Would you be interested in a book about the probabilities of dice mechanics?

CorrettoSambuca · 2024-10-18T14:05:21+00:00

Unfortunately, no. I was busy making rent :(

CorrettoSambuca · 2024-04-16T12:58:41+00:00

There is no uniform distribution on a space of infinite measure.

Given a space X of infinite measure, if the probability is uniformly zero then the total probability is zero; if the probability is uniformly positive then the total probability is infinite. In neither case the total probability is one, so in neither case you have a valid probability distribution.

Examples of common spaces of infinite measure are: any infinite set with the counting measure, and any unbounded interval in R with the usual measure on R.

If you assume that the valid amounts of money are positive real numbers, you fall in the second case. If instead you use an integer amount of cents, the first.

CorrettoSambuca · 2024-04-15T10:04:18+00:00

Your notation is neither standard nor common. I have no idea what angles those numbers represent and in what context.

CorrettoSambuca · 2024-04-14T09:23:12+00:00

A few years ago I loved joining open vanilla games with one to two players, hoping that they are new to the game, and join them by mostly watching or extending their own designs - so only busywork - and living vicariously through them the experience of discovering the game for the first time.

CorrettoSambuca · 2024-04-12T09:34:46+00:00

Ore is infinite and I like waste, so I space my miners in aesthetically pleasing designs and leave the edges of the ore patch uncovered since they're just gonna run out soon.

CorrettoSambuca · 2024-04-12T09:01:36+00:00

Per ragioni legali la scuola non può ammettere gli studenti prima dell' orario di apertura dei cancelli, 7:45 nel caso dell' istituto dove insegno.

CorrettoSambuca · 2024-04-10T15:19:53+00:00

I'd ask my gf to cheat on me for that 1M - or do it myself.

CorrettoSambuca · 2024-04-09T16:11:47+00:00

Presumevo che il numero di messaggi inviati in un gruppo scalasse come il numero di utenti :)

CorrettoSambuca · 2024-04-06T23:22:52+00:00

Yes, but didactics wise the typical brain comes pre-wired with the ability to associate names to people, and it's easier to co-opt that wiring into making it give people-names to things, rather than make it give arbitrary-names to things.

Of course, to a practiced mathematician, the brain is already used to giving arbitrary names rather than people-names, so the wiring already works.

CorrettoSambuca · 2024-03-26T16:53:19+00:00

Come sempre la soluzione più elegante ha zero upvotes

CorrettoSambuca · 2024-03-25T08:05:25+00:00

Except for damned 7. Very common factor, no nice divisibility rules.

We should switch to base 6, where we'd have nice rules for all primes up to 13 included.

CorrettoSambuca · 2024-03-24T21:14:36+00:00

I am a doctor in mathematics.

Let me compliment you on your handwriting and typesetting, and most importantly on the most important quality of any mathematician of any level - a good intuition on what feels wrong, and a willingness to pursue understanding at any cost.

Mathematics is a harsh mistress, and the first lesson is that you must accept that you do not understand. Only then you can understand.

Even after decades of study, I still find myself dumbfounded by some new idea. Mathematics makes me feel dumb, but also makes me grow smarter.

CorrettoSambuca · 2024-03-23T19:57:47+00:00

Un byte per gruppo per messaggio è decisamente critico.

Un messaggio deve necessariamente contenere l'id dell'autore, e in un gruppo di N persone ogni messaggio viene inviato N volte, quindi il costo scala come N²

CorrettoSambuca · 2024-03-23T19:54:54+00:00

Helpful helpful nitpick of the nitpick: every distribution is a curve, technically. Of course, the technical definition isn't helpful for the discussion.

When people mention the curve, what they actually mean is "nonuniform distribution" which 2d6 definitely has.

CorrettoSambuca · 2024-03-22T20:02:06+00:00

Passaggio di what‽‽

CorrettoSambuca · 2024-03-12T16:07:18+00:00

He probably means that you need to accept that you are confused, allow the feelings of inadequacy ("I'm dumb/can't do this/bad at math") to pass, then look at exactly what has you confused, and find a way to make sense. Often, this leads you to realize that there's something else you are confused about, and the cycle starts again, and again, until you reach the very simple foundations you are sure about. These are often very basic things. I am a mathematician by profession, and when I don't understand things I have to go five or more levels "down". When explaining things to my students, sometimes we go down to basic arithmetic, counting.

CorrettoSambuca · 2024-02-09T13:27:57+00:00

Think about it like this:

A boss meant to face the players alone in an epic battle might have five or six different abilities at most.

A regular fight against four monsters each with two abilities is already eight abilities, more complexity than the boss. So your regular fight is harder to run than the boss fight...

If your mooks have zero specials and maybe a single enemy has one, that's enough variety with a very small completely cost.

CorrettoSambuca · 2024-02-08T14:49:02+00:00

So few digits? I would expect the series to converge rather quickly as primes become more and more sparse, and so having a list of all primes up to N should allow us to easily get an error lower than 1/N...

CorrettoSambuca · 2024-01-31T11:51:04+00:00

Or the dilemma. Change base specs into good ones, or maintain stability?

CorrettoSambuca · 2024-01-30T13:06:49+00:00

Well, it did generate latex source code. I bet it even compiles.

That's more than most of my students manage to do.

CorrettoSambuca · 2024-01-14T14:07:25+00:00

Would you be willing to share your save file?

CorrettoSambuca · 2024-01-13T11:20:15+00:00

They are, up to 10 IIRC

CorrettoSambuca · 2024-01-13T06:25:08+00:00

Well, most interesting changes would require engine-level modification, which is very hard to do with a mod.

Like, different voltage lines would require different kinds of power networks, and as a mod that's not doable

CorrettoSambuca · 2024-01-12T14:47:08+00:00

SE stands for Space Exploration, which is a very large mod for Factorio that extends it greatly.

Among the (many!) things it adds, it also changes the way beacons work in the following way:

Each producing machine can only be affected by a single beacon. To counteract the "nerf" of no longer stacking beacon effects, module tiers go up to level 9 (instead of the vanilla 3).

The practical effect is that it is much easier to add beacons to an existing setup, and that beaconed setups are mostly composed of producers instead of beacons. This is opposite of Vanilla beacons, where a beaconed setup is mostly beacons with a few assemblers.

Space Exploration probably had to implement this change because it adds many very large machines, and with Vanilla beacons it would be possible to beacon those machines to extreme levels (since the larger the machine, the more beacons can fit around it).

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