I studied math in college, and I can say, without a doubt, that probability is the most counterintuitive branch of math I have personally experienced, and maybe the most counterintuitive in general. It is no surprise that the average person doesn't understand it at all.
My secret is that I've never understood the difference between being a Frequentist and being a Bayesian. When I read a description of what *either* group believes, I just think "yeah, that sounds reasonable".
I think that a great case for Bayesian statistics is the fields of astronomy and astrophysics, where sampling can be tricky, especially for objects like planets and black holes.
I wanted to bring up this video again that I would love your perspective on. Numberphile did a cool video about 1 + 2 + 3 + ... = -1/12 that makes it seem like it has practical applications, and isn't just a mathematical curiosity. Some of their steps are pretty dubious in my opinion, namely the part where they introduce a cos(n/N) just after the 10 minute mark, so you may be able to shed some light on it. The video is called "Does -1/12 Protect Us From Infinity? - Numberphile"
Why do you think it's dubious the way they added the partial sums? All they did is multiply each term by something that is equal to 1 as N goes to infinity (notice that cos(n/N) is 1, since n is constant and N goes to infinity and cos(0)=1), so there's nothing weird or wrong about that. If you could elaborate on your doubt I may be able to explain it better
Amazing video, reminded me of important concepts while also deepening my knowledge, in a fast, direct and practical way. Congratulations on the continuous sponsor from Brilliant.
So I was messing with complex numbers and Euler's formula and I came across this: e^2πi = e^(πi)2 = cos(2π) + isin(2π) = 1 + i(0) = 1 So e^2πi = 1 so 2π1 = ln(1) but ln(1) = 0 so 2πi = 0 BUT HOW???
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I studied math in college, and I can say, without a doubt, that probability is the most counterintuitive branch of math I have personally experienced, and maybe the most counterintuitive in general. It is no surprise that the average person doesn't understand it at all.
This is one of the cleanest explanations of Bayes rule I have ever seen.
So glad the algorithm let me come and learn something from you again before I take statistics
Conditional probability is both the hardest and the most important concept in probability
My secret is that I've never understood the difference between being a Frequentist and being a Bayesian. When I read a description of what *either* group believes, I just think "yeah, that sounds reasonable".
That's my secret cap, I'm always confused
I love math. Thanks to UA-cam algorithm. Finally, I found this precious learning channel.
I've taught statistics at University. This is a great educational video.
This was very helpful, thank you!
I think that a great case for Bayesian statistics is the fields of astronomy and astrophysics, where sampling can be tricky, especially for objects like planets and black holes.
Very cool. Examples related to information theory and communications are also very clear.
Wow, this a fantastic video on bayes' rule ❤
Thanks! I'm glad you liked it!
What a great explanation! Thank you for creating such content.
I wanted to bring up this video again that I would love your perspective on. Numberphile did a cool video about 1 + 2 + 3 + ... = -1/12 that makes it seem like it has practical applications, and isn't just a mathematical curiosity. Some of their steps are pretty dubious in my opinion, namely the part where they introduce a cos(n/N) just after the 10 minute mark, so you may be able to shed some light on it. The video is called "Does -1/12 Protect Us From Infinity? - Numberphile"
Why do you think it's dubious the way they added the partial sums? All they did is multiply each term by something that is equal to 1 as N goes to infinity (notice that cos(n/N) is 1, since n is constant and N goes to infinity and cos(0)=1), so there's nothing weird or wrong about that. If you could elaborate on your doubt I may be able to explain it better
Amazing video, reminded me of important concepts while also deepening my knowledge, in a fast, direct and practical way.
Congratulations on the continuous sponsor from Brilliant.
My favorite application of Bayes is running the inference engine in reverse. That is, fitting a model and using it to simulate new data.
“I love Venn Diagrams”- KH
Great video!
hi, thank you. very well explained! i hope i can learn from that calmness when explaining math. 😅
You're one of the most intelligent UA-camrs I've ever seen
Statistics is my main weakness of mathematics, so I'll just leave a like
Polymer distributions wpuld be my favorito application of Bayes' theorem
So I was messing with complex numbers and Euler's formula and I came across this:
e^2πi = e^(πi)2 = cos(2π) + isin(2π) = 1 + i(0) = 1
So e^2πi = 1 so 2π1 = ln(1) but ln(1) = 0 so 2πi = 0 BUT HOW???