How is $\mathrm dU=C_V\,\mathrm dT$ always true?
58822
$\Delta U$, $C_p$, $C_v$ for an ideal gas process
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
62192
Proof $L{\rm{[}}\frac{{x(t)}}{t}{\rm{] = }}\int_s^\infty {X(u)du} $
125763
If $\mathrm{tr}(A)=0$, then we have $A=BC-CB?$
62879
Question about the proof of $GCH$ holds in $\mathbf L$
4421
Proof that total derivative is the only function that can be added to Lagrangian without changing the EOM
8711
Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
123392
How does $cos(x) = \frac{\vec{v} \cdot \vec{w}}{|\vec{v}| \cdot |\vec{w}|}$ make sense?
49984
Valid justification for algebraic manipulation of $\mathrm{d}y/\mathrm{d}x$?
101888
Least action principle : is $ \delta \frac{dx}{dt} = \frac{d \delta x}{dt} $ always true?
85183
If velocity is constant, how can $p = F\cdot v$ be non zero?
142821
Why?$\int_0^1\int_{u(t)}^{u(t)+w(t)} f(t,v(t)) dv dt = \int_0^1 f(t,u(t)+\theta w(t))w(t) dt; ~~\theta\in[0,1] $
70880
Invariance of canonical Hamiltonian equation when adding the total time derivative of a function of $q_i$ and $t$ to the Lagrangian
9463
What is the proof that the universal constants ($G$, $\hbar$, $\ldots$) are really constant in time and space?
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
64727
Total time derivatives and partial coordinate derivatives in classical mechanics
33691
Confusion about a particular differential form being exact?