this post was submitted on 08 Dec 2024
458 points (94.6% liked)
Technology
59976 readers
3693 users here now
This is a most excellent place for technology news and articles.
Our Rules
- Follow the lemmy.world rules.
- Only tech related content.
- Be excellent to each another!
- Mod approved content bots can post up to 10 articles per day.
- Threads asking for personal tech support may be deleted.
- Politics threads may be removed.
- No memes allowed as posts, OK to post as comments.
- Only approved bots from the list below, to ask if your bot can be added please contact us.
- Check for duplicates before posting, duplicates may be removed
Approved Bots
founded 2 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
no, it is not. the chance of it happening will be really close to 100%, not 100% though. there is still small chance that all of the apes will start writing collected philosophical work of donald trump 😂
It's not close to 100%, it is by formal definition 100%. It's a calculus thing, when there's a y value that depends on an x value. And y approaches 1 when x approaches infinity, then y = 1 when x = infinite.
it is not
you weren't paying attention in your calculus.
y is never 1, because x is never infinite. if you could reach the infinity, it wouldn't be infinity.
for any n within the function's domain: abs(value of y in n minus limit of y) is number bigger than zero. that is the definition of the limit. brush up on your definitions 😆
Except, that's in the real world of physics. In this mathematical/philosophical hypothetical metaphysical scenario, x is infinite. Thus the probability is 1. It doesn't just approach infinite, it is infinite.
oh boy, no. if anything, it would be the other way around. in real world calculations, you can sometime approximate and still get reasonably precise result, or boundary, depending on your needs. not so in math.
hence the jokes like "for mathematician, pi as a pi. for physicist, pi is roughly 3,14, for civil engineer, pi is roughly 3."
it is not.
x is not infinite. x is a variable, that is to be substituted by specific number. infinity is not a number, it is a concept that express the fact that you explore how the function behaves when you are substituting bigger and bigger numbers. but none of these numbers are "infinity". it is always specific number and the result never reaches the limit of the function. in this case, it is never 1, no matter how big number you substitute.
https://en.wikipedia.org/wiki/Limit_of_a_function