according to wikipedia, clairaut was "known for leading an active social life," and his "growing popularity in society hindered his scientific work." modern-day mathematicians have largely solved this problem.

@love_sodam but where did you deduce the existence of square roots?

what is meant when one says that a function "decays uniformly" or "converges uniformly to 0"? the term "uniformly" confuses me in this context... typically, uniform convergence is associated to the convergence of a sequence

i don't know what it would mean for a single function to 'converge uniformly' to something.

maybe it's some kind of quantification of a limit, but that's nonstandard terminology. what is the full context?

thanks for your answer, i found this reading a paper

but i think i got it: the function seems to depend on two variables

then "uniform convergence" in one variable could mean that one views the function as a sequence of functions of the other variable

that makes sense.

i guess that's it... well, thanks @leslietownes , sometimes it helps to write a question down to find the obvious answer

if i were writing that as opposed to reading it, i might explicitly include langauge that helps the reader along, e.g. "f(x,y) goes to 0 uniformly in y [in whatever set of interest] as x goes to (wherever)."

@WilliamJohn That's not the point. Without continuity, they can also have different values.

So, my suite (and neighbor's suite) is becoming increasingly COVID-y

again?

and, as of about a week ago, I have finished my 90 day post-infection period in which I am immune

Yeah, my apartment has also been smitten. My roommate got it and is hiding out. I'm hoping that my triple vaccination will keep me safe, but getting tested tomorrow. This s*** is real.

they haven't had any cases at my daughter's day care for over a week. fingers crossed

Cross more things.

3/6 on Wordle today :)

@robjohn MathJax is broken again on parts of the Activity page. Click on "Reputation", "All actions", "Responses", or "Votes". I also noticed that the "Responses" page now doesn't show the actual responses.

I meant that it doesn't show comment responses.

@RandomVariable I'll look. Have you posted to meta.stackexchange.com?

@robjohn No. Someone just posted about the missing comment excerpts.

@leslie, @Ted, @robjohn : @all-US residents can order four free Covid tests: covidtests.gov. My brother got his in a week, this monday. It seems to encourage two tests, the first on day x; if positive, try another test two days later. If negative, you're pretty much okay. The risk of false positives in significantly greater than false negatives.

How to get to this room easily, where is it exactly?

@amWhy I got mine! And have already used one of the four (negative, thank goodness, in an area with minimal vaccination, and in which over 75% of the population has had COVID in the last two years).

(One of our campus managers lost her husband to COVID last week---only a few months after getting the all clear after a year of cancer treatment.)

God, I'm so tired of March 2020. Will it ever end?

mohammed: you mean this chat? just the URL should work chat.stackexchange.com/rooms/36/mathematics

(For the record, I understand today's date to be the 725th of March 2020.)

@XanderHenderson Probably heading into a third year :/

@XanderHenderson Indeed!

On a light note, there were twins (2), born at 2:00/ 2:20 pm (respectively) on Twosday, 2/22/22!

Okay, office hours are over, I have no more meetings today. I'm out.

is there a name for a surface of revolution within a bounded 3d vector field obtained by collecting flow lines at a given radius from the center? My thinking is that this surface is a solution to the vector field

integral surface

Hi all. Quick question.

what does f(x,y) = x look like? Is it the same as just f(x) = x (I.e., a straight line?)

are you talking about their graphs? the graphs are different objects. one is a subset of R^3, the other a subset of R^2.

so they aren't the same. but cross sections of the graph of f(x,y) taken via planes parallel to the xz plane do look like graphs of the one-variable function.

Ah, I see! Thanks

can anyone see that I'm typing?