/sci/ - Science & Math

[Anonymous No.4828451]

hlp

[EK !EKFnQG0UBo No.4828459]

dont write it in paint, you fucking pleb! this is /sci/
latex it or GTFO.

also, your handwriting is shit.

[Anonymous No.4828472]

>>4828459
ek plz go

[Anonymous No.4828473]

>>4828459 Yes, its /sci/, not /ic/.

[Anonymous No.4828477]

you are differentiating with respect to what?

[Anonymous No.4828476]

<div class="math"> \frac{df}{dm}=\frac{da}{dt}</div>

[Anonymous No.4828479]

<div class="math">\frac{\mathrm{d} F}{\mathrm{d} t}=\frac{\mathrm{d^{2}}p }{\mathrm{d} t^{2}}=\frac{\mathrm{d} }{\mathrm{d} t}(\dot{mv}+ma) = (\ddot{mv}+\dot{m}\dot{v}+\dot{ma}+m\dot{a})=(\ddot{mv}+\+2\dot{ma}+m\dot{a})</div>

[Anonymous No.4828480]

<div class="math">\frac{\mathrm{d} F}{\mathrm{d} t}=\frac{\mathrm{d^{2}}p }{\mathrm{d} t^{2}}=\frac{\mathrm{d} }{\mathrm{d} t}(\dot{mv}+ma) = (\ddot{mv}+\dot{m}\dot{v}+\dot{ma}+m\dot{a})=(\ddot{mv}+2\dot{ma}+m\dot{a})</div>

[Anonymous No.4828483]

>>4828476 lol, dm - its diff of mass?

[Anonymous No.4828489]

>>4828459
>implying EK can answer OP's question

[EK !EKFnQG0UBo No.4828492]

>>4828489
>talking in 3rd person
>responding directly to my post

[Anonymous No.4828642]

>>4828451
you need to pick a variable in which to take a derivitve with, dF is meaningless. derivitves are with respect to a certain variable..

EK go fuck your self with a cactus, who made you so high an mighty?

[mtp !EKFQOBEsKo No.4828664]

>>4828459
i always write in paint for sci :(

[Anonymous No.4828682]

Am I missing something? Shouldn't it be F=(m)(dv/dt)

[Anonymous No.4828700]

>>4828459

EK can't into science, starts bitching about handwriting!

[Anonymous No.4828710]

>>4828642
>you need to pick a variable in which to take a derivitve with, dF is meaningless. derivitves are with respect to a certain variable..

Dude, physicists commit this abuse of notation all the time/

[Anonymous No.4828733]

does latex code work in /sci/?
testing

\begin{equation}
\frac{df}{dm} = \frac{dv}{dt}
\end{equation}

[Anonymous No.4828735]

>>4828682
since classically p=mv, assuming mass is constant <span class="math">
\frac{dp}{dt}=m\frac{dv}{dt}
<span class="math">
>>4828710
when they do there is the denominator on the other side of the equation[/spoiler][/spoiler]

[Anonymous No.4828745]

>>4828710
Just because it doesn't make intuitive sense to you doesn't mean it is an abuse of notation.

It is called the total differential and it works mathematically and is very useful.

[Anonymous No.4828752]

>>4828733
just use [ math] [ /math] tags and put your latex equations inside for inline things like <span class="math">\pi[/spoiler].

and use [ eqn] tags for larger equations like
<div class="math">\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_{0}}</div>

[Anonymous No.4828757]

>>4828752
thanks!
testing.
<div class="math">
\frac{df}{dm} = \frac{dv}{dt}
</div>

[Anonymous No.4828767]

OP in an idiot. <span class="math">F^{\mu}\neq m^\mu \partial_\mu v_\mu[/spoiler], it's <span class="math">F^{\mu}=\partial^{\mu} p^{\mu}[/spoiler]

There's no formal use/meaning of infinitesimal force, it's just an infinitesimal force. An infinitesimal of displacement with the inner product of force, however, is kinetic energy.

[Anonymous No.4828764]

>>4828745
Eh, I'm a physicist (or at least I was) and I'm perfectly comfortable with this notation. But I still acknowledge that it's an abuse of notation. No need to get all tetchy and start throwing accusations.

[Anonymous No.4828805]

>>4828710
>>4828764
It's not an abuse of notation

http://en.wikipedia.org/wiki/Differential_form

[Anonymous No.4828815]

>>4828767
Tensor fail
<span class="math"> F^\mu = \partial_0 p^\mu [/spoiler]

[Anonymous No.4828817]

>>4828805
>post barely relevant wikipedia link
>job done

Sure whatever man.

[Toasty !gn3CQCJSIU No.4828821]

>>4828459
Fuck you, EK. You're not better than anybody.

Oh, and saging because the question was mostly answered by >>4828767 . No hard feelings, OP.

Captcha: Microscopic hystory

[Anonymous No.4828823]

>>4828817
How the hell is it barely relevant? Do I have to do all the work here?

>>The object df can be viewed as a function on U, whose value at p is not a real number, but the linear map df_p. This is just the usual Fréchet derivative — an example of a differential 1-form.

[Anonymous No.4828826]

>>4828815
Thanks

[Anonymous No.4828828]

Well there is jerk and jounce and so on

http://en.wikipedia.org/wiki/Jerk_%28physics%29
http://en.wikipedia.org/wiki/Jounce

but pure dF can also made sense of in a way, as others pointed out. Although F is conventionally not a form a priori. But e.g. in Euclidean space, you can easily find that corrosponding object.
http://en.wikipedia.org/wiki/Musical_isomorphism