Recent content by pbuk

I'm not sure how wrong this guy Monroe Pattillo is, or if he is just a bad explainer: .

Yes, and the rest of the SA article seems to check out too. Looks like my skeptic spider sense was over-excited by the publication date!

What is the date on that SA article? And if you missed that, surely the bit about mating a south east migrator with a south west migrator to get a bird that flies due south should have alerted you? Edit: despite publication on 1 April 2022 it seems that the article is genuine o:)

This thread is about sailing boats, that well-known monstrosity has no place here :wink:

Yes, I am not sure why I wrote what I did (now corrected) - I was tired after a long day sailing!

Passwords should be hashed rather than encrypted. Use password_hash with the default bcrypt and automatic random salt but consider increasing the cost option. I haven't looked at your GIT link, I am just inspecting your http responses.

Yes, it looks like it. session_start must be called before any output is sent. It seems like you are unintentionally sending multiple byte order marks (and should not be sending any - they are invalid in XHTML and unnecessary in plain HTML) as well as comment tags before the DOCTYPE...

I wouldn't recommend JWTs for a single-server site, stick with stateful sessions.

Different posts here have provided parts of the answer, I'll attempt a summary for this specific question: In order to offset the [Edit: heeling moment] sideways force generated by the wind on the sails, the keel must generate a given amount of lift. At sailing boat speeds, high aspect foils...

These articles are 15 years old and do not contain information that is useful today. In 2026 the standard for stateless authentication is the JSON Web Token, however for many applications stateful sessions are a better solution.

No, we do not need to look for rational tangents. We can actually ignore condition 1 altogether: All we need is condition 2: Niven's Theorem gives us that the only possible value for both alpha and beta are 30°, and ## 30° + 30° + 90° \ne 180° ## Wikipedia gives a link to a freely available...

Indeed. If the OP is satisfied that they can "derive" ## v = v_0 + at ## by plotting ## v \ vs \ t ## and observing the slope then how can they reject "deriving" ## v^2 = v_0^2 + 2 a x ## by plotting ## v^2 \ vs \ x ## and observing the slope?

Simulation is a good way to verify an answer (I did just that here), but will not help you learn anything. No. For part (b) sketch the graph I suggested in #2. For part (c) think about another way of writing ## E(AB) ##.

Indeed. I cannot believe this is what the author intended - see below. Wow, that book should be a lot better than it appears to be from these two questions. I can only imagine that this material is so early in the book and at such a basic level that it has not been properly reviewed. This...

You could try drawing the area that satisfies X1 + X2 > 1 on a graph with x2, p(X2=x2) axes and see if that helps.