
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It has nothing to do with the direct sum, this is just "abuse" of the notation commonly used for the direct sum. And this is not really abstract algebra either.
– Auclair
Nov 27 '18 at 9:44
Thanks, I suspected it.
– Vaca J.
Nov 27 '18 at 12:28