query: Difference between $dM/dt $ and $\partial M/\partial t$
positive_passages.docid: 103000
positive_passages.text: What is the difference between implicit, explicit, and total time dependence, e.g. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?
negative_passages.docid: 53610
negative_passages.text: What is the difference between $Q=\Delta U+W$ and $\Delta U=Q+W$?
negative_passages.docid: 117613
negative_passages.text: Interchange of partial derivative and limit
negative_passages.docid: 84984
negative_passages.text: What does $\partial_{\mu}$ mean?
negative_passages.docid: 104258
negative_passages.text: Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
negative_passages.docid: 87819
negative_passages.text: What is the difference between continuous derivative and derivative?
negative_passages.docid: 105264
negative_passages.text: Why are partial derivatives of a harmonic function also harmonic?
negative_passages.docid: 38482
negative_passages.text: What is $\Delta t$ in the time-energy uncertainty principle?
negative_passages.docid: 113970
negative_passages.text: Compute $\int_cd\omega$ and $\int_{\partial c}\omega$
negative_passages.docid: 53640
negative_passages.text: Equality of mixed partial derivatives
negative_passages.docid: 12869
negative_passages.text: Solving SDE: $dX(t) = udt + \sigma X(t)dB(t)$
negative_passages.docid: 91059
negative_passages.text: Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
negative_passages.docid: 90325
negative_passages.text: Why use the derivative and not the symmetric derivative?
negative_passages.docid: 138424
negative_passages.text: Scalar field Derivative. Real vs Complex
negative_passages.docid: 8711
negative_passages.text: Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
negative_passages.docid: 33278
negative_passages.text: $\delta$ differential notation
negative_passages.docid: 142821
negative_passages.text: 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] $