Main post link -> http://youtu.be/KGpb3_XkEvg

What are some important math equations that you know of?

The video link has several high-level equations and concepts. What have you seen thus far that you consider important?

Main post link -> http://youtu.be/KGpb3_XkEvg

What are some important math equations that you know of?

The video link has several high-level equations and concepts. What have you seen thus far that you consider important?

No vote yet

8 votes

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestI'm surprised that Euler's Formula, \(e^{\pi i}+1=0\), isn't mentioned in the video. It might not necessarily be the most useful formula around, but it sure can be beautiful. – David Altizio · 4 years, 6 months ago

Log in to reply

– Eder Contreras Ordenes · 4 years, 6 months ago

That isn't a formula, is an identity.Log in to reply

– Harshit Kapur · 4 years, 6 months ago

Then take \(e^{ix} = \cos x + i\sin x\)Log in to reply

– Eder Contreras Ordenes · 4 years, 6 months ago

^ That's a formula, but what he posted, not.Log in to reply

– David Altizio · 4 years, 6 months ago

Ah, true, pardon my mistake.Log in to reply

|adj [ adj { . . . ( adj A )] | where A is of nth order and adjoint is for x times = |A| ^ [ (n-1)^x ] – Vinay Sipani · 4 years, 6 months ago

Log in to reply

I should point out that it listed the definition of the derivative when it mentioned the fundamental theorem of calculus... oops? It appears it also confused topology with topography when mentioning Euler's formula for polyhedra (i.e. the Euler characteristic for planar graphs). – O B · 4 years, 6 months ago

Log in to reply

E = mc^2 fail

Real thing E^2 = (mc^2)^2 + (pc)^2, with p momentum

More info

So.... Yeah

Funny how they get the most important equation wrong XD – Elvin Gu · 4 years, 6 months ago

Log in to reply

Likewise, we can consider the Pythagorean theorem a specialized case of the Cosine rule. However, I don't think you will say that Pythagorean theorem is wrong.

Minute physics rocks though! – Calvin Lin Staff · 4 years, 6 months ago

Log in to reply

– Jaydutt Kulkarni · 4 years, 6 months ago

Absolutely to the point !!!! The Pythagoras theorem however famous is a special case of the cosine rule which accounts for all angles of a triangle .... also i found that the special relativity formula was given for a special case where the object in question is at rest !!!! Still a valiant and daring attempt to select only 10 knowing that they'll be tons of detractors !!!Log in to reply

When we get into something called differential geometry, we encounter things called "Riemannian manifolds," which are, essentially, manifolds with a metric tensor. The metric tensor for \(\mathbb{R}^n\) (where \(n\) is a positive integer) is simply the identity matrix of order \(n\), so the "cosine rule" and Pythagorean Theorem reduce to their familiar forms. The more general rule is given by the metric tensor if we want to talk about noneuclidean spaces.

Wolfram's "Mathworld" gives a decent introduction, though it is not in any way rigorous.

While I'm on the topic of differential geometry,

where is the generalized Stokes' Theorem in that video? – Jacob Erickson · 3 years, 8 months agoLog in to reply

– Elvin Gu · 4 years, 6 months ago

But in the video it directly puts that it "explains behavior of objects at very high speeds" which makes p definitely not 0, so it contradicts itself. :DLog in to reply