Contiguous relations of hypergeometric series

The 15 Gauss contiguous relations for ${}_2F_1$ hypergeometric series imply that any three ${}_2F_1$ series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters). We prove several properties of coefficients of these general contiguous relations, and use the results to propose effective ways to compute contiguous relations. We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them.Comment: 12 pages; full bibliography added. This is the published text, with corrected formulas (24)-(25

Dodatne značilnosti burje po frontnem modelu

Similarly to the frontal surface, the upper boundary of the bora must be dynamically balanced in a stationary state. Based on this idea, a special bora model, the frontal bora model, was developed in detail and presented elsewhere (Petkovšek, 1990). The model has given some very interesting results; here additional results of numerical experiments are presented. They show how absolute temperature, height of the ridge, inclination and form of the lee side slope influence the bora thickness and speed

TEMPERATURE DISTRIBUTIONS IN THE BORA UNDER SIMPLE CONDITIONS

Assuming simplified initial temperature conditions in the cold and warm air around a mountain obstacle, and using rather elementary relations for temperature changes, the temperature distributions in a cold air flow down the slope were obtained, as well as some interesting results typical of the bora. Two types of flow were treated: flow with air particles moving parallel to the flow boundaries, and a mixed one: in this way the relations between initial conditions and final temperature distributions in a flow, as well as surface temperature changes with time at the beginning of the bora, were obtained

The Idea of Good in Heidegger\u27s Existential Analysis

Platon gilt als der »Entdecker des Apriori«. Die platonische Definition des Guten, die am tiefsten das Konzept des Apriori bestimmte, erklärt es als »epekeina tes ousias«. Die nachfolgende Entwicklung der abendländischen Philosophie, die von vielen als Geschichte der platonischen Transformationen angesehen wird, kehrte immer wieder zu diesem platonischen Topos zurück und versuchte es als die zentrale Frage der Philosophie selbst zu erklären. Die Trennlinie, die verschiedene Interpretationen in zwei Gruppen teilt, ist der Unterschied zwischen zwei grundlegenden Möglichkeiten des Lebens: Praxis und Theöria. Nach Heidegger hat die traditionelle Philosophie das Apriori im theoretischen Sinne falsch interpretiert. Im Gegensatz zum »theoretischen Apriori« versuchte Heidegger zu zeigen, dass die wahren Wurzeln des Apriori in der Praxis liegen, im menschlichen Sein, das er als Existenz bezeichnet. Das wahre Apriori ist nicht »jenseits« vom Sein, sondern »diesseits« vom Sein, das Platon als utopische, undefinierbare chöra - als unhaltbaren Behälter aller Dinge - beschrieb. Chöra ist der platonische Äquivalent für den Heideggerschen Konzept von Existenz.Plato is considered to be the »discoverer of the Apriori«. Platonic definition of Good most profoundly determined the concept of Apriori and explains it as »epekeina tes ousias«. Subsequent development of Western philosophy seen by many as the history of Platonic transformations constantly returned to that Platonic topos and tried to explain it as the central question of philosophy itself. The dividing line separating diverse interpretations into two fundamental groups is the difference between two fundamental ways of life: praxis and theoria. Heidegger was convinced that traditional philosophy falsely interpreted Apriori in the theoretical sense. Contrary to theoretical Apriori«, Heidegger tries to show that the true roots of Apriori are in praxis, in action that he describes as existence. True Apriori is not »beyond« the Being but »on this side« of the Being. Plato described it as utopic, indefinable chora, uncontainable container of all things. Chora is the Platonic equivalent of Heideggerian existence

Biodiversity of types of ectomycorrhizae in fagus stands in differently polluted forest research plots

V obdobju od 1998 do 2001 smo z mikobioindikacijsko metodo analizirali tipe ektomikorize in določili njihovo raznovrstnost v standardnih volumnih tal različno onesnaženih gozdnih raziskovalnih ploskev bukovih sestojev. Gozdne raziskovalne ploskve so bile izbrane v bližini termoenergetskih objektov (onesnaženo območje: Zavodnje - Prednji vrh in Zasavje - Dobovec) in v okoliciKočevske Reke (referenčno, neonesnaženo območje: Preža in Moravške gredice). Identificirali smo 88 različnih tipov ektomikorize iz skupnega števila 95.044 kratkih korenin. Izračunali smo biodiverzitetne indekse (Shannon-Weaverjev indeks, indeks vrstnega bogastva in indeks izenačenosti) inugotovili, da raznovrstnost tipov ektomikorize v talnih vzorcih onesnaženih ploskev ni bistveno zmanjšana, kar povezujemo z vitalnostjo bukovih sestojev.Types of ectomycorrhizae were identified by the mycobioindication method and biodiversity was assessed in soil cores from differently polluted beech forestresearch plots in the period 1998 - 2001. Forest research plots were situated in the vicinity of thermal power plants (polluted plots: Zavodnje - Prednji vrh and Zasavje - Dobovec) and in unpolluted areas (in the vicinity ofKočevska Reka: Preža and Moravške gredice). Eighty-eight different types of ectomycorrhizae were determined from a total of 95,044 root tips. Biodiversityindices (Shannon- Weaver index of diversity, species richness and equitability) were estimated. In soil cores from polluted areas no decrease inbiodiversity was determined. Consequently, it can be concluded that high biodiversity reflects good health status of beech forest in Slovenia

Stepwise mitigation of the Macesnik landslide, N Slovenia

The paper gives an overview of the history of evolution and mitigation of the Macesnik landslide in N Slovenia. It was triggered in 1989 above the Solcava village, but it enlarged with time. In 2005, the landslide has been threatening a few residential and farm houses, as well as the panoramic road, and it is only 1000 m away from the Savinja River and the village of Solcava. It is 2500 m long and up to more than 100 m wide with an estimated volume in excess of 2 million m(3). Its depth is not constant: on average it is 10 to 15 m deep, but in the area of the toe, which is retained by a rock outcrop, it reaches the depth of 30 m. The unstable mass consists of water-saturated highly-weathered carboniferous formations. The presently active landslide lies within the fossil landslide which is up to 350 m wide and 50 m deep with the total volume estimated at 8 to 10 million m3. Since 2000, the landslide has been investigated by 36 boreholes, and 28 of them were equipped with inclinometer casings, which also serve as piezometers. Surface movements have been monitored geodetically in 20 cross sections. This helped to understand the causes and mechanics of the landslide. Therefore, landslide mitigation works were planned rather to reduce the landslide movement so that the resulting damages could be minimized. The construction of mitigation works was made difficult in the 1990s due to intensive landslide movements that could reach up to 50cm/day with an average of 25 cm/day. Since 2001, surface drainage works in the form of open surface drains have mainly been completed around the circumference of the landslide as the first phase of the mitigation works and they are regularly maintained. As a final mitigation solution, plans have been made to build a combination of subsurface drainage works in the form of deep drains with retaining works in the form of concrete vertical shafts functioning as deep water wells to drain the landslide, and as dowels to stop the landslide movement starting from the slide plane towards its surface. Due to the length of the landslide and its longitudinal geometry it will be divided into several sections, and the mitigation works will be executed consecutively in phases. Such an approach proved effective in the 800 m long uppermost section of the landslide, where 3 parallel deep drain trenches (250 m long, 8 to 12 m deep) were executed in the autumn of 2003. The reduction of the movements in 2004 enabled the construction of two 5 in wide and 22 m deep reinforced concrete shafts, finished in early 2005. In Slovenia, this sort of support construction, known from road construction, was used for the first time for landslide mitigation. The monitoring results show that the landslide displacements have been drastically reduced to less than I cm/day. As a part of the stepwise mitigation of the Macesnik landslide, further reinforced concrete shafts are to be constructed in the middle section of the landslide to support the road crossing the landslide. At the landslide toe, a support construction is planned to prevent further landslide advancement, and its type is still to be defined during the procedure of adopting a detailed plan of national importance for the Macesnik landslide

Belowground ectomycorrhizal fungal communities at fagus stands in differently polluted forest research plots

V talnih vzorcih različno onesnaženih ploskev v bukovih sestojih smo analizirali talno združbo ektomikoriznih gliv. V obdobju od 1998 do 2001 smo zmikobioindikacijsko metodo določali tipe ektomikorize v standardnem volumnu tal različno onesnaženih ploskev. Gozdne raziskovalne ploskve so bile izbrane v bližini termoenergetskih objektov (onesnaženo območje: Zavodnje - Prednji vrh in Zasavje - Dobovec) in v okolici Kočevske Reke (referenčno, neonesnaženoobmočje: Preža in Moravške gredice). Identificirali smo 88 različnih tipov ektomikorize iz skupnega števila 95.044 kratkih korenin. 48 tipov smo določili do vrste, 18 do rodu, za preostalih 22 pa nismo našli ustreznega opisa. Domnevamo, da precejšnje število sodi še k neopisanim tipom ektomikorizevečino slednjih (31 opisov) predstavljamo s kratkimi opisi v članku. Med posameznimi območji smo evidentirali razlike v vrstni sestavi tipov ektomikorize. Iz identificiranih tipov smo izločili dominantne in pogoste vrste, med katerimi so morda ključne vrste ektomikoriznih talnih združb bukovih sestojev.Belowground ectomycorrhizal fungal communities at fagus stands were analysed. Eectomycorrhiza types were identified in soil cores from differently polluted beech forest research plots in the 1998 - 2001 period by mycobioindication method. Forest research plots were situated in the vicinity of thermal power plants (polluted plots: Zavodnje - Prednji vrh and Zasavje - Dobovec) and in unpolluted areas (in the vicinity of Kočevska Reka: Preža and Moravške gredice). Eighty-eight different ectomycorrhiza types were determined from a total of 95,044 root tips. Among them, 48 were identified down to the species level and 18 to the genus levelfor 22 of them, no similarity was found with any of the already described types, so the majority of them are probably undescribed types. Short descriptions of 31 ectomycorrhiza types (most of themare undescribed types) are presented in this article. However, there are differences in species diversity of the types. Among the identified types of ectomycorrhizae, the dominant and common species were selected, some of which are probably the key species of belowground ectomycorrhizal communities of beech forests

The Effects of Public - Private Partnership Act on the Slovenian Public Utilities Providers

The paper presents the legal status of existing public enterprises in Slovenia before and after the adoption of Public-Private Partnership Act, that demanded the reorganization of existing public enterprises in the period 2007-2009. The paper also presents the analysis of local public utilities delivery mechanisms in Slovenia, focusing on the local public utilities providers in the field of water and waste management. The aim of the paper is to introduce the changes in the legal status of existing public enterprises, caused by new legislation and also to give an insight into the current state of local public utilities providers in the field of water and waste management. The results confirm the fact that public enterprise is the most common organizational form of local public utilities providers in the field of water and waste management and lead to conclusion that in the reorganization process the majority of existing public enterprises retained the status of a public enterprise