15,819 research outputs found
New Upper Bounds for Mathieu-Type Series
No full textThe 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
No full textAbstractIntegral 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
Get PDFAbstractWe 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
Torn de preguntes a les intervencions de Mathieu Piavaux, Arnauld Timbert i Stéphanie D. Daussy, Renato Perinetti i Mauro Cortelazzo i Miljenko Jurkovic
No full textTorn de paralules a les intervencions de Mathieu Piavaux, Arnauld Timbert i Stéphanie D. Daussy, Renato Perinetti i Mauro Cortelazzo i Miljenko Jurkovic2792.mp4
2792.mp
Édouard Risler i Mathieu Crickboom
No full textRetrat pla sencer de Édouard Risler i Mathieu Crickboo
Gruppi semplici sporadici: i gruppi di Mathieu
No full textLa tesi tratta dei gruppi semplici sporadici, in
particolar modo dei gruppi di Mathieu. Sono state
ripercorse tappe storiche fondamentali, a partire dalla semplicità del gruppo alterno An, n>4, nota a Galois, fino a giungere al teorema di classificazione dei gruppi semplici, di cui i gruppi sporadici rappresentano un caso
particolare. Vengono poi proposte diverse costruzioni dei
gruppi di Mathieu, passando dall'algebra alla geometria fino alla teoria dell'informazione. Quindi vengono discusse le proprietà principali dei gruppi di Mathieu, e infine si presentano congetture in cui i gruppi di Mathieu, o più in generale i gruppi sporadici, giocano un ruolo
fondamentale, come ad esempio nella congettura "moonshine". Al termine della tesi vengono presentati i gruppi di Mathieu in ambiti diversi dal mondo matematico, dal gioco alla musica
Elro Mathieu
No full textThe Oklahoma A&M College World War I Veterans collection captures the memories and experiences of the men and women of Oklahoma Agricultural and Mechanical College who served in World War I. In 1919, a project headed by Maude Cass, the editor of the 1919 Redskin; Professor Maroney of the Department of History; Margaret Walters, Librarian; and J.W. Cantwell, the College President, was undertaken to survey these veterans. The surveys were returned along with photographs, letters, and newspaper clippings documenting these veterans’ experiences during World War I
Peperomia variilimba G. Mathieu 2020, sp. nov.
No full textPeperomia 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
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