The structures and properties of [n]sila-acenes (n=2-4) were investigated by density functional theory method. The results of calculations were obtained at B3LYP/6-311G (d,p) level on model species. Energetic criteria suggest that 2-1b (n=2), 3-1b (n=3), and 4-1b (n=4) isomers enjoy stabilization. By frontier orbital analysis, these systems are among the most stable of the family. Also, calcula...

a pseudo-complement of a quadrilateral d of order n, n, > 3, is a non-trivial (n+l)- regular linear space with n - 3n + 3 points and n + n - 3 lines. we prove that if n > 18 and d has at least one line of size n - 1, or if n > 25 , then the set of lines of d consists of three lines of size n -1, 6(n - 2) lines of size n - 2, and n - 5n + 6 lines of size n - 3. furthermore, if n > 21 and d has a...

A pseudo-complement of a quadrilateral D of order n, n, > 3, is a non-trivial (n+l)- regular linear space with n - 3n + 3 points and n + n - 3 lines. We prove that if n > 18 and D has at least one line of size n - 1, or if n > 25 , then the set of lines of D consists of three lines of size n -1, 6(n - 2) lines of size n - 2, and n - 5n + 6 lines of size n - 3. Furthermore, if n > 21 and D...

We consider the classical problem of sorting an input array containing $n$ elements, where each element is described with a $k$-bit comparison key and $w$-bit payload. A long-standing open whether there exist $(k + w) \cdot o(n \log n)$-sized Boolean circuits for sorting. landmark result in this area work by Ajtai, Komlós, Szemerédi (An $O(n n)$ network, STOC'83), they showed how to achieve O(n...

What is the ideal body size and shape that we want for ourselves and our partners? What are the important physical features in this ideal? And do both genders agree on what is an attractive body? To answer these questions we used a 3D interactive software system which allows our participants to produce a photorealistic, virtual male or female body. Forty female and forty male heterosexual Cauca...