A note on repelling periodic points for meromorphic functions with bounded set of singular values

Let $f$ be a meromorphic function with bounded set of singular values and for which infinity is a logarithmic singularity. Then we show that $f$ has infinitely many repelling periodic points for any minimal period $n\geq1$, using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.Comment: References and a figure added, improvements in the proof, 8 page

Weighted Sobolev spaces of radially symmetric functions

We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then we discuss the existence of extremals and in some cases we compute the best constants.Comment: 38 page

Beached swords from Marano Lagoon (northern Adriatic) reveal ancient land-sea connections and recent coastal evolution

Depositional and erosional processes, subsidence and sea-level changes have strongly modified the coastal landscape of northern Adriatic lagoons. Such rapid transformations have induced significant consequences on human settlements and, thus, on the archaeological visibility of the area, still largely unexplored. We present here six metal swords fortuitously retrieved by fishermen over the last decades in front of the barrier islands of Marano Lagoon (north-eastern Italy). Multi-analytical analyses carried out on the artefacts (X-ray radiography and computed micro-tomography, radiocarbon dating and typo-chronology) combined with the study of the coastal paleo-environment (mainly based on historical cartography and remote sensing) allowed the items' main features to be defined, and highlighted both the historical importance of the area and the significant morphological changes that have occurred there over the last millennium. Data presented indicate that Marano Lagoon was a major hub in the northern Adriatic in the Late Middle Ages, during the crucial period of the Crusades, and in Early Modern times, connecting inland Europe with the Mediterranean Sea. Moreover, the research highlights the onset of coastal erosion that occurred in the last century after a phase of relatively geomorphic stability, possibly deriving from the intensification of human impact and climate change

El problem of setting educacionales: de Socrates to b. Bloom

This article is devoted to the problem of defining educational goals. The authors singled out the methodological foundations of the problem of setting goals in education, describes the key approaches to its solution, shows the essence and logic of the socially conditioned process of changing educational goals in the historical and pedagogical process, outlines the main stages in the development of the problem of setting goals in the field of education. A retrospective analysis of the development of the problem in domestic and foreign pedagogy was carried out. The choice of personalities is due to the role of Socrates and B. Bloom in the development of the problem: Socrates was the first philosopher of antiquity to raise the problem of setting goals as an educational ideal. B.Bloom for the first time in the history of pedagogy has developed "taxonomy of educational goals" as an innovative system for specifying educational goals. The influence of Bloom's taxonomy on the development of education in the world and the course of modern educational reforms in Russia are shown.Este artículo está dedicado al problema de definir objetivos educativos. Los autores señalaron los fundamentos metodológicos del problema de establecer metas en la educación, describen los enfoques clave para su solución, muestran la esencia y la lógica del proceso condicionado socialmente de cambiar los objetivos educativos en el proceso histórico y pedagógico, describen las etapas principales en el desarrollo del problema de establecer metas en el campo de la educación. Se realizó un análisis retrospectivo del desarrollo del problema en la pedagogía nacional y extranjera. La elección de las personalidades se debe al papel de Sócrates y B. Bloom en el desarrollo del problema: Sócrates fue el primer filósofo de la antigüedad en plantear el problema de establecer metas como ideal educativo. B. Bloom, por primera vez en la historia de la pedagogía, ha desarrollado la "taxonomía de los objetivos educativos" como un sistema innovador para especificar los objetivos educativos. Se muestra la influencia de la taxonomía de Bloom en el desarrollo de la educación en el mundo y el curso de las reformas educativas modernas en Rusia.Este artigo é dedicado ao problema de definir objetivos educativos. Los autores señalar os fundamentos metodológicos do problema de estabelecimento dos metassos na educação, descrevem as enfoques para a solução, muestran a esencia e a lógica do processo de condicionamento social para os objetivos educativos no processo histórico e pedagógico, descrevem as etapas principais o desenvolvimento do problema de estabelecimento de metas no campo da educação. Percebe-se uma análise retrospectiva do desenvolvimento do problema na pedagogia nacional e extranjera. A eleição das personalidades se refere ao papel de Sócrates e B. Bloom no desenvolvimento do problema: Sócrates fue el primer filósofo de the antigüedad en plantear el problema de establecer metas como ideal educativo. B. Bloom, por primera vez na historia da pedagogia, desenhou a taxonomía dos objetivos educativos como um sistema inovador para especificar os objetivos educativos. Se a influência da taxonomia de Bloom no desenvolvimento da educação no mundo e o curso das reformas educativas modernas em Rusia

Reaction of trimethyl phosphite and dimethylphosphorous acid with 1-phenyl-3-methyl-4-benzylidene-5-pyrazolone

1. Trimethyl phosphite adds to l-phenyl-3-methyl-4-benzylidene-5-pyrazolone in two ways: To the {Mathematical expression} conjugated systems to form dimethyl (l-phenyl-2,3-dimethyl-5-pyrazolon-4-yl)benzylphosphinate and dimethyl (1-phenyl-3-methyl-5-methoxy-4-pyrazolyl)benzylphosphinate. 2. The structures of the products are confirmed by chemical and spectroscopic data. © 1970 Consultants Bureau

The Accumulation of Heavy Metals in Leaves of Woody and Vegetable Plants

It is shown that the improvement of the environment can be achieved by using the adsorption properties of leaves of woody plants, which are able to absorb the exhaust gases from vehicles, industrial plants, dust and vapors from air. The number of toxic influence of heavy metals on vegetable plants was established with good indicative properties: Cd > Ni >Pb. Accumulation of heavy metals, leaves of the juniper have any symptoms of poisoning, inhibition of root growth, formation of necrosis, dwarfism, wilting, dropping foliage, etc, especially in leaves exposed to cadmium. Different kinds of heavy metals have their own specifics, which defining the maximum level of exposure in the investigated samples. Virtually all heavy metal compounds are toxic and have carcinogenic effect.It should be noted that the main source of it are the smokestacks of factories, the industrial enterprises and exhaust gases from vehicles. If there is an excess of heavy metals, occur symptoms on plants - growth noticeably slows, getting a dwarf form.Thus, on the basis of obtained date, we get conclusion, that the accumulation of heavy metals by leaves of woody plants, in our casejuniper and oak, is due to the passage of the adsorption process of toxic metals contained in the air basin

Structure and conformations of stereoisomeric 1,5;2,3-bis-O-(N-diethylamidothionephosphatq)-β-D-ribofuranosides from1H,31P, and13C NMR spectral data

1. The preferred conformations of the ribofuranose and 1,3,5,2-trioxaphosphepane rings in stereoisomeric 1,5;2,3-bis-O-(N-diethylamidothionephosphato)-β-D-ribofuranosides are the twisted envelope1TO and the chair C5 CO 1 C 1 conformations, respectively. 2. The conformations of the dioxaphospholane ring in the indicated compounds correspond to the twisted envelope P2 TO 2 and O3TP 2 conformations, distinguished by the cis or trans orientations of the O2P2O3 fragment relative to the H2 and H3 atoms of the ribofuranose ring. © 1981 Plenum Publishing Corporation

Reaction of monothiobenzil with trimethyl phosphite and dimethyl phenylphosphonite

1. The reaction of monothiobenzil with trimethyl phosphite and dimethyl phenylphosphonite gave the 2,2,2-trimethoxy-4,5-diphenyl- and 2,2-dimethoxy-2,4,5-triphenyl-1,3,2-oxathiaphospholenes, which are the first members of the monocyclic 1,3,2-oxathiaphospholenes. 2. The hydrolysis of the obtained phosphoranes results in the cleavage of both the P-O and the P-S bond, with a predominant cleavage of the latter. © 1976 Plenum Publishing Corporation

Interaction of 2-benzylidenindandione-1,3;2-benzylidene-3(2h)-thionaphthenone-1,1-dioxide, and benzalbindone with trimethyl phosphite and tri-(dimethylamino)phosphine

1. In the absence of moisture trimethyl phosphite is added to benzalbindone in CH2C12 solution at the benzylidene double bond, forming a (1:1) adduct with bipolar structure, which isomerizes to the methyl ether of the enol form of the dimethyl ester of bindonylbenzylphosphinic acid (III). The latter is also formed when the reaction is conducted in the absence of a solvent at room temperature. 2. In the interaction of trimethyl phosphite with benzalbindone in the presence of glacial acetic acid, the dimethyl ester of bindonylbenzylphosphinic acid is formed. 3. In the interaction of tri(dimethylamino)phosphine with benzalbindone, 2-benzylidenindandione-1,3, and 2-benzylidene-3(2H)-thionaphthenone-1,1-dioxide, crystalline (1:1) adducts were obtained, possessing the structure of bipolar ions with a P-C bond. 4. The structures of all the products obtained were confirmed by the IR spectra and the data on the chemical shifts of the phosphorus nucleus. © 1970 Consultants Bureau