R. Boppana

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20172023

most citedA Useful Inequality for the Binary Entropy Function

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2023★ 1 cited

A Useful Inequality for the Binary Entropy Function

Ravi B. Boppana

We provide a simple proof of a curious inequality for the binary entropy function, an inequality that has been used in two different contexts. In the 1980's, Boppana used this entr…

math.CO2020

Tomaszewski's problem on randomly signed sums, revisited

Ravi B. Boppana, Harrie Hendriks, Martien C. A. van Zuijlen

Let $v_{1}$ , $v_{2}$ , ..., $v_{n}$ be real numbers whose squares add up to 1. Consider the $2^{n}$ signed sums of the form $S = \sum \pm v_{i}$ . Boppana and Holzman (2017) proved that at lea…

math.CO2017

Tomaszewski's Problem on Randomly Signed Sums: Breaking the 3/8 Barrier

Ravi B. Boppana, Ron Holzman

Let $v_{1}$ , $v_{2}$ , ..., $v_{n}$ be real numbers whose squares add up to 1. Consider the $2^{n}$ signed sums of the form $S = \sum \pm v_{i}$ . Holzman and Kleitman (1992) proved that at le…