THE PROOF OF X ± Y = B

Abstract

This paper is about the proof of x ± y = b or x ± y = b systems at every given input number ‘n’ and a faster algorithm to the subset sum problem. The Proof of x ± y = b i.e., the proof of x ± y = b at system 1 is the proof of a mathematical method that proves something can evolve from nothing and its graph shows that the shape of the universe is a cone and this can further be mapped with an expanding universe or universes which can be used to locate the point of the big bang (a hypothetical point in space where the universe began). See No.2 at the reference list for details. However, the proof of x ± y = b at system 1 is the premise that was used here to solve the subset sum problem. Mainly, the purpose of the proof of x ± y = b is to achieve the coexistence of equal plus and minus values. The proof of x ± y = b systems are forms of x ± y = b derived from the coexistence of three quantities denoted by n, n + 1, n + 2 where n represents any given positive integers.

Keywords: input, systems, simulation, subset sum problem, algorithm