1. Cryptography and Secure Communication: Advanced cryptographic algorithms often rely on geometric principles in higher-dimensional spaces,...

 1. The Butterfly Effect The butterfly effect is a term used to describe the sensitive dependence on initial conditions in fluid dynamics. T...

1. *Orbitals are not like planets*: Unlike planets orbiting the sun in definite paths, electrons in orbitals do not follow fixed trajectorie...

  1. Elliptical Orbits: Planets don't orbit the sun in perfect circles, but rather in elliptical paths. This means their distance from t...

  1. The Andromeda Galaxy is the largest member of the Local Group of galaxies. 2. It is estimated to be around 4.5 billion years older than...