Logarithmically concave sequence
In mathematics, a sequence a = (a0, a1, ..., an) of nonnegative real numbers is called a logarithmically concave sequence, or a log-concave sequence for short, if ai2 ≥ ai−1ai+1 holds for 0 < i < n . Remark: some authors (explicitly or not) add two further conditions in the definition of log-concave sequences:
* a is non-negative
* a has no internal zeros; in other words, the support of a is an interval of Z. These conditions mirror the ones required for log-concave functions.
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Logarithmically concave sequence
In mathematics, a sequence a = (a0, a1, ..., an) of nonnegative real numbers is called a logarithmically concave sequence, or a log-concave sequence for short, if ai2 ≥ ai−1ai+1 holds for 0 < i < n . Remark: some authors (explicitly or not) add two further conditions in the definition of log-concave sequences:
* a is non-negative
* a has no internal zeros; in other words, the support of a is an interval of Z. These conditions mirror the ones required for log-concave functions.
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In mathematics, a sequence a = ...... nite sequence of real numbers.
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In mathematics, a sequence a = ...... red for log-concave functions.
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Logarithmically concave sequence
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