An Elementary Proof of the General Poincaré Formula for λ-additive Measures | Zendy

József Dombi | Zendy; Tamás Jónás | Zendy

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An Elementary Proof of the General Poincaré Formula for λ-additive Measures

Author(s) -

József Dombi,

Tamás Jónás

Publication year - 2019

Publication title -

acta cybernetica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.143

H-Index - 18

eISSN - 2676-993X

pISSN - 0324-721X

DOI - 10.14232/actacyb.24.2.2019.1

Subject(s) - measure (data warehouse) , elementary proof , mathematics , poincaré conjecture , lambda , probability measure , limit (mathematics) , pure mathematics , discrete mathematics , mathematical analysis , computer science , physics , quantum mechanics , database

In a previous paper of ours [4], we presented the general formula for lambda-additive measure of union of n sets and gave a proof of it. That proof is based on the fact that the lambda-additive measure is representable. In this study, a novel and elementary proof of the formula for lambda-additive measure of the union of n sets is presented. Here, it is also demonstrated that, using elementary techniques, the well-known Poincare formula of probability theory is just a limit case of our general formula.

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