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## Beautiful Proofs

## A friendly Introduction to Legendre differential equation and Legendre Polynomials

- Legendre Differential Equation (#1)
- Legendre Differential Equation (#2)
- Legendre Differential Equation (#3)
- Legendre Differential Equation (#4)

## Tricks I wish I knew in High School

- Trigonometry (#1)
- On the definition of Angular momentum
- Finding n roots of unity – Intuition
- Trig formulas using De Moivre’s formula
- Understanding Doppler shift using Ripple tanks
- Why is wavelength important than frequency ?
- Using Complex numbers in ClassicalÂ Mechanics

## Astrophysics

- Chandler Wobble
- Moons of Jupiter as seen by Galileo
- Emojis of the cosmos (Pareidolia in Space)
- On the orbital plane of planets and the sun in the sky
- How do we know how fast planets are rotating?
- ‘Starry Nights’, Turbulence and Adaptive optics
- What is at the center of our galaxy?
- The spectrometer: An astronomer’s most precious tool
- On the Milky way- Andromeda merger

- How to use the Hubble Legacy Archive (HLA) for research ?
- Importance of filters on Telescopes

## Cool Engineering

- Pantograph and trains
- The humble Touch screen
- Understanding Pixels
- Exotic movements of the human eye
- The velcro and what lies beyond
- On Diffraction and the Helical structure of DNA

## Fun Experiments

- Screens, Lasers and Symmetry
- Chocolate bar in Microwave ( Part- I )
- Chocolate bar in Microwave ( Part – II )

## All about flights

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