hii guys! i'm Pilar,13. new york is my place - I'm insecure, I make mistakes, i don't know where i'm going, but ill figure it out along the way :) I'm learning how to trust and to live for the day...LET IT BEEEE...ilove *BOYS*vacations*best friends*the beach*starbucks*long hair*musicc*parties*&CATSS*i'm a hipster wannabe*i would kill for a belly button ring*i love MARILYN MONROE*NICKI MINAJ*ANDD EMINEM*...*ask me anything, personal or not!!*...single and waiting for a miracle babee-xxx //
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118 ♥ / 25 May, 2012

youstolemyhearttt:

niall, you precious little snowflake

15276 ♥ / 25 May, 2012

izsc00by:

Yeah, keep taking em all. (via imgTumble)

24895 ♥ / 22 May, 2012

32826 ♥ / 7 May, 2012

11169 ♥ / 7 May, 2012

1811 ♥ / 7 May, 2012

1517 ♥ / 7 May, 2012

59 ♥ / 7 May, 2012

22818 ♥ / 6 May, 2012

12920 ♥ / 6 May, 2012

33886 ♥ / 6 May, 2012

9131 ♥ / 6 May, 2012

[Flash 10 is required to watch video]

234120 ♥ / 6 May, 2012

dontfeedyourghosts:

keepcalmandbegroovy:

shelbeth:

cumbersome-quail:

my-m1lkshak3s:

omg

Seeing this presented as something other than.. well, traditional math- I might actually remember it! :3 Very cute!

this made me really sad

…Ah, heartbreaking as this is, there is one thing. The asymptote graph is technically inaccurate, - as said, the lines get closer and closer, without meeting, but an asymptote (to a plane curve) is actually a straight line in which the distance between the line and the curve will approach zero as they tend to infinity. These are the typical asymptote graphs, of course - but in the example above, two curves that approach each other at their minimum points are depicted, which…well, isn’t a representation of asymptotes. Rather, they’d look like this:

The asymptotes to the above graphs are y=0 and x=0. The larger the value (approaching infinity), the closer the curve to the axis, but they do not meet. The relationship isn’t between the two curves, as implied by the graphic!
Not to mention, a curve can actually intercept its asymptote. For example, take the graph of y=x(e^-x): you can see it here. Technically, y=0 is a horizontal asymptote by appeal to calculus (for large x, f(x) may be made as small as possible, and yet will always be positive). As you can plainly see, however, the curve passes through (0,0). And there we have it - a curve intersecting its asymptote.
…Oh dear, I think I’ve gotten carried away.

Asymptotes? LOOOOOOL…more like hyperbola, or something ._.

64466 ♥ / 6 May, 2012

201466 ♥ / 6 May, 2012

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