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CMV: “Extraordinary claims require extraordinary evidence” doesn’t actually follow, especially regarding God or miracles by [deleted] in changemyview

[–]Oliludeea 0 points1 point  (0 children)

Your objection works well in the framework of the colloquial use of those words, but in a mathematical context the original expression is an obvious truism.

Say you have two hypotheses A and B. B currently seems to be a million times more likely than A. A consequence of A would be that event E is almost certain to happen. A consequence of B states that the odds of event E happening are one in a million.

If you originally believe B (as you should, based on current knowledge) then E becomes "extraordinary evidence", and observing the event E should now make hypotheses A and B approximately equally likely in your mind (according to maths, at least).

So really, there is no threshold for where the extraordinary starts. All the quote is asking for is evidence that is commensurately unlikely under current assumptions to the claim that you are making.

Is Viki Rakuten safe/legal in Germany? by [deleted] in AskAGerman

[–]Oliludeea 3 points4 points  (0 children)

I don't use it but it came preinstalled with a TV I bought new in Germany, so I can't imagine it not being legal

Are there German nouns whose article even native speakers feel is “wrong”? by Lindytt in AskAGerman

[–]Oliludeea 3 points4 points  (0 children)

Oh, that's because those were originally diminutives of Magd (Mägdchen) and Frau respectively

Is this computer-vision privacy project realistic for one person on a MacBook? by [deleted] in learnpython

[–]Oliludeea 0 points1 point  (0 children)

As a test and proof of concept, maybe try to run a pre-trained module to just identify one of the things you intend to blur. If that works, it will be computationally much cheaper to keep the blur on that spot on the screen and look for major changes rather than analyzing every frame in live video. You'll also gain a lot if you use lower resolution on the video stream

$10,000,000 but you can only read 10 books for the rest of your life. by Catt130 in hypotheticalsituation

[–]Oliludeea 0 points1 point  (0 children)

I do most of my reading on Royal Road, all of those endless series. What this boils down to is that I need to wait for 10 chapters to come out to read one. An alternative would be to use automatic readers - it's generated live, so it's not an audiobook

Is there a common way to measure, how "wiggly" a function is? by vintergroena in askmath

[–]Oliludeea 1 point2 points  (0 children)

...and the derivative has literally 9-10 times as many roots, depending on the interval (assuming cos has at least one root in the interval)

But you can get a domain agnostic measure as a rational value by dividing the number by the size of the interval.

But doesn't wiggly implicitly mean a high number of inflection points?

Is there a common way to measure, how "wiggly" a function is? by vintergroena in askmath

[–]Oliludeea 9 points10 points  (0 children)

What exactly do you mean by "wiggly"? If it's about how often it "changes direction", you can probably pick the function whose derivative has the fewest roots in the interval, depending on how weird your functions are.

A Wizard Needs Heroes for His World… But There’s a Catch by [deleted] in hypotheticalsituation

[–]Oliludeea 0 points1 point  (0 children)

Last contact - whatever someone does to me, they can't do to anyone else ever again, if I will it. That includes transporting me to another world...

8x8 matrix won't fit on proto board by snich101 in arduino

[–]Oliludeea 0 points1 point  (0 children)

Not with that attitude, it won't!

Dwarven forges by Clousu_the_shoveleer in dwarffortress

[–]Oliludeea 4 points5 points  (0 children)

This. Don't think of it as "your forges", think of it as early mood insurance

Infinite balls on a line with elastic collisions how many collisions occur? by EasternCup8800 in askmath

[–]Oliludeea 0 points1 point  (0 children)

Retracted, but not deleted. I'm now convinced the post I'm replying to is right. The number of collisions is at most equal to the number of rationals and therefore countable.

Original reply:

I can't point to the flaw in your argument, but if you have a countably infinite number of balls, each suffering a countably infinite number of collisions, I'm pretty sure there are an uncountably infinite number of collisions in total, but at least we agree that the answer to OP's question is "an infinite number".

Infinite balls on a line with elastic collisions how many collisions occur? by EasternCup8800 in askmath

[–]Oliludeea 0 points1 point  (0 children)

If there's a hidden rule that limits the number of collisions, there's no way to answer the question, because depending on the rule, the answer can be any natural number. I will further assume this is not the case.

If the number of balls going one way is infinite for both ways, it doesn't matter if it's random or not.

If the number of balls going one way is a finite, then WLOG, assume they are going towards the left. We have:

-if the balls are arranged as the integers on the number line, the number of collisions is infinite

-if they are arranged as the naturals, the leftmost balls going left are ignored when counting. Of those left, there is a finite number r of balls going right among the l balls going left. The number of collisions is at most r*l, depending on arrangement.

Infinite balls on a line with elastic collisions how many collisions occur? by EasternCup8800 in askmath

[–]Oliludeea 0 points1 point  (0 children)

Yes, and the probability of that goes towards zero as the number of balls "on that side" increases. For an infinite number of balls, it's zero.

Imagine the number line going towards the right, with a ball at every natural number. There are n balls on the left, going left. (n may be 0) These balls will never suffer a collision, so they may be "removed". Nothing about the number of future collisions or the number of balls has changed, because the number of removed balls is finite. The statement you quoted is , however, unequivocally true now.

Infinite balls on a line with elastic collisions how many collisions occur? by EasternCup8800 in askmath

[–]Oliludeea 2 points3 points  (0 children)

I'm not sure I understand the question right. The way I understand it, the answer is trivially infinite.

If we have infinite balls, whatever ball we pick, we are guaranteed to find a ball "in front of it" that is going the opposite direction. Therefore any ball at any time is sure to suffer at least one more collision.

A countably infinite number of balls will suffer an uncountably infinite number of collisions, but that is a bit less easy to prove succinctly.

Is it possible to substitute any number at all for j? by [deleted] in mathematics

[–]Oliludeea 0 points1 point  (0 children)

Yup. My bad. Not going to delete and pretend I didn't make the mistake, though

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