Mathematics
Cubic Polynomials — Managing the Architecture to Calculate Roots
Rotating cubic roots into managed quadratic segments where the math is easier!
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Calculus
Determining the Shape of a Hanging Cable Using Basic Calculus
How to Derive the Equation of the Catenary
Ramanujan
It’s Time for a Breakdown (of Numbers)
Now it’s time for a breakdown… (cue En Vogue’s My Lovin’ (You’re Never Gonna Get It)) In particular, a breakdown of numbers!
Gravity
Physics Puzzles: Why Satellites Don’t Fall From the Sky
Gravitation is ubiquitous. Its presence is felt at any place. Isolation doesn’t exist in the universe; everything stays connected with…
Philosophy
A Modern Day Mathematical Platonist — Alain Badiou
Alain Badiou (1937-) is a French philosopher. At one point he was the chair of Philosophy at the École normale supérieure (ENS) and founder
Relativity
Why Clocks in Motion Slow Down According to Relativity Theory
A Gentle Explanation of Time Dilation and the Relativity of Simultaneity in Special Relativity
Calculus
Two Myths of Numerical Integration, Debunked
Many programmers believe that the use of higher order integration algorithms, combined with a large number of integration interval…
Calculus
An Easier Way to Deal with Derivatives
An easier method to evaluate the product and quotient rule, and display their symmetry.
Feynman
Finding Derivatives of Complicated Functions According to Feynman
A Clever Way to Quickly Take Derivatives Used by Richard Feynman
Topology
Theorema Egregium and Pizza Eating
How can Gauss improve your pizza eating technique?
Pi
A slice of π
π is ubiquitous both in mathematics and physics. Its appearance in some contexts are intuitive to grasp. Others require intellectual contortion, a mind-bending that defies all intuition.
Particle Physics
Understanding the Higgs Mechanism
A non-metaphoric explanation