The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.

Habilidades de cognición social en niños y niñas con el síndrome de Down: resultados de un estudio preliminar

The understanding of false belief is one of the most important milestones in the development of social cognition in children. Many studies have been conducted on this kind of cognition in children with a typical development. Despite being a key point for improving their welfare and quality of life, there are few studies in children with Down's syndrome. The aim of the present work is to carry out an in-depth study of social cognition in children with Down's syndrome. For this purpose, we used 6 tasks, with 3 levels of difficulty, in a group of 9 children aged between 4 and 14 years. Six of these children had a genetic diagnosis of Down's syndrome. The results of our research corroborate previous studies suggesting difficulties in the development of social cognition in children with Down's syndrome, and more specifically in tasks involving false beliefs