More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive
integers n, k with n≥ 4 k, every set of n real numbers with nonnegative sum has at least (n …

More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive
integers n, k with n≥ 4k, every set of n real numbers with nonnegative sum has at least (n …

More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive
integers $ n, k $ with $ n\geq 4k $, every set of $ n $ real numbers with nonnegative sum has …

k-element subsets whose sum is also nonnegative. We verify this conjecture when n≥ 8k 2,
which simultaneously improves and simplifies a bound of Alon, Huang, and Sudakov and …

k-element subsets whose sum is also nonnegative. We verify this conjecture when n≥ 8k 2,
which simultaneously improves and simplifies a bound of Alon, Huang, and Sudakov and …

More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive
integers n, k with n 4 k, every set of n real numbers with nonnegative sum has at least (n-1 k …

More than twenty-five years ago, Manickam, Mikl\'{o} s, and Singhi conjectured that for
positive integers $ n, k $ with $ n\geq 4k $, every set of $ n $ real numbers with nonnegative …

k-element subsets whose sum is also nonnegative. We verify this conjecture when n≥ 8k 2,
which simultaneously improves and simplifies a bound of Alon, Huang, and Sudakov and …

More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive
integers n, k with n≥ 4k, every set of n real numbers with nonnegative sum has at least (n-1k …

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