217,145 research outputs found

    k-ended O(m)×O(n) invariant solutions to the Allen-Cahn equation with infinite Morse index

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    In this work we study existence, asymptotic behaviour and stability properties of O(m) x O(n)-invariant solutions of the Allen-Cahn equation Delta u + u(1 - u(2)) = 0 in R-m x R-n with m, n >= 2 and m + n >= 8. We exhibit four families of solutions whose nodal sets are smooth logarithmic corrections of the Lawson cone and with infinite Morse index. This work complements the study started in [23] by Pacard and Wei and [1] by Agudelo, Kowalczyk and Rizzi

    The everyday perspective: an approach to socio-spatial segregation in the Comuna 13 neighborhoods of the city of Medellin Since it's intervention and visibility (2004-2019)

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    ilustraciones, diagramas, mapasLa comprensión de los procesos socioespaciales de los territorios requiere más que un acercamiento técnico – espacial, así como una escala de análisis más cercana a lo cotidiano, que es donde se vive lo que sucede en los barrios. Por lo tanto, para comprender la implicación que ha tenido el accionar del Estado en un territorio complejo y fascinante, como lo es la comuna 13 en la ciudad de Medellín, se requirió además de identificar las características del territorio, su historia y su constante transformación, brindar una perspectiva desde lo que se habita como una versión alterna al discurso institucional. Así mismo, con apoyo de revisión cartográfica, recorridos en campo y la consolidación de relatos y datos brindados por los habitantes, se identificará cómo evolucionan procesos implícitos del territorio, como la Segregación socioespacial, cuando se implanta el modelo deseado en la ciudad informal. Es así, que se comprendió el impacto que se ha dado a escala de barrio de la profundización y disminución de procesos de segregación socioespacial luego del accionar del Estado y como esto se refleja desde la perspectiva de lo cotidiano. (Texto tomado de la fuente)Understanding the socio-spatial processes of territories requires more than a technical-spatial approach, as well as a scale of analysis closer to daily life, which is where what happens in the neighborhoods is experienced. In order to understand the implications that actions of the State have had in a complex and fascinating territory, such as the Comuna 13 in the city of Medellín, it is necessary to identify the characteristics of the territory, its history, and its constant transformation, as well as to provide a perspective from what is inhabited as an alternate version of the institutional discourse. The evolution of implicit territorial processes, such as socio-spatial segregation when a desired urban model is implemented in the informal city, will be identified with the support of cartographic review, fieldwork and the consolidation of stories and data provided by the inhabitants. Therefore, it was understood how the actions of the State have influenced the growth and reduction of socio-spatial segregation processes, and how this is reflected on the perspective of everyday life.MaestríaMagister en Estudios Urbano - RegionalesUrbanización y ordenamiento del territorioÁrea Curricular de Arquitectura y Urbanism

    America spinosa Botero & Santos-Silva 2020

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    <p> <b> <i>America spinosa</i> Botero & Santos-Silva, 2020 (Fig. 2 D-F)</b> </p> <p> <i>America spinosa</i> Botero & Santos-Silva, 2020a: 148; Monné, 2023: 231.</p> <p> <b>Holotype:</b> ♂ " HOLOTYPE / <i>America spinosa</i> / Botero & Santos-Silva, 2020 // ECUADOR: NAPO Res. Ethnica / Waorani, 1 km S.Onkone Gare / Camp,Trans.Ent. 6 Oct. 1994 / 220 m 00°39′10″S 076°26′W / T. L. Erwin <i>et al.</i> // Insecticidal fogging of mostly bare / green leaves, some with covering / of lichenous or bryophytic plants in / terre firme forest At Trans 10, / Sta. 8 Project MAXUS Lot 887 // MZSP 60548 ″.</p> <p> <b>Paratypes (4):</b> ♀ " PARATYPE / <i>America spinosa</i> / Botero & Santos-Silva, 2020 // ECUADOR: NAPO Res. Ethnica / Waorani, 1 km S.Onkone Gare / Camp,Trans.Ent. 2 Oct. 1996 / 220 m 00°39′10″S 076°26′W / T.L. Erwin <i>et al.</i> collectors // Insecticidal fogging of mostly bare / green leaves, some with covering / of lichenous or bryophytic plants in / terre firme forest At Trans 6, / Sta. 9 Project MAXUS Lot 1719 // MZSP 60549″. ♂ " PARATYPE / <i>America spinosa</i> / Botero & Santos-Silva, 2020 // ECUADOR: NAPO Res. Ethnica / Waorani, 1 km S. Onkone Gare / Camp, Trans. Ent. 10 Feb. 1996 / 220 m 00°39′10″S 076°26′W / T.L. Erwin <i>et al.</i> // Insecticidal fogging of mostly bare / green leaves, some with covering / of lichenous or bryophytic plants in / terre firme forest At Trans 10, / Sta. 10 Project MAXUS Lot 1500 // MZSP 60550″. ♀ " PARATYPE / <i>America spinosa</i> / Botero & Santos-Silva, 2020 // ECUADOR: NAPO Res. Ethnica / Waorani, 1 km S. Onkone Gare / Camp, Trans. Ent. 7 Oct. 1994 / 220 m 00°39′10″S 076°26′W / T.L. Erwin <i>et al.</i> // Insecticidal fogging of mostly bare / green leaves, some with covering / of lichenous or bryophytic plants in / terre firme forest At Trans 8, / Sta. 10 Project MAXUS Lot 909 // MZSP 60551″. ♂ " PARATYPE / <i>America spinosa</i> / Botero & Santos-Silva, 2020 // ECUADOR: NAPO Res. Ethnica / Waorani, 1 km S. Onkone Gare / Camp, Trans. Ent. 6 Oct. 1994 / 220 m 00°39′10″S 076°26′W / T.L. Erwin <i>et al.</i> // Insecticidal fogging of mostly bare / green leaves, some with covering / of lichenous or bryophytic plants in / terre firme forest At Trans 9, / Sta. 10 Project MAXUS Lot 879 // MZSP 60552″.</p>Published as part of <i>Botero, Juan Pablo, Casari, Sônia A. & Santos-Silva, Antonio, 2024, An illustrated catalog of Disteniidae (Coleoptera: Chrysomeloidea) type specimens deposited at the Museu de Zoologia da Universidade de São Paulo, pp. 1-38 in Papéis Avulsos de Zoologia 64</i> on page 2, DOI: 10.11606/1807-0205/2024.64.012, <a href="http://zenodo.org/record/10942964">http://zenodo.org/record/10942964</a&gt

    Plan de empresa Ring By M. Agudelo

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    La moda para muchos es concebida como una forma de diseño y de acuerdo con su representación y tono permite que sobre salga la autoexpresión, visión, personalidad y pragmatismo. Dicho de otro modo, la moda está presente en la intimidad de cada ser humano desde una posición universal y personal, donde tiene la capacidad no solo de resaltar el conjunto de atributos que tiene cada individuo, sino que también contiene la fuerza para magnificar aquellas particularidades y emociones más crudas. Al igual que otras formas de diseño, la moda se mueve en un espectro que va desde la postura postindustrial a la especialidad única y artesanal

    Doubling construction for O(m)×O(n) invariant solutions to the Allen–Cahn equation

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    We construct new families of two-ended O(m) x O(n)-invariant solutions to the Allen-Cahn equation Delta u + u - u(3)=0 in RN+1, with N >= 7, whose zero level sets diverge logarithmically from the Lawson cone at infinity. The construction is based on a careful study of the Jacobi-To da system on a given O(m) x O(n)-invariant manifold, which is asymptotic to the Lawson cone at infinity

    The Jacobi operator of some special minimal hypersurfaces

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    In this work we discuss stability and nondegeneracy properties of some special families of minimal hypersurfaces embedded in RmxRn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\mathbb {R}<^>m\times \mathbb {R}<^>n\end{document} with m,n &gt;= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}m,n2m,n\ge 2\end{document}. These hypersurfaces are asymptotic at infinity to a fixed Lawson cone Cm,n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}Cm,nC_{m,n}\end{document}. In the case m+n &gt;= 8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}m+n8m+n\ge 8\end{document}, we show that such hypersurfaces are strictly stable and we provide a full classification of their bounded Jacobi fields, which in turn allows us to prove the non-degeneracy of such surfaces. In the case m+n &lt;= 7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}m+n7m+n\le 7\end{document}, we prove that such hypersurfaces have infinite Morse index

    Fotografía UDBC036097

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    Fotografía del ejemplar Agudelo, M. 2, determinado como Polylepis quadrijuga en el año 201

    Ananteris arcadioi Botero-Trujillo 2008

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    Ananteris arcadioi Botero-Trujillo, 2008 Figures 1–5, 32, 40, 48, 60; Tables 1, 2 Ananteris arcadioi Botero-Trujillo, 2008a: 287, 288–292, 293, 295, 297, figs. 1–11, tables 1–2; Botero-Trujillo 2009: 93, fig. 1; Botero-Trujillo & Noriega, 2011: 38, 40, 44, figs. 7–10. Type material. Holotype male: COLOMBIA: Meta Department: Puerto Gaitán, Altamira, Club Los Llaneros, 04°19’N 72°05’W, 140 m asl, into forest, direct collection, at night, 19 October 2006, I. Gélvez (MPUJ-SCO-356) (examined). Further material examined. COLOMBIA: Meta Department: 3 adult males, 1 adult female, 1 subadult female, Puerto López, Remolinos, Cafam Llanos, 04°16’28’’N 72°32’19’’W, 183 m asl, UV light, 03–05 September 2008, J. A. Ochoa & R. Botero-Trujillo (MPUJ-SCO-383). 2 adult males, 2 adult females, Puerto López, Remolinos, Cafam Llanos, 04°16’28’’N 72°32’19’’W, 183 m asl, UV light, 03–05 September 2008, J. A. Ochoa & R. Botero-Trujillo (ICN-As-773). 6 adult males, 2 adult females, between Villavicencio and Restrepo, Farm Con Esto Tengo, 04°11’51’’N 73°35’37’’W, 407 m asl, UV light, 07 September 2008, R. Botero-Trujillo & J. A. Ochoa (MPUJ-SCO-384). 7 adult males, 1 adult female, 1 juvenile female, between Villavicencio and Restrepo, Farm Con Esto Tengo, 04°11’51’’N 73°35’37’’W, 407 m asl, UV light, 07 September 2008, R. Botero-Trujillo & J. A. Ochoa (ICN-As-774). 1 adult male, Serranía de La Macarena, 05 March 1992 (ICN-As-641). 1 adult male, 2 adult females, San Martín, Rey Zamuro Natural Reserve, 03°31’57.46’’N 73°30’52.35’’W, 317 m asl, UV light, March 2010, J. A. Noriega (MPUJ-SCO-398). Revised diagnosis. Carapace with well-developed anteromedian projection (Fig. 32); metasomal carinal formula 10:10:10:6:5, with ventrosubmedian and median lateral carinae absent on segment IV; median lateral carinae on metasomal segment III only weakly developed, evident in females but vestigial in males, especially posteriorly; V 1 and V 2 trichobothria unaligned axially, with V 2 located on an external position in relation to V 1 (Fig. 40); fixed finger trichobothria in the order eb: esb: est / db: et: dt, with est located beside db or nearly so (Fig. 48); dorsal surface of chelicerae with incomplete reticular pattern (Fig. 32); pectines with 17–21 teeth on males (mode = 18), 16–18 on females (mode = 18); sternite VII with paramedian longitudinal carinae vestigial and incomplete; pedipalp hand base color yellow most usually with conspicuous brown areas ventrally, internally and externally (brown may be absent on the external surface), but infrequently completely yellow; coxosternal region entirely yellow and spotless. Hemispermatophore: capsular region with median, external and internal lobes; flagellum with long and strongly coiled pars reflexa (Fig. 60). Male. Holotype described by Botero-Trujillo (2008a) (Figs. 2–3). Hemispermatophore: Description based on specimens from MPUJ-SCO-383 and ICN-As-774: Flagelliform, thin and poorly sclerotized. Foot narrow and flat. Pedal flexure inconspicuous but movable. Body very long, wider on basal third. Capsular region with median, external and internal lobes, subequal and strong. Flagellum long, with short pars recta and long, coiled pars reflexa (Fig. 60). Carapace length to hemispermatophore body length ratio = 1:1.08 to 1:1.04. There was no variation between the four hemispermatophores examined. Female. Description based on adult female from MPUJ-SCO-383. Measurements: see Table 2. Coloration: general coloration yellowish with variegated pigmentation over almost the entire body and appendages (Figs. 4–5). Carapace predominantly brown with some yellow spots and stripes; anterior and posterior margins brown; arising posteriorly to each lateral ocular tubercle there is a thin and almost straight yellow stripe that ends behind the median ocular tubercle; median ocular tubercle black, surrounded on its base by thin yellow lines on anterior, anterolateral and posterolateral margins. Chelicerae with coxa predominantly yellow with abundant pale-brown mottling; hand with incomplete reticular pattern but abundant reticulations on dorsal surface (Fig. 32); fixed finger yellow with reddish teeth, movable finger with a basal brown area and reddish teeth. Coxosternal region, genital operculum, pectinal basal piece, pectines and sternite III entirely yellow and spotless; sternites IV– VI predominantly yellow, with some minute and inconspicuous brownish spots paramedially; sternite VII with large darkbrown lateral areas; sternite V with a small flattened posterior median hyaline area. Tergites predominantly brown; twο ¹οngitudina¹ ye¹¹οw StripeS crοSSing tergiteS I— VI are οn¹y evident οn the pοSteriοr ha¹f οf each Segment beSide the midline; each side of tergites I– VI with two transverse yellow lines converging near the longitudinal lines, arrow-like; tergite VII with variegated pigmentation; lateral margins of tergites I–VII yellow, with an anterior small brown area. Metasoma predominantly yellowish; dorsal intercarinal spaces of segments I–IV with a median brown design wider anteriorly, triangle-like on segments I–III but arrow-like on segment IV; segments I– V with variegated pigmentation on all surfaces; segment V reddish with brownish areas. Telson vesicle yellowish-red with brown areas ventrally and laterally; subaculear tubercle yellowish. Pedipalp femur and patella predominantly brown dorsally and externally, with conspicuous yellow areas; primarily yellow ventrally and externally with abundant brown areas; both segments with trichobothrial pits yellow. Pedipalp coxa and trochanter yellow with large brown regions dorsally; hand with base color yellow and conspicuous brown areas ventrally, internally and externally; fingers entirely brown. Legs with variegated pigmentation. Carapace: densely covered with rounded granules especially on the brown areas; lateral margins converging anteriorly; anterior margin with well-developed median projection (Fig. 32); ocular carinae moderately strong and granulose, others inconspicuous; with a median depression anterior to the ocular tubercle; postocular furrow evident; median ocular tubercle low, located on the posterior half of the anterior third of carapace; lateral ocular tubercles each with three evident ocelli. Chelicerae: with abundant fine white setae on the internal and ventral surfaces; cheliceral dentition characteristic of the family Buthidae (Vachon 1963). Movable finger dorsally with two small basal teeth, one median pronounced, one subdistal slightly shorter than the median, and one distal tooth. Ventrally with three strong teeth, one basal, one median, and one distal tooth larger than its dorsal counterpart. Fixed finger dorsally with one basal and one median tooth forming a bicuspid, one subdistal, and one distal tooth. Ventrally with only one subdistal tooth slightly basal to the dorsal subdistal. Coxosternal region: sternum subtriangular, with deep median depression and two anterolateral furrows; all the components of this region smooth, with few setae; coxapophyses I–II densely setose anteriorly. Genital operculum and pectines: genital operculum completely divided longitudinally; pectinal basal piece as long as wide, pentagonal and deeply notched anteriorly; pectines small, not reaching posterior end of coxae IV; count of pieces on the pectines: marginal lamellae 3:3, middle lamellae 8:10, teeth 17:18, fulcra absent. Sternites: with abundant setae; III– VI smooth, except for some granulations on the lateral margins of V – VI; VII with vestigial and incomplete paramedian longitudinal carinae and some granules on the brown regions, lateral carinae completely absent; V with a small flattened posterior median smooth area; spiracles oval elongated, approximately twice longer than wide. Tergites: with similar granulation to that of carapace; axial carina only evident on the posterior half of tergites II– VI; obsolete dorsolateral carinae present on tergites II– VI; tergite VII tetracarinate, with incomplete paired dorsolateral and lateral carinae, and low granulose median elevation on the position of the axial carina. Metasoma: with abundant setae; segments I–III with ten carinae (paired ventrosubmedian, ventrolateral, median lateral, dorsolateral and dorsosubmedian carinae); segment IV with six (ventrosubmedian and median lateral carinae absent); segment V with five (ventromedian, paired ventrolateral and dorsolateral carinae); ventrolateral and median lateral carinae converge distally in segments I–II; all carinae serrulate; intercarinal spaces with abundant granulation. Telson: vesicle elongated, smooth dorsally, with three ventral longitudinal carinae made up of conspicuous granulation; subaculear tubercle strong and spine-like; aculeus long and curved. Pedipalps: femur with five vestigial longitudinal carinae (dorsoexternal, dorsointernal, ventroexternal, ventrointernal and internal median carinae); patella without distinct carinae but with few small granules on the position of the dorsointernal and ventrointernal carinae; chela acarinate; fixed finger with six almost linear rows of granules, being the basal the longest; movable finger with seven rows (including the short apical row). Trichobothriotaxy type A, femur with β configuration (Vachon 1974, 1975). Legs: tibia, basitarsus and telotarsus with numerous ventral setae; tibial spur present on legs III–IV; prolateral pedal spur single on legs I–II, bifid on legs III–IV; retrolateral pedal spur present on all legs. Variability. Fixed finger trichobothria (n = 62): 37 (59.7%) fingers with trichobothria in the order eb: esb: est / db: et: dt; 17 (27.4%) in the order eb: esb: est: db: et: dt, with est very slightly basal to db; seven (11.3%) in the order eb: esb: db: est: et: dt, with db very slightly basal to est; one (1.6%) lacking est (anomalous condition). Cheliceral reticulation (n = 62): incomplete reticular pattern present on all chelicerae studied, but slightly less reticulated in the holotype (3.2%), probably due to normal interpopulational variability. Pectinal teeth count: 16 to 18 on females (n = 20; mode = 18); 17 to 21 on males (n = 42; mode = 18). Coloration of the pedipalp hand (n = 62): 50 (80.6%) hands with brown areas ventrally, internally and externally; ten (16.1%) completely yellow; two (3.2%) with brown areas ventrally and internally. Total body length (including telson): male 21–26 mm, female 27–33 mm. Anomalies. See ‘Fixed finger trichobothria’ in the ‘variability’ section above. Distribution. So far known from five localities in Meta Department (Fig. 1). Probably widely distributed within this department’s limits and a typical element of open savanna-like formations. New locality records: COLOMBIA: Meta Department: i) Puerto López; ii) Villavicencio–Restrepo; iii) Serranía de La Macarena; iv) San Martín. Ecological notes. All specimens of A. arcadioi from ‘Cafam Llanos’ and ‘Con Esto Tengo’ were hand-captured at night, after detection with UV light when actively moving. In the former locality, most specimens were found in leaf litter or sandy walls of small streams inside gallery forests, whereas few were collected in borders of forests surrounded by extensive grasslands. In the latter locality, some specimens were found on the walls of a stream or the leaf litter close to it, but most were found on the border of a road in an area strongly influenced by human activities. Even though A. arcadioi was easily encountered in both places, it was noticeably less abundant than Tityus bastosi Lourenço, 1984 in ‘Cafam Llanos’ and Tityus nematochirus Mello-Leitão, 1940 in ‘Con Esto Tengo’, species with which it was found in sympatry. However, Ananteris specimens were very scarce in the places where Tityus Koch, 1836 was abundant.Published as part of Botero-Trujillo, Ricardo & Flórez, Eduardo, 2011, A revisionary approach of Colombian Ananteris (Scorpiones, Buthidae): two new species, a new synonymy, and notes on the value of trichobothria and hemispermatophore for the taxonomy of the group, pp. 1-44 in Zootaxa 2904 (1) on pages 4-9, DOI: 10.11646/zootaxa.2904.1.1, http://zenodo.org/record/528477

    Reminiscencias de Botero y Boccalini en El Criticón

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    Romera-Navarro M. Reminiscencias de Botero y Boccalini en El Criticón. In: Bulletin Hispanique, tome 36, n°2, 1934. pp. 149-158

    The catholic, apostolic, roman, Mr. Dr. Manuel M. Zaldua

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    La imagen contiene una noticia sobre un conflicto legal y financiero que involucra al Dr. Manuel María Zaldúa y José Agudelo. Agudelo se defiende de acusaciones relacionadas con deudas, redenciones y acciones impropias con las autoridades eclesiásticas y los acreedores. El debate refleja la tensión entre normas personales y sociales sobre la deuda, la influencia de la iglesia y la responsabilidad financiera de la época. Noticia publicada en El Constitucional en 1860.The image contains a news report about a legal and financial dispute involving Dr. Manuel María Zaldúa and José Agudelo. Agudelo defends himself against accusations related to debt, redemption, and improper actions toward church authorities and creditors. The debate reflects the tension between personal and social norms regarding debt, the influence of the church, and financial responsibility at the time. This article was published in El Constitucional in 1860
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