anuttarasammyak's latest activity
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.My bad. I wrongly thought they are real symmetric matrices, or normal matrices. -
anuttarasammyak reacted to Sciencemaster's post in the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors? with
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Are you sure? I'm pretty sure that ##\begin{bmatrix}1&4\\1&1\end{bmatrix}## has the eigenvectors ##\begin{bmatrix}2\\1\end{bmatrix}##... -
anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.For c=2 it is impossible that both the two vectors are eigenvectors. I misinterpreted you mentioned they are eigenvectors...
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.In your example the two vectors are orhogonal so -c^2+1=0. Am I misunderstanding you? QDQ^{-1} is a general form of matrix which has...
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anuttarasammyak replied to the thread A The Lagrangian of a free particle ##L=-m \, ds/dt##.This is also true for SR Lagrangian. For SR Lagrangian pk has the factor \frac{1}{\sqrt{1-v^2/c^2}} as we see in...
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anuttarasammyak replied to the thread I Applying Lorentz Force correctly.You don’t have to do it. Integrating the contribution of all the parts we will have zero net force on the wire. Not static, not...
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anuttarasammyak replied to the thread I Is ##p^k = \partial L / \partial \dot{x}^k## true for all ##L##'s?.“The generalized momentum "canonically conjugate to" the coordinate qi is defined by “...
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anuttarasammyak reacted to Mark44's post in the thread Solve the given differential equation with Like.
There's no guarantee that an ODE devised more-or-less at random will have an analytical solution. Your approach of checking for...
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anuttarasammyak reacted to chwala's post in the thread Solve the given differential equation with Like.
Thanks for the thoughtful input — actually, I’ve taken this as a personal challenge! I’ll be applying the Runge-Kutta method to this...
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anuttarasammyak replied to the thread A Show positivity and boundedness of a non-linear system.The first equation is, when N>>1 \frac{dN}{dt} \approx -\frac{r}{K}N^2 < 0 So N seems to be upper bounded. The third equation is, when...
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anuttarasammyak replied to the thread Solve the given differential equation.Say we have a point (x,y)=(x_0,y_0) on the solution, (x_0+\Delta x, y_0+\Delta y) is also on the solution, where \frac{\Delta y}{\Delta...