Aesthetic equations

1 + 2 + 3 + ... = -1/12

Euler-Lagrange equation > all

>>8524937
damn really made me think

>>8524937
>posting the meme equation
>>>/b/

>>8524941
>not just writing [math] \delta\int_a^b L(t,q,\dot{q}) \mathrm{d}t = 0[/math]

pleb detected

>>8524941
>>8525067
ive seen it in lectures but never quite understood it. anyone explain?

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>>8525067
Oy that makes me moist
>Not just tattooing it in your arm

>>8525082
There is a quantity called action defined by the time integral of the difference between the systems Kinect energy and potential energy. The principle of least action says that of all the possible paths the system can evolve in configuration space, there is only one which is true and that is the path where the quantity "action" is stationary (I.e. minimum, maximum). The Euler -Lagrange equations are the result of this principle, and with them you can obtain the equations of motion from the system.

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>>8525093
>not tattooing this

Join this guy >>8524941

plebo

>>8525067
Fancy way to say[math]\bold{F}=m\bold{a}[/math], dear anon...

>>8525176

Yeah, connecting quantum mechanics and classical mechanics is real fancy, yo.

>>8525082
It basically nullifies everything you learned in physics up until that point. All you need to know how to do is how to determine how much energy each part of your system has, and then just plug everything in and do the math. It only gets more complicated if you're dealing with non-inertial reference frames, but correction term for that isn't hard to introduce.

>>8525093
Reminder that there's no laws but differential forms. Least action principle is a mathematical trick that follows from differential laws and taking it literally is a form of mental ilness

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>>8525214
>Least action principle is a mathematical trick

Who decides which 'mathematical tricks' are to be interpreted as physical principles and which ones are not? You? Calm down senpai

>>8525214
>babby doesn't know quantum mechanics

Get back to school, kiddo.