Recent content by docnet

In that sense, the most dangerous chemical is the one that stores the most energy right? something radioactive? :nb):eek:

I wonder if the fentanyl used by anesthesiologists has the same origin

Apologies, I somehow mistook you for a retired professor instead of a current one :oops:

I would personally consider Orodruin's advice with more care, because there's probably a good reason. He's also a legit retired university professor who has authored a textbook in physics 🧐

Alcohol, hands down. It kills more people than Fentanyl.

To be honest, what I'm struggling to understand is that if one's given several choices for ##(a,b)##, including one choice such that ##a=b##, the value of ## \max \{3a^2 + 2b, 3b^2 + 2a\}## with ##a=b## is not necessarily be the minimum over all possible choices of ##(a,b)##.

Awesome! To add, if ##a=b##, then $$3a^2+2b=3b^2+2a=3a^2+2a.$$ And the global minimum of ##3a^2 + 2a## for all ##a\in \mathbb{R}## is $$3\cdot \frac{1}{(-3)^2}+3\cdot \frac{1}{-3}=-\frac{1}{3}.$$ This indeed seems to be the minimum value of \max \{3a^2 + 2b, 3b^2 + 2a\} considering all...

If one considers that Cybertrucks range from $80,000 to $102,000 and the waitlist for buying one is around 4 years, these sellers are poised to make money from people who have lots of $$ and don't want to wait to buy one. And the inflated prices are probably a sign of the hype more than people...

Hate on the 'new' all you want, but cybertrucks are selling on the used market for $150,000 around me. o_O

My reply disappeared because the site is glitchy on my phone. I'll post a mother reply later 😕

Edit: If I'm understanding right, you can numerically model such a system as a function of space and time by assigning time-dependent vectors to predetermined 3-d grid points. A loose motivation is to evaluate the points as vectors of a vector field on a higher dimensional manifold. The grid...

Hey OP. The proof rests on the fact that if the left sided and right sided limits at ##x=0## aren't equal, then the limit at ##x=0## is undefined. You're almost there, just a bit more work is needed.

Google street view of the same spot 😅

The wrap-around windows look kind of cool, like the nose of a little airplane. The driver probably has a commanding view of the road lol.

Yes. And though somewhat tangential, there's a probability for the body to synthesize nonessential amino acid molecules from glucose. And the amino acids then have a probability of being assembled into insulin molecules. And alternatively, amino acids that are broken down in kidneys and liver...