The architectural patronage of the Fāṭimid queen-mother Durzān (d. 385/995): an interdisciplinary analysis of literary sources, material evidence and historical context

This paper on Fāṭimid female architectural patronage is divided into two parts. The first contains an analysis of the link between historical sources and epigraphic evidence, the second interprets such evidence in the light of the political and economic climates in which such patronage took place. The figure this paper focuses on is Durzān. She was the consort of the Fāṭimid imam-caliph al-Mu‘izz (r. 341-365/953-975) and mother of his successor, the imam-caliph al-‘Azīz (r. 365-386/975-996) and the first and most prolific of the Fāṭimid patronesses

Optimized White Reflectance in Photonic Network Structures

Three-dimensional disordered networks are receiving increasing attention as versatile architectures for highly scattering materials. However, due to their complex morphology, little is still known about the interplay between their structural and optical properties. Here, we describe a simple algorithm that allows to generate photonic network structures inspired by that of the Cyphochilus beetle, famous for the bright white reflectance of its thin cuticular scales. The model allows to vary the degree of structural anisotropy and filling fraction of the network independently, revealing the key contribution of these two parameters to the overall scattering efficiency. Rigorous numerical simulations show that the obtained structures can exceed the broadband reflectance of the beetle while using less material, providing new insights for the design of advanced scattering materials.Comment: 10 pages, 3 figures. peer reviewed version, published in final form at https://doi.org/10.1002/adom.20190004

A New Perspective on Clustered Planarity as a Combinatorial Embedding Problem

The clustered planarity problem (c-planarity) asks whether a hierarchically clustered graph admits a planar drawing such that the clusters can be nicely represented by regions. We introduce the cd-tree data structure and give a new characterization of c-planarity. It leads to efficient algorithms for c-planarity testing in the following cases. (i) Every cluster and every co-cluster (complement of a cluster) has at most two connected components. (ii) Every cluster has at most five outgoing edges. Moreover, the cd-tree reveals interesting connections between c-planarity and planarity with constraints on the order of edges around vertices. On one hand, this gives rise to a bunch of new open problems related to c-planarity, on the other hand it provides a new perspective on previous results.Comment: 17 pages, 2 figure

The GALEX Ultraviolet Virgo Cluster Survey (GUViCS). II. Constraints on star formation in ram-pressure stripped gas

Context: Several galaxies in the Virgo cluster are known to have large HI gas tails related to a recent ram-pressure stripping event. The Virgo cluster has been extensively observed at 1539 A in the far-ultraviolet for the GALEX Ultraviolet Virgo Cluster Survey (GUViCS), and in the optical for the Next Generation Virgo Survey (NGVS), allowing a study of the stellar emission potentially associated with the gas tails of 8 cluster members. On the theoretical side, models of ram-pressure stripping events have started to include the physics of star formation. Aim: We aim to provide quantitative constraints on the amount of star formation taking place in the ram-pressure stripped gas, mainly on the basis of the far-UV emission found in the GUViCS images in relation with the gas content of the tails. Methods: We have performed three comparisons of the young stars emission with the gas column density: visual, pixel-by-pixel and global. We have compared our results to other observational and theoretical studies. Results: We find that the level of star formation taking place in the gas stripped from galaxies by ram-pressure is low with respect to the available amount of gas. Star formation is lower by at least a factor 10 compared to the predictions of the Schmidt Law as determined in regular spiral galaxy disks. It is also lower than measured in dwarfs galaxies and the outer regions of spirals, and than predicted by some numerical simulations. We provide constraints on the star formation efficiency in the ram-pressure stripped gas tails, and compare these with current models.Comment: Accepted in A&A, 17 pages (including the appendix and "on-line" figures of the paper

A Variational Formulation of Symplectic Noncommutative Mechanics

The standard lore in noncommutative physics is the use of first order variational description of a dynamical system to probe the space noncommutativity and its consequences in the dynamics in phase space. As the ultimate goal is to understand the inherent space noncommutativity we propose a variational principle for noncommutative dynamical systems in configuration space, based on results of our previous work [14]. We hope that this variational formulation in configuration space can be of help to elucidate the definition of some global and dynamical properties of classical and quantum noncommutative space.Comment: 17 pages, Latex. Accepted for publication in IJGMM

Morphological characterisation of malignant histiocytosis in a cat

Malignant histiocytosis (MH) is a progressive systemic neoplastic proliferation of morphologically atypical histiocytes, well characterised in humans and dogs but only recently identified in the cat. In all species, liver, lung, lymph nodes, spleen and bone marrow are infiltrated by atypical histiocytes, and the disease is rapidly fatal. The purpose of this study was to describe the clinical, histological, immunohistochemical and ultrastructural findings of MH in a cat, together with the diagnostic work-up and a list of differential diagnoses. Clinical evaluation included a complete blood-cell count, serum biochemistry, urinalysis, serology and ultrasound examination. The cat had clinical signs of depression, thinness, dehydration, pale mucous membranes and tachycardia. Abdominal ultrasonography revealed generalised splenomegaly and hepatomegaly. Necroscopy showed whitish nodules, randomly scattered throughout the parenchyma in the spleen and liver. The periportal lymph nodes were greatly enlarged and the cut surface was uniformly greyish-white and translucent. Histological examination revealed pleomorphic proliferation of large round tumour cells, with numerous phagocytic vacuoles containing erytrocytes, leukocytes and haemosiderin. By immunohistochemistry, positivity for lysozyme and α1-antitrypsin and a scattered positivity for Mac 387 were observed. Ultrastructural features of tumour cells included cytoplasmic lipid droplets, lysosomes and phagolysosomes. MH in the cat needs to be differentiated from diffuse granulomatous disease, non-Hodgkin’s lymphoma and Hodgkin’s-like disease. The morphological features of the tumour cells, combined with immunohistochemical and ultrastructural observation, are consistent with a diagnosis of MH in the cat

The effect of the environment on the HI scaling relations

We use a volume-, magnitude-limited sample of nearby galaxies to investigate the effect of the environment on the HI scaling relations. We confirm that the HI-to-stellar mass ratio anti correlates with stellar mass, stellar mass surface density and NUV-r colour across the whole range of parameters covered by our sample (10^9 <M*<10^11 Msol, 7.5 <mu*<9.5 Msol kpc^-2, 2<NUV-r<6 mag). These scaling relations are also followed by galaxies in the Virgo cluster, although they are significantly offset towards lower gas content. Interestingly, the difference between field and cluster galaxies gradually decreases moving towards massive, bulge-dominated systems. By comparing our data with the predictions of chemo-spectrophotometric models of galaxy evolution, we show that starvation alone cannot explain the low gas content of Virgo spirals and that only ram-pressure stripping is able to reproduce our findings. Finally, motivated by previous studies, we investigate the use of a plane obtained from the relations between the HI-to-stellar mass ratio, stellar mass surface density and NUV-r colour as a proxy for the HI deficiency parameter. We show that the distance from the `HI gas fraction plane' can be used as an alternative estimate for the HI deficiency, but only if carefully calibrated on pre-defined samples of `unperturbed' systems.Comment: Accepted for publication on MNRAS main journal. 11 pages, 6 figures, 1 tabl