Uniformly Quasiregular Maps on the Compactified Heisenberg Group

We show the existence of a non-injective uniformly quasiregular mapping acting on the one-point compactification $\bar{ {\mathbb{H}}}^{1}={\mathbb{H}}^{1}\cup\{\infty\}$ of the Heisenberg group ℍ1 equipped with a sub-Riemannian metric. The corresponding statement for arbitrary quasiregular mappings acting on sphere ${\mathbb{S}}^{n}$ was proven by Martin (Conform. Geom. Dyn. 1:24-27, 1997). Moreover, we construct uniformly quasiregular mappings on $\bar{ {\mathbb{H}}}^{1}$ with large-dimensional branch sets. We prove that for any uniformly quasiregular map g on $\bar{ {\mathbb{H}}}^{1}$ there exists a measurable CR structure μ which is equivariant under the semigroup Γ generated by g. This is equivalent to the existence of an equivariant horizontal conformal structur

Taide tarttuu matematiikkaan

Matematiikan tutkimukseen liittyy sen tekijöiden mielissä tietty taiteellinen aspekti, joka yleensä jää näkymättömiin viimeistellyissä julkaisuissa. Kysymys on usein visuaalisista ideoista, joita tutkija käyttää työnsä hahmottamiseen. Näitä mielikuvia myös tyypillisesti jaetaan ahkerasti kollegoiden kanssa aiheesta keskusteltaessa jo tutkimuksen alkumetreillä sekä myös sen valmistumisen jälkeen. Tämä on yleensä nopein tapa ymmärtää, mistä abstraktissa työssä oikein on kysymys

Nursing students’ motivation regulation strategies in blended learning: A qualitative study

Although there is a strong body of evidence showing that motivational factors are critical components of self‐regulated professional learning and commitment to work, little is known about nursing students' motivation regulation during their studies. The aim of this study was to gain a deeper understanding of nursing students' motivation regulation (MR) strategies and factors contributing to their reported use along their 3‐year study path in a blended learning environment. A purposeful sampling was used to select 12 undergraduate nursing students, who exhibited different MR profiles and had completed almost 3 years of study in a BL degree program. A qualitative, deductive, content analysis was used to depict students' experiences from their retrospective recollection in the interview situation. Seven motivation strategies were identified: environmental structuring, self‐consequating, goal‐oriented self‐talk, efficacy management, emotion regulation, regulation of value, and interest enhancement. Individual and situational factors were found to enhance and to sustain the use of appropriate MR strategies. The students exhibited versatility in their use of MR strategies, which were related to the study phase. These findings regarding nursing students' MR strategies should be considered in the development of nursing education programs and the implementation of improvements that contribute to professional and self‐regulated learning in BL programs.Peer reviewe

Dissociative features related to imaginary companions in the assessment of childhood adversity and dissociation: A pilot study

Childhood imaginary companions (ICs) are common and a normal part of child development, but certain aspects of ICs are also connected to adversity and dissociation. The purpose of this pilot study is to find out what kind of ICs children in mental health care have, are the features of ICs related to stressful childhood experiences, and whether the assessment of ICs could provide insight to the assessment of children. 19 7-12-year-old participants were recruited via a Finnish child psychiatry clinic. The children were interviewed using the imaginary companions interview. The legal guardians reported background information and information about stressful childhood experiences. The data was analyzed both quantitatively and qualitatively. In general, the ICs were more likely to have normative features than dissociative features. However, some dissociative IC features were also commonly reported. The SCE duration (U = 39.0, p = 0.029) and the number of dissociative IC features (U = 59.5, p = 0.005) were significantly higher for children with 6 or more ICs than for children with 1-2 ICs. There was a positive correlation between SCE duration and number of ICs (1-2 ICs vs. 6 or more ICs), r(12)) = 62, p = .018, and between dissociative IC features and number of ICs, r(15)) = 676, p = .003. Due to the small sample size in this study, the results cannot be generalized outside the clinical population with the specific age and symptom profile described in this study. Children were willing to talk about their ICs and interviewing them about their ICs seemed to add value to the assessments. Results and modifications made to the imaginary companions interview are discussed.</p

Interest, burnout and drop-out intentions among Finnish and Danish humanities and social sciences PhD. students

This study focused on advancing understanding on individual variations in doctoral students’ interest in their doctoral studies and how it related to experiences of burnout and drop-out intentions in Denmark and Finland. A total of 365 doctoral students in social sciences and humanities disciplines in Finland and Denmark responded to a Cross-Cultural Doctoral Experience Survey. The results of the study suggest that personal interest plays a central role in preventing study burnout and drop-out intentions. Four interest profiles among the PhD students were identified: the High interest profile, the Moderate interest profile, the Developmental, research and impact interest profile, and the Development and impact interest profile.Advisors and supervisors are in a key position in ensuring that doctoral students begin their doctoral journey with a realistic understanding of the increasingly high demands and expected premises for doctoral studies. It is possible that interest profiles are the same across the two national contexts investigated in this study, but their underpinnings and premises are different. It is likely that a qualitative approach would shed more light on this question.Peer reviewe

Lapseen kohdistuva lähisuhdeväkivalta – keskiössä lasten traumaperäisten oireiden ehkäisy ja hoito

Lapseen kohdistuva väkivalta on yhteiskunnassamme edelleen ongelma, vaikka esiintyvyys on viime vuosikymmeninä vähentynyt. Väkivallan ehkäisyllä ja sen seurausten hyvällä hoidolla on kansanterveydellistä merkitystä. Yleisimmin väkivaltakokemuksiin kytkeytyvä diagnoosi on traumaperäinen stressihäiriö, jonka hoitoon kehitetyistä menetelmistä on vakuuttavaa tutkimusnäyttöä. Interventioita tulisi kehittää enemmän lapsen yksilöllisiä vahvuuksia ja riskitekijöitä huomioiviksi. Menetelmien vaikuttavista komponenteista tulisi saada enemmän tietoa. Traumafokusoituneet menetelmät tulee implementoida harkiten ja huolella, kuten muutkin ­psykososiaaliset menetelmät ja hoitomuodot