Ruffini nerve endings in the periodontal ligament (PDL) of aged mouse maxillary incisors were investigated by means of immunohistochemistry for protein gene product 9.5 (PGP 9.5) at light and electron microscopic levels. C3H/HeSlc mice were sacrificed by perfusion fixation. Frozen sagittal cryostat sections of decalcified maxillary incisors were prepared and stained by anti-PGP 9.5 antibody, fo...

We report on the methods used in our recent DeepEnsembleCoco submission to the PASCAL VOC 2012 challenge, which achieves state-of-theart performance on the object detection task. Our method is a variant of the R-CNN model proposed by Girshick et al. [4] with two key improvements to training and evaluation. First, our method constructs an ensemble of deep CNN models with different architectures ...

The exponential functional of simple, symmetric random walks with negative drift is an infinite polynomial Y = 1+ ξ1 + ξ1ξ2 + ξ1ξ2ξ3 + · · · of independent and identically distributed non-negative random variables. It has moments that are rational functions of the variables μk = E(ξ ) < 1 with universal coefficients. It turns out that such a coefficient is equal to the number of permutations wi...

We count the number of distinct (scattered) subwords occurring in the base-b expansion of the nonnegative integers. More precisely, we consider the sequence (Sb(n))n≥0 counting the number of positive entries on each row of a generalization of the Pascal triangle to binomial coefficients of base-b expansions. By using a convenient tree structure, we provide recurrence relations for (Sb(n))n≥0 le...

Every (convex) star polygon with n vertices can be associated with a permutation σ on {1, 2, . . . , n}. We give an exact formula to compute the sum of (interior) angles in term of σ. In particular, the sum of angles of the polygon is solely determined by σ. We make use of this formula to derive a recurrence relation concerning the number of star polygons having a particular value of sums of an...