docktahwatson:

My dash did a thing.

docktahwatson:

My dash did a thing.


The brachistochrone
This animation is about one of the most significant problems in the history of mathematics: the brachistochrone challenge.
If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?
Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.
Johann Bernoulli posed the problem to the mathematicians of Europe in 1696, and ultimately, several found the solution. However, a new branch of mathematics, calculus of variations, had to be invented to deal with such problems. Today, calculus of variations is vital in quantum mechanics and other fields.

The brachistochrone

This animation is about one of the most significant problems in the history of mathematics: the brachistochrone challenge.

If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?

Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.

Johann Bernoulli posed the problem to the mathematicians of Europe in 1696, and ultimately, several found the solution. However, a new branch of mathematics, calculus of variations, had to be invented to deal with such problems. Today, calculus of variations is vital in quantum mechanics and other fields.

Supernova Girl by Proto Zoa

dylypulitzer:

thatzak:

#1 party track

yo honestly this song is so fucking sick like with the landing spaceship in the beginning are you fucking joking this song is actually out of control amazing

And to you, if you have stuck with harry until the very end ϟ.

wintermoth:

gallifreyanconsultingdetective:

One of my favourite shows:

image

One of my least favourite shows:

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Do you see my problem

this is accurate and it hurts

I realized the other day, that I got into Doctor Who just as series 5 was starting, which basically means that I had about half of a season that was worth watching, coming out new each week. After that half of a season, I didn’t get the authentic experience of having a good cliffhanger three part season finale like in series 4 or a really significant character development episode, or even a really good filler episode, but instead got treated to “weekly blockbusters” that were in some universe supposed to form a cohesive series long story arc. I never got to experience good who as it was just coming out and it makes me sad.