I feel like people who don’t like salads really just don’t like salad dressing (and vice versa, I guess).

Smother those salads in a simple red wine vinegar and Dijon + EVOO dressing and I’d be plenty happy.

Also, 1.21GW is famously used in Back to the Future.

That almost makes sense, but pi radians = 180°

Right, a triangle “has 180deg,” like I said.

in which case π÷n is infinitesimally small. In other words, substituting infinity for n would be incalculable

That’s not how limits work. Substitution is not the same as taking the limit.

infinite and infinitesimal numbers are impossible to express rationally.

That’s not true at all. https://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%2B_⋯

It’s not about colloquialism or language

Having one word (or phrase) with two meanings is a property of language.

That’s exactly my point, there are two different colloquial ways of talking about angles. I am not claiming there is a mathematical inconsistency.

Colloquially, a “triangle has 180 degrees” and a “circle has 360 degrees.” Maybe that’s different in different education systems, but certainly in the US that’s how things are taught at the introductory level.

The sum of internal angles for a regular polygon with n sides is (n-2)×pi. In the limit of n going to infinity, a regular polygon is a circle. From above it’s clear that the sum of the internal angles also goes to infinity (wheres for n=3 it’s pi radians, as expected for a triangle).

There is no mystery here, I am just complaining about sloppy colloquial language that, in my opinion, doesn’t foster good geometric intuition, especially as one is learning geometry.

I don’t think we’re talking about the same thing.

If you take a circle to be the limit of a polygon as the number of sides goes to infinity, then you have infinite interior angles, with each angle approaching 180deg, as the edges become infinitely short and approach being parallel. The sum of the angles is infinite in this case.

If you reduce this to three sides instead of infinite, then you get a triangle with a sum of interior angles of 180deg which we know and love.

On the other hand, any closed shape (Euclidean, blah blah), from the inside, is 360deg basically by definition.

It’s just a different meaning of angle.

See, for example, the internal angle sum, which is unbounded: https://en.wikipedia.org/wiki/Regular_polygon

Triangle, “has 180 degrees,” subtends 360 degrees.

Circle, “has 360 degrees,” the sum of the interior angles is infinite.

(I’m not actually confused, it’s just that “a circle has 360 degrees” and “a triangle has 180 degrees” is a little annoying in that they use different definitions.)

SEA vs. NE, it said so right on the TV.

…now, why Seattle-Tacoma International Airport and an intercardinal direction are playing each other is anybody’s guess. Maybe one of the runways has a nasty NorthEasterly crosswind?

Where energy efficiency isn’t a concern (maybe a blender or a toaster) this sounds nice, but otherwise…well…lots of wasted energy.

(Of course, it all has to be balanced against the cost of manufacturing/disposing.)

Heat pumps want low temperature differences, so I’m not sure you’re going to have much luck getting a heat pump oven to 475F/~250C.

Give turnips a shot! Make sure to add a beet so they get that almost neon purple color (ok, really “argon purple”) like you find in middle eastern restaurants.

The history of the smallpox vaccine is fascinating iirc — milk maids, orphans-as-storage+transportation, really crazy stuff.

And after reading about it, one thing that’s neat is that it makes sense. You don’t need to talk about homeopathic “water memory” or whatever, and you don’t even need a solid understanding of biology — the whole thing just kinda…makes sense.

And yet, here we are…

OP needs to stop Chase-ing up votes.

I had an…interesting…take home exam in college. The max score was 100, but the test had 200 points. So, if confident, you could answer half the exam and still get the highest score; if not confident in answers, you could answer more questions and rely on partial credit

It was a week long take home, “open everything” (book/Internet, but no discussions online or IRL). In some ways the hardest exam I ever took, but I learned a lot, and some of the questions were specifically meant to introduce new subjects.

my pro tip.

I see what you did there.

VNC? You have your choice of servers, and clients are ubiquitous.

A big gotcha is that you need to be careful with encryption/security, as in classic UNIX style VNC does one thing (remote desktops). It’s easy to forward over ssh though.

You can also use VNC to share, which is not what you want; this depends on the type of server/settings. But you can definitely create a new virtual X11 session and access it remotely.

I don’t think it does—I think OOP is doing the math and then inputting the sum.

The thing that fascinates me is that every single digital microwave I’ve ever used behaves the same way, and allows the “seconds-place” to be 0-99.

My best guesses are

• There’s some ASIC that’s been around forever and everyone uses it (a cockroach chip like the 555)
• The first digital microwave did this and all subsequent ones followed
• There’s actually some implementation reasons why this is way more sensible.

Writing it in software, there are different ways that folks would probably implement it, for example, “subtract one, calculate minutes and seconds, display” seems reasonable. But nope, every one I’ve ever used is just the Wild West in the seconds department.

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Right now the only thing I genuinely feel is missing that would increase my happiness, is an exercise routine.

I’ll put in a plug for cycling. You can nerd out over the latest bike gear, restore vintage bikes, or just pay the nice folks at your local bike shop to set you up and focus on the riding, it’s up to you!

You can also ride “unplugged,” or you can measure speed, cadence, heart rate, even power output (if you spend $$$)—again, something for everyone!

Good luck!

Mac at work. Yabai+sketchybar is no i3wm replacement, but it works ok.

My .zshrc is basically the same as I use on my personal computers, and aside from a few coreutils differences it…kinda just works. I have apt aliased to brew so I can feel more at home.

Stock terminal works fine—I use xterm on Linux, so I’m used to relying on tmux for nice features anyway.

Basically, I miss the window manager, but practically speaking that’s a about it. (I obviously have xscreensaver installed!)