[Other] Mathematical equations and formulas

[Rasofy]

tis a beautiful equation i hope it can not be disproved

http://www.nytimes.com/2011/09/30/opinion/30iht-eddas30.html?_r=1

Holy crap, they can't make the theory wrong because of 60 nanoseconds! Specially because Einstein is the most famous INTP representative.

 

[Thinkist]

Soh Cah Toa

its the one I have found the most useful

Related: Cao Sha Cho.

I've always hated equations. Memorizing boring shit that I don't care about. If I had to pick one I'd go with f'(x) = (limit as h approaches 0) f(x+h) - f(x) / h (the function for derivatives) because derivatives and integrals are awesome concepts

Another useful formula: f'(x)=y+dy=f(x+dx). Solve for dy/dx to find the derivative. Equally effective and much easier than limits.

...and that equation is less about memorizing what numbers go where than it is about understanding larger ideas.

That's what math is about, and it often isn't taught that way.

Other than that, I tend to like miscellaneous mathematical formulae I've derived.

 

[gmanyo]

Also recently just learned about Lorentz Transformations (from Yale!):

Really awesome. Relates how people view time, space, order of events, length of objects, etc. from relative velocity. Go Einstein!
(These are the main equations of relativity which lead to the more famous E=mc^2)

 

[Helios]

Hey guys ..

I would like to know what your all time favourite mathematical equation/formula is.

But I hate maths.

 

[Saslou]

But I hate maths.

I forgot about this thread. My bad.

That's OK .. Just rep me your all time favourite <Insert anything here>

 

[breakthrough]

The Gaussian distribution:

 

[gmanyo]

If I understood the Schrödinger equation I would probably like that one.

 

[redacted]

Bayes' rule.

It's magical.

 

[animenagai]

WTF? People actually have favorite formulas? This is news to me.

 

[RaptorWizard]

Ohm's Law
For many conductors of electricity, the electric current which will flow through them is directly proportional to the voltage applied to them. When a microscopic view of Ohm's law is taken, it is found to depend upon the fact that the drift velocity of charges through the material is proportional to the electric field in the conductor. The ratio of voltage to current is called the resistance, and if the ratio is constant over a wide range of voltages, the material is said to be an "ohmic" material. If the material can be characterized by such a resistance, then the current can be predicted from the relationship:

Ohm's Law - I=V/R or Electric Current = Voltage / Resistance

 

[Mal12345]

Ohm's Law
For many conductors of electricity, the electric current which will flow through them is directly proportional to the voltage applied to them. When a microscopic view of Ohm's law is taken, it is found to depend upon the fact that the drift velocity of charges through the material is proportional to the electric field in the conductor. The ratio of voltage to current is called the resistance, and if the ratio is constant over a wide range of voltages, the material is said to be an "ohmic" material. If the material can be characterized by such a resistance, then the current can be predicted from the relationship:

Ohm's Law - I=V/R or Electric Current = Voltage / Resistance

You got that from my sig!

 

[AdventureJason]

The binomial theorem & Pascal's triangle. It's the only time I have ever used advanced math in my career (software engineering) back around 1996. Which is why I put it #1.

I was an intern for a telecom company and the marketing department wanted to know how many of a certain type of circuit board to order. So someone gave the problem to the intern to play with for fun.

I instantly recognized it was some sort of common statistical problem. But rather than waste time figuring out which one and taking a lot of time assuring it was correct, I wrote a quick software program to simulate the entire statistical problem. Then once I had the stats that I knew were right, I noticed they fit a certain pattern. And so then I reverse engineered and saw they fit the Pascal's Triangle\binomial theorem or something like that.

So of course, I told my boss I solved it via the binomial theorem and Pascal's triangle and went through the formula showing it to him. And told him that I double-checked the work afterwards via a software simulation to prove it. That was a fun day for a 20 year old.