Bed time.

Must sleep.

@XanderHenderson Then Seep! Err, then Sleep!

Okay... I got up, made some coffee... time for work!

Still haven't figured out how to properly "texture" milk.

It is harder than it looks. :\

@XanderHenderson Thanks for handling my flag earlier today.

@AlexanderGruber Thanks for your answer in Meta, today!

why is root of unity in complex analysis, $\theta$ + 2$\pi$ because the unit circle is 1.

@EM4 Please clarify what you mean, because mod 2 pi, $\theta + 2\pi = \theta$. The unit circle as radius equal to 1, hence circumference $2\pi r = 2 \pi \cdot 1 =2\pi$.

for example z^3 = 3

root of unity has three values

$\theta + 2\pi we do this for all theta on that equation?

in the unity circle

why not

just want ot know why we add 2pi after the theta

@EM4 I typically do not do math or teach math in this chatroom. It is nothing personal, I just don't come to this room to do that. There are other rooms focused on doing math in various disciplines, including the mathematics chatroom. I spend a lot of time on this site, on main, and in meta, so I typically come to chatrooms like this one to take a break from teaching and moderating.

@quid might be able to help you, but he is extraordinarily busy right now.

@EM4 Please understand that I teach full time, and I teach here on main, and I help moderate here, but sometimes teachers, like students, need to take a little break from teaching/studying. I come to this room primarily to to just that.

I respect it.

I was thinking of this awhile skating hahahah

Hey, if anyone plans on being around in the next couple hours, you're all welcome to happy hour (TGIF!) and I'll come around tomorrow, @user21820 for a Saturday happy hour (just tell me a good time.) After this week, I'll think about starting a chatroom apart from this room, for happy hour, as that way, I will be able to create "events" and anyone interested in following the weekly "happy hour" event can subscribe, if they desire for a weekly pre-notification.

Ping me if you stop in for happy hour! In the meantime, enjoy:

I should go get a beer.

I mean, it is only 3 in the afternoon.

But, I mean, it's always after 5 somewhere, right?

@XanderHenderson 3:00? It's 5:00 at my place!! Come to Wisconsin!! Oh, that's right, it's your crazy location in Arizona! ;-)

I'm in mountain standard time.

Something like a third of my students are on Navajo time, which is Mountain Daylight time.

But then a couple of students are on Hopi time, which is also mountain standard time.

@XanderHenderson Yes, correct, and in two months, I'll be just an hour ahead of you! (in Central standard time, though currently in Central daylight time.)

@Xander, but anywho, 3:15 pm works for me on a Friday, to start happy hour!

What's your favorite beer, folks??

@AlexanderGruber It's Happy Hour!!

@an4s, @ParamanandSingh, @sai-kartik, @Safdar, @CalvinKhor, Happy hour awaits!

I am really curious as to how Polish spaces came to be coined Polish spaces? Just an etymology question, I guess? Are there "Irish spaces" or "Zimbabwe spaces"?

@quid Sure, your too.

@amWhy Th Deschutes Brewery Black Butte Porter.

Thought the guy in Shoshone makes a pretty good pecan porter.

I'm kind of sad that I no longer have any reason to go back to Shoshone. :\

@amWhy They are called Polish because they were studied most extensively by Polish mathematicians. Tarski and Kuratowski come to mind. Oh, and Sierpinski.

My favorite bit of naming is "tropical geometry", so named because it was first discussed at a conference in the tropics.

Aw... Wikipedia disputes my etymology. :(

@XanderHenderson Sounds yummy. When I was in St. Louis, I had a thing for Shafley's Oatmeal Stout. I am not big on stouts, but that was rich and smooth!!

I like dark beers.

Unfortunately, my choices where I am now are pretty limited.

What I've got right now is a Lagunitas IPA

which is fine, but I'm a little bored of IPAs. :\

What exactly is an IPA? One of my nieces likes what I've come to refer to as "skunky beers". I could not bring myself to take more than one gulp from one she offered me.

skunky doesn't seem to encompass IPA's though, @Xander.

@amWhy India pale ale.

IPAs are light ales with lots of hops.

So they are bitter.

"Skunky" beer, or skunked beer, is beer which has gone off.

Something in the fermentation process has gone off, and the wrong microorganisms grow.

Don't drink skunked beer.

@XanderHenderson ah, I see.

Maybe my niece gave me an India pale ale, which, perhaps due to the bitterness, turned me off. But I clearly remember smelling what smelled like a skunk! literally, so that's what I thought of it as.

But perhaps something in the fermentation went off! I know I did not like the Stella she offered me, either. Belgium?

Stella is a Belgian pilsner, right?

But cheap and mass produced.

@XanderHenderson Yes, indeed.

Oh, I lied! Beer is skunked by exposure to UV light.

I just learned something new!

Yay!

@XanderHenderson Ohhhh! Don't ever lie to me again!!! >:(

I didn't do it on porpoise!

Can you forgive me?!

But that could explain it!

@XanderHenderson Of course. I'll rephrase: Don't ever lie to me on purpoise! >:-[

Heh.

My nieces are 25, one will be 26 in November, and the other in may 2021. So perhaps their beer supplies were not "up to snuff!"

Or I'm just pretentious.

I mean, I started drinking Scotch when I was about that age.

How do you drink your Scotch? On the rocks? I'm personally not a fan of sweet drinks, including sweet mixers.

@Xander When I was 16 (shame shame shame on me!), the first time I ever drank, or got drunk (and sick), it was on Blackberry Brandy. I can't even smell it now without feeling the urge to upchuck. I won't go close to Brandy either! Talk about a learning lesson!

@Xander I sort of wish users asking PSQ's and answerers answering PSQ's would suffer consequences like spilling their guts in a toilet! Talk about the learning lesson that would bring! ;D

@amWhy Neat.