request This is very important, how many European badgers could fit in the Colosseum in Rome?

It's as the noscript says, I need to know how many badgers could fit in there. I'm pretty sure a European badger is around 122 liters large, but I could be wrong.

EDIT: I meant specifically on the *inside* of the Colosseum, not the outside.

https://redd.it/1qjq86n
@TheyDidTheMath

[Request] Pulled from a YouTube short. Does that actually match up?
https://redd.it/1qj5gje
@TheyDidTheMath

[Request] Is there a chance that there is someone in this world who has a 7 degrees of separation?
https://redd.it/1qjt4go
@TheyDidTheMath

Self Open a book at a random page, what may be the sum of the two page numbers on both sides? A.75 B.85 C.80

https://preview.redd.it/p0l5fj0hbveg1.png?width=885&format=png&auto=webp&s=65cb0a680962471f4f7daddd0feaee5938ecdeca



https://redd.it/1qjpxw3
@TheyDidTheMath

Request Pollution calculation for Bergen Engines B36:45V compared to my municipality power generation.

Recently, my town has approved the creation of New Jersey's largest data center. The data center will be run on 36 B36:45V 11.2 MW generators presumably running on natural gas. I want to compare the total emissions of our local power generation center (I've attached the most recent permit) and the data sheet from Bergen Engines. Is my math correct?

Bergen Engines states 63,500 kg/h exhaust mass but it doesn't have a breakdown of what the exhaust gasses are.

My local 68 MW power generation station produces 313,392.194 Tons/Year of a variety of pollutants


63,500 kg/h X 24 H X 365 Days = 556260000 kg/year

556260000 kg/year X 2.20462 pounds/kg =1226341921.2 pounds/year

1226341921.2 pounds/year / 2204.62 pounds = 20025360 tons/year.

Is my math correct and what do I need to determine the % exhaust mass is pollution.

https://preview.redd.it/w1c42fpk8weg1.png?width=996&format=png&auto=webp&s=27d44f84409caf2231dc82a82a360887f815e16f

https://preview.redd.it/ax15c2wr8weg1.png?width=1181&format=png&auto=webp&s=6daf27cdd1ccdc4722a8939b327c67b94de258bc



https://redd.it/1qjt5cf
@TheyDidTheMath

[Self] A Note on the Erdős–Straus Equation: No Pairwise Coprime Solutions

Hi everyone,

Consider the Erdős–Straus equation:

4/n = 1/x + 1/y + 1/z, n >= 2, x < y < z, n,x,y,z are natural numbers

We investigate the case where x, y, z are pairwise coprime natural numbers.
This assumption leads to a contradiction, so no such solutions exist.

---

1. Multiply through by nxyz (all natural numbers):

4xyz = n(xy + xz + yz)

2. Divide by x:

4yz = n(y + z) + n(yz)/x

Since gcd(x, yz) = 1, yz/x is integer only if x divides n.
Write:

n = ax, a is natural number

3. Substitute:

4yz = axy + axz + ayz

Divide by y:

4z = ax + az + a(xz)/y

Since gcd(y, xz) = 1, y divides a. Write:

a = by, b is natural number

Substitute back:

4z = bxy + bxz + byz

4. Divide by z:

4 = bx + by + b(xy)/z

Coprimality forces b = cz, c is natural number

Substitute:

4 = c(xy + xz + yz)

Since xy + xz + yz >= 3, no natural number c satisfies this. Contradiction.

---

Conclusion: There are no solutions to 4/n = 1/x + 1/y + 1/z with x < y < z, n,x,y,z natural numbers, such that x,y,z are pairwise coprime.

---

Remarks:

* All variables n,x,y,z,a,b,c are natural numbers.
* This argument only shows pairwise coprime denominators cannot occur; it does not classify all solutions.
* Further exploration could consider non-coprime cases or alternative decompositions.

Let me hear your opinions

https://redd.it/1qjy4bh
@TheyDidTheMath

[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

[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

[Request] Need help figuring out if below couch with fit through a 29.5 inch wide doorway
https://redd.it/1qk0rt5
@TheyDidTheMath

[Request], chances of both players having same hand in 1v1 crib
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

[Request] What WOULD happen?
https://redd.it/1qk8ibd
@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

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

[Meta] Americans will use anything but the metric system: Winter Storm edition
https://redd.it/1qkcu43
@TheyDidTheMath

[Request] How much energy would the GTA train need to move all these vehicles?

https://redd.it/1qkceua
@TheyDidTheMath

[Request] how practical is buying the USA?
https://redd.it/1qkfexu
@TheyDidTheMath

[Request] At which temperature freezing water become warmer than ambiant air?

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