One of the basic problems in arithmetic mirror symmetry is to compare the number of rational points on a mirror pair of Calabi-Yau varieties. At present, no general algebraic geometric definition is known for a mirror pair. But an important class of mirror pairs comes from certain quotient construction. In this paper, we study the congruence relation for the number of rational points on a quoti...

Unnecessary communication and computation in the periodic execution of control tasks lead to over-provisioning in hardware design (or underexploitation in hardware utilization) in control applications, such as networked control systems. To address these issues, researchers have proposed a new class of strategies, named event-driven strategies. Despite of their beneficiary effects, matters like ...

Most studies of spatial colocation patterns of crime and land-use features in geographical information science and environmental criminology employ global measures, potentially obscuring spatial inhomogeneity. This study investigated the relationships of three types of crime with 22 types of land-use in Wuhan, China. First, global colocation patterns were examined. Then, local colocation patter...

If V is an affine algebraic variety and G ⊂ AutV a finite group of automorphism of V , the quotient variety is an affine algebraic variety V/G with a quotient morphism V → X = V/G. A point of X is an orbit of G on V , and the coordinate ring k[X] is the ring of invariants k[V ] of the induced action of G on k[V ]. This chapter studies the simplest case of this construction, when V = C and G = Z...

We investigated individual differences in empathy and emotion recognition. Emotion recognition was operationalized as accuracy on the six emotions composing Ekman’s Pictures of Facial Affect. Facets of empathy were measured with the Empathy Quotient (EQ) and the empathic concern factor of the Interpersonal Reactivity Scale. Two aspects of emotion recognition were investigated: exposure length (...

We derive a posteriori bounds for (V — f) and its difference quotient (V — f)x, where V and V are, respectively, the exact and computed solution of a difference approximation to a mildly nonlinear parabolic initial boundary problem, with a known steadystate solution. It is assumed that the computation is over a long interval of time. The estimates are valid for a class of difference approximati...

This paper presents an intensity-based iris recognition system. The system exploits local intensity changes of the visible iris textures such as crypts and naevi. The textures are extracted using local histogram equalization and the proposed ‘quotient thresholding’ technique. The quotient thresholding partitions iris images in a database such that a ratio between foreground and background of ea...

Residue Number System (RNS) has computational advantages for large integer arithmetic. It provides the benefits of parallel, carry-free, and high-speed arithmetic in addition, subtraction, and multiplication. However, overflow detection, sign detection, magnitude detection, and division are time-consuming operations in RNS. The most interesting one of the above operations is division, and many ...