Lagrange Multipliers - why is the gradient perpendicular to boundary curve at an extrema on the boundary curve

Lagrange Multipliers - why is the gradient perpendicular to boundary curve at an extrema on the boundary curve

I am referring to this video at timestamp 10:38. He says that if there is a maximum on the curve, the curve should be flat. The gradient of f should be perpendicular to f at the point. Since, in an earlier part of the video, he said that the boundary curve is not a level curve (but the constraint is)? I don't get why the gradient of f should be perpendicular. Any help or intuitive explanation, please.

youtube.com
u/Far-Storage-4369 — 21 hours ago

Question on GRA/GTA and Tuition Waiver - MS/ME in Electrical Engineering (Power Electronics, CPES)

Hey everyone!

I’m an international student looking into Virginia Tech for a thesis-based MS program, as I heard it's easier to get GTA/GRA funding. I’m trying to figure out the financial roadmap and would love some first-hand advice from current MS/MEng students or recent alumni.

  1. Securing a GRA/GTA: I know thesis-based tracks have better funding odds, but what is the actual process like? Should I cold-email professors before arriving, or wait until classes start? Any specific tips or tricks that worked for you?
  2. Tuition Waivers: If you land a GRA or GTA position, does VT cover 100% of the tuition, or is it just a partial waiver? Are there any hidden student fees that the assistantship doesn’t cover? Can I survive if I have a full tuition waiver and some stipend or on-campus job?
  3. International Support: As a non-US citizen, are there any other department-specific scholarships, fellowships, or on-campus wage jobs I should look out for?
  4. Internships & Placements: How is the job market looking right now for VT master's grads? Do companies actively sponsor H-1B visas at the engineering career fairs, and how supportive is the department with CPT approvals for summer internships?
reddit.com
u/Far-Storage-4369 — 11 days ago

Working of Boost Converter

Why does the inductor current in the boost converter decrease during (1-D) time when it's still connected to the source? Shouldn't it just stay constant, since as it de-energizes and releases the current to load, it should also get re-energized and get back its current? Idk if the question makes sense, but it has been bothering me, and I couldn't find any conclusive answer, and I thought this subreddit might help.

reddit.com
u/Far-Storage-4369 — 2 months ago

A rant about engineering curriculum and request for career guidance

As an electrical engineering student who just finished third year, I feel like I lack any technical skills. Anything I want to do, I have to ask AI, watch a YouTube video, or look up a tutorial online. Sure, I have a decent enough GPA, getting a scholarship, and I finish all the labs relatively easily, but they’re not a real thing since a lab is just a manual that I follow.

If you ask me to program a simple Arduino program, I would need to search online, let alone make a project. I always have these ambitious ideas to make cool projects, like building some RC car or something real-world, but I cannot start. I cannot think of what I know, what I need, or what I need to learn.

Every time I try to learn something, I keep falling into the rabbit hole of 'let me learn its prerequisites first,' and the cycle continues. I never actually do anything. I feel like there are so many things in electrical engineering: coding, embedded systems, electronic components, circuit simulation, and everything has its own software to do it, and on and on. You get what I’m trying to say.

Am I the only one who is like this? Am I lacking something? Like, what is wrong with me? By the time I graduate, in this job market where I barely secured a summer internship on some ethnicity quota BS, what kind of technical skills should I have? I have no clue. I see people online sharing their projects, and they’re students like me. Heck, the kids who apply to MIT, seeing their maker portfolios, makes me depressed, because somehow at 18 or 19, they know more than a 21-year-old who is three years into an engineering degree.

reddit.com
u/Far-Storage-4369 — 2 months ago
▲ 2 r/cs50

CS50P: getting "bad transparency mask error" when ran shirt.py

https://preview.redd.it/ya1b1tn4ib3h1.png?width=1744&format=png&auto=webp&s=b7ab1c477000da471d4261d4f689b7b863747dcc

https://preview.redd.it/9alnxwu5ib3h1.png?width=1232&format=png&auto=webp&s=6c33a6a325d631a75d0bda7a3e35e2daa3a64d90

Did anyone else get this error as well, or is it just me? I have tried different things with my code, but it doesn't position the shirt properly. When I try this, it gives me this absurd error, and I don't know what to do.

reddit.com
u/Far-Storage-4369 — 3 months ago
▲ 2 r/cs50

CS50P: check50 isn't working on my test_fuel code

https://preview.redd.it/g4obchs2033h1.png?width=1888&format=png&auto=webp&s=b7301fa170a049e82feb3d8ff09b013cafdaac41

https://preview.redd.it/jq5jz3y3033h1.png?width=1034&format=png&auto=webp&s=7d70db220a240c91705cf0456cdacf03c7ef4e1a

https://preview.redd.it/j1xrhl05033h1.png?width=2220&format=png&auto=webp&s=6c94f8f6b3c432ccac83095afb271f19a318e4e7

I have attached pictures of fuel.py, test_fuel.py, and the terminal result. As shown, pytest passes all the tests, but for some reason, check50 isn't passing anything. I have been trying to solve this for the past hour. Am I overlooking some silly mistake or what? Plz help. Thanks in advance.

reddit.com
u/Far-Storage-4369 — 3 months ago