anuttarasammyak's latest activity
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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... -
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
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There's no guarantee that an ODE devised more-or-less at random will have an analytical solution. Your approach of checking for... -
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...
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anuttarasammyak replied to the thread Limit of piecewise function using epsilon delta.Please find below the plots of my understanding the situation. I hope it is not wrong and has some meanings.
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anuttarasammyak replied to the thread I Evaluate two complex integrals along a parabolic contour.Say z=r e^{i\theta} The first integral would be \int_0^1 dt e^{i \log r(t)}e^{\theta(t)} where r(t)=\sqrt{t^4-t^2+1}...
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anuttarasammyak replied to the thread I ##S_{n}(\alpha)=\sum_{k=1}^{n} (-1)^{\lfloor{k\alpha\rfloor}}##.I let EXCEL calcuate up to n=40 for approximate values of sqrt(2) and e. Without losing generality we can make ##|\alpha|<1## by...
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anuttarasammyak reacted to div_grad's post in the thread I Example of complete set of operators with Like.
In mechanics, degrees of freedom are understood in the same sense that is given in the textbook passages I sampled in post #7 above. It...
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anuttarasammyak reacted to PeterDonis's post in the thread I Example of complete set of operators with Like.
But these two freedoms are not independent. The "motion" is the time derivative of the position. So you can't count the "motion" as...
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anuttarasammyak reacted to div_grad's post in the thread I Example of complete set of operators with Like.
States in QM are given by complex wave functions, not by points in configuration / phase space. A classical free particle has ##3##...
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anuttarasammyak replied to the thread I Example of complete set of operators.As for the terminology question "Does "degrees of freedom" apply only for the coordinates in 3D space or also for 6ND coordinates in...
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anuttarasammyak replied to the thread I Example of complete set of operators.It has two degrees of freedom, angle and angular velocity or momentum.
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anuttarasammyak replied to the thread I Example of complete set of operators.A classical free particle has 6 degrees of freedom (x,y,z,px,py,pz) in phase space, https://en.wikipedia.org/wiki/Phase_space Two...
