JordiGH @JordiGH@mathstodon.xyz

Oh, and one more, very important thing for #introductions' sake.

I belong to @moonbug and @moonbug belongs to me.

Time for new #introductions!

I'm Jordi. #Mexican expat living in #Montreal, #Canada. I can say expat instead of immigrant 'cause I've had a super-sheltered and comfortable life. Nothing dreadful has ever happened to me.

I like #mathematics, #knitting, #skating, #swimming, and old #gameing because I'm old (not that old).

I also do software stuff because of course.

I work on #GreenhouseGas assessments and #environmental #mapping, which I want to call #ecological cause we need that word again!

Hi, if you see that I'm recently following you again, that's because I had a little accident and I need to rebuild my account. Follow me back if you still want to hear the things I have to say!

🎶 ¡Mil campanas suenan en mi corazón! 🎵

The whole confusion with floats happens because 10 does not divide 2! So you can't exactly express in binary an exact expression in decimal. But the reverse is true, you can exactly express in decimal something in binary.

HOWEVER, you can certainly show more decimal digits after the 16th one! You see that mantissa? It has 52 powers of 2 in the bottom (denominator). You know what else has 52 powers of in the bottom? 52 decimal digits, because 2 divides 10!

So you can express, in decimal, the *exact* value that is stored in binary. You just need 52 decimal digits.

Try it! For example, in C++:

cout << setprecision(52) << 1.1;

1.10000000000000008881784197001252323389053344726562

Let's talk floating point!

The mantissas of IEEE 754 doubles are stored in binary, 52 bits + 1 implicit bit that is always on.
\[
m = 1 + \sum_{k=1}^{52} \frac{b_k}{2^k}
\]
That means that your precision in decimal ends up being around \(\log(2^{52})/\log(10) \approx 15.65\), so between 15 and 16 decimal digits.

But the actual mantissa is stored in binary, not in decimal. So everything after the 16th decimal digit is "garbage" 'cause you can't store anything smaller than \(1/10^{16}\).

I've spent this morning trying to explain floating point error to Excel users and probably not very clear about it. How has your day been so far?

Oh, and one more, very important thing for #introductions' sake.

I belong to @moonbug and @moonbug belongs to me.

Time for new #introductions!

I'm Jordi. #Mexican expat living in #Montreal, #Canada. I can say expat instead of immigrant 'cause I've had a super-sheltered and comfortable life. Nothing dreadful has ever happened to me.

I like #mathematics, #knitting, #skating, #swimming, and old #gameing because I'm old (not that old).

I also do software stuff because of course.

I work on #GreenhouseGas assessments and #environmental #mapping, which I want to call #ecological cause we need that word again!

In #FinalFantasy the "transform" ability in Japanese was first localised as "morph" because in Japanese it was originally actually shortened to "trans". In latter games, they instead decided that this would be "trance" in English, which actually kind of makes sense too, because your character would momentarily gain intense focus, change appearance, and become more powerful.

I'm trying to come up with good commentary for all of this, so until I do, I just have the bare facts.

I need some Mastodon technical help.

So, because I'm on a resurrected account, some things aren't quite right. While it appears I can interact fine with at least some people, it appears that some of my old followers can't see me. For example, chaos.social says "404" whenever someone from that instance tries to follow this account. I just tried creating an account there and following this one to confirm this odd behaviour.

Anyone know what's up?

I'm never going to get used to #github issue trackers also being used as help forums (and not for tracking problems or issues, if you will, with the software).

I'm getting so tired of US politics being a constant blame-game. "Oh, yeah, well your team it too, why wasn't anyone indignant about it?"

I hope this dumb polarisation stops soon and they can all go back to trying to get power back from the power-hungry like they should instead of fighting each other.

@m3dras Says here you like wrestling... what about Mexican wrestling?

https://www.youtube.com/watch?v=Ce02T7glGpo

I bought this candy only because I can't resist a good, bilingual pun. The French says, "Frank says to you hey, baie-baie" where "baie-baie" means" berry berry" but is pronounced like "baby".

I'm a slave to clever marketing.

Are *YOU* gay enough to stay in Austria?

I basically want to reimplement this. (This is a short video of #xfig, an old program for technical diagrams.)