In this paper we use Weil’s estimate on character sums to prove that large admissible prime powers q admit 2-(q, k, 1) designs having block-transitive automorphism groups in AGL(1, q).

The paper examines the nexus between COVID-19-induced anxiety and performance of SME stocks in China, India, Japan. is measured using index which tracks Exchange each country. We use daily data on number COVID-19 cases deaths to construct our index. Our findings suggest that pandemic does not have a significant impact stocks.

The fabrication of submicron-height sine-like relief of a trifocal diffractive zone plate using a nanoimprinting technique is studied. The zone plate is intended for use in combined trifocal diffractive–refractive lenses and provides the possibility to form trifocal intraocular lenses with predetermined light intensity distribution between foci. The optical properties of the designed zone plate...

The article analyzes trustworthy Siberian newspaper’s «The Eastern Review» point of view when covering the events Japanese-Chinese war 1894–1895. Problems in getting true information wartime did not prevent periodical from reflecting position all sides involved. Describing events, newspaper assumed that dynamic developing Japan would be future ally Russia, stagnant, frozen China being strictly ...

This paper introduces a three-dimensional synchronized alternating Turing machine (3-SATM), and investigates fundamental properties of 3-SATM ′s whose input tapes are restricted to cubic ones. The main topics of this paper are: (1) a relationship between the accepting powers of 3-SATM ′s and three-dimensional alternating Turing machines with small space bounds, (2) a relationship between the ac...

If k ≥ 2 is a positive integer the number of representations of a positive integer N as either x1 + x k 2 = N or x k 1 − x2 = N , with integers x1 and x2, is finite. Moreover it is easily shown to be Oε(N), for any ε > 0. It is known that if k = 2 or 3 then the number of representations is unbounded as N varies, but it is conjectured that the number of representations is bounded for k ≥ 4. Inde...

In recent years, auction mechanisms have been widely implemented in online platforms, leading to the advent of reverse auctions sites on which people can offer smalland medium-sized projects such as craft or information technology (IT) projects. These sites are especially interesting for freelancers who can bid for a particular project. The principal offering the project can make a decision bas...