Wang tilings are colorings of the Euclidean plane that respect some local constraints. They can be viewed both as dynamical systems and computational models, but they were first introduced by Hao Wang to study decision problems on some classes of logical formulas [18]. The concept of Wang tiles may be generalized to define tilings on the Cayley graph of a finitely generated group. The domino pr...

Dalam mempelajari bahasa asing, sebagian besar kendala disebabkan oleh kemampuan dalam mengingat kosakata, karena kosakata merupakan salah satu faktor dari pembentuk bahasa. Menghafal kosa kata masih mengalami kesulitan terlebih lagi asing. Untuk menyelesaikan permasalahan ini, banyak pengajar asing menggunakan media permainan, satunya adalah kartu domino. Penelitian ini bertujuan untuk meningk...

Dynamic logic style is used in high performance circuit design because of its fast speed and less transistors requirement as compared to CMOS logic style. But it is not widely accepted for all types of circuit implementations due to its less noise tolerance and charge sharing problems. A small noise at the input of the dynamic logic can change the desired output. Domino logic uses one static CM...

Performance of high fan–in Domino circuits is degraded by technology scaling due to exponential increase in leakage. To improve the performance Current Comparison Domino (CCD) circuits are widely used. This work presents design of wide fan-in high performance current comparison domino circuits with goals of minimizing the power dissipation and propagation delay at 90nm and 45nm ultra deep submi...

The arctic circle theorem of Jockusch, Propp, and Shor asserts that uniformly random domino tilings of an Aztec diamond of high order are frozen with asymptotically high probability outside the “arctic circle” inscribed within the diamond. A similar arctic circle phenomenon has been observed in the limiting behavior of random square Young tableaux. In this paper, we show that random domino tili...

In this paper, we continue the study of domino-tilings of Aztec diamonds (introduced in [1] and [2]). In particular, we look at certain ways of placing " barriers " in the Aztec diamond, with the constraint that no domino may cross a barrier. Remarkably, the number of constrained tilings is independent of the placement of the barriers. We do not know of a simple combinatorial explanation of thi...

Moral hazard is one of the most basic concepts in economics: If someone pays you for your accidents, you will expend less effort trying to avoid them. Insurance companies understand this perfectly well. That's why most insurance contracts include customer deductibles and limited coverage. This seems straightforward enough. Why is it, then, that policymakers appear to have missed this important ...

Quantitative risk analysis (QRA) of industrial facilities has to take into account multiple hazards threatening critical equipment. Nevertheless, engineering procedures able to evaluate quantitatively the effect of seismic action are not well established. Indeed, relevant industrial accidents may be triggered by loss of containment following ground shaking or other relevant natural hazards, eit...