Hierarchy and Expansiveness in Two-Dimensional Subshifts of Finite Type

Subshifts are sets of configurations over an infinite grid defined by a set of forbidden patterns. In this thesis, we study two-dimensional subshifts offinite type (2D SFTs), where the underlying grid is Z2 and the set of for-bidden patterns is finite. We are mainly interested in the interplay between the computational power of 2D SFTs and their geometry, examined through the concept of expansive subdynamics. 2D SFTs with expansive directions form an interesting and natural class of subshifts that lie between dimensions 1 and 2. An SFT that has only one non-expansive direction is called extremely expansive. We prove that in many aspects, extremely expansive 2D SFTs display the totality of behaviours of general 2D SFTs. For example, we construct an aperiodic extremely expansive 2D SFT and we prove that the emptiness problem is undecidable even when restricted to the class of extremely expansive 2D SFTs. We also prove that every Medvedev class contains an extremely expansive 2D SFT and we provide a characterization of the sets of directions that can be the set of non-expansive directions of a 2D SFT. Finally, we prove that for every computable sequence of 2D SFTs with an expansive direction, there exists a universal object that simulates all of the elements of the sequence. We use the so called hierarchical, self-simulating or fixed-point method for constructing 2D SFTs which has been previously used by Ga´cs, Durand, Romashchenko and Shen.

D-luokan audiovahvistimen särö ja kohina

Tämän kandidaatintyön aiheena on D-luokan audiovahvistimen särö ja kohina. Tarkoituksena on selvittää vahvistinluokan merkittävin särö- ja kohinamekanismi, sekä arvioida, voidaanko häiriöitä vähentää lähdön suodattimella. Tutkimusmenetelminä on kirjallisuus ja simulointi. Aineistona on käytetty IEEE:ssä julkaistuja tieteelisiä artikkeleita, eri valmistajien laatimia ohjeita, sekä aihetta käsitteleviä kirjoja. Keskeisimmät tulokset olivat, että merkittävin särömekanismi on transistoreiden suoja-ajan aiheuttama vääristymä, sekä että merkittävin kohina syntyy modulaatiossa käytetystä kantoaallosta. Kantoaallon näkyvyyteen kuormassa voidaan vaikuttaa ulostulon alipäästösuodattimella. Suoja-ajan aiheuttama harmoninen kokonaissärö asettuu musiikin kaistanleveydelle, joten sitä ei voida poistaa suodattamalla.

Case: Kitaravahvistimen AB-luokan tehovahvistimen päivittäminen D-luokkaan

D-luokan vahvistimien etu perinteisiin A- tai AB-luokan vahvistimiin nähden on niitten korkea hyötysuhde ja pieni koko. Lisäksi ne ovat edullisia ja niihin voidaan asentaa pienemmät jäähdytyslevyt kuin perinteisiin vahvistimiin korkean hyötysuhteen ansiosta. Tässä tutkimuksessa asennetaan Peavey Solo –kitaravahvistimen pääteasteena toimivan AB-luokan päätevahvistimen tilalle tehokkaampi ja uudempaa vahvistinluokkaa edustava D-luokan vahvistin. Tutkimuksessa selvitetään, miten D-luokan vahvistimella toteutettu kytkentä toimii verrattuna alkuperäiseen kytkentään tutkimalla kitaravahvistimelle tyypillisiä sähköisiä ominaisuuksia. Työ toteutetaan mittauksin. Koska työssä olevissa kytkennöissä on jännitteisiä osia, on siinä perehdyttävä sähköturvallisuuteen. D-luokan vahvistin asettaa tietyt sähkötekniset kestävyysvaatimukset kytkennän teholähteelle ja kaiutinelementille, jolloin työssä paneudutaan myös niiden valintaan. D-luokan vahvistimeen päivitetyn kytkennän tuottamat äänenpainetasot olivat valtaosassa mittauksia suuremmat kuin alkuperäisellä kytkennällä. Äänenpainetasojen mittaustilanteissa myös kuormalle syötetyt tehot olivat suuremmat päivitetyllä kytkennällä verrattuna alkuperäiseen. Suurin päivitetyn kytkennän kuorman teho 72,72 W saavutettiin, kun kaiutinelementin yli oli 24,12 V:n jännitteen tehollisarvo ja kuorman teho oli noin 36 kertaa suurempi kuin alkuperäisellä kytkennällä. D-luokan vahvistimen mitatut harmonisen särön arvot ovat huomattavasti pienempiä kuin alkuperäisellä vahvistimella. Muokkaamattoman vahvistimen mitatusta sähköisestä taajuusvasteeesta nähdään, että alkuperäinen vahvistin korostaa tiettyjä taajuuksia, kun D-luokan vahvistimen taajuusvaste on sen sijaan likimain tasainen. Akustinen taajuusvaste ei ole niin tasainen D-luokan vahvistimeen päivitetyllä kytkennällä kuin alkuperäisellä kytkennällä ja sillä on myös kapeampi taajuusalue. Jos päivitetyn kytkennän sointia haluttaisiin parantaa, pitäisi tutkia lisää akustiseen taajuusvasteeseen vaikuttavia asioita.

Spectral Retinal Images Reconstruction

While red-green-blue (RGB) image of retina has quite limited information, retinal multispectral images provide both spatial and spectral information which could enhance the capability of exploring the eye-related problems in their early stages. In this thesis, two learning-based algorithms for reconstructing of spectral retinal images from the RGB images are developed by a two-step manner. First, related previous techniques are reviewed and studied. Then, the most suitable methods are enhanced and combined to have new algorithms for the reconstruction of spectral retinal images. The proposed approaches are based on radial basis function network to learn a mapping from tristimulus colour space to multi-spectral space. The resemblance level of reproduced spectral images and original images is estimated using spectral distance metrics spectral angle mapper, spectral correlation mapper, and spectral information divergence, which show a promising result from the suggested algorithms.

Glutathione Transferases as Detoxification Agents: Structural and Functional Studies

Glutathione transferases (GSTs) are a diverse family of enzymes that catalyze the glutathione-dependent detoxification of toxic compounds. GSTs are responsible for the conjugation of the tripeptide glutathione (GSH) to a wide range of electrophilic substrates. These include industrial pollutants, drugs, genotoxic carcinogen metabolites, antibiotics, insecticides and herbicides. In light of applications in biomedicine and biotechnology as cellular detoxification agents, detailed structural and functional studies of GSTs are required. Plant tau class GSTs play crucial catalytic and non-catalytic roles in cellular xenobiotic detoxification process in agronomically important crops. The abundant existence of GSTs in Glycine max and their ability to provide resistance to abiotic and biotic stresses such as herbicide tolerance is of great interest in agriculture because they provide effective and suitable tools for selective weed control. Structural and catalytic studies on tau class GST isoenzymes from Glycine max (GmGSTU10-10, GmGSTU chimeric clone 14 (Sh14), and GmGSTU2-2) were performed. Crystal structures of GmGSTU10-10 in complex with glutathione sulfenic acid (GSOH) and Sh14 in complex with S-(p-nitrobenzyl)-glutathione (Nb-GSH) were determined by molecular replacement at 1.6 Å and 1.75 Å, respectively. Major structural variations that affect substrate recognition and catalytic mechanism were revealed in the upper part of helix H4 and helix H9 of GmGSTU10-10. Structural analysis of Sh14 showed that the Trp114Cys point mutation is responsible for the enhanced catalytic activity of the enzyme. Furthermore, two salt bridges that trigger an allosteric effect between the H-sites were identified at the dimer interface between Glu66 and Lys104. The 3D structure of GmGSTU2-2 was predicted using homology modeling. Structural and phylogenetic analysis suggested GmGSTU2-2 shares residues that are crucial for the catalytic activity of other tau class GSTs–Phe10, Trp11, Ser13, Arg20, Tyr30, Leu37, Lys40, Lys53, Ile54, Glu66 and Ser67. This indicates that the catalytic and ligand binding site in GmGSTU2-2 are well-conserved. Nevertheless, at the ligandin binding site a significant variation was observed. Tyr32 is replaced by Ser32 in GmGSTU2-2 and thismay affect the ligand recognition and binding properties of GmGSTU2-2. Moreover, docking studies revealed important amino acid residues in the hydrophobic binding site that can affect the substrate specificity of the enzyme. Phe10, Pro12, Phe15, Leu37, Phe107, Trp114, Trp163, Phe208, Ile212, and Phe216 could form the hydrophobic ligand binding site and bind fluorodifen. Additionally, side chains of Arg111 and Lys215 could stabilize the binding through hydrogen bonds with the –NO2 groups of fluorodifen. GST gene family from the pathogenic soil bacterium Agrobacterium tumefaciens C58 was characterized and eight GST-like proteins in A. tumefaciens (AtuGSTs) were identified. Phylogenetic analysis revealed that four members of AtuGSTs belong to a previously recognized bacterial beta GST class and one member to theta class. Nevertheless, three AtuGSTs do not belong to any previously known GST classes. The 3D structures of AtuGSTs were predicted using homology modeling. Comparative structural and sequence analysis of the AtuGSTs showed local sequence and structural characteristics between different GST isoenzymes and classes. Interactions at the G-site are conserved, however, significant variations were seen at the active site and the H5b helix at the C-terminal domain. H5b contributes to the formation of the hydrophobic ligand binding site and is responsible for recognition of the electrophilic moiety of the xenobiotic. It is noted that the position of H5b varies among models, thus providing different specificities. Moreover, AtuGSTs appear to form functional dimers through diverse modes. AtuGST1, AtuGST3, AtuGST4 and AtuGST8 use hydrophobic ‘lock–and–key’-like motifs whereas the dimer interface of AtuGST2, AtuGST5, AtuGST6 and AtuGST7 is dominated by polar interactions. These results suggested that AtuGSTs could be involved in a broad range of biological functions including stress tolerance and detoxification of toxic compounds.

A Topological Approach to Fuzzy Sets

This thesis presents a topological approach to studying fuzzy setsby means of modifier operators. Modifier operators are mathematical models, e.g., for hedges, and we present briefly different approaches to studying modifier operators. We are interested in compositional modifier operators, modifiers for short, and these modifiers depend on binary relations. We show that if a modifier depends on a reflexive and transitive binary relation on U, then there exists a unique topology on U such that this modifier is the closure operator in that topology. Also, if U is finite then there exists a lattice isomorphism between the class of all reflexive and transitive relations and the class of all topologies on U. We define topological similarity relation "≈" between L-fuzzy sets in an universe U, and show that the class LU/ ≈ is isomorphic with the class of all topologies on U, if U is finite and L is suitable. We consider finite bitopological spaces as approximation spaces, and we show that lower and upper approximations can be computed by means of α-level sets also in the case of equivalence relations. This means that approximations in the sense of Rough Set Theory can be computed by means of α-level sets. Finally, we present and application to data analysis: we study an approach to detecting dependencies of attributes in data base-like systems, called information systems.

Time to volume through efficient multi-site ramp-up

The aim of this thesis was to create a process for all multi-site ramp-up (MSRU) projects in the case company in order to have simultaneous ramp-ups early in the market. The research was done through case study in one company and semi-structured interviews. There are already processes, which are now in use in MSRU-cases. Interviews of 20 ramp-up specialists revealed topics to be improved. Those were project team set up, roles and responsibilities and recommended project organization, communication, product change management practices, competence and know how transfer practices and support model. More R&D support and involvement is needed in MSRU-projects. DCM’s role is very important in the MSRU-projects among PMT-team; he should be the business owner of the project. Recommendation is that product programs could take care of the product and repair training of new products in volume factories. R&D’s participation in competence transfers is essential important in MSRU-projects. Communication in projects could be shared through special intranet commune. Blogging and tweeting could be considered in the communication plan. If hundreds of change notes are open in ramp-up phase, it should be considered not to approve the product into volume ramp-up. PMTs’ supports are also important and MSRU-projects should be planned, budgeted and executed together. Finally a new MSRU-process is presented in this thesis to be used in all MSRU-projects.

Utilization of multi-branding in business to business markets

Case company utilizes multi-branding strategy (or house of brands strategy) in its product portfolio. In practice the company has multiple brands – one main brand and four acquired brands – which all utilize one single product platform. The objective of this research is to analyze case company’s multi-branding strategy and its benefits and challenges. Moreover, the purpose is to clarify that how could a company in B2B markets utilize multi-branding strategy more efficiently and profitably. The theoretical part of this thesis consists of aspects of branding strategies; different brand name architectures, benefits and challenges of different strategies and different ways of utilize branding strategies in mergers and acquisitions. The empirical part, on the other hand, includes the description of the case company’s branding strategy and the employees’ perspective on the benefits and challenges of multi-branding strategy, and how to utilize it more efficiently and profitably. This study shows, that the major benefits of utilizing multi-branding are lower production costs, ability to reach wider market coverage, possibility to utilize common sales tools, synergies in R&D and shared resources. On the other hand, the major challenges are lack of product differentiation, internal competition, branding issues in production and deliveries, pricing issues and conflicts, and compromises in product compatibility and suitability. Based on the results, several ways to utilize multi-branding strategy more efficiently and profitably were found; by putting more effort on brand image and product differentiation, by having more co-operation among the brands and by focusing on more precise customer and market segmentation.

Analysis and guidelines for implementation of EN 1090-2 Standard to assist execution class assignment of steel structures

Finnish design and consulting companies are delivering robust and cost-efficient steel structures solutions to a large number of manufacturing companies worldwide. Recently introduced EN 1090-2 standard obliges these companies to specify the execution class of steel structures for their customers. This however, requires clarifying, understanding and interpreting the sophisticated procedure of execution class assignment. The objective of this research is to provide a clear explanation and guidance through the process of execution class assignment for a given steel structure and to support the implementation of EN 1090-2 standard in Rejlers Oy, one of Finnish design and consulting companies. This objective is accomplished by creating a guideline for designers that elaborates on the four-step process of the execution class assignment for a steel structure or its part. Steps one to three define the consequence class (projected consequences of structure failure), the service category (hazards associated with the service use exploitation of steel structure) and the production category (manufacturing process peculiarities), based on the ductility class (capacity of structure to withstand deformations) and the behaviour factor (corresponds to structure seismic behaviour). The final step is the execution class assignment taking into account results of previous steps. Main research method is indepth literature review of European standards family for steel structures. Other research approach is a series of interviews of Rejlers Oy representatives and its clients, results of which have been used to evaluate the level of EN 1090-2 awareness. Rejlers Oy will use the developed novel coherent standard implementation guideline to improve its services and to obtain greater customer satisfaction.