Logarithmically concave sequence: Difference between revisions

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[[File:Pascal's_triangle_5.svg|thumb|The rows of Pascal's triangle are examples for logarithmically concave sequences.]]
In [[mathematics]], a sequence {{math|''a''}} = {{math| (''a''<sub>0</sub>, ''a''<sub>1</sub>, ..., ''a''<sub>''n''</sub>)}} of nonnegative real numbers is called a '''logarithmically concave sequence''', or a '''log-concave sequence''' for short, if {{math|''a''<sub>''i''</sub><sup>2</sup> ≥ ''a''<sub>''i''−1</sub>''a''<sub>''i''+1</sub>}} holds for {{math|0 < ''i'' < ''n'' }}.