The Clown at Number Thirteen

Book Review: Pratiquer l'ACT par le Clown [ACT through Clown]

Identifying Individual Clown Fish

This paper presents a clustering approach to estimating the number of individuals present in a set of Amphiprion clarkii (clownfish) observed live from a Taiwanese coral reef. Previous approaches to individual identification have addressed species where there are many individuals with some distinctive pattern and few observations of each. By contrast, fish observations from a fixed camera tend ...

Thirteen Ways to Look at the Correlation Coefficient

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Explorer Identifying Individual Clown Fish

This paper presents a clustering approach to estimating the number of individuals present in a set of Amphiprion clarkii (clownfish) observed live from a Taiwanese coral reef. Previous approaches to individual identification have addressed species where there are many individuals with some distinctive pattern and few observations of each. By contrast, fish observations from a fixed camera tend ...

On the number of representations of certain integers as sums of eleven or thirteen squares

Let rk(n) denote the number of representations of an integer n as a sum of k squares. We prove that for odd primes p, r11(p) = 330 31 (p + 1) − 22(−1)(p−1)/2p4 + 352 31 H(p), where H(p) is the coefficient of q in the expansion of