The german tank problem in World War II

Marton Trencseni - Sat 12 March 2022 • Tagged with statistics, war

I run Monte Carlo simulations to show the frequntist solution to the German tank problem.

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Probabilistic spin glass - Conclusion

Marton Trencseni - Mon 31 January 2022 • Tagged with entropy, physics, spin, glass

I summarize the 5 previous posts on probabilistic spin glasses.

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Probabilistic spin glass - Part V

Marton Trencseni - Thu 06 January 2022 • Tagged with entropy, physics, spin, glass

I use Monte Carlo simulations to explore the dynamic behaviour of probabilistic spin glasses, specifically how saturation scales with $p$ and $N$.

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Probabilistic spin glass - Part IV

Marton Trencseni - Fri 31 December 2021 • Tagged with entropy, physics, spin, glass

This is a continuation of the previous articles on probabilistic spin glasses. I run simulations to understand the scaling behaviour for large spin glasses.

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Probabilistic spin glass - Part III

Marton Trencseni - Sat 25 December 2021 • Tagged with entropy, physics, spin, glass

I run simulations to understand the dynamic probabilistic evolution of these toy models.

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Probabilistic spin glass - Part II

Marton Trencseni - Sat 18 December 2021 • Tagged with entropy, physics, spin, glass

This is a continuation of the previous article on probabilistic spin glasses, with improvements to the simulation code and improved entropy computation.

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Probabilistic spin glass - Part I

Marton Trencseni - Sat 11 December 2021 • Tagged with entropy, physics, spin, glass

I run Monte Carlo simulations on probabilistic spin glasses, a simple mathematical model of magnetized matter with short range interactions. I use entropy to characterize the model's order-disorder transition.

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The physical Sackur-Tetrode entropy of an ideal gas

Marton Trencseni - Mon 29 November 2021 • Tagged with entropy, physics

I derive the Sackur-Tetrode equation for entropy of a monatomic ideal gas.

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Entropy of an ideal gas with coarse-graining

Marton Trencseni - Fri 19 November 2021 • Tagged with entropy, physics

I show the first steps of how to arrive at a definition of entropy for a monatomic ideal gas modeled as hard billiard balls.

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Einstein's amazing theory

Marton Trencseni - Tue 16 February 2016 • Tagged with physics, einstein, relativity

This post is about the amazing success of Einstein's general theory of relativity. The theory predicts, among other things the accelerating Universe, black holes, gravitational lensing and gravitational waves. The real shocker is to remember that Einstein didn't invent general relativity to explain these. He didn’t know about these, they didn't exist at that time!

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