Qi Jin

Proof of the Transcendence of the Euler–Mascheroni Constant γ

Qi Jin introduced in his paper a method for proving the irrationality of πe, π/e, π+e, and π−e. Building upon this approach, we present an optimized version of the method and use it to prove that the Euler–Mascheroni constant γ is transcendental, and hence irrational. Furthermore...

On the Proof of the Fifth Postulate (the Parallel Axiom) in Euclidean Geometry

The framework of Euclidean geometry lacks a definitive criterion to distinguish straight lines from curves, prompting the introduction of the Fifth Axiom (the Parallel Postulate) as a logical patch. However, this postulate can be proven without new axioms by utilizing the concept...