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.

acciozouis:

Typical Harry Styles (x)

If you did a Secret Santa, who would you want and what would you buy them? x

Aww,

dailydoseofonedirection:

We have Louis who always uses proper grammar :)

Then we have Niall who just shortens words sometimes.

Next we have Zayn who tweets some deep deep deep stuff :’)

Then we have Harry who is super sweet and uses good grammar

And then there’s Liam………………………………………………

reblogging purely for the love of the Liam gif…..

liam is a special snowflake

a very special snowflake

derp derp