What are some thoughts/ideas/music/videos/etc. that give you chills?

StupidSolipsist · 1 month

Freedom is the freedom to say that two plus two makes four. If that is granted, all else follows.

Draksis314 · 1 month

What's in a name? That which we call a rose by any other name would smell as sweet.

ThrindellOblinity · 2 months

Better yet, using electrons.

ThrindellOblinity · 2 months

Whoa... so when I go to sleep, the world just skips several hours (from my perspective, which is the only perspective that matters to me).

Mind = blown.

madelinerose7 · 2 months

Welcome to Reddit!

madelinerose7 · 2 months

it was weird to find out that something a 10 year old said made such a huge impact.

Read To Kill a Mockingbird, if you haven't already.

fmlfml1 · 2 months

Not quite. Newton's notation is still occasionally used for indicating differentiation with respect to time. x-dot (an x with a dot on top) is shorthand for dx/dt, x-double dot (x with two dots on top) is shorthand for d^{2x/dt^2,} and so on a so forth.

However, this is generally used in physics only, and not pure mathematics.

fmlfml1 · 2 months

Feel free to downvote me if I'm wrong, but wouldn't you expect that Archimedes would have caught on? It's somewhat common sense that the rate of change in the area function (that is, the derivative with respect to x of the indefinite integral of a function from a constant to x) is equal to the function itself. Every small unit you increase x, a slice of f(x) proportional to the value of f(x) at that x is added to the area.

Of course, he still wouldn't have written a "full proof".

StephenWolfram-Real · 2 months

I just gave a few random examples. If you want more, just google "opencourseware".

StephenWolfram-Real · 2 months

Nope.

www.khanacademy.org

http://ocw.mit.edu/index.htm

http://oyc.yale.edu/

http://see.stanford.edu/

The list continues.

Dovienya · 2 months

We are told to remember the idea, not the man, because a man can fail. He can be caught, he can be killed and forgotten, but 400 years later, an idea can still change the world.

Draksis314 · 2 months

God damn it, you're right. I'm so disappointed in myself.

Upvoted.

opioneers · 2 months

A student in my high school social studies class thought that China was in Antarctica.

I don't want to live on this ~~world~~ planet anymore.

opioneers · 2 months

As a high school student in AP Statistics right now, I can say that it is the most useful math class I have taken since 6th grade.

clifwith1f · 3 months

That is a really interesting idea. Say there were two portals separated by distance X. An object falling through these portals must not gain or lose energy, that is, 1/2mv² + mgh - PortalEnergy must remain constant (1/2mv² is kinetic energy and mgh is potential energy), where h is the object's height above the ~~ground~~ bottom portal. If we assume PortalEnergy only has an effect when an object moves through the portals, PortalEnergy would equal mgX. So the energy required to sustain the portals would be proportional to the vertical distance the portals traversed times the mass of the object going through times the acceleration of gravity.

clifwith1f · 3 months

That's conservation of kinetic energy. Kinetic energy is related to how fast you are going.

However, there is another type of energy too, potential energy. This is related to how high off of the ground you are, the higher you are, the more potential energy you have. You can make a portal somewhere near the ground, then one high up on the ceiling, and suddenly you've hopped through a portal and created potential energy out of nowhere.

clifwith1f · 3 months

Your second paragraph just summed up General Relativity perfectly. Had you thought of this before Einstein did, you would be famous.

Unfortunately, your first sentence isn't right. Gravity isn't caused by the universe expanding.

clifwith1f · 3 months

No, I think you're confusing a couple concepts. c is constant to ANY observer, no matter what they are doing.

If you are in a rocket going 0.5c (relative to a stationary observer), you will see the photons moving away from you at 1c. If you are that stationary observer, you will see the photons moving away from you at 1c as well.

clifwith1f · 3 months

You are being downvoted because your first paragraph is vague in terms of reference frames.

twice the speed of light

same speed as the train

clifwith1f · 3 months

Unfortunately, when we start getting into speeds near the speed of light: fuck those high school physics equations; they are completely useless. As others said, you will begin to gain mass due to Lorentz factors, and you would end up with funny relativity stuff.

Disclaimer: Don't ask me for more details, I'm not a scientist.

xeqache · 3 months

EDIT: IGNORE THIS, EVIDENTLY I WAS INCORRECT. SORRY FOR THE CONFUSION.

Just as 0.999... = 1, so does 1.00....1.

(Please excuse my lack of LaTeX knowledge)

Let x = 1.0000...1

10x = 10.000....1

10x - 9 = 1.0000...1 = x

10x - 9 = x

x = 1

Draksis314

TROPHY CASE

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