Ehh, completed infinities give me wind…
Why, a hexvex of course!
Ehh, completed infinities give me wind…
Reals are just point cores of dressed Cauchy sequences of naturals (think of it as a continually constructed set of narrowing intervals “homing in” on the real being constructed). The intervals shrink at the same rate generally.
1!=0.999 iff we can find an n, such that the intervals no longer overlap at that n. This would imply a layer of absolute infinite thinness has to exist, and so we have reached a contradiction as it would have to have a width smaller than every positive real (there is no smallest real >0).
Therefore 0.999…=1.
However, we can argue that 1 is not identity to 0.999… quite easily as they are not the same thing.
This does argue that this only works in an extensional setting (which is the norm for most mathematics).
Extra fact - in the USA almost all games use long weighted reels.
I believe this is by law, but may be misinformed.
Also, if you know the rng gen you can game machines: a very very clever group in Russia bought up old machines from defunct casinos, reverse engineered the games, and then developed an app that let a user photograph x number of spins to find out what the seed was for the next spin, and from there told them to bet high or low based on the upcoming game. They made millions, and farmed it out to make more. (https://www.wired.com/2017/02/russians-engineer-brilliant-slot-machine-cheat-casinos-no-fix/)
Never really worked with them (we never made them).
I think they’re lower prize threshold cat Bs.
In the UK, slot machines fall into 4 main categories. Of particular interest are category C machines, as these can remember a fixed number of previous games. I.e. the “myth” that a machine is “about to pay out” because “someone lost a lot to it” can hold for these games.
Cat A and B machines are completely random, previous games can have no impact on probabilities of winning (though pots can climb).
Online games have different rules, not always fair ones!
Oh, and ALL games (in a physical location) must (by law) show “RTP” (return to player) somewhere. It usually gets stuck it in a block of text in the manual since no-one reads them. (If it’s below 97.3% just go play roulette as it offers better returns).
https://www.youtube.com/watch?v=-Im4YAMWK74
Relevant follow-up (videos explore Korean gender politics and hierarchical society).
Wow… They want to give AI even more mental illness and crippling imposter syndrome to make it an expert in one niche field?
Sounds like primary school drop-out level thinking to me.
You know, this thread really needs a list of of the publishers responsible for this travesty.
“Publishers Hachette Book Group Inc, HarperCollins Publishers LLC, John Wiley & Sons Inc and Penguin Random House LLC” - According to Reuters
You definitely have a point; informing and evangelising are closer than we’d like to admit. Then again, the messenger is often as important as the message - in the case of the vegan debate too many folks choose the moral option rather than the pragmatic one.
As a species, we find it hard to empathise with the death of our own at massive scales, why would we be capable of doing it for organisms we were brought up to consider food?
However, almost all of us are on a massively reduced budget, it’d be a shame if folks shared delicious recipes that can be made cheaply and just so happen to be vegan right?
The next best thing for a non-vegan to do isn’t to switch right away, it’s to start finding vegan things you enjoy more than meat!
Sorry to hear that, I hope things start looking up in the future.
Happy trails!
To enjoy life as a vegan?
The best thing for a vegan to do is to keep being a vegan. Seriously, just keep on doing it.
It doesn’t mean evangelise, it doesn’t mean denigrate, it means just carry on doing what works for you.
If you’re insulting other folks, or trying to push a lifestyle, odds are folks don’t dislike you because you’re vegan.
Capitalists AND Reviewer 2… Never underestimate the power of Reviewer 2 in publication!
Alas, I do have a plan involving retirement. It is filed under “things that happen to other people”.
The probability I’ll survive to retirement age is negligible, why worry about it?
Mathematics Lecturer (just teaching foundation mind).
It’s far more fun than people think, but with next to no real holidays (summer is actually quite busy). Also it sucked being on temporary contract, because you had no idea if you’d have work in 12 months no matter how good you were.
Good to know.
Now here’s a thought - what if the real workaround Google are using here is targeting only non manifest V3 users?
That would reduce the cost of doing this, since chrome users are already forced to swallow ads and could just be served as normal.
Boozy Bay, it has an export industry in adventuring parties due to the booming tavern industry.
Thanks for the bedtime reading!
I mostly deal with foundations of analysis, so this could be handy.