105,931 research outputs found

    Cidariplura maraho Wu & Owada 2013

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    Cidariplura maraho Wu & Owada, 2013 (Figs 15, 16, 33, 42, 52) Cidariplura maraho Wu & Owada, in Wu et al., 2013: 151, figs 14–16, 41, 42, 62, 73, 82. Type material. Holotype, ♂, Taiwan, Nantou County, Meifeng, 2,100 m, 29. VI. 2012, TFRI147244 S. Wu & W. C. Chang leg. (TFRI) (Fig. 15). Paratypes (9♂ 4♀): the same collecting locality as that of holotype, 1♂, 18. VII. 1990, TFRI00010165, Y. C. Chang leg.; the same locality, 3♂, 20. VII. 2011, TFRI00128724 ♂, S. Wu & W. C. Chang leg. (TFRI); Hualien, Ci’en, 1,950 m, 2♂, 28. VI. 2011, S. Wu & W. C. Chang leg.; the same locality, 1♂, 18. VII. 2011, S. Wu & W. C. Chang leg. (TFRI); Pilu-Shenmu, 2,000 m, 1♀, 16.VII. 2012, M. Owada & L. C. Shih leg. (ESRI); Nantou, Biluxi, 1♂, 12. VII. 2011, C. M. Fu leg.; Turnyuan, 1♀, 23. VI. 2007, 1,950 m, C. M. Fu leg. (NMNS); Taichung, Wuling, 1,850 m, 1♀, 10–12. VIII. 1990, M. Owada leg. (NSMT); Hualien, Tsu’en, 1,990 m, 1♂, 26. VI. 1989, M. Owada leg. (NSMT); Nantou, Hotso [Lushan Spa], 1♀, 26–29. VI. 1973, M. Owada leg. (NSMT). Additional material examined (2♂ 2♀). Hualien, Tsu’en, 2,000 m, 1♀, 13. VII. 2015, NSMT3284 ♀, M. Owada & L. Shih leg. (NSMT); Nantou, Sunlinksea, 1,700 m, 1♂, 25. VI. 2017, NSMT3283 ♂, M. Owada & L. Shih leg. (NSMT); Kaohsiung, Tianchi-2, 2,280 m, 1♂ 1♀, 6. VII. 2015, M. Owada & C.-M. Fu leg. (NSMT). Diagnosis. The species is easily distinguished from other species in C. gladiata complex due to the paler ground coloration of the wings and the more contrasting forewing medial region, the less curved transversal lines on both wings, and the medial part of the corpus bursae, which is incised with longitudinal wrinkles. Distribution and phenology. Endemic to Taiwan. The adults occur from June to August.Published as part of Wu, Shipher, Owada, Mamoru & Wang, Min, 2019, Review of Cidariplura Butler, 1879 (Lepidoptera, Erebidae, Herminiinae). Part 1: the Cidariplura gladiata species complex, pp. 489-502 in Zootaxa 4668 (4) on page 496, DOI: 10.11646/zootaxa.4668.4.3, http://zenodo.org/record/344986

    Statistical and geometric properties of tree-shifts and fractals : a dynamical perspective

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    Abstract This thesis investigates the statistical and geometric properties of various symbolic and geometric fractals. Utilizing techniques from dynamical systems, ergodic theory, and large deviation theory, it provides a comprehensive analysis of key questions concerning Markov subshifts on rooted d-trees, self-conformal and self-affine fractals, and their associated measures. The research is organized into four central themes: the thermodynamic formalism of Markov subshifts over d-trees, the recurrence properties in Bedford--McMullen carpets, the decay in the Fourier spectrum of self-similar measures, and the local statistics of conformal measures. The exploration of thermodynamic formalism for Markov subshifts over d-trees aligns with current research on statistical mechanical systems on trees, providing a large deviation description for d-tree-indexed Markov chains, characterizing pressure, entropy, and dimension in this non-Euclidean setting. Regarding recurrence in fractal systems, this work extends knowledge on recurrence in self-affine fractals by examining Bedford--McMullen carpets with coinciding Hausdorff and box-counting dimensions, providing new insights into quantitative recurrence under non-conformal dynamics. The investigation of Fourier decay in self-similar measures establishes a van der Corput lemma for one-dimensional non-atomic self-similar measures, with applications to metric theorems and absolutely pointwise normality. Finally, the study of local statistics of conformal measures expands the known class of fractal scaling measures by demonstrating that projections of ergodic measures through self-conformal iterated function systems are scaling measures, unveiling deep connections between scaling measures and ergodic theory. These results collectively contribute to a deeper understanding of the interplay between fractal geometry, probability theory, and dynamical systems, providing novel approaches to addressing problems and offering potential directions for future research. Original papers Wu, Y.-L., & Yuan, N. (2025). Quantitative recurrence problem on some Bedford-McMullen carpets. Journal of Mathematical Analysis and Applications, 543(2), 128938. https://doi.org/10.1016/j.jmaa.2024.128938 https://doi.org/10.1016/j.jmaa.2024.128938 Self-archived version Ban, J.-C., & Wu, Y.-L. (2025). On the topological pressure of axial product on trees. Stochastics and Dynamics, 25(01), 2550007. https://doi.org/10.1142/S0219493725500078 https://doi.org/10.1142/S0219493725500078 Algom, A., Chang, Y., Wu, M., & Wu, Y.-L. (2025). Van der Corput and metric theorems for geometric progressions for self-similar measures. Mathematische Annalen. https://doi.org/10.1007/s00208-025-03233-3 https://doi.org/10.1007/s00208-025-03233-3 Self-archived version Wu, M., & Wu, Y.-L. (2025). Scaling properties of invariant measures for conformal iterated function systems. Manuscript in preparation. Tiivistelmä Tämä väitöskirja tutkii erilaisten symbolisten ja geometristen fraktaalien tilastollisia ja geometrisia ominaisuuksia. Hyödyntäen tekniikoita, jotka liittyvät dynaamisiin systeemeihin, ergodiateoriaan ja suurpoikkeamateoriaan, se tarjoaa kattavan analyysin keskeisistä kysymyksistä, jotka koskevat Markovin siirtoja juurellisilla d-puilla, itse-konformeja ja itse-affiinisia fraktaaleja sekä niihin liittyviä mittoja. Tutkimus on jaettu neljään keskeiseen teemaan: Markovin siirtojen termodynaaminen formalismi d-puilla, toistuvuuden ominaisuudet Bedford--McMullen -matoissa, Fourier-spektrin heikkeneminen itse-similaareille mitoille ja konformien mittojen paikallinen tilastollinen käyttäytyminen. Markovin siirtojen termodynaamisen formalismin tutkiminen d-puilla on linjassa nykyisen tutkimuksen kanssa tilastollisista mekaanisista systeemeistä puilla, tarjoten suurpoikkeamateoreettisen kuvauksen d-puuindeksoiduille Markovin ketjuille, ja paineen, entropian ja ulottuvuuden karakterisoinnin tässä ei-Euklidisessa ympäristössä. Mitä tulee toistuvuuteen fraktaalisissa järjestelmissä, tämä työ laajentaa tietämystä itse-affiinisten fraktaalien toistuvuudesta tarkastelemalla Bedford--McMullen -mattoja, joiden Hausdorffin dimensio ja laatikkodimensio ovat samat, tuoden uusia näkökulmia kvantitatiiviseen toistuvuuteen ei-konformaalisissa dynamiikoissa. Fourierin heikkenemisen tutkiminen itse-similaareille mitoille luo van der Corput'n lemman yksiulotteisille ei-atomisille itse-similaareille mitoille, jolla on sovelluksia metrisiin teoreemiin ja absoluuttisesti pisteittäiseen normaalisuuteen. Viimeisenä, konformaalisten mittojen paikallisten tilastojen tutkiminen laajentaa tunnettua fraktaalisten skaalautuvien mittojen luokkaa osoittaen, että ergodisten mittojen projisoinnit itse-konformaalisten iteratiivisten funktiosysteemien kautta ovat skaalautuvia mittoja, paljastaen syviä yhteyksiä skaalautuvien mittojen ja ergodiateorian välillä. Nämä tulokset yhdessä tarjoavat syvemmän ymmärryksen fraktaaligeometrian, todennäköisyysteorian ja dynaamisten systeemien välisestä vuorovaikutuksesta, tarjoten uusia lähestymistapoja avoimiin ongelmiin ja mahdollisia suuntaviivoja tulevalle tutkimukselle. Osajulkaisut Wu, Y.-L., & Yuan, N. (2025). Quantitative recurrence problem on some Bedford-McMullen carpets. Journal of Mathematical Analysis and Applications, 543(2), 128938. https://doi.org/10.1016/j.jmaa.2024.128938 https://doi.org/10.1016/j.jmaa.2024.128938 Rinnakkaistallennettu versio Ban, J.-C., & Wu, Y.-L. (2025). On the topological pressure of axial product on trees. Stochastics and Dynamics, 25(01), 2550007. https://doi.org/10.1142/S0219493725500078 https://doi.org/10.1142/S0219493725500078 Algom, A., Chang, Y., Wu, M., & Wu, Y.-L. (2025). Van der Corput and metric theorems for geometric progressions for self-similar measures. Mathematische Annalen. https://doi.org/10.1007/s00208-025-03233-3 https://doi.org/10.1007/s00208-025-03233-3 Rinnakkaistallennettu versio Wu, M., & Wu, Y.-L. (2025). Scaling properties of invariant measures for conformal iterated function systems. Manuscript in preparation. Academic dissertation to be presented with the assent of the Doctoral Programme Committee of Technology and Natural Sciences of the University of Oulu for public defence in the OP auditorium (L10), Linnanmaa, on 25 October 2025, at 12 noonAbstract This thesis investigates the statistical and geometric properties of various symbolic and geometric fractals. Utilizing techniques from dynamical systems, ergodic theory, and large deviation theory, it provides a comprehensive analysis of key questions concerning Markov subshifts on rooted d-trees, self-conformal and self-affine fractals, and their associated measures. The research is organized into four central themes: the thermodynamic formalism of Markov subshifts over d-trees, the recurrence properties in Bedford--McMullen carpets, the decay in the Fourier spectrum of self-similar measures, and the local statistics of conformal measures. The exploration of thermodynamic formalism for Markov subshifts over d-trees aligns with current research on statistical mechanical systems on trees, providing a large deviation description for d-tree-indexed Markov chains, characterizing pressure, entropy, and dimension in this non-Euclidean setting. Regarding recurrence in fractal systems, this work extends knowledge on recurrence in self-affine fractals by examining Bedford--McMullen carpets with coinciding Hausdorff and box-counting dimensions, providing new insights into quantitative recurrence under non-conformal dynamics. The investigation of Fourier decay in self-similar measures establishes a van der Corput lemma for one-dimensional non-atomic self-similar measures, with applications to metric theorems and absolutely pointwise normality. Finally, the study of local statistics of conformal measures expands the known class of fractal scaling measures by demonstrating that projections of ergodic measures through self-conformal iterated function systems are scaling measures, unveiling deep connections between scaling measures and ergodic theory. These results collectively contribute to a deeper understanding of the interplay between fractal geometry, probability theory, and dynamical systems, providing novel approaches to addressing problems and offering potential directions for future research.Tiivistelmä Tämä väitöskirja tutkii erilaisten symbolisten ja geometristen fraktaalien tilastollisia ja geometrisia ominaisuuksia. Hyödyntäen tekniikoita, jotka liittyvät dynaamisiin systeemeihin, ergodiateoriaan ja suurpoikkeamateoriaan, se tarjoaa kattavan analyysin keskeisistä kysymyksistä, jotka koskevat Markovin siirtoja juurellisilla d-puilla, itse-konformeja ja itse-affiinisia fraktaaleja sekä niihin liittyviä mittoja. Tutkimus on jaettu neljään keskeiseen teemaan: Markovin siirtojen termodynaaminen formalismi d-puilla, toistuvuuden ominaisuudet Bedford--McMullen -matoissa, Fourier-spektrin heikkeneminen itse-similaareille mitoille ja konformien mittojen paikallinen tilastollinen käyttäytyminen. Markovin siirtojen termodynaamisen formalismin tutkiminen d-puilla on linjassa nykyisen tutkimuksen kanssa tilastollisista mekaanisista systeemeistä puilla, tarjoten suurpoikkeamateoreettisen kuvauksen d-puuindeksoiduille Markovin ketjuille, ja paineen, entropian ja ulottuvuuden karakterisoinnin tässä ei-Euklidisessa ympäristössä. Mitä tulee toistuvuuteen fraktaalisissa järjestelmissä, tämä työ laajentaa tietämystä itse-affiinisten fraktaalien toistuvuudesta tarkastelemalla Bedford--McMullen -mattoja, joiden Hausdorffin dimensio ja laatikkodimensio ovat samat, tuoden uusia näkökulmia kvantitatiiviseen toistuvuuteen ei-konformaalisissa dynamiikoissa. Fourierin heikkenemisen tutkiminen itse-similaareille mitoille luo van der Corput'n lemman yksiulotteisille ei-atomisille itse-similaareille mitoille, jolla on sovelluksia metrisiin teoreemiin ja absoluuttisesti pisteittäiseen normaalisuuteen. Viimeisenä, konformaalisten mittojen paikallisten tilastojen tutkiminen laajentaa tunnettua fraktaalisten skaalautuvien mittojen luokkaa osoittaen, että ergodisten mittojen projisoinnit itse-konformaalisten iteratiivisten funktiosysteemien kautta ovat skaalautuvia mittoja, paljastaen syviä yhteyksiä skaalautuvien mittojen ja ergodiateorian välillä. Nämä tulokset yhdessä tarjoavat syvemmän ymmärryksen fraktaaligeometrian, todennäköisyysteorian ja dynaamisten systeemien välisestä vuorovaikutuksesta, tarjoten uusia lähestymistapoja avoimiin ongelmiin ja mahdollisia suuntaviivoja tulevalle tutkimukselle

    Cidariplura shanmeii Wu & Owada 2013

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    Cidariplura shanmeii Wu & Owada, 2013 (Figs 17, 18, 28, 43, 53) Cidariplura gladiata ab. ochreimacula Strand, 1919: 149, aberration, unavailable infrasubspecific name. Cidariplura gladiata: Wang, 1994: 397; Wang, 2001: 12, nec Butler, 1879. Cidariplura shanmeii Wu & Owada, in Wu et al., 2013: 148, figs 3, 4, 7, 8, part. Type material. Holotype, ♂, Taiwan, Chiayi Co., Shanmei, 800 m, 8. VII. 2011, TFRI128721, S. Wu & W. C. Chang leg. (TFRI) (Fig. 17). Paratypes (8♂ 5♀): Taiwan, the same collecting locality as that of the holotype, 1♂, 5. VIII. 2011, W. C. Chang & S. Wu leg.; the same locality, 1♂, 2. XI. 2011, W. C. Chang & S. Wu leg.; Nantou, Lianhuachi, 600 m, 1♂, 21. V. 2009, C. C. Kuo leg.; the same locality, 1♂, 10. V. 2010, TFRI151527, C. C. Kuo leg.; the same locality, 3♂, 23. VII. 2009, C. C. Kuo leg.; the same locality, 1♂, 12. VII. 2010, C. C. Kuo leg.; 1♂, 10. VIII. 2010, C. C. Kuo leg.; Pingtung, Shouka, 1♀, 450 m, 27. X. 2011, Y. C. Lin leg.; the same locality, 2♀, 22. III. 2012, Y. C. Lin leg.; the same locality, 1♂, 19. VII. 2012, Y. C. Lin leg.; the same locality, 2♀, 15. VIII. 2012, Y. C. Lin leg.; Hualien, Guanfu, 1 ♂, 180 m, 9. VIII. 2010, leg. Y. C. Lin leg.; the same locality, 1♂, 13. IX. 2010, Y. C. Lin leg. (TFRI). Additional material examined. Taiwan. Ilan, Fushan Botanical Garden, 700 m, 1♂, 12, 15–16. VI. 2015, NSMT3305 ♂, M. Owada & S. Wu leg.; the same locality, 2♂ 1♀, 12. V. 2019, NSMT3474 ♂, NSMT3475 ♀, M. Owada & S. Wu leg. (NSMT); Nantou, Lienhuachih [=Lianhuachi], 700 m, 2♂, 17–18. VII. 2012, NSMT3297 ♂ (NSMT), NSMT3300 ♂ (ESRI), M. Owada & L. Shih leg., Huisun Linchang, 770 m, 2♂, 21–22. VI. 2017, NSMT3306 ♂ (NSMT), NSMT3307 ♂ (ESRI), M. Owada & L. Shih leg., Aowanda, 1,000 m, 1♂, 9. V. 2013, NSMT3281 ♂ (NSMT), M. Owada, L. Shih & Y. Chen leg. Notes. Wu et al. (2013) described C. shanmeii with the illustration of the holotype of C. shanmeii, however the illustrated structures in Wu et al. (2013: figs 37, 38, male; 64, female; 69, labial palpus; 80, male foreleg), actually belong to the new species, C. hbun sp. nov., described below. Diagnosis. Externally C. shanmeii and C. hbun are difficult to be separated, but the former species can be distinguished from the latter by the narrowed white forewing discocellular spot, rather than a wider and more yellowish-white spot; the costal process of the valva is digitiform rather than stouter and curved downwards; the distinctively shorter distal portion of valva rather than nearly equal in length as costal process; the digitiform, straight costal process rather than curved ventrally and tapering; the saccular process is extremely small and curved rather than robust and rod-like pointing parallelly with distal portion of valva; the ductus bursae is extremely narrowed compared to the moderate width of other species in the complex. Re-description. Due to the existence of specimens belonging to both C. shanmeii and C. hbun sp. nov. in the paratype series of C. shanmeii (sensu Wu & Owada, in Wu et al., 2013), we re-describe C. shanmeii herein to clarify the identity of that species. Measurements. Forewing length 12–14 mm in males (n= 17); 12–14 mm in females (n= 5). Eye round; antenna ciliate, male with a pair of long bristles on each segment, length of bristle 2 X diameter of shaft in median region. Head, all segments of thorax as well as femur, tibia and 1st tarsal segment chocolate brown. Male labial palpus (Fig. 28) modified as follows: 1st segment very long, upcurved along frons, surpassing vertex, smoothly covered with ordinary scales; 2nd segment bent at a right angle from the 1st, slender, slightly curved, 0. 5 X shorter than 1st, reaching the anterior part of thorax, internally with specialized ochreous scales which are elongated and enlarged at their apices; 3rd segment long, 3 X longer than 2nd, basal part of labial palpus as wide as medial part, internally with long ochreous scales slender and almost twice as long as those in the 2 nd segment. Labial palpus in female: 3 rd shorter than 2 nd, slender, tapering towards apex. Legs: male foretibia with apical spine. Forewing broad, slightly excurved, apex nearly forming right angle; ground coloration chocolate brown; antemedial and postmedial line slender, light ochreous, the former oblique, wave-like, the latter smoothly excurved outward at discal cell part; discocellular spot white, slender and lunate-shaped; submarginal line slender, ochreous, wave-like; outer margin ochreous; marginal scales chocolate brown. Hindwing chocolate brown; medial line ochreous with one ochreous spot situating at outside of tornal area; outer margin ochreous; marginal scales chocolate brown. Abdomen brown, 8th segment unmodified. Male genitalia (Fig. 43)—Uncus broad, stout, apex hook-like. Tegumen and vinculum long, equal in length; saccus V-shaped, medial part elongated anteriorly. Valva trifurcate, costal process, straight and digitiform, distal portion of valva broad, saccular process short, curved and digitiform. Juxta plate-like, transtilla indistinct. Aedeagus stout, straight, 1. 25 X longer than valva; vesica densly scobinate without cornutus. Female genitalia (Fig. 53)—Papillae anales membranous with short hair-like setae; both pairs of apophyses slender, moderate length; ductus bursae as long as corpus bursae, with a pair of slender lateral sclerites. Corpus bursae elliptical, basal half part surrounded by dense internal spinose patch; ductus seminalis arising from lateral base of corpus bursae, broadened and coiled basally. Distribution and phenology. Endemic to Taiwan. The adults occasionally occur from March to November.Published as part of Wu, Shipher, Owada, Mamoru & Wang, Min, 2019, Review of Cidariplura Butler, 1879 (Lepidoptera, Erebidae, Herminiinae). Part 1: the Cidariplura gladiata species complex, pp. 489-502 in Zootaxa 4668 (4) on pages 497-498, DOI: 10.11646/zootaxa.4668.4.3, http://zenodo.org/record/344986

    Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance

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    Repetitive processes are characterized by a series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an H? and 2\ell_{2}–\ell_{\infty} dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by HH_{\infty} and 2\ell_{2}\ell_{\infty} norms

    An improved moving particle semi-implicit method for dam break simulation

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    Dam break is quite a common and hazard phenomenon in shipbuilding and ocean engineering. The objective of this study is to investigate dam break hydrodynamics with improved Moving Particle Semi-implicit method (MPS). Compared to traditional mesh methods, MPS is feasible to simulate surface flows with large deformation, however, during the simulation, the pressure oscillates violently, due to misjudgment of surface particles as well as particles gathering together. To modify these problems, a new arc method is applied to judge free surface particles, and a collision model is introduced to avoid particles from gathering together. Hydrostatic pressure is simulated by original and improved MPS. The results verify that improved MPS method is more effective. Based on these, dam break model is investigated with improved MPS

    Gamma-irradiation effect on electrical properties of SiO2 gate dielectric of MOS structure

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    The total dose effect of 60Co gamma-irradiation on MOS (metal-oxide-semiconductor) structure of Al/SiO2/p-Si with different insulation layer thickness has been investigated in this article. MOS capacitors with oxide layer thickness of 5nm/19nm/29nm and electrode area of 1mm 2 were prepared using thermal oxidation method. Each structure was stressed with no bias during 60Co gamma-source irradiation with the total dose of 100k/500k/1Mrad. The low and high frequency C-V characteristic of each structure was measured at room temperature before and after gamma-irradiation. Besides of the electric properties, Atomic Force Microscopy (AFM), Grazing Incidence X-ray Diffraction (XRD), and X-ray Photoelectron Spectroscopy (XPS) with Ar+ etching were also measured before and after different total dose gamma-irradiation. AFM results showed that the surface of the oxide was relatively smooth with the roughness under 5%. Low and high frequency C-V results indicated that the interfacial states between Si and SiO2 and oxide traps varied with insulation layer thickness and different total dose. On the other hand, the XRD property change under gamma irradiation differs with oxide layer thickness. And the Si 2p peak and O 1s peak result derived from the XPS drifted with different total dose and oxide layer thickness. These results offered necessary theory assistance for the nuclear hardening of the microelectronic devices with ultrathin insulation layer, which can advance the safety of weapons in the high-tech warfare. © 2012 IEEE

    Persistent manifolds of the special Euclidean group SE(3): A review

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    Mechanisms and robots often share the following fundamental property: the instantaneous twist space generated by the end-effector at a generic pose is a rigidly-displaced copy of the one generated at the home configuration, i.e., the tangent spaces at all points of its motion manifold (a manifold of the Lie group of rigid displacements SE(3)) are mutually congruent. A manifold of this kind, hereafter denoted as persistent, can be seen as the envelope of a persistent twist subspace rigidly moving in SE(3). In this paper, we shall summarize three important classes of persistent manifolds that have so far been discovered and systematically investigated in the literature, namely the Lie subgroups, the persistent product-of-exponential (POE) manifolds, and the symmetric subspaces. In each case, the persistence property arises from a distinct manifold structure, which dictates the ensuing classification and underlies the framework for the synthesis of mechanical devices that are capable of generating such manifolds. In this regard, we attempt to offer a guideline to classification and mechanism synthesis of persistent manifolds for a general audience

    Astragalus wui M. Idrees & Z. Y. Zhang 2021, nom. nov.

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    Astragalus wui M. Idrees & Z.Y. Zhang, nom. nov. Replaced name:— Astragalus sylvaticus Y.H. Wu (2015: 718), nom. illeg., non A. sylvaticus (Pall.) Willd. (1802: 1300). Type:— CHINA. Xinjiang: Yecheng Country, Sukepiya, in border forest, alt. 3000 m, 15 Aug. 1987, Exped. Qinghai-Tibet Wu Yuhu 1067 (holotype: QTPMB, not seen). Etymology:—The specific epithet honours Prof. Dr. Wu Yuhu (Northwest Institute of Plateau Biology, Chinese Academy of Science, Xining, China), author of the replaced name, who first described this new species.Published as part of Idrees, Muhammad & Zhang, Zhiyong, 2021, Astragalus wui, a new replacement name for A. sylvaticus Y. H. Wu (Galegeae, Papilionoideae, Fabaceae), pp. 210-211 in Phytotaxa 524 (3) on page 210, DOI: 10.11646/phytotaxa.524.3.6, http://zenodo.org/record/564936
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