340,407 research outputs found
New Upper Bounds for Mathieu-Type Series
The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890;
its alternating variant Š(r) has been recently introduced by Pogány et al. [Some families of Mathieu a-series and
alternating Mathieu a-series, 2006]
where various bounds have been established for S, Š. In this note we obtain
new upper bounds over S(r), Š(r) with the help of Hardy–Hilbert double integral
inequality
Integral Representation of a Series Which One Includes the Mathieu A-Series
AbstractIntegral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a(n)ν−μ+1(a(n)2+r2)μ−1/2, where r>0, μ>1/2, ν+1<μ and a:0<a(1)<a(2)<⋯<a(n)↑∞, and 2F1 is the Gauß hypergeometric function. The result precizes the integral expression for the generalized Qi type Mathieu a-series S(r,p,a)=∑n=0∞a(n)(a(n)2+r2)−p−1 given in [J. Inequal. Pure Appl. Math. 4 (2003), (4.5)] generalizing some other results by Cerone and Lenard, Tomovski and Qi as well. Bounding inequalities are given for S(r,μ,ν,a) using the derived integral expression
Torsion units in integral group ring of the Mathieu simple group M22
AbstractWe investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.</jats:p
ISCB Honors Michael S. Waterman and Mathieu Blanchette - Mathieu Blanchette
ISCB Honors Michael S. Waterman and Mathieu Blanchette - Mathieu Blanchett
Almanach pour l'an de nostre Seigneur ... avec les guetides de Bruxelles et d'Anvers, pour aller et venir, supputé par Mr Mathieu Lansbert, mathématicien
Variante(s) de titre : Véritable almanach de Mtre. Mathieu Laensbergh, mathématicienVariante(s) de titre : Almanach de LaensberghVariante(s) de titre : LaensberghVariante(s) de titre : Calendrier pour l'an ... de la République française ... Suivi de l'Almanach de Maître M. Laensbergh, pour ...Variante(s) de titre : Almanach pour l'an de nostre Seigneur ... supputé par Maître Mathieu Lansbergh, mathématicienVariante(s) de titre : Almanach pour cette année ... supputé par Maître Mathieu Laensbergh, mathématicienVariante(s) de titre : Almanach supputé sur le méridien de Liège, d'après Maître Mathieu Laensberg, mathématicien, pour l'année ...Variante(s) de titre : Almanach supputé sur le méridien de Liège, par Maître Mathieu Laensberg, mathématicien, pour l'année ...Etat de collection : 1824 ; 185
Face aux impératifs de sécurité et de profit : reste-t-il des droits et libertés aux supporters ?
Les actes du présent colloque s’inscrivent dans le cadre de l’atelier « Droit(s) du football » du Collectif L’Unité du Droit. Ils s’inscrivent aussi dans le prolongement des deux premières éditions, à l’Université du Maine, des « 24 heures du Droit » dont ils constituent la troisième matérialisation.\ud
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L’ouvrage est placé sous la direction scientifique des professeurs Mathieu Touzeil-Divina et Mathieu Maisonneuve, respectivement professeurs de droit public aux Universités du Maine et de la Réunion et sa sortie coïncide, sans hasard, avec la 20e édition de la Coupe du monde de football (Brésil, juin 2014). Les actes ici proposés diffèrent en outre des angles déjà analysés dans plusieurs ouvrages dédiés aux droits du sport, ce qui en justifie scientifiquement la tenue. Spécialement relatifs au(x) droit(s) du football, ils n’ont pas la généralité de l’excellent manuel de Droit du sport (de l’équipe Aix-Auvergne ; Lgdj ; 3e édition ; 2012) et ne sont pas des décalques de précédents colloques et ce, ni sur le fond (Droit et football ; Lgdj ; 2012) ni sur la forme (Droit et rugby ; Lextenso ; 2013). A cet égard, le projet ici porté ne s’appelle précisément pas « Droit & Football » ou « Football & Droit » mais bien « Droit(s) du football ». Il a pour objectif(s) de traduire la notion d’Unité(s) du Droit et utilise pour ce faire le plan romaniste historique : hommes, choses et actions. Pour toutes ces raisons, il vous est proposé de chausser vos crampons juridiques et de sortir les maillots de votre équipe (doctrinale ?) préférée
Des Lois de Louis ROLLAND appliquées au service public footballistique
Les actes du présent colloque s’inscrivent dans le cadre de l’atelier « Droit(s) du football » du Collectif L’Unité du Droit. Ils s’inscrivent aussi dans le prolongement des deux premières éditions, à l’Université du Maine, des « 24 heures du Droit » dont ils constituent la troisième matérialisation.\ud
L’ouvrage est placé sous la direction scientifique des professeurs Mathieu Touzeil-Divina et Mathieu Maisonneuve, respectivement professeurs de droit public aux Universités du Maine et de la Réunion et sa sortie coïncide, sans hasard, avec la 20e édition de la Coupe du monde de football (Brésil, juin 2014). Les actes ici proposés diffèrent en outre des angles déjà analysés dans plusieurs ouvrages dédiés aux droits du sport, ce qui en justifie scientifiquement la tenue. Spécialement relatifs au(x) droit(s) du football, ils n’ont pas la généralité de l’excellent manuel de Droit du sport (de l’équipe Aix-Auvergne ; Lgdj ; 3e édition ; 2012) et ne sont pas des décalques de précédents colloques et ce, ni sur le fond (Droit et football ; Lgdj ; 2012) ni sur la forme (Droit et rugby ; Lextenso ; 2013). A cet égard, le projet ici porté ne s’appelle précisément pas « Droit & Football » ou « Football & Droit » mais bien « Droit(s) du football ». Il a pour objectif(s) de traduire la notion d’Unité(s) du Droit et utilise pour ce faire le plan romaniste historique : hommes, choses et actions. Pour toutes ces raisons, il vous est proposé de chausser vos crampons juridiques et de sortir les maillots de votre équipe (doctrinale ?) préférée
Peperomia robusta G. Mathieu 2020, sp. nov.
Peperomia robusta G. Mathieu, sp. nov. (Fig. 2, 3). Holotypus: MADAGASCAR. Reg. Alaotra-Mangoro [Prov. Toamasina]: Zahamena NP, NW border, 7 km SE of Antanandavao, along trail to camp 1 (1300 m N of campsite), 17°29'41"S 48°43'59"E, 1300 m, 26.IX.2001, Mathieu 446 (BR [BR000000916063]!; iso-: B [B100001403]!, G [G00341878]!, MO-5662979!, TAN!). Peperomia robusta G. Mathieu differs by the pilose indument from P. portulacoides (Lam.) A. Dietr., an essentially glabrous species, and from P. pedunculata C. DC., of which the indument is characterized by short erect trichomes. Perennial terrestrial herb, occasionally epiphytic, up to 40(–50) cm tall. Stem simple or 1–3 branched, erect or basally decumbent, terete, up to 8 mm diam. at the base, internodes 4–8 cm, pilose, dark red. Leaves opposite or 3–4-verticilate; petiole 8–10 mm long, pilose, red; lamina coriaceous to succulent, broad obovate, sometimes elliptic, 3–7 × 2–4 cm, smallest at the base of the stem, length/width ratio ca 1.6, apex rounded, base obtuse to acute or cuneate, 3-nerved, often only central nerve distinct, slightly impressed adaxially, both sides loosely pilose (usually more dense abaxially or at the nerves) or glabrescent, rather dark dull green adaxially, pale green abaxially, margin entire, ciliate, more dense in the apical half. Inflorescence 1 terminal spadix or 2–3(–4) together; peduncle 1 –2 cm long, basally pilose; rachis 5– 10 cm long, glabrous, loosely to moderately densely flowered, floral bracts orbicular or slightly elliptic. Fruit globose, ca. 0.5 mm diam., subbasally attached, entirely covered with sticky papillae, individual papilla longer than wide, style wide conical, horseshoe shaped ridge around subapical stigma, highest adaxially, open abaxially, conical pseudopedicellate when mature. Etymology. – The specific epithet refers to the general habit of the plant. It is one of the largest Peperomia species of Madagascar. Distribution and habitat. – The new species is endemic to North-East Madagascar from the National Park of Zahamena to the Loky-Manambato Protected Area (Daraina) where it occurs in medium altitude moist evergreen forests at an elevation of 700–1400 m. Because of its distribution and the number of currently known collections it is not considered as a rare species. Conservation status. – Peperomia robusta is known from 15 locations, all but two are encompassed in the protected area network (Anjanaharibe Sud, COMATSA Nord, Corridor Ankeniheny Zahamena, Loky Manambato, Manongarivo, Marojejy, Masoala and Zahamena). With an Extent of Occurrence (EOO) of c. 59,000 km ², an Area of Occupancy (AOO) of 60 km ² and no current threats, P. robusta is assigned a status of “Least Concern” [LC] using the IUCN Red List Categories and Criteria (IUCN, 2012). Notes. – Peperomia robusta resembles P. portulacoides, which is essentially glabrous. However, varieties of the latter species with indument have been published: P. portulacoides var. pilosa Baker from the Seychelles and P. portulacoides var. hirtella Wawra from Sri Lanka. Var. pilosa shows a short, erect indument. Its synonimization with P. tomentosa (Vahl) A. Dietr. (FRIEDMANN, 2011: 78) is questionable. Peperomia tomentosa not only exhibits a villous indument but is also distinct in its (sub)sessile leaves. Var. hirtella shows much smaller leaves (1–1.5 cm long). It is only known from its type collection and probably belongs to P. heyneana Miq. Peperomia robusta has to be distinguished from P. pedunculata, known from La Réunion, which does show an indument, characterized however by short erect trichomes. Moreover, the leaves of that species are smaller, 2–4(–5) cm long, elliptic, and usually show an obtuse apex. At last, there is some resemblance in general habit with P. mantadiana G. Mathieu. That is a glabrous species showing elliptic-lanceolate leaves. Peperomia robusta is considered as belonging to Peperomia subg. Micropiper, as it is the case with P. portulacoides and P. pedunculata (FRENZKE et al., 2015). Paratypi. – MADAGASCAR. Reg. Alaotra-Mangoro [Prov. Toamasina]: Mount Ankaroka, [17 °48'S 48°32'E], 1200 –1400 m, X.1937, Humbert 17511 (P); Zahamena AP, massif de l’Andrangovalo, [17°40'S 48°45'E], 1200–1300 m, X.1937, Humbert 17755 (P); ibid. loco, entre les rivière Sahatavy et Sivora, 17 °36'34"S 48°47 '10"E, 709 m, 2.X.2001, Ratovoson 547 (MO). Reg. Analanjirofo [Prov. Toamasina]: Masoala NP, N ridge of Ambohitsitondroinan’Mahalevona, 25°26'16"S 49°57'22"E, 1190 m, 23.II.2003, Lowry 6126 (MO, P). Reg. Atsinanana [Prov. Toamasina]: Rahobevava massif, [17°59'59"S 48°46'57"E], 1250 m, 12.III.1951, Cours 4330 (P, TAN). Reg DIANA [Prov. Antsiranana]: Manongarivo, 14°02'S 48°18'E, 1050 m, 15.XI.1994, Gautier 2555 (BR, G, TAN). Reg SAVA [Prov. Antsiranana]: Marojejy massif, NE side, [14°25'S 49°43'E], 800–1200 m, 25.I.–25.II.1949, Humbert 23165 (BR, P); ibid. loco, W side, 1000–1200 m, 9.XI.–2.XII.1939, Humbert 31394 (P); vallée inférieure de l’Androranga, Mt Anjenabe, [14°17'S 49°46'E], 1100–1130 m, 3–7.XII.1950, Humbert 24161bis (P); Marojejy PA, along E trail to summit, 14°26'20"S 49°44'50"E, 1150 m, 25.X.2001, Mathieu 485 (BR, MO, P, TAN); Distr. Vohemar, forêt de Binara, Daraina, 13°16'38"S 49°35'21"E, 1012 m, 20.XI.2005, Nusbaumer 1639 (BR, G, K, MO, TEF); Distr. Andapa, forêt de Betaolana, 11 km NW of Ambodiangezoka (camp 2), 14°36'22"S 49°25'30"E, 1200 m, 22.X.1999, Rakotomalaza 2025 (G); Marojejy, 14°29'S 49°38'E, 1300–1500 m, 21–22.I.1994, Rasoavimbahoaka 17 (MO, TAN); Andranomilolo, forêt située env. 13 km à l’W d’Andranopositra, 14°19'21"S 49°17'46"E, 1380 m, 7.XI.2006, Ravelonarivo 1955 (BR, MO, P, TAN).Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 78, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
Peperomia variilimba G. Mathieu 2020, sp. nov.
Peperomia variilimba G. Mathieu, sp. nov. (Fig. 4, 5). Holotypus: MADAGASCAR. Reg. Alaotra-Mangoro [Prov. Toamasina]: Zahamena, 17°30'01"S 48°44'00"E, 1250 m, 26.IX.2001, Mathieu 447 (BR [BR000000916064, BR000000916124]!; iso-: B [B100001404]!, BM!, G [G00341879]!, K!, MO-5662978!, P [P00547548]!, TAN!). Peperomia variilimba G. Mathieu differs from P. villilimba C. DC. in the alternate leaf position. Perennial herb, epiphytic on mossy trunks. Stem slender, creeping, scandent or pendent, flowering branches apically erect, simple or moderately branched, rooting from the nodes, pilose, internodes 1 – 4 cm. Leaves alternate, exceptionally subopposite; petiole pilose, up to 11 mm long; lamina thin to succulent, orbicular, elliptic, obovate or oblanceolate, 0.9–3.0 × 0.9–1.9 cm, length-width ratio 1–2.7, pilose, usually more densely around petiole insertion, sometimes glabrescent, apex rounded or obtuse, exceptionally retuse, the very tip sometimes slightly emarginate, base rounded, obtuse or acute, margin entirely ciliate. Inflorescence a solitary (sometimes two) terminal spadix; peduncle pilose, ca 1.5 cm long, somewhat widening near the rachis; rachis 3–7 cm long, glabrous; floral bract orbicular to elliptic, centrally peltate, ovary ellipsoid. Fruit globose, ca 0.5 mm diam., partially sunken in rachis, pericarp entirely covered with sticky papillae, individual papilla as long as wide, style flat conical, stigma apical, pseudopedicellate when mature. Etymology. – The specific epithet refers to the quite variable leaves, as well in shape as in succulence and indument density. Distribution and habitat. – The new species is endemic to the medium altitude moist evergreen forests at an elevation range from 900 to 2300 m. Peperomia variilimba is known from the Tsaratanana massif in the North-East to Analamazaotra in the Centre East. It is apparently common. Conservation status. – Peperomia variilimba is known from eleven locations, all of which are encompassed in the protected area network (Analamazaotra, Anjanaharibe-Sud, COMASTA Nord, Mantadia, Torotorofotsy, Tsaratanana and Zahamena). With an Extent of Occurrence (EOO) of c. 21,000 km ², an Area of Occupancy (AOO) of 36 km ² and no current threats, P. variilimba is assigned a status of “Least Concern” [LC] using the IUCN Red List Categories and Criteria (IUCN, 2012). Notes. – In its general habit P. variilimba resembles P. villilimba. However, the latter species is characterized by an opposite leaf position. The taxonomic concept of P. villilimba has been rather confusing for almost a century due to an inaccurate description of its leaf position in the protologue. The holotype of P. villilimba (Baron 2606, P) was considered by Casimir de Candolle as exhibiting alternate leaves (CANDOLLE, 1911: 48). The specimen concerned is showing only 6 leaves, which were pressed and mounted with considerable superposition. After remounting (straightening of the 2 superposed spadices and turning the specimen so that its former back is in front now) the opposite leaf position became evident. This position is also obvious in the isotype at K, apparently never seen by Candolle. In P. villilimba there is a marked length difference between the indument of the leaf surfaces (long) and of the margin (short). That difference is lacking in P. variilimba. The general habit of P. variilimba also resembles P. rotundilimba C. DC., which shows an opposite (or 3-verticillate) leaf position. P. variilimba ] is considered as belonging to subgenus Micropiper, as it is the case with P. villilimba (FRENZKE et al., 2015). Paratypi. – MADAGASCAR. Reg. Boeny [Prov. Mahajanga]: Distr. Andapa, Anjanaharibe-Sud RS, around camp 2, 14°44'52"S 49°27'58"E, 1350 m, 18.X.2001, Mathieu 468 (BR, G, MO, P, TAN). Reg DIANA [Prov. Antsiranana]: Tsaratanana massif, trail from Mangindrano up South ridge of the Maromokotro peak, 1800–2000 m, 8.V.1974, Gentry 11579 (MO, P); ibid. loco, 2000–2300 m, XI–XII.1937, Humbert 18352 (P); mountains N of Mangindrano, Ambatohafo valley, [14°12'00"S 49°06'30"E], 1200–1400 m, 19.I.–12.II.1951, Humbert 25363 (P); Tsaratanana massif, 2000 m, I.1923, Perrier de la Bâthie 15351 (P); SAVA, Andapa, Doany, Andranomilolo, 10 km NW of Andranopositra, 14°18'34"S 49°19'05"E, 1128 m, 16.XI.2006, Rakotovao 3411 (BR [2 sheets]); ibid. loco, 13 km W of Andranopositra, 14°19'23"S 49°17'54"E, 1462 m, 10.XI.2006, Ravelonarivo 2001 (BR). Reg. Alaotra- Mangoro [Prov. Toamasina]: Zahamena PA, Andrangovalo massif, [17°40'S 48°45'E], 1200–1400 m, X.1937, Humbert & Cours 17802bis (P); Mantadia NP, PK 10, 18°49'48"S 48°25'58"E, 950 m, 17.IX.2001, Mathieu 431 (BR, TAN); Analamazaotra RS, 18°56'45"S 48°25'10"E, 900 m, 18.IX.2001, Mathieu 438 (BM, BR, MO, P, TAN); Ambatovy, 18°50'13"S 48°18'59"E, 1186 m, 5.V.2008, Rakotondrafara 737 (MO, TAN).Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on pages 78-82, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
Mathieu\'s Hypospadias Repair: Short Hospital Stay versus Day-Care
This study compared the outcome of day care and in-patient managements of patients following Mathieu\'s repair of hypospadias. This was a retrospective study of Mathieu\'s repair of hypospadias. Outcome measures were catheter and dressing related problems/complications. Sixty five patients were included in the study; 43(66.2%) were managed in-hospital for the first 48 hours (Group A), while 22(33.8%) were managed as day-care cases (Group B).Complication rate was 6(14.0%) in group A and 3(13.6%) in group B, with fistula rate of 2(4.7% and 1(4.5%), respectively. Day care Mathieu\'s repair of hypospadias does not lead to increased postoperative complications. Keywords: Mathieu\'s repair, hospital stay, day-care complicationsAfrican Journal of Paediatric Surgery Vol. 4 (2) 2007: pp. 72-7
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