qjkxbmwvz

If you can build up intuition around Fourier decomposition I think it gets much easier to understand.

Multiple things going on at the same frequency are indistinguishable (up to a phase). Lots of stuff going on at different frequency can be separated. Light also has frequency (color) and volume (intensity)---it may be more intuitive to conceptualize in this way.

A professional degree is historically different from an academic degree though. Math, chemistry, physics, biology, computer science---these typically produce (well compensated!) professionals, but they are not professional schools.

I am professional; I get paid to do the kinds of things that I did in grad school. But afaik no one would say I hold a professional degree.

All of this is besides the point of course---our student loan system shouldn't disqualify people based on these sorts of semantics.

I was interpreting the quoted text as encompassing all engineering fields, e.g., EE, mechanical, computer, etc.

If that's not the case and this is for specific professional engineering degrees then yep, I certainly agree with you.

I was interpreting the quoted text as encompassing all engineering fields, e.g., EE, mechanical, computer, etc.

If that's not the case and this is for specific professional engineering degrees then yep, I certainly agree with you.

If you search around you might find free ones. Oracle has/had a free tier (though it's Oracle, so...).

Yes, but you can run multiple VPS, from different providers, simultaneously.

What I like is that while it does depend on an external provider, it doesn't depend on a specific external provider. Any VPS with a public IPv4 would work.

VPS+VPN, this is what I do.

VPS has public IP and runs WireGuard "server"* and a reverse proxy (and fail2ban...). Reverse proxy points to my home computer over the WireGuard link. No open ports on my home router.

For private facing/LAN-only services I just don't have an entry in the VPS reverse proxy. DNS on the router points everything to my local server, so if at home I access everything directly. To access internal services remotely requires VPN (i.e., WireGuard to the VPS).

Works well; I have a tiny free tier VPS but even so, no complaints.

*Yes I know there are no wg clients or servers, only peers, but it plays a server-likr role.

In a VHCOL area, $100k with one child is extremely tough/you're likely dipping into savings. Our daycare alone is over $40k/yr per kid, and only $5k ($7500 next year) is fully tax exempt.

Median 2 bedroom in my area is over $50k/yr.

$100k doesn't cut it. "Just move to a cheaper area" is IMHO not a proper response to this---anyone who works in my city should be able to afford to raise a family here, with a high quality of life/standard of living, but that's not really the case.

Economically mediated de facto sterilization is an extremely dystopian thing to just accept. I think it's pretty justified to be more or less outraged in this case.

The messaging on 50 has been great IMHO. Basically, "this is an affront to democracy, but Texas did it first and if we take the moral high ground we're screwed."

Americans had "unity" after 9/11

Uh, no we didn't. Source: am American, lived through that period.

Yes we had a brief period of unity (and solidarity with NYC) following 9/11, but as soon as the American War Machine woke up, my country was intensely divided.