Cryptography

Hard to enjoy the secrecy of secret practice,
Philosophy of God lying behind this.

Everyone knows that God knows everything,
Cryptology protects the right to privacy of human beings.

Alice and Bob are fictions in its literature,
Secrecy depends on the various parameter.

How to lock your secrets?
Digitization removing its grievances.

Mathematics is the strength of cryptography,
DLP and integer factorization are its analogy.

World wars had promoted progress in cryptography,

Enigma is crucial in Turing's biography.

Claude Shannon's mathematical theory of cryptography
Made him the father of mathematical cryptography.

A cipher hides all information perfectly,
Iff message size is equal to the size of the key.

Simplex Method

LPP has target to optimize its objective,
Its requirements are some linear relationship.

Linear relationship are in unbalanced condition,
Slacked and surplus variables balanced the equation.

System of linear inequality defines a polytope,
Moving along its edge  is our hope.

Algorithm is to move from start vertex to optimum one,
Process is finished when isn't possible to improve the solution

Simplex method is for solving problems in Linear programming,

Its inventor name is George Dantzing.

Dantzing solved two open problems in statistical theory
Motivated from Prof. Neyman's inquiry.