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About 10,000 papers for “Genus”

Solitäre Apiden : Genus Eriades, Genus Trachusa, Genus Anthidium

Friese, Heinrich · e-rara.ch

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Genus permutations and genus partitions

Alexander Hock · Enumerative Combinatorics and Applications · 2024

To a given permutation or set partition there is a natural way to assign a genus.Counting all permutations or partitions of a fixed genus according to cycle lengths or block sizes, respectively, is the main content of this article.After a variable transformation, the generating series are rational functions with poles located at the ramification points in the new variable.The generating series for any genus is given explicitly for permutations and up to genus 2 for set partitions.Extending the topological structure not just by the genus but also by adding more boundaries, we derive the generating series of non-crossing partitions on the cylinder from known results of non-crossing permutations on the cylinder.Most, but not all, outcomes of this article are special cases of already known results, however, they are not presented in this way in the literature, which however seems to be the canonical way.To make the article as accessible as possible, we avoid going into details into the explicit connections to Topological Recursion and Free Probability Theory, where the original motivation came from.

Cited by 1Open access

Shake genus and slice genus

Lisa Piccirillo · Geometry & Topology · 2019

An important difference between high-dimensional smooth manifolds and smooth [math] –manifolds that in a [math] –manifold it is not always possible to represent every middle-dimensional homology class with a smoothly embedded sphere. This is true even among the simplest [math] –manifolds: [math] obtained by attaching an [math] –framed [math] –handle to the [math] –ball along a knot [math] in [math] . The [math] –shake genus of [math] records the minimal genus among all smooth embedded surfaces representing a generator of the second homology of [math] and is clearly bounded above by the slice genus of [math] . We prove that slice genus is not an invariant of [math] , and thereby provide infinitely many examples of knots with [math] –shake genus strictly less than slice genus. This resolves Problem 1.41 of Kirby’s 1997 problem list. As corollaries we show that Rasmussen’s [math] invariant is not a [math] –trace invariant and we give examples, via the satellite operation, of bijective maps on the smooth concordance group which fix the identity but do not preserve slice genus. These corollaries resolve some questions from a conference at the Max Planck Institute, Bonn (2016).

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Genus.

Xia Deng (613144), Renzeng Shi (19797560), Rehab O. Elnour (19797563) et al. · Figshare · 2024

<div>Continuous cropping is a common cultivation practice in lavender cultivation, and the structure of the soil microbial community is one of the main reasons affecting the continuous cropping disorder in lavender; however, the relationship between the number of years of cultivation and inter-root microbial composition has not yet been investigated; using Illumina high-throughput sequencing we detected fungal community structure of rhizosphere soil under 1 (L1), 3 (L3), 5 (L5) and 0 (L0) years’ of lavender cultivation in Yili, Xinjiang China. The results showed that with the extension of planting years, the physical-chemical characteristics of the soil shifted, and the diversity of the fungal communities shrank, the abundance and richness of species decreased and then increased, and the phylogenetic diversity increased, The structure of the soil fungal communities varied greatly. At phylum level, dominant fungal phyla were Ascomycetes, Basidiomycetes, etc. At genus level, dominant genera were Gibberella, Mortierella, etc, whose absolute abundance all increased with increasing planting years (P < 0.05); redundancy analysis showed that thesoil physicochemical characteristics significantly correlated with dominant bacterial genera. The FUN Guild prediction showed that six groups of plant pathogens and plant saprotrophs changed significantly (P < 0.05), the amount of harmful bacteria in the soil increased while the amount of arbuscular mycorrhizal fungui (AMF) decreased, leading to a continuous cropping obstacle of lavender. The findings of this study provida theoretical foundation for the management of continuous cropping and the prevention fungus-related diseases in lavender.</div>

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GENUS

DE ROSE A. · IRIS Research product catalog (Sapienza University of Rome) · 2023

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Genus

Directory of Open Access Journals (EBSCO) · 2018

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Genus

Matthew Dalziel, Louise Scullion · Discovery Research Portal (University of Dundee) · 2004

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GENUS

Kesseler, Rob · University of the Arts London Research Online (University of the Arts London) · 2018

The exhibition GENUS, which was opened by the Mayor of Corfu, was jointly hosted by the Municipal Art Gallery and The Department of Audio & Visual Arts of the Ionian University, Corfu on the occasion of the 12th Audiovisual Arts Festival. GENUS was an entirely new body of work inspired by my personal collection of hand coloured botanical woodcuts from 1568 by the Italian botanist Pietro Matthioli. Working from specimens collected in Corfu during 2017-18, Hellebore, Asphodel, Iris, Plantago and Wild leek, the exhibition generated a visual spectacle that moved the traditional modes of botanical art into a more contemporary dimension through a range of five techniques and media: video, micro-photography, drawing, cyanotypes, digitally engraved woodcut prints and silk hangings. \n\nUsing high resolution microscopes at the Royal Botanic Gardens, Kew, London, the specimens collected in Corfu including pollen grains, seeds and leaves were magnified thousands of times in order to create high definition black and white images. Diverging from normal scientific protocols, larger than normal size of the original specimens the final images were composites of up to 60 individual frames which were subsequently assembled to form large format high definition images. Unlike false colour applications used within conventional scientific practices, colour was introduced manually to highlight structural and functional characteristics using a multi-layer, additive/subtractive chromatic process to create images of mesmeric intensity.

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Genus

Monica Nordberg, Douglas M. Templeton, Ole Andersen et al. · IUPAC Standards Online · 2016

The objective of the “Glossary of terms used in ecotoxicology” is to give clear definitions for those who contribute to studies relevant to ecotoxicology but are not themselves ecotoxicologists. This objective applies especially to chemists who need to understand the ecotoxicological literature without recourse to a multiplicity of dictionaries. The glossary includes terms related to chemical speciation in the environment, sampling, monitoring, and environmental analysis, as well as to adverse ecological effects of chemicals, ecological biomarkers, and the environmental distribution of chemicals. The dictionary consists of about 1139 terms. The authors hope that among the groups who will find this glossary helpful, in addition to chemists, are pharmacologists, toxicologists, ecotoxicologists, risk assessors, regulators, medical practitioners, and regulatory authorities. In particular, the glossary should facilitate the use of chemistry in relation to environmental risk assessment.

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Genus

2008

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Genus

L. Popa A, P. Stefanescu A, R. Fabbri B · 1998

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Genus

Matthew Dalziel, Louise Scullion · Discovery Research Portal (University of Dundee) · 2004

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genus

2025

Citation: 'genus' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.14716 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.

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Genus

Ricardo Amils · Encyclopedia of Astrobiology · 2023

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Genus

Richard Meadow, Levent Atici · Open Context · 2006

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