We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path. The method is based on partitioning a portion of $P$ into a number of faces of equal link distance from a source point. This partitioning is essentially a shor...

The q-Dobinski formula may be interpreted as the average of powers of random variable X q with the q-Poisson distribution. Forty years ago Rota G. C. [1] proved the exponential generating function for Bell numbers B n to be of the form ∞ n=0 x n n! (B n) = exp(e x − 1) (1) using the linear functional L such that L(X n) = 1, n ≥ 0 (2) Then Bell numbers (see: formula (4) in [1]) are defined by L(...

Tracking of mobile objects trajectories is one of many modern applications supported by Spatiotemporal databases. Within the context of this application, queries about the present, future or past positions of the objects need to be answered. Several indexing methods have been proposed to efficiently handle such spatiotemporal queries. In the current paper, we propose a method for indexing the h...

In this paper, two Q-learning (QL) methods are proposed and their convergence theories are established for addressing the model-free optimal control problem of general nonlinear continuous-time systems. By introducing the Q-function for continuous-time systems, policy iteration based QL (PIQL) and value iteration based QL (VIQL) algorithms are proposed for learning the optimal control policy fr...

– It is demonstrated that in the (projective plane over) Galois fields GF(q) with q = 2n and n ≥ 3 (n being a positive integer) we can define, in addition to the temporal dimensions generated by pencils of conics, also time coordinates represented by aggregates of (q+1)-arcs that are not conics. The case is illustrated by a (self-dual) pencil of conics endowed with two singular conics of which ...

Generalized Cellular Neural Networks (GCCNs) were recently introduced by Guzelis & Chua. Instead of one single CNN, a set of CNNs was considered, interconnected in a feedforward, cascade or feedback way. The framework was in continuous time with su cient conditions for global asymptotic and I/O stability and the relation with classical nonlinear control theory such as the Lur'e problem was reve...

Four new species of the subgenus Raphirus Stephens, 1829 of the genus Quedius Stephens, 1829 (Coleoptera: Staphylinidae: Staphylinini: Quediina) are described based on specimens collected from China: Q. (Raphirus) hubeiensis sp. nov. from Hubei, Q. (Raphirus) ningxiaensis sp. nov. from Ningxia, Q. (Raphirus) spissus sp. nov. from Sichuan, and Q. (Raphirus) tenuiculus sp. nov. from Fujian. The f...