A canonical form for nonderogatory matrices under unitary similarity

A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical forms are given by undirected and, respectively, directed graphs with no undirected cycles. (C) 2011 Elsevier Inc. All rights reserved.

Hypercentral unit groups and the hyperbolicity of a modular group algebra

We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we classify groups G whose modular group algebra has hyperbolic unit groups U-1 (KG).

Nuclear elements of degree 6 in the free alternative algebra

We construct five new elements of degree 6 in the nucleus of the free alternative algebra. We use the representation theory of the symmetric group to locate the elements. We use the computer algebra system ALBERT and an extension of ALBERT to express the elements in compact form and to show that these new elements are not a consequence of the known clegree-5 elements in the nucleus. We prove that these five new elements and four known elements form a basis for the subspace of nuclear elements of degree 6. Our calculations are done using modular arithmetic to save memory and time. The calculations can be done in characteristic zero or any prime greater than 6, and similar results are expected. We generated the nuclear elements using prime 103. We check our answer using five other primes.

REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Q(n) x Z AND Z[1/p](n) x Z, p PRIME

In this paper, we study the Reidemeister spectrum for metabelian groups of the form Q(n) x Z and Z[1/p](n) x Z. Particular attention is given to the R(infinity)-property of a subfamily of these groups.

Synthesis of new fluorous modular chiral ligand derivatives from amino alcohols and application in enantioselective carbon-carbon bond-forming alkylation reactions

N-Trifluoracyl beta-chalcogeno amides and N-perfluoracyl beta-thio amide ligands were prepared by a simple and efficient reaction sequence. These new ligands were evaluated in palladium-catalyzed alkylation of rac-(E)-1,3-diphenyl-2-propenyl acetate in the presence of dimethyl malonate and an enantioselectivity of up to 99% was obtained. After catalysis, the fluorous ligand can be easily recovered by liquid-liquid extraction and reused without loss in the activity. (C) 2010 Elsevier Ltd. All rights reserved.

Thermal analysis and compatibility studies of prednicarbate with excipients used in semi solid pharmaceutical form

Differential Scanning Calorimetry (DSC), thermogravimetry/derivative thermogravimetry (TG/DTG) and infrared spectroscopy (IR) techniques were used to investigate the compatibility between prednicarbate and several excipients commonly used in semi solid pharmaceutical form. The thermoanalytical studies of 1:1 (m/m) drug/excipient physical mixtures showed that the beginning of the first thermal decomposition stage of the prednicarbate (T (onset) value) was decreased in the presence of stearyl alcohol and glyceryl stearate compared to the drug alone. For the binary mixture of drug/sodium pirrolidone carboxilate the first thermal decomposition stage was not changed, however the DTG peak temperature (T (peak DTG)) decreased. The comparison of the IR spectra of the drug, the physical mixtures and of the thermally treated samples confirmed the thermal decomposition of prednicarbate. By the comparison of the thermal profiles of 1:1 prednicarbate:excipients mixtures (methylparaben, propylparaben, carbomer 940, acrylate crosspolymer, lactic acid, light liquid paraffin, isopropyl palmitate, myristyl lactate and cetyl alcohol) no interaction was observed.

The Translation of the -ing form in the Novel The Da Vinci Code

This essay deals with the translation into Swedish of the ing-form in the popular novel The Da Vinci Code. The reason for looking at the -ing form is that it is a grammatical structure which is difficult to render in Swedish since there is no exact equivalent, at least not one which is used in the same manner as the English. The aim is to find out how the translator has dealt with the ing-form and also to find out whether there are any instances where the context has been altered due to the manner in which the translation has been carried out.

Kan ett synintryck upphäva en ljudillusion? : En undersökning av oktavillusionen kopplad till visuella stimuli i form av noter

The present study origins from Diana Deutschs work with the octave illusion and investigates if musically trained subjects can give a more correct perception of the octave illusion if their visual senses also get stimulated in form of scores.Ten subjects, with over 20 years experience playing an instrument, participated in the investigation. The result shows that a more correct perception of the octave illusion depends on the educational level in scorereading. Four out of five subjects who valued their knowledge in scorereading as being good or very good reported that the score corresponded to what they could hear in the right ear, which is connected to the dominant hemisphere. When they were instructed to focus on both ears three of these subjects reported that the score corresponded to what they could hear in the left ear, but that they could not hear the lower tone in the right ear. As the scores for the right ear were equal for the identical soundexamples this perception could be an indication that stimuli are percieved as being complex and the interpretation is alternated to the non dominant hemisphere.

Ungdomars tankar kring betydelsen av färg och form vid framställningen av en internationell webbtidning

När en grafisk profil för en spännande ny internationell webbtidning för ungdomar skall göras är det viktigt att tänka på hur färg och form påverkar våra känslor. Experiment med färg som har gjorts av ledande färgpsykologer och färgvetare som Goethe, Itten, Lüscher och Karl Ryberg bevisar att färg har en stor psykologisk påverkan på människan. Internet är ett väldigt effektiv kommunikationsmedium och för att kommunicera effektivt är det inte bara orden, utan även färgerna och formerna på webbsidorna som skall vara väl genomtänkta. Vilka färger kopplar ungdomar i Sverige och Chile ihop med vissa känslor? Vilka former kopplas ihop med samma känslor? Svaren på de frågorna sammanställdes och analyserades efter svaren på en enkät om färg och form som delades it till två högstadieskolor i Borlänge, Sverige och en i Santiago, Chile.

Omvårdnadsbehov i form av stöd hos kvinnor med bröstcancer : En systematisk litteraturstudie

Föreliggande systematiska litteraturstudie syftade till att samla information och söka evidens för bröstcancerdrabbade kvinnors omvårdnadsbehov från sjuksköterskans i form av stöd för psykiska, sociala eller informativa behov. Sexton vetenskapliga artiklar valdes ut via databasen CINAHL (Cumulative Index to Nursing and Allied Health Literature) och fulltextdatabasen ELIN (Elecronic Library Information Navigator) för vidare granskning. Till sökningen användes sökorden breast*, cancer*, nurs* och support. Alla utvalda artiklar som härrör till syftet kvalitetsbedömdes genom på förhand bestämda granskningskriterier från modifierade förlagor efter Forsberg och Wengström (2003) och Willman, Bahtsevani och Stoltz (2007). Av resultatet framkom det att det fanns stark evidens för att kvinnor med bröstcancer har ett omvårdnadsbehov av socialt stöd, psykiskt stöd och även av information av sjuksköterskan. Omvårdnadsbehov som även kom fram i denna studie är kontinuitet i vården och personliga samtal med sjuksköterskan. Att få utöva sin religiösa tro, sin andlighet och utöva sin kulturella tillhörighet samt likaså känna förtroende är omvårdnadsbehov som blev uppenbarat i resultatet. Resultatet diskuterades utifrån Aaron Antonovskys omvårdnadsteori där känslan av sammanhang är central.

Urininkontinens bland kvinnor : ett dolt hälsoproblem

Syftet med denna studie var att undersöka förekomst och svårighetsgrad av urininkontinens hos kvinnor och hur det påverkade deras dagliga liv. Syftet var vidare att studera om kvinnorna sökt hjälp för sin urininkontinens och om de var nöjda med den hjälp de erbjudits. Studien utgjordes av en tvärsnittsstudie med kvantitativ ansats. Populationen i studien omfattade alla de kvinnor över 18 år som under en dag besökte en framlottad vårdcentral i Dalarna. Totalt delades 416 enkäter ut, varav 397 besvarades och 368 inkluderades i studien. Ett validerat mätinstrument ICIQ-UI SF (The International Consultation on Incontinence Modular Questionnaire-Urine Incontinence Short Form) på svenska användes och två tilläggsfrågor konstruerades. Resultatet visar att 54% av kvinnorna besvärades av urininkontinens där ansträngningsinkontinens var den vanligaste typen. Kvinnorna hade urinläckage av mindre omfattning, liten mängd, och påverkan på dagliga livet var låg, dock var de kvinnor med blandinkontinens mera påverkade. En stor andel sökte inte hjälp för sin urininkontinens då de ansåg att besvären inte var så stora. De få kvinnor som sökt hjälp var nöjda med den hjälp de fått. Svårighetsgraden av urininkontinens enligt ICIQ-UI SF visade att övervägande delen av kvinnorna hade obetydliga till måttliga besvär. Resultatet tyder på att urininkontinens är ett dolt hälsoproblem.

Proceedings from the 2nd seminar on Development of Modular Products : December 13-14, 2004, Campus Framtidsdalen, Dalarna University, Sweden

Companies are focusing on efforts increasing the overall efficiency at the same time as the ability to meet customer needs becomes even more important. There is a need to improve the organisation and the product design at the same time through the visualisation of how a product family design should be performed in order to adapt to customers, company internal issues, and long-term strategy. Therefore, there is a need for qualified personnel in today’s companies with the knowledge of product development and modularity. The graduate course Development of Modular Products at Högskolan Dalarna has the objective to provide such knowledge. As a part of the course, each student will individually perform extensive research within a chosen area with respect to Product Development and Modularity. This proceeding is the result of the students own work and was presented during a two day seminar at Dalarna University. The contents of the papers cover many areas, from the identification of customer needs to cost effective manufacturing, and benefits of modularisation. The reader of this proceeding will not only benefit from many areas within Product Development and Modularity but also from the colour of many cultures. In this proceeding, students from nine countries are represented (Bangladesh, China, Costa Rica, Germany, Holland, India, Luxembourg Nigeria, and Sweden). Enjoy the reading.

Studies of Design and Assembly Defects on Integrated and Modular Architectures

It is known that despite companies’ efforts to improve the quality of their products, design and assembly defects results in large repair costs both in terms of repair and providing feedback to the origin of the defect. The purpose of this paper is to study these types of defects and the defect rates in design and assembly. The paper presents a web based questionnaire answered by 29 companies. The result shows that the defect rate (defects per product) spanned from 0.01 to 10. Also, design and assembly defects covered 46%, 23% respectively, of all occurred defects. A case study is also presented, performed at a company who recently implemented a modular architecture. In this company, defects from 5 700 integrated product architectures are compared with defects from 431 modular architectures. The average defect rate increased by 21.5% – from 0.65 to 0.79 – when a more modular architecture has been implemented. Furthermore, the study showed that the assembly defects have decreased while the design defects increased. The results presented in this paper will also support the development of the MPV (Module Property Verification) method which is briefly described.