We introduce the notion of a prism, which may be regarded as "deperfection" perfectoid ring. Using prisms, we attach ringed site --- prismatic to $p$-adic formal scheme. The resulting cohomology theory specializes (and often refines) most known integral theories. As applications, prove an improved version almost purity theorem allowing ramification along arbitrary closed subsets (without using ...

The title compound, {[Ba{Co(H-2L1)}(ClO4)(H2O)]ClO4} n , L1 = 4,10-bis-[(3-hy-droxy-4-pyron-2-yl)meth-yl]-1,7-dimethyl-1,4,7,10-tetra-aza-cyclo-dodeca-ne, is a one-dimensional coordination polymer. The asymmetric unit consists of a {Ba[Co(H-2L1)](ClO4)(H2O)}+ cationic fragment and a non-coordinating ClO4- anion. In the neutral [Co(H-2L1)] moiety, the cobalt ion is hexa-coordinated in a trigonal...

Brownian particles drifting through a periodically structured force landscape can become entrained by the landscape’s symmetries. What direction a particular particle takes can depend strongly on subtle variations in its physical properties. Consequently, a homogeneously structured force field can sort a mixture of particles into spatially separated fractions, much as an optical prism refracts ...

In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-reaction problem solved by means of prismatic finite elements. We derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP. The presented numerical tests show the sharpness of the obtained conditions.

This paper investigates both experimentally and theoretically the free rocking of a prismatic block supported by a stationary , horizontal foundation: the block is tilted, almost to the point of overturning, and released from this position. It is shown that the standard mathematical model for this problem is often inaccurate. A critical review of the implicit assumptions behind the standard mod...

Methods from algebra and algebraic geometry have been used in various ways to study linkages in kinematics. These methods have failed so far for the study of linkages with helical joints (joints with screw motion), because of the presence of some non-algebraic relations. In this article, we explore a delicate reduction of some analytic equations in kinematics to algebraic questions via a theore...

This paper is about the researches conducted in the fields of development of prismatic stationary concentrators of solar energy and design of photovoltaic modules on their base. The developed concentrators and modules can be used with the silicon solar cells. The modules can be installed stationary without tracking systems. This paper shows the results of researching and development of the two ...