792 reputation
1628
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location Victoria
age 26
visits member for 1 year, 10 months
seen 5 mins ago

Don't know much of anything bout nothing.

i up-vote pretty much everything i feel contributes to the site.


30m
comment Want to ensure my proof is rigourous enough.
so you use the transitive property ?
30m
accepted Want to ensure my proof is rigourous enough.
1h
revised Want to ensure my proof is rigourous enough.
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1h
comment Want to ensure my proof is rigourous enough.
well i guess you decide to rewrite y as xc where c > 1 and get $ c^{k-1} > 1 $ but that still doesn't help finish the proof
1h
asked Want to ensure my proof is rigourous enough.
1d
comment example of uncountable set
@PeterFranek I think you mean the number of subsets of a countably infitite set like the power set of the natural numbers?
1d
comment If $f$ is continuous at $x_0$, then $|f|$ is continuous at $x_0$
@Surb ah my bad thanks.
2d
comment Solve a second order nonlinear equation
I would approach this by converting it into a matrix, $ z= (u' )^2 $ if someone answers and has some free time could they comment about approaching it that way i'm really curious about this one but its been too long since i did something at this level.
2d
comment Don't understand proof that convergence implies Cauchy
you want to write $e1 > e2/2$ dont you? so on the third line you know that the e2 < e1 ( e1 = epsilon e2 = epsilon prime in your example having some latex issues) either way your defiantly don't want an = sign on your line one cause then you cant show that it converges
2d
revised Whether a $2 \times 2$ matrix of rank $1$ has a zero eigenvalue
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2d
answered Whether a $2 \times 2$ matrix of rank $1$ has a zero eigenvalue
2d
revised Simple Equation Does my proof work?
deleted 35 characters in body
2d
revised Simple Equation Does my proof work?
added 219 characters in body
2d
accepted Simple Equation Does my proof work?
2d
comment Simple Equation Does my proof work?
omg i get it we can Square the equation because we both side are positive because of the absolute value sign
2d
comment Simple Equation Does my proof work?
my point is if you start running your $x_1$ into the equation you wrote down where $ 0 < x_1 < 1 $ you go straight to 0 not to infinity so clearly the function isnt increasing in that range cause it got smaller.
2d
comment Simple Equation Does my proof work?
Rolighed whats (1/2)^2 and is it bigger than 1/2. i think oyu mean when $ x_1 \geq 1$ then $x_2^2 \geq x_1^2$
2d
comment Simple Equation Does my proof work?
If you want intuition on the situation id look at it like a vector where if vectors a and b are in the same quadrant as each other then its an equality but if they are not its an in equality. that being said you can but the same logic to you $a/b$ equation when a and b have the same sign its an equality when there signs differ you have an inequality same idea but harder to visualize in my head. also your case 2 is flawless it answers everything but x=0 why'd you break it up? not sure why but its easier to picture something in 2D for me
2d
revised Simple Equation Does my proof work?
added 272 characters in body
Dec
15
comment Simple Equation Does my proof work?
thats what i tried to do originally but can you really square both side like that? i talked myself out of this exact proof by thinking $0.1 \geq -2$ and then squaring both sides it doesn't hold up why can we do it here?