2,482 research outputs found

    Pavetta trichardtensis var. jabulanii N. Hahn 2022, var. nov.

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    Pavetta trichardtensis var. jabulanii N. Hahn, var. nov. (Fig. 1–3) Type:— SOUTH AFRICA. Limpopo: Hanglip, 6 December 2019, N . Hahn 3129 (holotype ZPB!; isotypes PRE!, PRU!) Diagnosis:— Pavetta trichardtensis var. jabulanii is easily distinguished from the typical variety by its glabrous, shiny dark green leaves with sunken bacterial nodules above and glabrous calyx opposed to pubescent thinly textured leaves with bacterial nodules not prominent above and pubescent calyx (Fig. 2). In addition, var. jabulanii has on average smaller leaves (1.8–)3.5–6.8(–8.7) × (0.9–)1.7–2.9(–3.5) cm and petioles (0.3–)0.3–0.9(–1.4) cm long opposed to (2.6–)4.4–8.3(–8.9) × (1.4–)1.9–3.8(–5.3) cm and petioles (0.4–)0.6–1.2(–1.5) cm long for var. trichardtensis. Distribution:—Soutpansberg, Blouberg and possibly Houtbosch [Woodbush] (Fig. 1). The specimen, Houtbosch, Rehmann 6016 (K) cited under the description of P. zoutpansbergensis (Bremekamp 1934) was not examined. Rehmann 6016 is presently the only specimen of P. trichardtensis var. jabulanii recorded south of the Soutpansberg and Blouberg (Fig. 1). Conservation status:— Least Concern (LC). Pavetta trichardtensis var. jabulanii encompasses an EOO of approximately 8891 km 2 and an AOO at a 2 km cell width of 88 km 2 or AOO at a 5 km cell width of 525 km 2. This variant was possibly collected south of the Soutpansberg in 1875. Even though var. jabulanii EOO and AOO would fall under the Vulnerable category, the Soutpansberg and Blouberg communities seem to be quite stable and therefore do not fulfil any of the additional criteria for such listing. This variety does not qualify for any of the threatened categories and is therefore assigned a conservation status of Least Concern. Eponymy:—I have the honour of dedicating the specific epithet to Jabulani Linden, long standing friend and naturalist par excellence who has assisted and collaborated with me over many years to the conservation and natural history of the Soutpansberg. Jabulani is a fitting epitaph which has its origin from the isiZulu word meaning “rejoice” as this is a joyous occasion, finally having resolved the identity of the glabrous variant of Pavetta trichardtensis. Specimens examined:— SOUTH AFRICA. Limpopo: Budworth (2229 DD), 8 December 1956, E . Prosser 2013 (PRE); Highfield (2229 DD), 5 December 1993, N . Hahn 644 (ZPB); Hanglip (2229 DD), 6 December 2019, N. Hahn 3129 (PRE, PRU, ZPB); Tsamavhudzi (2230 CB), 12 December 1993, N . Hahn 677 (ZPB); Lamiluzi (2230 CC), 26 January 1992, N. N . Hahn 301 (ZPB); Fundudzi (2230 CD), 17 April 1975, A. E . Van Wyk 2709 (PRE); Thathe Vondo (2230 CD), 16 December 1976, G . Hemm 30 (PRE), 8 December 1977, G . Hemm 405 (PRE), 26 November 2002, N . Hahn 1939 (ZPB), 9 December 2008, N . Hahn 2360 (ZPB), 26 November 2002, B . Bremer, P. Kornhall, N. Hahn & S.P. Bester 4350 (PRE); between Dzamba and Khaku (2230 CD), 22 May 1982, A. E . Van Wyk 5661 (PRE), 1 February 1982, A. E . Van Wyk, R. M. T. Dahlgren & P.D.F. Kok 5442 (PRE); Entabeni (2230 CD) 2 May 1992, N . Hahn 347 (ZPB); Thengwe (2230 CD), 8 December 2004, D.M. McMurtry 12202 (PRE); Beauley (2329 AA), 9 December 1992, N . Hahn 443 (ZPB), 7 March 2009, N . Hahn 2440 (ZPB); Blaauwberg (2329 AA), 27 December 1923, J. C . Smuts & I. B. Pole Evans 902 (PRE); Dantzig (2329 AA), 5 December 1990, R. H . Archer 500 (PRE); Llewellyn (2329 AB), 8 January 1985, S . Venter 10468 (PRE); Bergplaats (2329 AB), 9 January 2019, N . Hahn & J. Linden 3123 (PRE, PRU, ZPB); Hanglip (2329 BB), 26 January 1931, C. E. B . Bremekamp & H. G. W. J. Schweickerdt 441 (PRE), December 1983, A. E . Van Wyk 6651 (PRE); Entabeni (2330 AA), 2 December 1956, R . Brent 99 (PRE); Goedgevonden (2330 AA), 11 February 1995, N . Hahn 1085 (ZPB); Tshakoma [Tshakuma] (2330 AB), 1 November 1931, A. A . Obermeyer 1122 (M, PRE).Published as part of Hahn, Norbert, 2022, Pavetta trichardtensis (Rubiaceae) and its varieties, pp. 216-222 in Phytotaxa 533 (4) on pages 219-221, DOI: 10.11646/phytotaxa.533.4.4, http://zenodo.org/record/609159

    FIGURE 3 in Pavetta trichardtensis (Rubiaceae) and its varieties

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    FIGURE 3.—Comparative vegetative and flowering charts between P. trichardtensis var. jabulanii and P. trichardtensis var. trichardtensis.Published as part of Hahn, Norbert, 2022, Pavetta trichardtensis (Rubiaceae) and its varieties, pp. 216-222 in Phytotaxa 533 (4) on page 220, DOI: 10.11646/phytotaxa.533.4.4, http://zenodo.org/record/609159

    FIGURE 2.—Pavetta trichardtensis var. jabulanii. A in Pavetta trichardtensis (Rubiaceae) and its varieties

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    FIGURE 2.—Pavetta trichardtensis var. jabulanii. A. Closeup of inflorescence showing characteristic glabrous ensiform calyx. B. Shiny green upper leave surface showing sunken bacterial nodules. C. Flowering branchlet. D. Underside of leaves showing hairy domatia situated in the axial of the main- and secondary veins.Published as part of Hahn, Norbert, 2022, Pavetta trichardtensis (Rubiaceae) and its varieties, pp. 216-222 in Phytotaxa 533 (4) on page 219, DOI: 10.11646/phytotaxa.533.4.4, http://zenodo.org/record/609159

    Ida von Hahn-Hahn und Isabelle Eberhardt. Ausbruch aus Restriktionen – Auf der Suche nach sich selbst

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    The following thesis compares the travelogue Orientalische Briefe by the German author Ida von Hahn-Hahn with the travel journals Mes Journaliers by the French author Isabelle Eberhardt, in the context of how each woman represents herself as a female traveler and author. The comparative study analyzes whether both authors in these texts deal with the issue of breaking out of social and cultural restrictions while traveling to the ‘Orient’. The overall question of my thesis concerns what kind of filters did they use to speak about the ‘cultural other’. The personal backgrounds of Ida von Hahn-Hahn and Isabelle Eberhardt differ in several aspects. The German author Ida von Hahn-Hahn visited the ‘Orient’ in 1843 temporarily and each place on only one occasion whereas the French author Isabelle Eberhardt constantly traveled at the end of the 19th century and at the same time she turned North Africa into her new home. These texts were analyzed in the context of gender discourse analysis, focusing on the discourse of feminity in the 19th century and the discourse of the Western world about the ‘Orient’. The comparison showed similarities and differences in the way both authors present themselves and the ‘Arab woman’ by (de-)constructing pre-existing ‘images’. In my analysis I was able to demonstrate that both authors consciously deal with the western femininity discourse of the 19th century and the Western discourse about the ‘Orient’ by selecting similar motives. Even though their results are quite different, both authors clearly use the ‘Orient’ to express their search of one’s self

    Pavetta trichardtensis var. trichardtensis var. trichardtensis

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    Pavetta trichardtensis var. trichardtensis Pavetta zoutpansbergensis Bremekamp (1933: 260). Type:— SOUTH AFRICA. Limpopo: Zoutpansberg Dist. [Soutpansberg], Fundudzi, 23 January 1931, C. E. B . Bredenkamp & H. G. W. J. Schweickerdt 349 (holotype PRE! [barcode PRE0147921 -0]; isotype PRU! [barcode PRU0002499 -0]). Pavetta hirtiflora Bremekamp (1934: 161). Type:— SOUTH AFRICA. Limpopo: Shilouvane [Shiluvane], Janvier (défleuri) [January (losing its flowers)], H. A. Junod 829 (holotype G image! [barcode G00359392]; isotypes PRE!, K image! [barcode K000412389], M image! [barcode M-0183269]). Distribution:—Soutpansberg through to the Wolkberg following the Great Escarpment (Fig. 1). Conservation status:— Least Concern (LC). Pavetta trichardtensis var. trichardtensis encompasses an EOO of approximately 8380 km 2 and an AOO at a 2 km cell width of 68 km 2 or AOO at a 5 km cell width of 375 km 2. As Boon et al. (2020) pointed out, a 5 km cell width gives a more realistic estimation of the AOO than the recommended 2 km cell width (IUCN Standards and Petitions Committee 2019) given a plant with few locality points. Taking into consideration the EOO and AOO, var. trichardtensis would fall under the Vulnerable category. Nonetheless it does not fulfil any of the additional criteria for such a listing and is therefore assigned a conservation status of Least Concern. Specimens examined:— SOUTH AFRICA. Limpopo: Bosley (2229 DD), 15 March 1985, P. & G . Raal 349 (PRE); Fundudzi (2230 CD), 23 January 1931, C. E. B . Bremekamp & H. G. W. J. Schweickerdt 349 (PRE); Pepidi Falls (2230 CD), 23 December 1935, J. C . Smuts & M. C. Gillett 3205 (PRE); Thathe Vondo (2230 CD), 4 February 1977, G . Hemm 68 (PRE); Tshamanyatsha (2230 CD), 2 December 1980, A. E . Van Wyk 4277 (PRE); Dzamba (2230 CD), 27 November 1993, N . Hahn 625 (ZPB); Khongorori (2230 CD), 12 December 1993, N . Hahn 672 (ZPB); Louis Trichardt (2329 BB), 1 February 1919, H. G . Breijer TVL 19528 (PRE); Hanglip (2329 BB), December 1980, A. E . Van Wyk 4264 (PRE); Hanglip (2329 BB), December 1983, A. E . Van Wyk 6647 (PRE); Rossbach (2330 AA), December 1930, A. A . Obermeyer TVL 29068 (PRE); Westfalia (2330 CA), 11 February 1956, J .D.M. Keet 1743 (PRE), 22 December 1958, J. C . Scheepers 539 (PRE), February 1960, J. C . Scheepers & Haasbroek sn. (PRE), February 1960, J. C . Scheepers & Haasbroek s.n. (PRE), 9 December 1980, A. E . Van Wyk 4305 (PRE); Legat forest reserve (2330 CB), December 1940, H . Reynolds 9402 (PRE); Woodbush (2330 CC), 1 December 1930, J. J . Meyer 2516 (PRE); Cyprus Forest (2430 AA), 12 January 1961, A. T . Renny 146 (PRE); Cyprus Forest (2430 AA), 12 January 1961, A. T . Renny 199 (PRE); Lekgalameetse (2430 AA), 9 December 1985, M . Stalmans 823 (PRE); Sikorora (2430 AB), 1 December 1922, G . Van Dam 22937 (PRE); Shilouvane (2430 AB), 1 January 1933, H. A . Junod 829 (PRE).Published as part of Hahn, Norbert, 2022, Pavetta trichardtensis (Rubiaceae) and its varieties, pp. 216-222 in Phytotaxa 533 (4) on pages 217-218, DOI: 10.11646/phytotaxa.533.4.4, http://zenodo.org/record/609159

    Pavetta trichardtensis Bremekamp 1929

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    Pavetta trichardtensis Bremekamp (1929: 202). Type:— SOUTH AFRICA. Limpopo: Louis Trichardt, February 1919, H. G. Breijer TRV 19528 (lectotype PRE! [barcode PRE0149529 -0] designated by Bremekamp (1934: 163)). Multi-stemmed shrub or small tree, up to 2.5 m tall. Bark smooth, grey. Leaves opposite; petioles (0.2–)0.4–1(–1.5) cm long; blades elliptic or oblong, (1.8–)3.9–7.6(–8.9) × (0.9)1.8–3.4(5.3) cm, apex obtuse to acute, occasionally shortly apiculate, base acute to cuneate; secondary veins 4–8 on each side of midrib; bacterial nodules randomly scattered on the leaf lamina; domatia hairy, situated in the axils of secondary veins. Inflorescence of terminal cymes born on slender lateral branches; pedicel up to 6 mm long. Flowers 4-merous. Hypanthium 1.2–2.4 mm long. Calyx lobes ensiform, (2.2) 2.9–5.4 (8.4) mm long. Corolla white; tube (6.3–)9.4–13.5(–15.4) mm long; lobes (4.0–)5.2–7.4(–8.7) mm long, apex obtuse to acute. Stamens exerted; anthers 3.5–7.0 mm long. Style up to 35 mm long. Berry spherical, up to 9 mm in diam., fleshy, black; crowned by the persistent calyx lobes. Phenology:—Flowering from November to January. Fruit ripen from February to May. Habitat:—This variety has been observed growing in mountain vegetation, on forest margins, woodland, rocky outcrops and grassland. Pavetta trichardtensis grows in sandy or loamy soil, at elevations of 780–1700 m. Etymology:—Named after the town of Louis Trichardt situated on the southern foot of the Soutpansberg, South Africa. Key to varieties 1. Leaf blades pubescent, matte and light green above, with flat bacterial nodules flat; calyx pubescent................. var. trichardtensis - Leaf blades glabrous, shiny and dark green above, with sunken bacterial nodules; calyx glabrous.............................. var. jabulaniiPublished as part of Hahn, Norbert, 2022, Pavetta trichardtensis (Rubiaceae) and its varieties, pp. 216-222 in Phytotaxa 533 (4) on page 217, DOI: 10.11646/phytotaxa.533.4.4, http://zenodo.org/record/609159

    Characterization of the Dᵂ-Laguerre-Hahn functionals

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    29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn functionals to the Dᵂ-Laguerre-Hahn functionals, recovering the classic results when ᵂ tends to zero. Moreover, we show that some transformations carried out on the Dᵂ-Laguerre-Hahn linear functionals lead to new Dᵂ-Laguerre-Hahn linear functionals. Finally, we analyze the class of the resulting functionals and we give some applications relative to the first associated Charlier, Meixner, Krawtchouk and Hahn orthogonal polynomials.The work of the second author (FM) was supported by Ministerio de Ciencia y Tecnología (Dirección General de Investigación) of Spain under grant BFM 2000-0206-C04-01 and the INTAS project INTAS 2000-272.Publicad

    Asymptotic iteration method for solving Hahn difference equations

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    Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM). The technique is applied to solve the second-order linear Hahn difference equations. The necessary and sufficient conditions for polynomial solutions are derived and examined for the (q;w)-hypergeometric equation.Natural Sciences and Engineering Research Council of CanadaCanadian Network for Research and Innovation in Machining Technolog

    The Approximate Jordan-Hahn Decomposition

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    Non-commutative measure theory embraces measure theory on cr-fields of subsets of a set, on projection lattices of von Neumann algebras or JBW-algebras and on hypergraphs alike [20], [27], [33], [37], [39], [40], [41]. Due to the unifying structure of an orthoalgebra concepts can easily be transferred from one branch to the other. Additional conceptual inpetus is obtained from the logico-probabilistic foundations of quantum mechanics (see [6], [19], [21]).In the late seventies the author studied the Jordan-Hahn decomposition of measures on orthomodular posets and certain graphs. These investigations revealed an interesting geometrical aspect of this decomposition in that the Jordan-Hahn property of the convex set of probability charges on a finite orthomodular poset can be characterized in terms of the extreme points of the unit ball of the Banach space dual of the base normed space of Jordan charges.</jats:p
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