Scott G. Vs. The World

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Once you take your first step into the world beyond the ring of light you see shimmering in the waves before you… Your true trial will begin.

(Source: ditsycucco)

(Source: sifu-kisu)


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.

This is a really neat problem. It’s not so easy as to be trivial, but with a couple hints the solution comes together pretty quickly. Wolfram has a pretty good explanation of the solution here.

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.

This is a really neat problem. It’s not so easy as to be trivial, but with a couple hints the solution comes together pretty quickly. Wolfram has a pretty good explanation of the solution here.

(Source: saulofortz)

enchanter-of-brazening:

We’re in love and we’re REALLY ANNOYED ABOUT IT

(Source: catelyn-stark)

pumpkinfishes:

So we got some hamsters in at work.
And I just thought I’d share them with you guys.

pumpkinfishes:

So we got some hamsters in at work.

And I just thought I’d share them with you guys.

elenamorelli:

{ from the forest to the falls }

I want to go to there

I want to go to there

(Source: oceane-water)

thepurposeofplaying:

mumblingsage:

thepurposeofplaying:

shredsandpatches:

This is the greatest thing I have ever seen.

CRYING

Okay but how the hell am I supposed to dance to this. 

groovily

thepurposeofplaying:

mumblingsage:

thepurposeofplaying:

shredsandpatches:

This is the greatest thing I have ever seen.

CRYING

Okay but how the hell am I supposed to dance to this. 

groovily

(Source: popsonnet)