62 research outputs found

    SYMMETRIES OF PLANE FIGURES

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    V diplomskem delu najprej predstavimo osnovne definicije teorije grup, ki jih potrebujemo skozi celotno diplomsko delo. Nato nekaj povemo o rotacijah v R^2 in R^3 okrog izhodišča in ortogonalnih matrikah. V naslednjih štirih poglavjih študiramo simetrijo ravninskih likov s pomočjo grupe togih gibanj v ravnini. Opišemo grupo M vseh togih gibanj v ravnini ter končne in diskretne grupe gibanj, temu pa sledita dva izreka in sicer izrek o fiksni točki in izrek, da je vsako togo gibanje, translacija, rotacija, zrcaljenje, drsno zrcaljenje. V poglavju Abstraktna simetrija se srečamo s pojmi avtomorfizem, stabilizator in orbita. V nadaljevanju vpeljemo kvocientno grupo in obravnavamo operacijo na odsekih ter zapišemo formulo preštevanja. V zadnjih dveh poglavjih predstavimo permutacijsko upodobitev grupe in formulo preštevanja za klasifikacijo končnih podgrup rotacijske grupe SO3.In the beginning of the diploma work the basic definitions of group theory, which are important for the whole diploma work, are represented. Then we mention rotations R^2 and R^3 around the origin and orthogonal matrixes. In the next four chapters we are studying the symmetry of plane figures with the help of the group of rigid motions in a plane. We are describing the group M of all rigid motions in a plane and the finite and discrete group of motions. This is followed by two theorems, the fixed point theorem and the theorem, that every rigid motion is a translation, rotation, reflection, glide reflection or identity. In the chapter Abstract symmetry we met the therms automorphism, stabilizer and orbit. In the continuation we introduce the quotient group and are dealing with operation on cosets and write down the Counting formula. The last two chapters are including the permutation representation of the group and the Counting formula for the classification of the finite subgroups of the rotation group SO3

    Design and implementation of a shape memory alloy actuated reconfigurable wing

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    Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to [email protected], referencing the URI of the item.Includes bibliographical references (leaves 87-93).Issued also on microfiche from Lange Micrographics.The unique thermal and mechanical properties exhibited by shape memory alloys (SMAs) present exciting design possibilities in the field of aerospace engineering. When properly trained, SMA wires act as linear actuators by contracting when heated and returning to their original shape when cooled. These SMA wire actuators can be attached to points on the inside of an airfoil, and can be activated to alter the shape of the airfoil. This shape-change can effectively increase the efficiency of a wing in flight at several different flow regimes. To determine the necessary placement of the SMA wire actuators within the wing, an optimization method that incorporates a coupled structural, thermal, and aerodynamic analysis has been utilized. Due to the complexity of the analyses in question, a global optimization method must be implemented. A genetic algorithm has been chosen as the optimization tool to efficiently converge to a design solution. The genetic algorithm used in this case is a hybrid version with global search and optimization capabilities augmented by the simplex method with selective line search as a local search technique. The genetic algorithm has been used to optimize this design problem to maximize the lift-to-drag ratio for a reconfigured airfoil shape at subsonic flow conditions. A wind tunnel model reconfigurable wing was fabricated based on the design optimization to verify the predicted structural and aerodynamic response. Wind tunnel tests indicated an increase in lift for a given flow velocity and angle of attack by activating the SMA wire actuators. The pressure data taken during the wind tunnel tests followed the trends expected from the numerical pressure results

    Micro-grid energy management: a computational approach based on simulation and approximate discrete abstraction

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    We address the problem of designing an energy management system for a small scale micro-grid comprising a chiller plant and a cooling load representing some zone. The energy management task involves distributing the cooling power request among the chillers constituting the chiller plant, and modulating the temperature set-point of the zone so as to save energy while preserving comfort. The problem can be decoupled into a static optimization problem and a dynamic programming problem for a discrete time stochastic hybrid system. The latter one is here addressed by abstracting the stochastic hybrid model to a (finite) controlled Markov chain, where costs associated to transitions are computed by simulating the original model and determining the corresponding energy consumption. A numerical example shows the efficacy of the approach

    Approximate dynamic programming-based control of a building cooling system with thermal storage

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    The paper addresses the energy management of a building cooling system comprising a chiller plant with two chillers, a thermal storage unit, and a cooling load representing a building. Uncertainty affects the system since the cooling load depends on the building occupancy. The goal is minimizing the energy consumption of the cooling system, while preserving comfort in the building. This is achieved by optimally distributing the cooling load demand among the chillers and the thermal storage unit, and modulating the building temperature set-point to some (limited) extent. The problem can be decomposed into a static optimization problem, and a dynamic programming problem, which is solved based on the abstraction to a Markov chain of the stochastic hybrid system modeling the cooling system

    Barley Albumins and Globulins Electrophoretic Protein Pattern as Affected by Different Extraction Solvents

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    Cilj ovog rada je bio ustanoviti kako različita otapala utječu na ekstraktibilnost albumina i globulina ječma te ustanoviti njihov utjecaj na raspored proteinskih vrpci po provedenoj SDS - PAGE. Albumini ječma su ekstrahirani MilliQ vodom, globulini ječma 0,5 M NaCl slijednom ekstrakcijom nakon ekstrakcije albumina, a albuminsko-globulinska frakcija proteina pomoću dva različita otapala: 50 mM Tris-HCl pufera pH 8,0 i 0,5 M NaCl. Rezultati su pokazali da se stupnjevitom ekstrakcijom albumina i globulina iz ječma ekstrahira podjednaka količina albumina i globulina, pri čemu albumini čine 53 ± 1 %, a globulini 47 ± 1% od sume ovih dviju frakcija proteina. Primjenom direktne ekstrakcije albuminsko/globulinske frakcije pomoću 50 mM Tris-HCl pufera pH 8,0, ili 0,5 M NaCl ekstrahirana je količina proteina jednaka sumi stupnjevito ekstrahiranih albumina i globulina. Primijenjeno ekstrakcijsko otapalo pokazalo je značajan učinak na raspored proteinskih vrpci albumina, globulina i albuminsko/globulinske frakcije proteina ječma po provedenoj SDS-PAGE. Albumineje od globulina bilo moguće razlikovali po proteinskim vrpcama u rasponu molekulskih masa između 20 i 45 kDa, te nedostatkom proteinske vrpce molekulske mase 59 kDa.Albuminsko/globulinska frakcija proteina sadržavala je sve proteinske vrpce uočene u albuminskoj i globulinskoj frakciji proteina. Albuminsko/globulinske frakcije proteina ječma ekstrahirane pomoću 50 mM Tris-HCl pufera pH 8,0, ili 0,5 M NaCl pokazivale su gotovo identičan raspored proteinskih vrpci, s tim da je albuminsko/globulinska frakcija ekstrahirana pomoću 50 mM Tris-HCl pufera pH 8,0 pokazivala dodatnu proteinsku vrpcu molekulske mase 140 kDa, a albuminsko/globulinska frakcija ekstrahirana pomoću 0,5 M NaCl znatno intenzivniju proteinsku vrpcu molekulske mase 59 kDa.Influence of different extraction solvents on barley flour albumins and globulins concentration, as well as albumin and globulin electrophoretic protein pattern obtained after SDS-PAGE was investigated. Albumins were extracted with Milli Q water, globulins with 0.5 M NaCl sequentially after albumin extraction, while albumin/globulin protein fraction directly by 50 mM Tris-HCl buffer pH 8.0 or 0.5 M NaCl. Results showed that almost the same amount of albumins and globulins were extracted from barley flour by sequential extraction. Extracted albumins presented 53 ± 1 % and globulins 47 ± 1% of the sum of these two protein fractions. Protein concentration equal to the sum of sequentially extracted albumins and globulins was obtained when direct extraction of albumin/globulin protein fractions by 50 mM Tris-HCl buffer pH 8.0 or 0.5 M NaCl were performed. Extraction solvent significantly influenced SDS-PAGE electrophoretic protein pattern of albumins, globulins and albumin/globulin protein fraction. Albumins could be discriminated from globulins by several proteins bands in the range of 20 to 45 kDa, as well as by the absence of protein band around 59 kDa which was present in globulin pattern. Electrophoretic pattern of albumin/globulin protein fractions contained all protein bands observed in albumin and globulin protein fractions alone. Although albumin/globulin protein fractions extracted by 50 mM Tris-HCl buffer pH 8.0 or 0.5 M NaCl showed almost identical protein pattern, slight differences between these two fractions could be observed. Albumin/globulin protein fraction extracted by 50 mM Tris-HCl buffer pH 8.0 had additional protein band around 140 kDa, while those one extracted by 0.5 M NaCl showed more intense protein band around 59 kDa

    SDS-PAGE of Barley Albumins and Globulins

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    Cilj je ovog rada bio ustanoviti mogu li se sorte ječma međusobno razlikovati na osnovi rasporeda proteinskih vrpci albumina, globulina ili albuminsko/globulinske frakcije po provedenoj poliakrilamid gel elektroforezi u prisutnosti natrijeva dodecil-sulfata. Ekstrakcija proteina (albumina, globulina ili albuminsko/globulinske frakcije) provedena je na tri načina. Albumini i globulini su stupnjevito ekstrahirani pomoću Milli Q vode (albumini), i potom pomoću 0,5 M NaCl (globulini), a albuminsko/globulinska frakcija proteina pomoću dva otapala, 50 mM Tris-HCl pufera pH 8,0 ili 0,5 M otopine NaCl. Rezultati su pokazali da sorte ječma nije moguće nedvojbeno razlikovati na osnovi razlika u koncentraciji ekstrahiranih albumina, globulina ili albuminsko/globulinske frakcije proteina. Primjena SDS-PAGE albumina, globulina i albuminsko/globulinske frakcije proteina sorti ječma pokazala je ograničenu mogućnost razlikovanja sorti ječma. Najviše razlika između sorti uočeno je u elektroforetskom rasporedu albuminskih vrpci po provedenoj SDS-PAGE, gdje je nedvojbeno identificirano 3 od 6 ispitivanih sorti.Discrimination of barley varieties by SDS-PAGE electrophoretic protein patterns of barley albumins, globulins and albumin/globulin protein fractions was investigated. Albumins and globulins were sequentially extracted from barley flour as follows: albumins by Milli Q water followed by extraction by 0.5 M NaCl for globulins, while albumin/globulin protein fractions were extracted directly by 50 mM Tris-HCl buffer pH 8.0 or 0.5 M NaCl. Obtained results showed limited capability for variety discrimination by protein content in albumin, globulin and/or albumin/globulin protein fractions, as well as by SDS-PAGE. The most promising was SDS-PAGE separation of albumins where 3 varieties of 6 examined were identified by their differences in protein pattern
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