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Island Universe

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Island Universe

Some interesting pieces of mathematics, physics, and perhaps philosophy.

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What makes quantum mechanics different from classical theories? Why is quantum randomness not just from classical probability distributions? - The Bell Inequality.

Time Dependent Perturbation Theory | Crosschecking the results from the Interaction Picture

Solving for the Time Evolution Operator

How to derive the Schrodinger Equation?

Algebra Quick Notes | Field Extensions, Adjoining Roots, Ruler and Compass, a bit of Galois ...

The Three Ways of Looking at Quantum Mechanics | Schrodinger, Heisenberg, & Interaction Picture

Can I move my sofa and curtain pole through the corner of the corridor? A fun STEP geometry problem

Let's derive Stirling's approximation for n! using the bell curve (no Gaussian integrals involved!)

Is there a theoretical maximum efficiency for thermal engines?

Deriving Fermat's Little Theorem with just... a colourful necklace!

Can we derive the observed electron energy levels of a Hydrogen atom theoretically?

Useful results: how to factorise the sum or differences of two numbers to the same power?

Dirty integration tricks you need up your sleeve: the King property of Integration

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