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.

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?

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.

A dishwasher is a total quality of life thing for us.

It sucks that some places don’t offer them. They’re not even very expensive, it’s just the kitchen real estate/installation that sucks.

A place I loved in after college had a full size unit on wheels that you hooked up to sink to use—worked fine, just took up space. They also make countertop units, but I have no idea how well those work.

You might say, “well akshually it should be sudo apt upgrade, because you shouldn’t generally use the the root account,” but some of us just have apt aliased to sudo apt.

I probably would have ordered my matrix so that my/my and (not my)/(not my) were the diagonal elements, but that’s just nitpicking I suppose.

That’s how I start my refried beans. After pressure cooker add oil (lots…), salt, and a little vinegar. Sauteed onions, cumin, chili powder also good.

I think it’s way better than any vegetarian refried beans that you get in a can. Probably because they have more salt and oil…

You’re thinking of an “educated bed.”

tumeric

*Turmeric. If I had a nickel for every time I’ve seen someone forget the first R I’d have like three nickels. Which isn’t a lot, but still kinda interesting.

Open, or standards-compliant local-only gear is the way to go for smart home stuff IMHO. Never had a problem with a Zigbee, Matter, or ESPHome device suddenly deciding it would stop working because manufacturer said so.

One of the best things about having an instant pot is the ease of making refried beans from scratch. They’re fairly low effort, and so so much better (not to mention cheaper).

Have you encountered modern shifters? They’re fairly involved.

Electronic shifting, hydraulic brakes, liberal use of sealed cartridge bearings, carbon fiber parts requiring strict torque specs…these are definitely different than 70’s friction shift ten-speed bikes.

Or, they’re about to collect their paycheck from the photoshoot they just participated in.

I know the “attack helicopter” bit is a transphobic trope, but given how hard those fans are probably working, I think this computer might actually identify as one.

(If this comment is offensive I can remove it/mod can obviously remove it — not trying to be a dick!)

You can have a lot of smart functionality and remain local-only (e.g., Home Assistant). All my smart devices are on their own VLAN with no Internet access — if something breaks it’s not the cloud’s fault, it’s mine.