Viaje a la teoría analítica de números desde un problema elemental

El trabajo que presentamos es una experiencia desarrollada por los autores y que consiste en trabajar a diferentes niveles (secundaria, bachillerato y universidad) los conceptos que, de forma natural, aparecen al utilizar la generalización como estrategia de resolución de problemas. Con esta estrategia y resolviendo problemas de los libros de texto de bachillerato, se estudian algunas propiedades de la teoría de números. Esta experiencia permite, además, realizar un trabajo interdisciplinar física-matemáticas.

Phenotypical characterization in "Plasmopara halstedii" (sunflower downy mildew) isolates of several races

Phenotypic variation (morphological and pathogenic characters), and genetic variability were studied in 50 isolates of seven Plasmopara halstedii (sunflower downy mildew) races 100, 300, 304, 314, 710, 704 and 714. There were significant morphological, aggressiveness, and genetic differences for pathogen isolates. However, there was no relationship between morphology of zoosporangia and sporangiophores and pathogenic and genetic characteristics for the races used in our study. Also, our results provided evidence that no relation between pathogenic traits and multilocus haplotypes may be established in P. halstedii. The hypothesis explaining the absence of relationships among phenotypic and genetic characteristics is discussed.

Pl2 resistance gene differentiates the pathogenicity in four "Plasmopara halstedii" (sunflower downy mildew) races 304, 704, 314 and 714

In order to clarify the role of Pl2 resistance gene in differentiation the pathogenicity in Plasmopara halstedii (sunflower downy mildew), analyses were carried out in four pathotypes: isolates of races 304 and 314 that do not overcome Pl2 gene, and isolates of races 704 and 714 that can overcome Pl2 gene. Based on the reaction for the P. halstedii isolates to sunflower hybrids varying only in Pl resistance genes, isolates of races 704 and 714 were more virulent than isolates of races 304 and 314. Index of aggressiveness was calculated for pathogen isolates and revealed the presence of significant differences between isolates of races 304 and 314 (more aggressive) and isolates of races 704 and 714 (less aggressive). There were morphological and genetic variations for the four P. halstedii isolates without a correlation with pathogenic diversity. The importance of the Pl2 resistance gene to differentiate the pathogenicity in sunflower downy mildew was discussed.

Contribution to the knowledge of the genus "Cladonia" in Macaronesia

Sixteen species of the genus Cladonia are reported from Macaronesia from the Canary Islands. Three species are new to canarian flora and, two of them new to Macaronesia. The chemical variation of the taxa is reported. A phytogeographic distribution of the taxa with data on their habitat and ecology are presented.

Las familias "Baeomycetaceae" e I"Icmadophilaceae" en la Península Ibérica

Se aportan datos morfológicos, químicos y de distribución de seis especies de las familias Baeomycetaceae (Baeomyces) e Icmadophilaceae (Dibaeis, Icmadophila, Thamnolia) presentes en la Península Ibérica. Se publican numerosas nuevas citas de Baeomyces rufus y de Dibaeis baeomyces, que constituyen las especies más frecuentes y abundantes en la península.

Contributions to the bryological flora of the tropical and subtropical forests from the Argentina (Bryophyta, Musci).

The authors present here a list of 32 mosses belonging to 15 families: Brachytheciaceae, Cryphaeaceae, Entodontaceae, Hedwigiaceae, Hypnaceae, Leptodontaceae, Meteoriaceae, Neckeraceae, Pilotrichaceae, Polytrichaceae, Pterobryaceae, Racopilaceae, Rigodiaceae, Stereophyllaceae, and Trachypodaceae, all collected in the mountainous forests of the Yungas of the NW of the Argentina (Jujuy, Salta, Catamarca and Tucumán provinces), and also in the rainforests from the NE of the country (Misiones province). Eight species: Atrichum polycarpum, Chrysohypnum elegantulum, Pilosium chlorophyllum, Pilotrichella flexilis, Porotrichodendron lindigii, Pseudotrachypus martinicensis, Steerecleus scariosus, and Thamnobryum fasciculatum are new records for the bryologic flora from Argentina. Braunia imberbis and Squamidium brasiliense are two new records for the bryophytic flora of the Catamarca province; Porotrichodendron superbum is new for the Salta province, while Forsstroemia coronata is the first record for the Catamarca and Jujuy provinces. Aerolindigia capillacea, Braunia reflexifolia, Chryso-hypnum diminutivum, Meteorium deppei and Meteoridium remotifolium are five new citations for the Jujuy province, and Schoenobryum concavifolium is new for the bryophytic flora of the Misiones province. Many studied species occur more frequently in the Yungas than in the NE rainforests; others show separated distribution but live in both areas, the Yungas and Paranaense area, and others are more or less restricted to the Paranaense rainforest of the NE of Argentina. The taxonomy of species is updated, and comments are included on bibliographical precedents, ecology and chorology of each taxon.

First report of "Cotoneaster pannosus" Franch. ("Rosaceae") in Tarragona Province, and updated distribution area in Spain

Cotoneaster pannosus (Rosaceae), an ornamental shrub native to China, is reported for the first time in Tarragona Province (Catalonia, Spain). Data on demography and accompanying species for the new locality are provided, in addition to a chrorological update at nation level.

Floristic notes of Sierra del Rincón Biosphere Reserve (Spain, Madrid province)

New records of vascular plants from Sierra del Rincón Biosphere Reserve and surroundings (Spain, Madrid province) are provided. It is noteworthy the presence of atlantic flora in this continental area and the different shrubby communities in different sectors with different litology: in areas with gneiss they are dominated by leguminous genisteae; where it is schistous, shale or quartzite they are heathlands.

Contribution to the knowlegde of Galician xenoflora (NW Iberian Peninsula, Spain).

Information on 12 exotic plants of diverse interest for the Galician flora are presented. All of them were collected in Ribeira council (SW of the A Coruña province). The total includes 8 novelties at a regional level (Aeonium haworthii, Aloe mitriformis, Brugmansia × candida, Nephrolepis cordifolia, Osteospermum ecklonis, Pelargonium capitatum, Sedum mexicanum, Sparaxis tricolor), and 2 provincial novelties. In addition, information on two taxa hardly mentioned in the literature on Galician vascular flora is also included. All the cited specimens are deposited at the SANT Herbarium.

Canna tandilensis Ciciar. (Cannaceae-Zingiberales), a new species from Argentina.

Canna tandilensis is proposed as a species new to science. Plants grow wild terrestrial, in rocky places exposed to solar radiation forming dense colonies whose individuals of small to medium length, produce reduced inflorescences with large and few yellow to bright orange flowers and narrow and reflexed staminodes. The specific epithet refers to the city of Tandil at the south of Buenos Aires Province where the holotype comes from. It is related to other species having reduced inflorescences, narrow leaves and staminodes, and nectar guides in androecium pieces such as C. lineata. A detailed description of the new species is given, along with a study of the morphological vegetative and floral characters. These characters were compared with those from two other species C. glauca and C. lineata. According to these new evidences two groups of similar species of the genus are suggested. The number of species surveyed until now in Argentina rises to sixteen.

Diversity of functional groups in the vegetation sandy seashore of the Grande, Anclitas and Caguamas Cays (Jardines de la Reina Archipelago, Cuba)

Sandy shores are known to be extreme ecosystems where the vegetation has evolved many morphological and physiological adaptations for its survival. With the aim of identify possible relationships between the vegetation´s functional diversity with abiotic factors and its corresponding quantification, we collected data on the abundance and richness of the sandy coast vegetation complex in Grande, Anclitas and Caguamas keys. Its flora is largely characterized by the dominance of hemicryptophytes and chamaephytes plants with nanophyllous leaves and displaying dispersal syndromes such as zoochory and anemochory. However, the functional groups´ richness, in the present study, varies from one key to another. Functional diversity is similar between the wet and dry seasons, and its spatial variation is influenced by the interplay of the set of abiotic factors herein studied.

Botany origin and protein content of homemade honeys from Galicia hives (NW Spain)

The botanic origin and the protein content of 15 honeys from small bee farms exploitations of Galicia, for family consume, were studied; the aim is to check if the protein wealth and the pollen wealth are dependent parameters. Seven honeys resulted to be Rhamnus frangula unifloral (pollen patterns with low diversity), two Castanea sativa Miller unifloral, other one heather unifloral, and five was multifloral honeys of various pollen patterns (four Castanea predominant and one Rhamnus frangula predominant). Their pollen wealth was low; eight honeys classified in the Maurizio Class I, 3 in Class II, 2 in Class III, and one in Maurizio Class IV. There has been a wide variability in its protein content (0.09- 4.83 mg prot./g honey). The relative amount of pollen from different taxa has a direct or inverse proportionality to wealth protein.

A couple of embroiled sheets of Miguel Barnades Manaider and Esteban de Prado in the Herbaria of Real Colegio Alfonso XII of San Lorenzo de El Escorial (Madrid)

In this paper we present a couple of sheets of Umbelliferae that are preserved in the RCAXII herbaria. One of them, Selinum carvifolia, where collected in the Gredos Mountains by Miguel Barnades Mainader and was identified by his son Miguel Barnades Clarís. The other, Tragium flabellifolium, was collected in Mieres (Asturias) by Esteban de Prado and identified by Mariano La Gasca.