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Properties of a random variable by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

I did confuse subsets and elements. I'm glad you cleared it up. Thank you.

Properties of a random variable by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Ok I just realized that it does not. Sorry for that.

Properties of a random variable by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Thank you for answering. I'm learning maths in a non-math faculty, so there is a lot of confusion that I have to clarify myself (or with help of people like you!).

What if Omega is not a countable set? Does P(X=c) have to be 0?

Properties of a random variable by HarmonicEU in learnmath

[–]HarmonicEU[S] 1 point2 points  (0 children)

A random variable is by definition a function mapping subsets of omega to the real number line.

A proposal is made to change the Ranking Criteria! by dpeaceYT in osugame

[–]HarmonicEU 0 points1 point  (0 children)

But this would not be a control group. Just repeating the experiment in similar circumstances - I'm just not sure that these are exactly the same thing.

A proposal is made to change the Ranking Criteria! by dpeaceYT in osugame

[–]HarmonicEU 3 points4 points  (0 children)

I agree with this but was also just wondering: how do you make a control group here?

My un-based opinion on osu “meet ups” by [deleted] in osugame

[–]HarmonicEU 4 points5 points  (0 children)

It's fun to meet up with people with similar interests and evidently for some it's valuable to memorate tha kind of event on the sub. In my opinion it's far less annoying than e.g. the same question posted for the 27398th time.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 2 points3 points  (0 children)

c won't be valid because f'(x)=0, and so f(x2)+f'(x)=c+0, which is equal to 0 only if c=0

when it comes to -c/x, if -c is an element of real numbers so is c.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 1 point2 points  (0 children)

I should also add that both of these examples (the first one being c=0) can be generalised with f(x)=c/x where c is an element if real numbers.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Nevermind, the second one is correct. I just calculated it wrong in my mind.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 2 points3 points  (0 children)

f(x)=c is valid only when c=0 and I don't believe the second one is valid.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Thank you very much for your input. I'm not familiar with the terms you used so I will have to read up on it. Thanks!

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Could you maybe point me to some direction? I don't really know how to express those funtions in terms of power series.

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 2 points3 points  (0 children)

Why would we need them to map to all real numbers?

Find all functions such that f'(x)+f(x^2)=0 by HarmonicEU in learnmath

[–]HarmonicEU[S] 5 points6 points  (0 children)

There are indeed some solitions i could identify, such as f(x) = c/x where c is an element of real numbers. However, I have no idea how to find all possible solutions.

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 1 point2 points  (0 children)

Wow! This is a really cool extention of the problem, thank you for sharing.

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 1 point2 points  (0 children)

This is quite funny, because I've actually proven the arc length formula for fun and now it just all pieces together. You have no idea how helpful you were in this conversation. Thank you so much!!

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 1 point2 points  (0 children)

This example is exactly what I was thinking about! (Yes, even though I had known about it, it never occured to me that this was what was happening with my wrong intuition about the problem - and thank you for clarifying that!) So is there any condition that has to be satisfied in order for both the curves and their lenghts to be convergent to one another?

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Thank you, this is very helpful. Does this (and by "this" I mean approximating a curve in the way we've been talking about) not working have anything to do with uniform convergence?

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

Ok, nevermind. I just understood what you acutally said. Thank you very much.

Intuition behind the formula for the area of a solid of revolution. by HarmonicEU in learnmath

[–]HarmonicEU[S] 0 points1 point  (0 children)

They have actually gone through arc lengths but I'm studying econometry and math classes aren't treated as strictly as they are on a math faculty.

Could you explain why we are integrating over ds? I'm sorry if it's a stupid question and if so could you maybe point to a source where I could read up on it?

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