This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
|
vpde_errata [2020/04/09 09:09] trinh [Solutions] |
vpde_errata [2020/04/28 06:42] trinh [Solutions] |
||
|---|---|---|---|
| Line 23: | Line 23: | ||
| * PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. | * PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. | ||
| * **PS9 Q2:** There is a missing factor of $p$ on the bottom here. See Lecture 29. | * **PS9 Q2:** There is a missing factor of $p$ on the bottom here. See Lecture 29. | ||
| + | * **PS9 Q4:** Looks like axes were doubled here. //(Courtesy RA, HC)// | ||
| + | * **PS10 Q2:** Looks like there are a few $\kappa$s missing on the right hand side (I count three); **Q3** In the redefinition of the energy (above "So now you are back to..." | ||
| ==== Lectures ==== | ==== Lectures ==== | ||
| * Correction to {{ : | * Correction to {{ : | ||