In order to measure flow rate in open channels, including irrigation hydraulic structures are used with a relatively high degree of reliance. Venturi flumes among the most common and efficient type, they can discharge using only water level at specific point within converging section an empirical relationship. There have been limited number attempts simulate venturi flume computational fluid dy...

In the paper, we study special configurations of lines and points in the complex projective plane, so called k-nets. We describe the role of these configurations in studies of cohomology on arrangement complements. Our most general result is the restriction on k it can be only 3,4, or 5. The most interesting class of nets is formed by 3-nets that relate to finite geometries, latin squares, loop...

In this thesis we consider sequences of non-negative integers which arise from counting the periodic points of a map T : X → X, where X is a non-empty set. Some of the main results obtained are concerned with the counting of the periodic points of an endomorphism of a group, in particular when the group is locally nilpotent, for which class of groups a local-global property is established. The ...

A general MMSE decision feedback equalizer (DFE) for multiple input-multiple output channels is presented. It is derived under the constraint of realizability, requiring finite smoothing lag and causal filters both in the forward and feedback link. The proposed DFE, which provides an optimal structure as well as optimal filter degrees, is obtained as an explicit solution in terms of the channel...

In the context of transition analysis, linear input-output analysis determines worst-case disturbances to a laminar base flow based on generic right-hand-side volumetric/boundary forcing term. The is not physically realizable, and, our knowledge, framework for posing physically-realizable disturbance problems lacking. natural receptivity are forced by matching (typically local) solutions within...

Let G(d, n) denote the Grassmannian of d-planes in Cn and let T be the torus (C∗)n/diag(C∗) which acts on G(d, n). Let x be a point of G(d, n) and let Tx be the closure of the T -orbit through x. Then the class of the structure sheaf of Tx in the K-theory of G(d, n) depends only on which Plücker coordinates of x are nonzero – combinatorial data known as the matroid of x. In this paper, we will ...

A single molecular layer of titanium diselenide (TiSe2) is a promising material for advanced electronics beyond graphene-a strong focus of current research. Such molecular layers are at the quantum limit of device miniaturization and can show enhanced electronic effects not realizable in thick films. We show that single-layer TiSe2 exhibits a charge density wave (CDW) transition at critical tem...

In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspec...