Enumeration of left braces with additive group C2×C2×C4×C4C_2\times C_2\times C_4\times C_4

We show that the number of isomorphism classes of left braces of order~$64$ with additive group isomorphic to $C_2\times C_2\times C_4\times C_4$ is $10\,326\,821$. This completes the classification of left braces of order~$64$, that turn out to fall into $15\,095\,601$ isomorphism classes.Comment: Ric. Mat., in press. 9 pages. arXiv admin note: substantial text overlap with arXiv:2210.1282

MMP-2 and sTNF-R1 variability in patients with essential hypertension: 1-year follow-up study

The aim of this study is to analyze MMP-2 and sTNF-R1 variability, potent predictors of cardiovascular events, in stable hypertensive patients during a 12-month followup. 234 asymptomatic patients (age 6 0 ± 1 3 , 136 male) out of 252 patients with essential hypertension were followed up. MMP-2 and sTNF-R1 were measured at baseline and after 12 months (stage I). To compare MMP-2 and sTNF-R1 levels over time interval, we used the statistical method of Bland-Altman. MMP-2 and sTNF-R1 reproducibility was good in our patients for the two intervals with a coefficient of reproducibility of 8.2% and 11.3%, respectively. The percentages of patients within 1.96 × standard deviation of the mean were 93.6% and 92.7%. An elevated coefficient of correlation was obtained for MMP-2, basal versus stage I

Tensor product representation of Kothe-Bochner spaces and their dual spaces

We provide a tensor product representation of Kothe-Bochner function spaces of vector valued integrable functions. As an application, we show that the dual space of a Kothe-Bochner function space can be understood as a space of operators satisfying a certain extension property. We apply our results in order to give an alternate representation of the dual of the Bochner spaces of p-integrable functions and to analyze some properties of the natural norms that are defined on the associated tensor products.First and third authors are supported by grant MTM201453009-P of the Ministerio de Economia y Competitividad (Spain). Second and fourth authors are supported by grant MTM2012-36740-C02-02 of the Ministerio de Economia y Competitividad (Spain).Calabuig, JM.; Jiménez Fernández, E.; Juan Blanco, MA.; Sánchez Pérez, EA. (2016). Tensor product representation of Kothe-Bochner spaces and their dual spaces. Positivity. 20(1):155-169. https://doi.org/10.1007/s11117-015-0347-3S155169201Bochner, S.: Integration von Funktionen, deren Werte die Elemente eines Vectorraumes sind. Fundamenta Mathematicae 20, 262–276 (1933)Calabuig, J.M., Delgado, O., Juan, M.A., Sánchez, E.A.: Pérez, On the Banach lattice structure of $$L^1_w$$ L w 1 of a vector measure on a $$\delta$$ δ -ring. Collect. Math. 65, 6567–85 (2014)Calabuig, J.M., Delgado, O., Sánchez Pérez, E.A.: Factorizing operators on Banach function spaces through spaces of multiplication operators. J. Math. Anal. Appl. 364(1), 88–103 (2010)Calabuig, J.M., Gregori, P., Sánchez, E.A.: Pérez, Radon-Nikodým derivatives for vector measures belonging to Köthe function spaces. J. Math. Anal. Appl. 348, 469–479 (2008)Cerdà, J., Hudzik, H., Mastyło, M.: Geometric properties of Köthe-Bochner spaces. Math. Proc. Cambridge Philos. Soc. 120(3), 521–533 (1996)Chakraborty, N.D., Basu, S.: Spaces of p-tensor integrable functions and related Banach space properties. Real Anal. Exchange 34, 87–104 (2008)Chakraborty, N.D., Basu, S.: Integration of vector-valued functions with respect to vector measures defined on $$\delta$$ δ -rings. Ill. J. Math. 55(2), 495–508 (2011)Defant, A., Floret, K.: Tensor norms and operator ideals. North-Holland, Amsterdam (1993)Delgado, O., Juan, M.A.: Representation of Banach lattices as $$L^{1}_{w}$$ L w 1 spaces of a vector measure defined on a $$\delta -$$ δ - ring. Bull. Belgian Math. Soc. 19, 239–256 (2012)Diestel, J., Uhl, J.J.: Vector measures. Am. Math. Soc, Providence (1977)Dobrakov, I.: On integration in Banach spaces, VII. Czechoslovak Math. J. 38, 434–449 (1988)García-Raffi, L.M., Jefferies, B.: An application of bilinear integration to quantum scattering. J. Math. Anal. Appl. 415, 394–421 (2014)Gregori Huerta, P.: Espacios de medidas vectoriales. Thesis, Universidad de Valencia, ISBN:8437060591 (2005)Jefferies, B., Okada, S.: Bilinear integration in tensor products. Rocky Mt. J. Math. 28, 517–545 (1998)Lewis, D.R.: On integrability and summability in vector spaces. Ill. J. Math. 16, 294–307 (1972)Lin, P.-K.: Köthe-Bochner function spaces. Birkhauser, Boston (2004)Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces II. Springer, Berlin (1979)Okada, S., Ricker, W.J., Sánchez Pérez, E.A.: Optimal Domains and integral extensions of operators acting in function spaces. Operator Theory Advances and Applications, vol. 180. Birkhäuser, Basel (2008)Pallu de La Barriére, R.: Integration of vector functions with respect to vector measures. Studia Univ. Babes-Bolyai Math. 43, 55–93 (1998)Rodríguez, J.: On integration of vector functions with respect to vector measures. Czechoslovak Math. J. 56, 805–825 (2006

Embryogenic competence of microspores is associated to their ability to form a callosic, osmoprotective subintinal layer

[EN] Microspore embryogenesis is an experimental morphogenic pathway with important applications in basic research and applied plant breeding, but its genetic, cellular, and molecular bases are poorly understood. We applied a multi-disciplinary approach using confocal and electron microscopy, detection of Ca2+, callose, and cellulose, treatments with caffeine, digitonin, and endosidin7, morphometry, qPCR, osmometry, and viability assays in order to study the dynamics of cell wall formation during embryogenesis induction in a high-response rapeseed (Brassica napus) line and two recalcitrant rapeseed and eggplant (Solanum melongena) lines. Formation of a callose-rich subintinal layer (SL) was common to microspore embryogenesis in the different genotypes. However, this process was directly related to embryogenic response, being greater in high-response genotypes. A link could be established between Ca2+ influx, abnormal callose/cellulose deposition, and the genotype-specific embryogenic competence. Callose deposition in inner walls and SLs are independent processes, regulated by different callose synthases. Viability and control of internal osmolality are also related to SL formation. In summary, we identified one of the causes of recalcitrance to embryogenesis induction: a reduced or absent protective SL. In responding genotypes, SLs are markers for changes in cell fate and serve as osmoprotective barriers to increase viability in imbalanced in vitro environments. Genotype-specific differences relate to different responses against abiotic (heat/osmotic) stresses.Thanks are due to the Electron Microscopy Service of Universitat Politecnica de Valencia, Marisol Gascon (IBMCP Microscopy Service), Dr Kim Boutilier (WUR, Wageningen) for hosting ARS at her lab, and Dr Samantha Vernhettes (INRA Versailles) for kindly providing us with S4B. This work supported by grants AGL2014-55177-R and AGL2017-88135-R to JMSS from MINECO jointly funded by FEDER.Rivas-Sendra, A.; Corral Martínez, P.; Porcel, R.; Camacho-Fernández, C.; Calabuig-Serna, A.; Seguí-Simarro, JM. (2019). Embryogenic competence of microspores is associated to their ability to form a callosic, osmoprotective subintinal layer. Journal of Experimental Botany. 70(4):1267-1281. https://doi.org/10.1093/jxb/ery458S12671281704Abramova, L. I. (2003). Russian Journal of Plant Physiology, 50(3), 324-329. doi:10.1023/a:1023866019102Adkar-Purushothama, C. R., Brosseau, C., Giguère, T., Sano, T., Moffett, P., & Perreault, J.-P. (2015). Small RNA Derived from the Virulence Modulating Region of the Potato spindle tuber viroid Silences callose synthase Genes of Tomato Plants. The Plant Cell, 27(8), 2178-2194. doi:10.1105/tpc.15.00523Cordewener, J., Bergervoet, J., & Liu, C.-M. (2000). Changes in Protein Synthesis and Phosphorylation during Microspore Embryogenesis in Brassica napus. Journal of Plant Physiology, 156(2), 156-163. doi:10.1016/s0176-1617(00)80300-4Corral-Martínez, P., García-Fortea, E., Bernard, S., Driouich, A., & Seguí-Simarro, J. M. (2016). Ultrastructural Immunolocalization of Arabinogalactan Protein, Pectin and Hemicellulose Epitopes Through Anther Development inBrassica napus. Plant and Cell Physiology, 57(10), 2161-2174. doi:10.1093/pcp/pcw133Fortes, A. M., Testillano, P. S., Del Carmen Risueño, M., & Pais, M. S. (2002). Studies on callose and cutin during the expression of competence and determination for organogenic nodule formation from internodes of Humulus lupulus var. Nugget. Physiologia Plantarum, 116(1), 113-120. doi:10.1034/j.1399-3054.2002.1160114.xFurch, A. C. U., Hafke, J. B., Schulz, A., & van Bel, A. J. E. (2007). Ca2+-mediated remote control of reversible sieve tube occlusion in Vicia faba. Journal of Experimental Botany, 58(11), 2827-2838. doi:10.1093/jxb/erm143Grewal, R. K., Lulsdorf, M., Croser, J., Ochatt, S., Vandenberg, A., & Warkentin, T. D. (2009). Doubled-haploid production in chickpea (Cicer arietinum L.): role of stress treatments. Plant Cell Reports, 28(8), 1289-1299. doi:10.1007/s00299-009-0731-1Hoekstra, S., van Bergen, S., van Brouwershaven, I. ., Schilperoort, R. ., & Wang, M. (1997). Androgenesis in Hordeum vulgare L.: Effects of mannitol, calcium and abscisic acid on anther pretreatment. Plant Science, 126(2), 211-218. doi:10.1016/s0168-9452(97)00096-4Hong, Z., Delauney, A. J., & Verma, D. P. S. (2001). A Cell Plate–Specific Callose Synthase and Its Interaction with Phragmoplastin. The Plant Cell, 13(4), 755-768. doi:10.1105/tpc.13.4.755Jacobs, A. K., Lipka, V., Burton, R. A., Panstruga, R., Strizhov, N., Schulze-Lefert, P., & Fincher, G. B. (2003). An Arabidopsis Callose Synthase, GSL5, Is Required for Wound and Papillary Callose Formation. 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Comparative effects of caffeine, its analogues and calcium deficiency on cytokinesis. Experimental Cell Research, 78(2), 399-413. doi:10.1016/0014-4827(73)90085-2Pauls, K. P., Chan, J., Woronuk, G., Schulze, D., & Brazolot, J. (2006). When microspores decide to become embryos — cellular and molecular changesThis review is one of a selection of papers published in the Special Issue on Plant Cell Biology. Canadian Journal of Botany, 84(4), 668-678. doi:10.1139/b06-064Reynolds, T. L. (1990). Interactions between calcium and auxin during pollen androgenesis in anther cultures of Solanum carolinense L. Plant Science, 72(1), 109-114. doi:10.1016/0168-9452(90)90192-qReynolds, T. L. (2000). Effects of calcium on embryogenic induction and the accumulation of abscisic acid, and an early cysteine-labeled metallothionein gene in androgenic microspores of Triticum aestivum. Plant Science, 150(2), 201-207. doi:10.1016/s0168-9452(99)00187-9Rivas-Sendra, A., Calabuig-Serna, A., & Seguí-Simarro, J. M. (2017). Dynamics of Calcium during In vitro Microspore Embryogenesis and In vivo Microspore Development in Brassica napus and Solanum melongena. Frontiers in Plant Science, 8. doi:10.3389/fpls.2017.01177Rivas-Sendra, A., Campos-Vega, M., Calabuig-Serna, A., & Seguí-Simarro, J. M. (2017). Development and characterization of an eggplant (Solanum melongena) doubled haploid population and a doubled haploid line with high androgenic response. Euphytica, 213(4). doi:10.1007/s10681-017-1879-3Rivas-Sendra, A., Corral-Martínez, P., Camacho-Fernández, C., & Seguí-Simarro, J. M. (2015). Improved regeneration of eggplant doubled haploids from microspore-derived calli through organogenesis. Plant Cell, Tissue and Organ Culture (PCTOC), 122(3), 759-765. doi:10.1007/s11240-015-0791-6Saidi, Y., Finka, A., Muriset, M., Bromberg, Z., Weiss, Y. G., Maathuis, F. J. M., & Goloubinoff, P. (2009). 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Optimization of a class of non-convex objectives on the Gaussian MIMO multiple access channel: Algorithm development and convergence analysis

In this paper we develop an algorithm for computing the optimal transmission parameters, which include the transmission covariance, the time-shares and the user-orderings that minimize a particular class of objectives defined over the capacity region of Gaussian multiple antenna multiple access channels. This class includes objectives that are twice-differentiable, non-increasing and convex in the users' rates, but not necessarily convex in the aforementioned transmission par

Resource and Mobility Management in the Network Layer of 5G Cellular Ultra-Dense Networks

© 2017 IEEE. Personal use of this material is permitted. Permissíon from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertisíng or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.[EN] The provision of very high capacity is one of the big challenges of the 5G cellular technology. This challenge will not be met using traditional approaches like increasing spectral efficiency and bandwidth, as witnessed in previous technology generations. Cell densification will play a major role thanks to its ability to increase the spatial reuse of the available resources. However, this solution is accompanied by some additional management challenges. In this article, we analyze and present the most promising solutions identified in the METIS project for the most relevant network layer challenges of cell densification: resource, interference and mobility management.This work was performed in the framework of the FP7 project ICT-317669 METIS, which is partly funded by the European Union. The authors would like to acknowledge the contributions of their colleagues in METIS, although the views expressed are those of the authors and do not necessarily represent the project.Calabuig Soler, D.; Barmpounakis, S.; Giménez Colás, S.; Kousaridas, A.; Lakshmana, TR.; Lorca, J.; Lunden, P.... (2017). Resource and Mobility Management in the Network Layer of 5G Cellular Ultra-Dense Networks. IEEE Communications Magazine. 55(6):162-169. https://doi.org/10.1109/MCOM.2017.1600293S16216955

On the smoothness of L p of a positive vector measure

The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-014-0666-7We investigate natural sufficient conditions for a space L p(m) of pintegrable functions with respect to a positive vector measure to be smooth. Under some assumptions on the representation of the dual space of such a space, we prove that this is the case for instance if the Banach space where the vector measure takes its values is smooth. We give also some examples and show some applications of our results for determining norm attaining elements for operators between two spaces L p(m1) and Lq (m2) of positive vector measures m1 and m2.Professor Agud and professor Sanchez-Perez authors gratefully acknowledge the support of the Ministerio de Economia y Competitividad (Spain), under project #MTM2012-36740-c02-02. Professor Calabuig gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Spain), under project #MTM2011-23164.Agud Albesa, L.; Calabuig Rodriguez, JM.; Sánchez Pérez, EA. (2015). On the smoothness of L p of a positive vector measure. Monatshefte für Mathematik. 178(3):329-343. https://doi.org/10.1007/s00605-014-0666-7S3293431783Beauzamy, B.: Introduction to Banach Spaces and Their Geometry. North-Holland, Amsterdam (1982)Diestel, J., Uhl, J.J.: Vector measures. In: Mathematical Surveys, vol. 15. AMS, Providence (1977)Fernández, A., Mayoral, F., Naranjo, F., Sáez, C., Sánchez-Pérez, E.A.: Spaces of p-integrable functions with respect to a vector measure. Positivity 10, 1–16 (2006)Ferrando, I., Rodríguez, J.: The weak topology on $$L^p$$ L p of a vector measure. Topol. Appl. 155(13), 1439–1444 (2008)Godefroy, G.: Boundaries of a convex set and interpolation sets. Math. Ann. 277(2), 173–184 (1987)Howard, R., Schep, A.R.: Norms of positive operators on $$L^p$$ L p -spaces. Proc. Am. Math. Soc. 109(1), 135–146 (1990)Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces II. Springer, Berlin (1977)Meyer-Nieberg, P.: Banach Latticces. Universitext, Springer-Verlag, Berlin (1991)Okada, S., Ricker, W.J., Sánchez-Pérez, E.A.: Optimal Domain and Integral Extension of Operators Acting in Function Spaces. Operator Theory: Advances and Applications, vol. 180. Birkhäuser Verlag, Basel (2008)Schep, A.: Products and factors of Banach function spaces. Positivity 14(2), 301–319 (2010

Bezoar in gastro-jejunostomy presenting with symptoms of gastric outlet obstruction: a case report and review of the literature

<p>Abstract</p> <p>Introduction</p> <p>Gastric outlet obstruction usually presents with non-bilious vomiting, colicky epigastric pain, loss of appetite and occasionally, upper gastrointestinal bleeding. Causes can be classified as benign or malignant, or as extra- or intraluminal. Gastrojejunostomy is a well-recognised surgical procedure performed to bypass gastric outlet obstruction. A bezoar occurs most commonly in patients with impaired gastrointestinal motility or with a history of gastric surgery. It is an intestinal concretion, which fails to pass along the alimentary canal.</p> <p>Case presentation</p> <p>A 62-year-old Asian woman with a history of gastrojejunostomy for peptic ulcer disease was admitted to hospital with epigastric pain, vomiting and dehydration. All investigations concluded gastric outlet obstruction secondary to a "stricture" at the site of gastrojejunostomy. Subsequent laparotomy revealed that the cause of the obstruction was a bezoar.</p> <p>Conclusion</p> <p>Many bezoars can be removed endoscopically, but some will require operative intervention. Once removed, emphasis must be placed upon prevention of recurrence. Surgeons must learn to recognise and classify bezoars in order to provide the most effective therapy.</p