For me, GenAI's like Wiki on steroids. Drill deep & broad, go w/flow (2nd order conditions for nonlinear SDP when stationary point not exact) - interactive learning w/ renaissance teacher who's not always right. Critically think about what GenAI says; call it out when wrong, which it usually admits.

As MIT undergrad, did UROP on Dial-A-Ride in Center for Transportation Studies. Hani sat 5 feet from me. His 1st OR course used H&L. Told me was hardest book/course he ever had. That's how I first heard of OR. I skipped H&L; undergrad Math right to OR PhD courses at MIT (as undegrad), then Stanford.

Often overlooked: the price of some paths may be highly uncertain.

Does this technique allow construction and SC proof of a barrier for Symmetrized Quantum Relative Entropy (SQRE), defined as SQRE(A,B) = QRE(A,B)+QRE(B,A) ? This would hopefully allow use of a single symmetric cone instead of 2 asymmetirc cones?

Very nice. It would be interesting to see how many "unsolved" (Erling's challenge) problems on ask.cvxr.com could now be conic reformulated, and to what extent computer algebra type techniques might help in finding such refomulations, along the lines of ask.cvxr.com/t/ph-d-thesi... .

Now fixed (at least for me).

Yes, water will freeze at 27 degrees Fahrenheit because the freezing point of water is 32 degrees Fahrenheit, so any temperature below that will cause water to freeze; 27 degrees is below 32 degrees.
Key point: Water freezes at 32 degrees Fahrenheit.

Can single precision cut the mustard on first order methods, such as PDHG for LP (perhaps if followed, if needed, by some type of repair step or crossover in double precision)?

Sorry. I meant single vs. double precision.

What precision is used on GPU?

Corollary: If if A and B are symmetric d x d matrices and B is positive definite, then AB is diagonalizable.

How does energy (electricity) used to solve the problem compare between GPU and CPU?