For Monday, October 28th, 2023

  1. There is a test coming up Wednesday!  See the Tests tab above.
  2. Figure out how many points are in $\mathbb{P}^1_{\mathbb{F}_5}$ and $\mathbb{P}^2_{\mathbb{F}_5}$.
  3. Determine the points at infinity of the equation $Y^2 – X^2 + Z^2 =  0$ in $\mathbb{P}^2_{\mathbb{R}}$.  That is, figure out how many elements of $\mathbb{P}^2_{\mathbb{R}}$ satisfy the equation with $Z=0$.  (Hint: it is a finite number.)
  4. With remaining time, review for Wednesday’s test.  I will post example problems on the Tests tab ASAP.
  5. Note:  I’ve added Section 5.3 to the overleaf notes about pseudo-random number generators. We kind of had only a few minutes at the end of two lectures to talk about this, so it was a little chopped up. The notes should add a bit more info and clarify the main ideas.