futurebird,
@futurebird@sauropods.win avatar

Someone on tumblr posted this survey to get the math people all riled up and I think it's working.

https://docs.google.com/forms/d/e/1FAIpQLSdMDLd0lCFZtwIDPU9VDRxQ0FCVAlpCML3j-Cfbfsf2S0S1hg/viewform

edavies,
@edavies@functional.cafe avatar

@futurebird Of the few I understood, 43 comes closest to an ambiguity that annoys me. What does sin²x mean?

I've seen it used for both. If it's the first answer to 43 then it must also be my first answer below, mustn't it?

My sister (independently) asked one of her mathematical physics lecturers about it and he said it was obvious from the context. Super!

Also, what does x/y/z mean? (x/y)/z or x/(y/z)? One of my computer science lecturers said it was formally undefined (by a vote at some mathematical congress or something) but I've not been able to find a reference.

futurebird,
@futurebird@sauropods.win avatar

@edavies

When using an exponent to apply a function more than once it should be in parenthesis. IMO

cavyherd,
@cavyherd@wandering.shop avatar

@futurebird

I don't know most of the jargon, & this is hilarious 😂

futurebird,
@futurebird@sauropods.win avatar

@cavyherd

People are MAD. Have some respect.

desperately trying not to smile
🤨🥴😡

futurebird, (edited )
@futurebird@sauropods.win avatar

OK. What am I missing. Who the heck thinks 1/x is continuous?

Or do they mean... continuous on the domain of definition? (edit for clarity )

barrygoldman1,
@barrygoldman1@sauropods.win avatar

@futurebird as opposed to not continous ANYWHERE it is defined, like

f(x) = 0 if x is rational
=1 if x is irrational

defined everywhere, continuous nowhere

for 1/x i think the point is tat if defined from R->R there is NO way to MAKE it continuous at 0

i think if you extend it to the complex numbers there is a way... i don't remember how it works.

f(x) =(x-1)/(x^2-1) CAN be defined to be continous at x=1

anyway that's how i'd look at things

petealexharris,
@petealexharris@mastodon.scot avatar

@futurebird

You can do all the things to it that you're allowed to do with continuous functions as long as you are only looking at an interval that doesn't cross zero?

futurebird,
@futurebird@sauropods.win avatar

@petealexharris

Yeah let's ignore the most interesting part of the function. Great.

glitzersachen,

@futurebird @petealexharris

It's difficult I seem to remember to talk about continuity without starting "continuous in x if for ever epsilon there is a small intervall around x , etc etc".

The function is "smooth" everywhere where it's defined. One has to admit this.

SleepyCat,
@SleepyCat@mk.absturztau.be avatar

@futurebird Continuous on the domain of definition is the only kind of continuity there is.

llewelly,
@llewelly@sauropods.win avatar

@futurebird
1/x is continuous iff x is in the set of surreal donut numbers. : )

TerryHancock,
@TerryHancock@realsocial.life avatar

deleted_by_author

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  • glitzersachen,

    @TerryHancock @futurebird

    It's not defined on 0, because there is no value it maps to.

    llewelly,
    @llewelly@sauropods.win avatar

    @futurebird
    oh, and the fifth octant is buried a hop, a skip, and a jump away from the fifth elephant, and it is a terrible cross between an octopus and an ant, and probably the source of the dungeon dimensions.

    llewelly,
    @llewelly@sauropods.win avatar

    @futurebird
    most of these, I can accept either way, so long as a given book or document spells out which convention they're following, and sticks to it consistently. But people who think f(x)=3 is "increasing" are not just wrong, they're spreading misinformation, and probably cackling with gleeful evil as they do so.

    barrygoldman1,
    @barrygoldman1@sauropods.win avatar

    @futurebird bored me.

    glitzersachen,

    @futurebird

    This is pure evil. Somebody will have to do penance for that. A lot.

    christianp,
    @christianp@mathstodon.xyz avatar

    @futurebird that is an impressively long list!

    futurebird,
    @futurebird@sauropods.win avatar

    This is the source of the survey:

    https://cims.nyu.edu/~tjl8195

    grumpasaurus,
    @grumpasaurus@fosstodon.org avatar

    @futurebird so where did you bury the bodies of your fellow survey takers

    futurebird,
    @futurebird@sauropods.win avatar

    @grumpasaurus

    Those who answer incorrectly on the math survey shall be upgraded in purpose to feed 'the girls' ... thus we all contribute in our way.

    kechpaja,
    @kechpaja@social.kechpaja.com avatar

    @futurebird There may need to be a version of this for linguists at some point.

    stevenray,
    @stevenray@sfba.social avatar

    @kechpaja @futurebird if that's done, I'll never recover.

    futurebird,
    @futurebird@sauropods.win avatar

    @kechpaja

    Blood would run in the streets

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