/sci/ - Science & Math

>>10412806
>he doesnt know how to define the class of cauchy sequences and mod out the class of sequences that converge to zero, effectively obtaining the real numbers

>He doesnt know that you can find a cauchy sequence that converges to the least upperbound.

>>10081713
>>10081830
>>10081830
I spoke too soon. I didn't want to lose you.
After actually working through the problem myself, I am happy to accept this as a suitable solution.
I hope you enjoyed working on it.

I'm have a problem with a rearrangement of an equation. Given is the equation:
[eqn]\begin{split}
U&=\frac{Nk_BT^2}{q}\cdot\left(\frac{\partial{}q}{\partial{}T}\right)_{V,N} \\
&=Nk_BT^2\cdot\left(\frac{\partial\ln{}q}{\partial{}T}\right)_{V,N} \\
&=-Nk_B\left[\frac{\partial\ln{}q}{\partial{}(1/T)}\right]_{V,N}
\end{split}
[/eqn]
My problem is that I have no idea which rules were used to rearrange this partial differentiation. Can anyone help me out? I'm sure it's something simple but I can't get my head around it.

This thread is for questions that don't deserve their own thread.

Tips!
>give context
>describe your thought process if you're stuck
>try wolframalpha.com and stackexchange.com
>How To Ask Questions The Smart Way: http://www.catb.org/~esr/faqs/smart-questions.html

Previous thread: >>9146355

>>9116668
>>9116100
>>9115873
philosophy is the natural complement to mathematics. anything that cannot be explained/solved by one can be handled by the other. also, having taken the GRE, the reading/writing sections are literally made for philosophy majors. and any non-brainlet can score high enough on the math if they put in a good week of reviewing high school algebra and geometry.

>>9002793

http://photosounder.com

This thread is for questions that don't deserve their own thread.

Tips!
>give context
>describe your thought process if you're stuck
>try wolframalpha.com and stackexchange.com
>How To Ask Questions The Smart Way: http://www.catb.org/~esr/faqs/smart-questions.html

Previous thread: >>8976643

New stupid questions thread, old one maxed out

[eqn] \int_{sin(x)}^{sin(x^2)} sin(t^3) dt = ?[/eqn]