13,653 research outputs found
Fig. 2. – Peperomia robusta G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 2. – Peperomia robusta G. Mathieu. A. General habit; B. Detail of node; C. Fruit (lateral view). [A, B: Mathieu 446, BR; C: Mathieu 485, BR] [Drawing: G. Mathieu]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 79, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
Fig. 1. – Peperomia irrasa G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 1. – Peperomia irrasa G. Mathieu. A. General habit; B. Detail of node; C. Detail of leaf apex. [Humbert 24638, BR, P] [Drawing: G. Mathieu]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 77, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
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
Peperomia robusta G. Mathieu 2020, sp. nov.
No full textPeperomia 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
Fig. 3. – Peperomia robusta G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 3. – Peperomia robusta G. Mathieu. A. General habit; B. Apical part of flowering stem; C. Infrutescence. [Nusbaumer 1639] [Photos: L. Nusbaumer]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 80, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
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
G. Mathieu, Les idées politiques d'Isocrate , 1925
No full textRadet Georges. G. Mathieu, Les idées politiques d'Isocrate , 1925. In: Revue des Études Anciennes. Tome 27, 1925, n°4. pp. 342-343
G. Mathieu. — Les grandes lignes de la Vendée.
No full textFénelon Paul. G. Mathieu. — Les grandes lignes de la Vendée.. In: Norois, n°28, Octobre-Décembre 1960. pp. 461-463
G. Mathieu. — Les grandes lignes de la Vendée.
No full textFénelon Paul. G. Mathieu. — Les grandes lignes de la Vendée.. In: Norois, n°28, Octobre-Décembre 1960. pp. 461-463
Gadoux (J.), Lavigne (J.), Mathieu (G.), Potié (L.). — Opération — 1000.
No full textVeyret Paul. Gadoux (J.), Lavigne (J.), Mathieu (G.), Potié (L.). — Opération — 1000. . In: Revue de géographie alpine, tome 44, n°1, 1956. p. 218
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