@SvenGeier@mathstodon.xyz
@SvenGeier@mathstodon.xyz avatar

SvenGeier

@SvenGeier@mathstodon.xyz

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signaturefish, to random
@signaturefish@mastodon.me.uk avatar

Some years ago, I read @cstross 's "The Jennifer Morgue" (good book, second in "The Laundry Files" series), in which a Smart Car with an "EJECT" button was a plot point.

I was idly wandering through Ebay while waiting for the dealership to invoice me for my new-to-me second-hand Smart Car last month. When I encountered someone selling an anodised aluminium "Eject" button that plugs into the cigarette lighter socket, I felt the heavy weight of inevitability settle across my shoulders :D

Closeup of the centre console of the car, showing a red button with an open flip-cover, the word EJECT written on it in white capital letters.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@signaturefish @cstross I'm a little afraid to ask, but what does it do when you press it?

lowqualityfacts, to random
@lowqualityfacts@mstdn.social avatar

My fan club keeps growing by the day.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@lowqualityfacts Wow - being compared to @dril. You hit the big times. Don't forget us little people now that you're truly famous...

lowqualityfacts, to random
@lowqualityfacts@mstdn.social avatar
SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@lowqualityfacts Better than the tooth chisels in use before that ...

ProfKinyon, to random
@ProfKinyon@mathstodon.xyz avatar

Using the Schröder–Bernstein theorem to prove that the closed interval [0,1] has the same cardinality as the open interval (0,1) is like using a nuclear reactor to boil an egg.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@ProfKinyon I'm unclear about the "X otherwise" branch: don't the other two cases already cover the full A⋃B range?

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@johncarlosbaez
Ah, yes, in the uncountable case this makes sense. I hadn't really thought that far...

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@johncarlosbaez It feels like in the countable case I should be able to re-order things into a bijection with ℕ first with (a_{n\in{ℕ}}) . I'm not a barbarian...

stefing, to uk
@stefing@mastodon.social avatar
SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@stefing Looks like that boy brings all the milkshakes to the yard ...🤷‍♂️

SvenGeier, to random
@SvenGeier@mathstodon.xyz avatar

#tilingTuesday (One image shows a zoom into the structure in the other).
This is approximately from ~2015

image/jpeg

foone, to random
@foone@digipres.club avatar

The only cyborg I've seen get it right is Inspector Gadget.

Because I can probably name ten people right now who would go for the "motorized screwdriver in the finger" surgery, yet it so rarely shows up in fiction.

But that's the transhumanist future I'm waiting for

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@foone
No comment

johncarlosbaez, to random
@johncarlosbaez@mathstodon.xyz avatar

Some mathematicians think there's nothing more fun than adding, but others beg to differ.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@johncarlosbaez Puns like this are the root of the differences between mathematicians...

ProfKinyon, to random
@ProfKinyon@mathstodon.xyz avatar

You: Denominators should always be rationalized!

Me: Sounds good, here you go: (\frac{1}{\pi})

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@ProfKinyon easy: (\frac{\pi^{-1}}{1}) ;)

lowqualityfacts, to random
@lowqualityfacts@mstdn.social avatar

Wow, you learn something new about orangutans every day.
https://patreon.com/lowqualityfacts

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@lowqualityfacts I bet my cat could too, if he wasn't so lazy...

ProfKinyon, to random
@ProfKinyon@mathstodon.xyz avatar

I still think "A and B are equipollent" sounds like it means "A and B have the same pollen allergies."

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@ProfKinyon A and B, which are competing for elected office, are polling equally well in the race...

julesh, to random
@julesh@mathstodon.xyz avatar

Old people, not content with merely destroying the economy for young people, are now trying to actively murder young people

image/png

SvenGeier,
@SvenGeier@mathstodon.xyz avatar
foone, to random
@foone@digipres.club avatar

I was copying a Totally Legal Game Backup onto my roommate's switch and it confused Windows so much that it told me I had the wrong floppy diskette in the drive.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@Rairii
𝚝𝚎𝚊𝚝𝚜_𝚘𝚏_𝚝𝚑𝚎_𝚔𝚒𝚐𝚗𝚍𝚘𝚖.𝚕𝚎𝚐𝚒𝚝._𝚘𝚛𝚒𝚐𝚒𝚗𝚊𝚕.𝚖𝚙𝟹.𝚎𝚡𝚎
@foone

lowqualityfacts, to random
@lowqualityfacts@mstdn.social avatar
SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@lowqualityfacts They're all penguins, of course, but still...

dpiponi, to random
@dpiponi@mathstodon.xyz avatar

Given a random number generator that generates points uniformly in the unit interval [0,1] can you generate uniformly distributed points in the unit circle using only algebraic functions? In a finite number of steps - so no rejection sampling, loops, recursion. No "almost always" finite either.

Just wondering about sitiations where it seems you can't avoid trig functions.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@BoydStephenSmithJr @dpiponi This has the same number of points on each circle around the origin, meaning the density goes to ∞ at zero.- definitely not uniform.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@dpiponi @BoydStephenSmithJr Yeah - I am definitely trouble coming up with the right words when it comes to ... "density"(?) of things. One of these millenia I'll write up where I think there's some missing nomenclature (and or ask whether maybe it exists and I'm just unaware of it)...

foone, to random
@foone@digipres.club avatar

Properly photographing a 3.5" floppy disk for archival is annoyingly complicated. The label has THREE sides!

I've already built an automated system to take a picture of the front of a disk, but really I need to take THREE photos if I want to get the whole thing.

That means either three cameras or I need to rotate the disk 90° and then 180°, which is going to really stress the limits of my mechanical engineering skills.

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@foone @The4thCircle I'm almost certain for the money you're spending on multiple cameras and 3d printed gadgets you could just hire a couple poor slobs on fiverr and make them take the pictures by hand...

SvenGeier, to random
@SvenGeier@mathstodon.xyz avatar
camilo, to art Spanish
@camilo@paquita.masto.host avatar

"Vigo the Carpathian. Born 1505, died 1610. He was poisoned, stabbed, shot, hung, stretched, disembowled, drawn and quartered... Not exactly a man of the people"

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@camilo
Really? Made it to age 105 in the 16th century? Respectable.

lowqualityfacts, to random
@lowqualityfacts@mstdn.social avatar

Wow, that's a lot of combinations.
https://patreon.com/lowqualityfacts

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@Greenseer @Walrus @lowqualityfacts
It's definitely true that there are 35 atoms in the universe, though. Maybe even more. But certainly at least those 35.

pvonhellermannn, to random
@pvonhellermannn@mastodon.green avatar

Sums up everything

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@RubyTuesdayDONO
ChatGPT gives you the most plausible or most likely answer you could expect if you asked the same question somewhere on the internet (or, more precisely, that parts of the internet that was used for training). It is quite literally a mirror, that shows you what humans say and do.
When you see ugliness in a mirror, it does not behoove a self-aware being to try to blame the mirror.

christianp, to random
@christianp@mathstodon.xyz avatar

Microsoft Teams continues to reveal its true nature as a billion sprint goals in a trenchcoat:

When you attach an image to a post, it's saved at the top of the Sharepoint folder belonging to the channel. (So the "files" tab becomes a cluttered mess, but that's not what I'm cross about now)

As well as restrictions on valid filenames, filenames of attachments have to be unique.

So if you've attached drawing.png once before, and upload another drawing.png, Teams asks if you want to replace the original, or keep both. If you keep both, it adds (1) to the filename.

... unless there's already a "drawing (1).png", in which case it asks you AGAIN what you want to do.

Is there a Big Brain Cloud Services reason it can't automatically find the smallest number that works?

#MicrosoftTeams

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@christianp @OscarCunningham
Of course what it should do is drawing (1,(1)).png ...

gregeganSF, to random
@gregeganSF@mathstodon.xyz avatar

I guess the best way to get spectacular improvements in the performance of your code is to do something spectacularly inefficient in the first version.

I’ve been working on a project that needs to perform computations on a quantity X along with several dozen of its derivatives wrt a parameter t, i.e. X'(t), X''(t), ... This is a form of “automatic differentiation”, but with a large number of derivatives.

There are simple rules for performing basic arithmetic on these vectors of derivatives; addition is trivial, and multiplication only grows linearly with the order of the derivative in the number of terms in each formula.

But the derivatives of 1/X and √X, written as sums of products of powers of derivatives of X, scale horrendously: the number of terms for the nth derivative is equal to the number of integer partitions of n:

1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, 231, 297, 385, 490, 627 ...

And for a while, I thought, well, that’s just the way it is, I’ll have to live with it.

But luckily that turned out to be very naive! In fact, you can just write down the formula for the derivatives of a product, X(t)Y(t) = 1, and then solve that system by back-substitution to get all the derivatives of Y from those of X. Similarly for the square root, from Y^2(t) = X(t).

So the payoff for being dumb in the first place was the glorious feeling of seeing my code now running exponentially faster than before!

SvenGeier,
@SvenGeier@mathstodon.xyz avatar

@gregeganSF
Instead of "I did something stupid" I shall henceforth say "I laid the groundwork for dramatic improvements in the future"

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