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Welcome to Wikifunctions

wikifunctions.org

111–120 of 179 posts

Re: Welcome to Wikifunctions

#111
post #19

What is everyone's favorite function / formula? Mine is n/(n+x) It has a bunch of interesting aspects: As n gets bigger, it goes from 0 to 1. When n equals x, it is 0.5 As n gets bigger, the difference between n and n+1 gets smaller For two sufficiently large n's, the results are equal. Say somebody told you about a new cafe in town and that it is completely awesome. The best cafe ever. What probability do you assign…

How do you pick "x"?

I’m with you - I easily see how it affects the formula, but I’m not clear on how you decide what the right value, or range of values would be.

Re: Welcome to Wikifunctions

#112
post #110

Earlier quoted context omitted.

> Translation is free and instant for web pages. And also very often quite incorrect, and you don't know where. I think the general idea of a "universal language" Wikipedia, that gets flawlessly rendered into local languages, is laudable. But I don't think anybody would ever edit in it directly -- what I want to see is that when somebody edits Wikipedia to add a new sentence, it attempts to translate into the "univer…

I would still invest those resources into documenting more knowledge that currently doesn't exist online on their original languages and immediately translating to English. For better or for worse English is the "abstract" representation of language online and there's so much absent stuff that worrying about another universal format seems pointless.

It's not either/or. Different groups of people can do different things at once. And of the two things you're comparing, one is expert technical/engineering and the other requires expert archivists/translators. They're totally different groups.

Re: Welcome to Wikifunctions

#113
post #64

Earlier quoted context omitted.

Yeah, you're not the only one to think that https://en.wikipedia.org/wiki/Wikipedia:Wikipedia_Signpost/2...

So Wikipedia asks me for donations but does company off-sites in Switzerland with Google?

Do you think they should have to embrace austerity because they’ve asked for donations? Or do you think they can use donations in lieu of advertising dollars and otherwise function like any other similar company? Do you think it’s possible they were invited by google.org or received donations for the off-site itself?

I guess I’m not sure why this is remotely worth commenting on, but it seems to have struck a nerve. It’s like being upset that NPR takes donations but then gives its staff 15 minutes off to watch a tiny desk concert sometimes.

Re: Welcome to Wikifunctions

#114
post #48

Earlier quoted context omitted.

One way to view this formula is to use the fact that the Beta distribution is a conjugate prior for the binomial distribution. Essentially if you have a Beta(a, b) prior then your prior mean is a/(a+b) and after observing n samples from a Bernoulli distribution that are all positive, your posterior is Beta(a+n, b) with posterior mean (a+n)/(a+n+b). So in your example you effectively have a Beta(0, x) prior and x (“su…

Can this way to view the formula be expressed without the terms beta distribution conjugate prior binomial distribution bernoulli distribution posterior ? Because I could easily grasp that it is a "trust formula" in the way mg described it. But this way to "view" the formula is a mistery to me.

> Can this way to view the formula be expressed without the terms

You're asking "Can this way of viewing the formula in terms of Bayesian probability be expressed without any of the machinery of Bayesian probability?".

Re: Welcome to Wikifunctions

#115
Perhaps if this would have been introduced 20 years ago it may have gotten some traction. ChatGPT / AI seems like the ideal spot to request functions as it can also tweak - though honestly it isn't as good as I'd like it to be (yet).

Re: Welcome to Wikifunctions

#116
post #19

What is everyone's favorite function / formula? Mine is n/(n+x) It has a bunch of interesting aspects: As n gets bigger, it goes from 0 to 1. When n equals x, it is 0.5 As n gets bigger, the difference between n and n+1 gets smaller For two sufficiently large n's, the results are equal. Say somebody told you about a new cafe in town and that it is completely awesome. The best cafe ever. What probability do you assign…

This is similar to calculating probability from an odds ratio - if x = 1 and if n = your odds ratio, p = n/(n+1)

A neat explainer for how this helps with Bayesian updates (which is the update in trust that you're describing) is here - https://www.lesswrong.com/posts/QGkYCwyC7wTDyt3yT/0-and-1-ar...

Re: Welcome to Wikifunctions

#117
post #19

What is everyone's favorite function / formula? Mine is n/(n+x) It has a bunch of interesting aspects: As n gets bigger, it goes from 0 to 1. When n equals x, it is 0.5 As n gets bigger, the difference between n and n+1 gets smaller For two sufficiently large n's, the results are equal. Say somebody told you about a new cafe in town and that it is completely awesome. The best cafe ever. What probability do you assign…

How do you pick "x"?

Based on the application/your experience.

Re: Welcome to Wikifunctions

#118
post #48

Earlier quoted context omitted.

Can this way to view the formula be expressed without the terms beta distribution conjugate prior binomial distribution bernoulli distribution posterior ? Because I could easily grasp that it is a "trust formula" in the way mg described it. But this way to "view" the formula is a mistery to me.

> Can this way to view the formula be expressed without the terms You're asking "Can this way of viewing the formula in terms of Bayesian probability be expressed without any of the machinery of Bayesian probability?".

Have you ever heard of the "Up Goer 5"?

Re: Welcome to Wikifunctions

#119
post #68
post #64

Earlier quoted context omitted.

Yeah, you're not the only one to think that https://en.wikipedia.org/wiki/Wikipedia:Wikipedia_Signpost/2...

Wow. This feels like someone has taken a Borges parody and ran with it: > What is the scope of the new "Wikipedia of functions"? > [...] Vrandečić explained the concept of Abstract Wikipedia and a "wiki for functions" using an example describing political happenings involving San Francisco mayor London Breed: > "Instead of saying "in order to deny her the advantage of the incumbent, the board votes in January 2018 to…

My takeaway from this is that Wikimedia clearly has way, way too much money.

Re: Welcome to Wikifunctions

#120
post #113

Earlier quoted context omitted.

So Wikipedia asks me for donations but does company off-sites in Switzerland with Google?

Do you think they should have to embrace austerity because they’ve asked for donations? Or do you think they can use donations in lieu of advertising dollars and otherwise function like any other similar company? Do you think it’s possible they were invited by google.org or received donations for the off-site itself? I guess I’m not sure why this is remotely worth commenting on, but it seems to have struck a nerve. I…

Because nobody who survives on donations or taxes should have the luxury of consuming more than 800 calories per day.
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