We define the Dowling transform of a real frame arrangement and show how the characteristic polynomial changes under this transformation. As a special case, the Dowling transform sends the braid arrangement An to the Dowling arrangement. Using Zaslavsky's characterization of supersolvability of signed graphs, we show supersolvability of an arrangement is preserved under the Dowling transform. W...

The arrangement design of a submarine depends on the past design data and experts’ experiences. Delay in design can occur due to data missing or the absence of experts. In addition, various compartments and equipment are placed on the limited space called pressure hull in the submarine, so that the relation between the compartments and equipment should be considered carefully when designing the...

this article considers the seismic behavior of beam-to-column joints in steel frames for different bolt arrangements by using of finite element modeling. as the most important beam-to-column joint type, the beam-to-column joints with end-plate is chosen for the analysis. four different specimens have been analyzed. these models had some differences such as bolt arrangement and the presence or a...

geological studies are basic formof operations for the exploration and development of oil and gas fields.preparation of topographical and geological maps and drawingcross section from thesemaps formspart of these operations. existing lineaments in the study area are important, and should be considered in drawing the geological sections. the evaluation of wells stability is one of the important ...

In this paper, experimentally derived correlations of heat transfer and pressure drop are used in a Pareto based Multi-Objective Optimization (MOO) approach to find the best possible combinations of heat transfer and pressure drop of TiO2-water nanofluid flow in tubes fitted with multiple twisted tape inserts in different arrangement. In this study there are four independent design variables: t...

A Weyl arrangement is the arrangement defined by the root system of a finite Weyl group. When a set of positive roots is an ideal in the root poset, we call the corresponding arrangement an ideal subarrangement. Our main theorem asserts that any ideal subarrangement is a free arrangement and that its exponents are given by the dual partition of the height distribution, which was conjectured by ...

a refrigeration cycle is a chain of various pieces of equipment including compressors, condensers, evaporators, and expansion devices each of which takes on a particular thermodynamic process duty in the cycle that eventually results in the production of the required refrigeration. the results of optimized mixed refrigerant cycles (mrcs) in part i show that the configuration of mrc is an effect...

In various research papers, such as [2], one will find the claim that the minLA is optimally solvable on outerplanar graphs, with a reference to [1]. However, the problem solved in that publication, which we refer to as the planar minLA, is different from the minLA, as we show in this article. In constrast to the minimum linear arrangement problem (minLA), the planar minimum linear arrangement ...

0. Introduction 2 1. Main results 3 1.1. Semisimple groups 3 1.2. Factorization problem 4 1.3. Total positivity 5 1.4. Generalized minors 5 1.5. The twist maps 6 1.6. Formulas for factorization parameters 7 1.7. Total positivity criteria 8 1.8. Fundamental determinantal identities 9 2. Preliminaries 10 2.1. Involutions 10 2.2. Commutation relations 10 2.3. Generalized determinantal identities 1...