query: Why is $C_V$ used in this derivation?
positive_passages.docid: 18356
positive_passages.text: Internal energy of ideal gas undergoing reversible adiabatic changes
negative_passages.docid: 8711
negative_passages.text: Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
negative_passages.docid: 152686
negative_passages.text: How to derive $E=mc^{2}$?
negative_passages.docid: 105774
negative_passages.text: How is $ \cos (\alpha / \beta) $ expressed in terms of $\cos \alpha $ and $ \cos \beta $?
negative_passages.docid: 58445
negative_passages.text: What does the Canonical Commutation Relation (CCR) tell me about the overlap between Position and Momentum bases?
negative_passages.docid: 152895
negative_passages.text: What is wrong with this derivation of $\frac{d}{dx}x^2$?
negative_passages.docid: 88489
negative_passages.text: Derivation of the polarization identities?
negative_passages.docid: 69187
negative_passages.text: What's my confusion with the chain rule? (Differentiating $x^x$)
negative_passages.docid: 146033
negative_passages.text: Intuitive Proof of the Chain Rule in 1 Variable
negative_passages.docid: 90325
negative_passages.text: Why use the derivative and not the symmetric derivative?
negative_passages.docid: 142028
negative_passages.text: If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
negative_passages.docid: 71496
negative_passages.text: Explanation behind Second Derivative of a Parametric Equation Formula
negative_passages.docid: 16644
negative_passages.text: Why does cancellation of dots $\frac{\partial \dot{\mathbf{r}}_i}{\partial \dot{q}_j} = \frac{\partial \mathbf{r}_i}{\partial q_j}$ work?
negative_passages.docid: 40184
negative_passages.text: Notation in partial differentiation
negative_passages.docid: 90287
negative_passages.text: How to derive $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$
negative_passages.docid: 152781
negative_passages.text: Chain rule for multivariable functions confusion
negative_passages.docid: 150320
negative_passages.text: Why does $a^{b}·a^{c}=a^{b+c}$?