[Request] What latitude range is this method for? If I flip my hand, with my pinkie (the thinnest) on top, would it be more accurate?
https://redd.it/1qk0x53
@TheyDidTheMath
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[Request] How accurate is this claim? (I'm just curious about the water/energy usage, dont think we can slot in finishing 100 times over in an equation somewhere)
https://redd.it/1qk2hc3
@TheyDidTheMath
https://redd.it/1qk2hc3
@TheyDidTheMath
[Request] Need help figuring out if below couch with fit through a 29.5 inch wide doorway
https://redd.it/1qk0rt5
@TheyDidTheMath
https://redd.it/1qk0rt5
@TheyDidTheMath
[Request], chances of both players having same hand in 1v1 crib
https://redd.it/1qk4ruo
@TheyDidTheMath
https://redd.it/1qk4ruo
@TheyDidTheMath
Request Using Shannon entropy to measure portfolio diversity - is this the right approach?
I've been exploring cross-domain applications of information theory and wanted to share an interesting calculation: using Shannon entropy to quantify portfolio diversity.
The Mathematical Setup:
Given portfolio weights w = [w₁, w₂, ..., wₙ\] where Σwᵢ = 1:
H(w) = -Σ(wᵢ × log₂(wᵢ))
Normalized: H_norm = H(w) / log₂(n) × 100
Example Calculations:
\- Portfolio A: [0.60, 0.30, 0.10\] → H = 1.30 → Score: 82/100
\- Portfolio B: [0.33, 0.33, 0.34\] → H = 1.58 → Score: 100/100
\- Portfolio C: [0.85, 0.10, 0.05\] → H = 0.74 → Score: 47/100
Portfolio A has more concentration risk despite having the same number of positions as Portfolio B.
Questions:
1. Is Shannon entropy the right metric for measuring non-uniform distribution? Or would KL divergence from uniform be better?
2. Should weights be correlation-adjusted? (e.g., two highly correlated positions = less actual diversity)
3. For the Taylor series approximation of ln(x), is 20 iterations sufficient for accuracy?
I built a tool that does these calculations: https://3bvys-4aaaa-aaaap-qrfua-cai.icp0.io/
Is this mathematically sound? What would you improve?
https://redd.it/1qk5xuc
@TheyDidTheMath
I've been exploring cross-domain applications of information theory and wanted to share an interesting calculation: using Shannon entropy to quantify portfolio diversity.
The Mathematical Setup:
Given portfolio weights w = [w₁, w₂, ..., wₙ\] where Σwᵢ = 1:
H(w) = -Σ(wᵢ × log₂(wᵢ))
Normalized: H_norm = H(w) / log₂(n) × 100
Example Calculations:
\- Portfolio A: [0.60, 0.30, 0.10\] → H = 1.30 → Score: 82/100
\- Portfolio B: [0.33, 0.33, 0.34\] → H = 1.58 → Score: 100/100
\- Portfolio C: [0.85, 0.10, 0.05\] → H = 0.74 → Score: 47/100
Portfolio A has more concentration risk despite having the same number of positions as Portfolio B.
Questions:
1. Is Shannon entropy the right metric for measuring non-uniform distribution? Or would KL divergence from uniform be better?
2. Should weights be correlation-adjusted? (e.g., two highly correlated positions = less actual diversity)
3. For the Taylor series approximation of ln(x), is 20 iterations sufficient for accuracy?
I built a tool that does these calculations: https://3bvys-4aaaa-aaaap-qrfua-cai.icp0.io/
Is this mathematically sound? What would you improve?
https://redd.it/1qk5xuc
@TheyDidTheMath
Request Could you build a house using TVs cheaper than a normal house?
OK. I'm going to cheat a bit on "house" on this one. But could you make a shell of a house cheaper using Black Friday deal TVs than you could build a similar square footage house?
No money is spent connecting the TVs to each other. We are shooting for a 1900 sq-ft house. TVs will be all walls and roof (shell only no interior walls).
What's the price per square foot as compared to just buying a house in different cities?
https://redd.it/1qk89ok
@TheyDidTheMath
OK. I'm going to cheat a bit on "house" on this one. But could you make a shell of a house cheaper using Black Friday deal TVs than you could build a similar square footage house?
No money is spent connecting the TVs to each other. We are shooting for a 1900 sq-ft house. TVs will be all walls and roof (shell only no interior walls).
What's the price per square foot as compared to just buying a house in different cities?
https://redd.it/1qk89ok
@TheyDidTheMath
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When Tony Montana stuck his face in the pile of coke at the end of Scarface and snorted, was this enough to kill an average person? [request]
https://redd.it/1qkba0i
@TheyDidTheMath
https://redd.it/1qkba0i
@TheyDidTheMath
[Meta] Americans will use anything but the metric system: Winter Storm edition
https://redd.it/1qkcu43
@TheyDidTheMath
https://redd.it/1qkcu43
@TheyDidTheMath
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[Request] How much energy would the GTA train need to move all these vehicles?
https://redd.it/1qkceua
@TheyDidTheMath
https://redd.it/1qkceua
@TheyDidTheMath
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[Request] At which temperature freezing water become warmer than ambiant air?
https://redd.it/1qkdb9h
@TheyDidTheMath
https://redd.it/1qkdb9h
@TheyDidTheMath
[Request] got this from a gacha pull, what percentage of a standard Uno deck is it?
https://redd.it/1qkgrdz
@TheyDidTheMath
https://redd.it/1qkgrdz
@TheyDidTheMath
Reddit
From the theydidthemath community on Reddit: [Request] got this from a gacha pull, what percentage of a standard Uno deck is it?
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[Request] How long would it take you to make 2 billion by choosing the second door?
https://redd.it/1qkkmza
@TheyDidTheMath
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@TheyDidTheMath
[Request] If the Switch was split in half with one cut, how much force did the mother apply with her cleaver?
https://redd.it/1qkmjg7
@TheyDidTheMath
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How much energy does it take for a similar weapon to work against humans? [Request]
https://redd.it/1qkmkwm
@TheyDidTheMath
https://redd.it/1qkmkwm
@TheyDidTheMath