Some Derivations

Chemistry

  • Ideal Gas Law

 

  • S = logW
  • SKLogW
  • Atmospheric Pressure Approximation and Average Height of Molecules

 

  • Bateman Equations ( For up to 3 successive Decays) 

Mathematics

  • Pythagorean Theorem ( Could be original but definitely not elegant proof)Pythagoras
  • Trigonometric Double Angle Formulas 

  • Hyperbola (Conic Section)

 

  • Quadratic Formula ( Without Completing Square  and Minimizing Error Version)quadratic
  • Variation of Parameters ( with Wronskian for Differential Equations)VOP
  • Sum Of PowerssumofPowers
  • Surface Area of sphere (Without using Trig substitution in Integral)SurfaceAreaSphere

Physics

  • Kepler’s 1st Law to Inverse Square Law 

  • From Newton to Kepler’s Laws Using Vectors

 

  • From Newton to Kepler’s 1st Laws Using a Differential Equation 

  • Einstein Special Relativity 

  • Why Speed of Light Cannot Be ExceededspeedOfLight
  • Relativistic Kinetic Energy Without Using Binomial Expansion 

     

    Biology

  • Continuous  Logistic Equation for Population Dynamics
     

 

WordPress.com.

Up ↑

%d bloggers like this: