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Associated with Math.SE; for both general discussion & math qu...
3
Brennan.Tobias
Feb 22, 2016 14:24
hello
Brennan.Tobias
Feb 21, 2016 19:26
I did look at that @JulianRachman but I couldn't say anything about it
Brennan.Tobias
Feb 21, 2016 19:20
im not being rigorous just showing intuition
Brennan.Tobias
Feb 21, 2016 19:18
so its just x/x = 1
Brennan.Tobias
Feb 21, 2016 19:18
because near 0, sin(x) is like x
Brennan.Tobias
Feb 21, 2016 19:18
isn't that 1?
Brennan.Tobias
Feb 21, 2016 19:16
no it doesn't thats division by zero
Brennan.Tobias
Feb 21, 2016 19:15
no
Brennan.Tobias
Feb 21, 2016 19:13
if f and g are cont. at y then lim x->y (f(x)g(x)) = (lim x->y f(x))(lim x->y g(x))
Brennan.Tobias
Feb 21, 2016 19:12
@sharafzaman, you can do that at points a function is continous at
Brennan.Tobias
Feb 21, 2016 19:10
that will find you the other two 'extra' solutions
Brennan.Tobias
Feb 21, 2016 19:09
but you might also have 3|a-1 & 5|a+1 (or the reverse)
Brennan.Tobias
Feb 21, 2016 19:09
so clearly a=1 and a=-1 work
Brennan.Tobias
Feb 21, 2016 19:09
that's the same as 15 | (a-1)(a+1)
Brennan.Tobias
Feb 21, 2016 19:09
you want to solve a^2-1 = 0 mod 15
Brennan.Tobias
Feb 21, 2016 19:09
well another way to do it is this
Brennan.Tobias
Feb 21, 2016 19:06
@GGG is that any use to you
Brennan.Tobias
Feb 21, 2016 18:59
one easy way would be to try a=1,2,3,4,...,15
Brennan.Tobias
Feb 21, 2016 18:58
i see you're doing a different problem
Brennan.Tobias
Feb 21, 2016 18:58
sorry ignore that
Brennan.Tobias
Feb 21, 2016 18:56
could this be of any use to you
math.stackexchange.com/questions/1661650/…
Brennan.Tobias
Feb 21, 2016 18:56
@ggg what are you working on?
Brennan.Tobias
Feb 21, 2016 18:41
this thread has become incredibly low quality
math.stackexchange.com/questions/1665899/…
Brennan.Tobias
Feb 21, 2016 18:41
wow
Brennan.Tobias
Feb 18, 2016 19:58
thanks
Brennan.Tobias
Feb 18, 2016 19:45
I don't really want to argue about it
Brennan.Tobias
Feb 18, 2016 19:44
that the question was closed as duplicate
Brennan.Tobias
Feb 18, 2016 19:38
this was really a shame
Brennan.Tobias
Feb 18, 2016 19:38
4
Q:
Number of solutions for $x^2 \equiv x \pmod m$
What is the number of solutions of $x^2 \equiv x \pmod m$ for any positive integer $m$?
congruences
Brennan.Tobias
Feb 18, 2016 18:28
hello
Brennan.Tobias
Feb 15, 2016 17:59
hi
Brennan.Tobias
Feb 15, 2016 00:16
ok thanks anyway
Brennan.Tobias
Feb 15, 2016 00:14
can someone help me with analytic number theory please?
Brennan.Tobias
Feb 14, 2016 15:13
I set a bounty on my prime gaps question
Brennan.Tobias
Feb 14, 2016 15:13
Hi
Brennan.Tobias
Feb 12, 2016 16:10
if so you could look over an answer to a question I asked?
Brennan.Tobias
Feb 12, 2016 16:10
is anyone interested in number theory/prime gaps
Brennan.Tobias
Feb 12, 2016 16:10
hi
Brennan.Tobias
Jan 20, 2016 13:28
Hello
Brennan.Tobias
Jan 14, 2016 15:43
hi
Brennan.Tobias
Jan 7, 2016 14:47
hello
Brennan.Tobias
Jan 4, 2016 21:47
hello I have a question about polynomials
Brennan.Tobias
Jan 3, 2016 14:51
bye!
Brennan.Tobias
Jan 3, 2016 13:57
if J is an ideal containing I
Brennan.Tobias
Jan 3, 2016 13:57
oh no it's just (R/I) / (J/I) = R/J
Brennan.Tobias
Jan 3, 2016 13:55
@ms.mop, im there's a theorem like (R/I)/(J/I) = R/(I+J) I think
Brennan.Tobias
Jan 3, 2016 13:55
hello
Brennan.Tobias
Jan 3, 2016 01:02
I'm just studying algebra
Brennan.Tobias
Jan 3, 2016 00:57
hey :)
Brennan.Tobias
Jan 3, 2016 00:52
hello