Water capacity of random functions

A random function on n is any function, where [n] = {1, 2, 3, . . ., n}.We study water capacity of such random functions.A bivariate generating function for water capacity of individual columns is obtained for all n and the total capacity of random functions of n is obtained.

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Publication Details

Journal
Contributions to Mathematics
Published
2025-12-31
DOI
https://doi.org/10.47443/cm.2025.097
Primary Topic
Stochastic processes and statistical mechanics
Type
article
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article

Water capacity of random functions

Arnold Knopfmacher, Aubrey Blecher
Contributions to Mathematics
Stochastic processes and statistical mechanics
article

Water capacity of random functions

Arnold Knopfmacher, Aubrey Blecher
article en

Abstract

A random function on n is any function, where [n] = {1, 2, 3, . . ., n}.We study water capacity of such random functions.A bivariate generating function for water capacity of individual columns is obtained for all n and the total capacity of random functions of n is obtained.

Contributions to MathematicsVol. 12
Clean water and sanitation
Openalex Percentile: Top 20%
Stochastic processes and statistical mechanics
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