The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing

By modifying a domain first suggested by Ruth Goodman in 1935 and by exploiting the explicit solution by Fedorov of the Polyá-Chebotarev problem in the case of four symmetrically placed points, an improved upper bound for the univalent Bloch-Landau constant is obtained. The domain that leads to this improved bound takes the form of a disk from which some arcs are removed in such a way that the resulting simply connected domain is harmonically symmetric in each arc with respect to the origin. The existence of domains of this type is established, using techniques from conformal welding, and some general properties of harmonically symmetric arcs in this setting are established.

La "imatge" de la caverna i la temptació constant de corregir Plató: Benjamin Jowett com a exemple

[cat] Les traduccions dels primers capítols del llibre VII de la República de Plató on apareix la famosa imatge de la caverna, εἰκών, presenten una sorprenent i intrigant varietat interpretativa: “al·legoria”, “mite”, “faula”, “paràbola”, “símil”, “comparació”... Aquest article, prenent com a exemple la notable fidelitat al text del traductor victorià de Plató, B. Jowett, i mitjançant una anàlisi rigorosa dels termes que acompanyen la imatge, manté la necessitat de no interpretar ni corregir en aquest cas el gran filòsof idealista o “ideocèntric”, assenyalant alhora, si el capteniment filològic és un altre, les contradiccions resultants i l’ús d’algun terme aliè al lèxic platònic com ara “al·legoria”.

Hazard Risk Management in Large Nordic Companies' Operations in Russia

The objective of this research was to describe how Nordic companies manage hazard risks in their operations in Russia and how the local business environment is considered to affect the hazard risks. Research methods used in this research were literature review and expert interviews. Twelve Nordic industrial companies operating in different fields of industry were interviewed. Large Nordic companies typically guide risk management centralized from the parent company on behalf of the whole company group and the risk management standards and policies are integrated in all subsidiaries. Parent companies typically control hazard risk management in Russia by regular risk management reporting, auditing the Russian sites and by training local managers and employees to risk management work. Many companies have experienced several losses in the first years of operating in Russia before the risk management policies have been implemented in Russian subsidiaries. The companies have learned to take local characteristics better into account by experience and most companies are quite satisfied with their current risk management standards in Russia. The interviews indicate that companies experience especially the poor quality of infrastructure, some features in Russian organizational culture and high level of criminality to increase hazard risks in Russia. However, understanding these features and risks in the business environment makes the management of these risks possible. Risks related to infrastructure can be managed in advance by decreasing dependencies of infrastructure and considering the infrastructure quality already when planning the business operations. Also good local network is often considered critical in order to overcome the complications related to infrastructure. Russian personnel has typically different attitude towards risk management than Nordic personnel and neglecting safety and maintenance and concealing losses is more typical in Russia. By training and guiding the local personnel risk management and safety work and desired ways of actions these risks can be decreased. Criminality risks are often managed to certain extent by investing in security, increasing supervising and paying attention to reliability of the employees and other interest groups of the company.