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Journal articles on the topic 'Grobner theory'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

Jensen, Anders Nedergaard. "A Non-Regular Grobner Fan." Discrete & Computational Geometry 37, no. 3 (2007): 443–53. http://dx.doi.org/10.1007/s00454-006-1289-0.

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2

Petrovic, Zoran, and Branislav Prvulovic. "New immersion theorems for Grassmann manifolds G3,n." Publications de l'Institut Math?matique (Belgrade) 101, no. 115 (2017): 1–10. http://dx.doi.org/10.2298/pim1715001p.

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A Grobner basis for the ideal determining mod 2 cohomology of Grassmannian G3,n, obtained in a previous paper, is used, along with the method of obstruction theory, to establish some new immersion results for these manifolds.
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3

Kawasaki, Harushisa, and Toshimi Shimizu. "Symbolic Analysis of Robot Base Parameter Set Using Grobner-Basis." Journal of Robotics and Mechatronics 10, no. 6 (1998): 475–81. http://dx.doi.org/10.20965/jrm.1998.p0475.

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We analyzed base parameters for closed-loop robots using robot symbolic analysis based on the completion procedure in polynomial ideal theory. The robot dynamics regressor is represented as a matrix of multivariate polynomials and reduced to normal form based on Buchberger's algorithm by constructing reduced Grobner basis from kinematic constrained equations. The linear independence of the reduced regressor's column vectors is studied by Gauss-Jordan elimination. Original dynamic parameters are regrouped and some eliminated, depending on results. This omits the need to solve kinematic constrained equations explicitly, deriving all base parameters systematically in theory. An example is shown using robot symbolic analysis system: ROSAM 11.
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4

Muzika-Dizdarevic, Manuela, and Rade Zivaljevic. "Symmetric polyomino tilings, tribones, ideals, and Gröbner bases." Publications de l'Institut Math?matique (Belgrade) 98, no. 112 (2015): 1–23. http://dx.doi.org/10.2298/pim1512001m.

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We apply the theory of Grobner bases to the study of signed, symmetric polyomino tilings of planar domains. Complementing the results of Conway and Lagarias we show that the triangular regions TN = T3k?1 and TN = T3k in a hexagonal lattice admit a signed tiling by three-in-line polyominoes (tribones) symmetric with respect to the 120? rotation of the triangle if and only if either N = 27r ? 1 or N = 27r for some integer r > 0. The method applied is quite general and can be adapted to a large class of symmetric tiling problems.
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5

Saints, K., and C. Heegard. "Algebraic-geometric codes and multidimensional cyclic codes: a unified theory and algorithms for decoding using Grobner bases." IEEE Transactions on Information Theory 41, no. 6 (1995): 1733–51. http://dx.doi.org/10.1109/18.476246.

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6

Rigby, John. "A simple proof of Lester’s theorem." Mathematical Gazette 87, no. 510 (2003): 444–52. http://dx.doi.org/10.1017/s0025557200173620.

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Lester’s theorem (1997) states that in any scalene triangle the two Fermat points F and F' (to be defined later), the nine-point centre N, and the circumcentre O, are concyclic, and that the pair of points O,F separates the pair N, F'. (In certain geometrical situations a line is regarded as a circle of infinite radius, so that the word ‘concyclic’ includes ‘collinear’ as a special case, but here ‘concyclic’ means ‘lying on a proper circle of finite radius’.) Previous proofs of Lester’s theorem have involved advanced techniques and/or computer algebra; to quote from Ron Shail’s recent article [1],‘Lester’s original computer-assisted discovery and proof make use of her theory of “complex triangle coordinates” and “complex triangle functions”. ... A proof has also been given by Trott ... using the advanced concept of GrObner bases in the reduction of systems of polynomial equations to “diagonal” form. Trott’s work uses the computer algebra system Mathematica as an essential tool.’
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7

Yabuno, Hiroshi. "Nonlinear Stability Analysis for Summed-Type Combination Resonance under Parametrical Excitation. (Application of Center Manifold Theory and Grobner Basiswith Computer Algebra)." Transactions of the Japan Society of Mechanical Engineers Series C 60, no. 572 (1994): 1151–58. http://dx.doi.org/10.1299/kikaic.60.1151.

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8

VAMPELJ SUHADOLNIK, Nataša. "Podoba in vloga Matere Zahodnega kraljestva v grobni umetnosti dinastije Han." Asian Studies 3, no. 2 (2015): 197–212. http://dx.doi.org/10.4312/as.2015.3.2.197-212.

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Pričujoči prispevek podrobneje obravnava podobo kitajske starodavne boginje Matere Zahodnega kraljestva, v kitajščini imenovane Xiwangmu 西王母. Xiwangmu je v mitološki tradiciji prikazana kot boginja, ki poseduje eliksir nesmrtnosti in prebiva v Zahodnem raju na magični gori Kunlun 崑崙. Njeno podobo je mogoče opazovati v stenskem slikarstvu, na lakiranih izdelkih, bronastih ogledalih, največkrat pa se pojavi kot reliefna podoba na kamnih ali opekah, ki so sestavljale grobne komore ali posamezne templje na površju grobne zasnove dinastije Han (206 pr. n. št.–220 n. št.). Literarna tradicija razkriva večfunkcionalno vlogo matere s številnim atributi, ki se razvija skladno s spreminjajočimi se vrednotami družbenih mitoloških konceptov. Kakšna je njena podoba in kakšno vlogo prevzema v širšem kozmološkem konceptu v grobni umetnosti dinastije Han, je osrednja problematika pričujočega prispevka.
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9

Kawasaki, Haruhisa. "Special Issue on Analysis and Simulation Systems for Robotics and Mechatronics." Journal of Robotics and Mechatronics 10, no. 6 (1998): 463. http://dx.doi.org/10.20965/jrm.1998.p0463.

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Superior analysis and simulation systems play an important part in robotics and mechatronics R&D. Developing apparatuses involves repeating planning, trial manufacture, experiments, analysis, and improvement. Simulation and analysis are now executed before trial manufacture, decreasing the number of trial manufacture, shortening development, and cutting development cost. Virtual reality is often applied to simulation, and commercialization without trial manufactures will eventually be possible. Most commercialized simulation software are being improved for general use based on software made by researchers because existing analysis and simulation do not function sufficiently and researchers are often required to develop their own analysis and simulation. Simulation developed for research thus may be used by many technical experts and researchers in the future. This special issue introduces seven reports on basic mechanism analysis developed to survey simulation research. Michisuke Jo et al. developed a mechanism kinetic analysis Motor Drive using FORTRAN and MATLAB. This article, entitled Kinematic Analysis of Mechanisms Using Motor Algebra and Graph Theory, considers kinematic analysis method using the latest drive version. Haruhisa Kawasaki et al. are developing robot analysis ROSAM II using C and Maple V. This article, entitled Symbolic Analysis of Robot Base Parameter Set Using Grobner-Basis, considers base parameter analysis of general robots with closed links. Hajime Morikawa et al. developed a robot simulator kinematically simulated by connecting graphic icons. This article, entitled Network-Based Robot Simulator Using Hierarchical Graphic Icons, considers construction of a robot simulator, kinetic analysis of multiple robot arms, dynamic analysis of forest trimmers, and an example applying remote control to space robots. Shigeki Toyama et al. developed general-use mechanism analysis simulator AI MOTION. This article, entitled Dynamic Autonomous Car Mobile Analysis Simulating Mechanical Systems Analysis, considers an autonomous car travel simulator dynamically modeling tires combined into AI MOTION. The simulator analyzes the connection of tire rigidity, car width, caster radius, and motion performance. Takayoshi Muto et al. developed dynamic behavior simulator BDSP for hydraulic systems. This article, entitled Software Package BDSP Developed to Simulate Hydraulic Systems, considers construction of BDSP that analyzes hydraulic systems using easy block diagrams. The simulator analyzes fluid line, nonlinear elements, and discrete time control. Shinichi Nakajima et al. developed a two-dimensional jaw movement simulator for clarifying the function of muscles in lower jaw motion. This article, entitled Development of 2-D Jaw Movement Simulator(JSN/SI), considers hardware and a control system for chewing food at a required force. Yoshiyuki Sankai et al., in Robot Objective Parallel Calculation and Real-time Control Using a Digital Signal Processor, consider parallel distributed and realtime control by DSP for constructing control in an actual robot. This issue discussed analysis and simulation developed for robotics and mechatronics R&D. Most systems are applicable to general-purpose situations. We hope this issue helps deepen the understanding of the status and applications of simulation research in mechatronics and promotes further development in the field.
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10

Ferlus, Michel. "Les Systèmes De Tons Dans Les Langues Viet-Muong." Diachronica 15, no. 1 (1998): 1–27. http://dx.doi.org/10.1075/dia.15.1.02fer.

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SUMMARY The Viet-Muong languages present a wide variety of systems having four to six tones, and reflecting two earlier systems: a six-tone system and a four-tone system in which final -h is preserved. Vietnamese, Muòng and Cuoi are representative of a pure six-tone system in the traditional definition. Sách/ Ruc and Thavung have a four-tone system in which vowel breathiness is preserved in the low tone series. When in such a system breathiness is lost too fast, as in Maleng, the result is a kind of eroded two-tone system. In some languages like Pong and some Vietnamese dialects, final -h was lost without giving contrastive tones, the result being a kind of heterodox four-tone system. The situation of tone systems in Viet-Muong languages is of the highest importance for the theory of tonogenesis. RÉSUMÉ Les langues viet-muong offrent un large éventail de systèmes tonals, de quatre à six tons, provenant tous de deux systèmes antérieurs de base: l'un à six tons et l'autre à quatre tons où le -h final est préservé. Le vietnamien, le muròng et le cuôi sont représentatifs d'un pur système à six tons dans leur définition la plus classique. Le sách/ruc et le thavung ont un système à quatre tons avec des voyelles soufflées sous les tons de la série basse. La chute trop rapide du caractère soufflé, comme en maleng, donne une sorte de système érrodé à deux tons. En pong et dans certains dialectes vietnamiens le -h final est tombé sans entraîner la création de tons supplémentaires, le résultat étant la formation de systèmes tonals hétérodoxes à quatre tons. La variété des systèmes tonals en viet-muong représente un apport important à une théorie de la tonogénèse. ZUSAMMENFASSUNG Die Viet-Muong-Sprachen stellen eine groBe Varietät von Systemen zwi-schen vier und sechs Tonen dar; sie reflektieren zwei frühere Systeme, und zwar ein Sechstonsystem und ein Viertonsystem, in welchen ein finales -h erhalten geblieben ist. Vietnamesisch, Muòng and Cuoi sind repräsentativ fur ein reines Sechstonsystem der herkommlichen Art. Sách/Ruc und Thavung hingegen haben ein Viertonsystem, in welchem eine rauhe Vokalbehauchung in der niederen Tonreihe erhalten geblieben ist. Wenn in einem solchen System die rauhe Behauchung zu schnell verlorengeht, wie im Maleng, ist das Ergebnis eine Art heruntergekommenes Zweitonsystem. In solchen Sprachen wie Pong und einigen vietnamesischen Dialekten war das End-h verlorenge-gangen, ohne jedoch kontrastierende Tone zu erhalten: das Ergebnis war eine Art heterodoxes Viertonsystem. The Situation der Tonsysteme in den Viet-Muong-Sprachen ist von groBter Wichtigkeit fur die Theorie der Tongenese.
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11

Pączkowska, Agnieszka. "Podobieństwa i różnice w interpretacji szkieletu jako postaci nadprzyrodzonej w chrześcijańskiej Europie Zachodniej oraz w Japonii." Porównania 18 (December 1, 2016): 61–90. http://dx.doi.org/10.14746/p.2016.18.10592.

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Ludzka czaszka oraz szkielet są symbolami, które jednoznacznie kojarzą się ze śmiercią i można by je uznać za uniwersalne, jednakże ich prawdziwe znaczenie może się różnić w zależności od prądów kulturalno-religijnych, które je ukształtowały. W cywilizacji chrześcijańskiej zachodniejEuropy i w Japonii suche ludzkie kości nie tylko leżały w grobie, ale poruszały się w wyobraźniludzi i w sztuce. W europejskiej interpretacji szkielet stał się konkretną osobą, personifikacjąśmierci. Natomiast w japońskiej kulturze przedstawiał on mściwego ducha dokonującego zemstyna wybranych osobach. Podobieństwa i różnice w znaczeniu symbolu szkieletu zanalizowanow oparciu o źródła historyczno-literackie i artystyczne.
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12

Urbanija, Matic. "Prodor evropske glasbe na Kitajsko in njena recepcija v kitajski družbi." Asian Studies, no. 2 (December 1, 2010): 111–28. http://dx.doi.org/10.4312/as.2010.14.2.111-128.

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Članek obravnava zgodovinski proces vstopa evropske glasbe na Kitajsko in njene recepcije v kitajski družbi. Ta proces, ki se je začel v začetku 17. stoletja s prihodom prvih jezuitskih misijonarjev na cesarski dvor, poteka še danes in v grobem bi ga lahko razdelili v tri obdobja. Glavna značilnost tega procesa je predvsem prehod od pasivnega sprejemanja k aktivnemu ustvarjanju in (zlo)rabi prejetega glasbenega sistema.
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13

Hanson, L. G., Jian Zhang, and P. Lambropoulos. "Response to "Comment on "Theory of core-resonant ionization" " by S. L. Haan and R. Grobe." Europhysics Letters (EPL) 33, no. 3 (1996): 251–52. http://dx.doi.org/10.1209/epl/i1996-00328-9.

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14

Blume, Herbert. "JÜRGEN SCHULZ-GROBERT: Das Straßburger Eulenspiegelbuch. Studien zu entwicklungsgeschichtlichen Voraussetzungen der ältesten Drucküberlieferung. - Tübingen: Niemeyer 1999. (= Hermaea. Neue Folge 83.) 424 S., Abb." Daphnis 30, no. 1-2 (2001): 363–69. http://dx.doi.org/10.1163/18796583-90000748.

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15

Andersen, Elizabeth A., and Michael Waltenberger. "Das grobe Herz der Erzahlung. Studien zu Narration und Interdiskursivitat im 'Prosa-Lancelot'." Modern Language Review 97, no. 3 (2002): 757. http://dx.doi.org/10.2307/3737568.

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16

Seelbach, Ulrich. "CASPAR SCHEIDT: Grobianus. Von groben sitten vnd vnhöflichen geberden. Hrsg. von Rolf D. Fay. - Stuttgart: helfant edition 1985. (= helfant texte T 1.) XVIII u. 164 S.; 1 Abb." Daphnis 15, no. 1 (1986): 183–88. http://dx.doi.org/10.1163/18796583-90000344.

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17

Drescher, Martina. "Eddy Roulet/Laurent Filliettaz/Anne Grobet, avec la collaboration de Marc Burger,Un modèle et un instrument d'analyse de l'organisation du discours." Zeitschrift für romanische Philologie (ZrP) 120, no. 1 (2004): 155–63. http://dx.doi.org/10.1515/zrph.2004.155.

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18

Hall, Kimberly A. "The Art of Confession: The Performance of Self from Robert Lowell to Reality TV. By Christopher Grobe. New York: New York University Press, 2017; 320 pp.; illustrations. $89.00 cloth, $30.00 paper, e-book available." TDR/The Drama Review 63, no. 2 (2019): 180–82. http://dx.doi.org/10.1162/dram_r_00846.

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19

Murray, Robert W. "Early Germanic Syllable Structure Revisited." Diachronica 8, no. 2 (1991): 201–38. http://dx.doi.org/10.1075/dia.8.2.04mur.

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SUMMARY This paper discusses four approaches to the reconstruction of the early Germanic syllabication of VCRV and VCRV sequences; A) Murray & Vennemann (1983) and Murray (1988), B) Barrack (1989), C) Dresher & Lahiri (1991), and D) Liberman (1990). Approach A develops a two-stage analysis involving Proto-Germanic VC$RV and V$CR$(R)V in accordance with Sievers' Law and subsequent reduction of V$CR$(R)V to VC$RV in the early dialects (with some dialect-specific variation). These syllabications provide the basis for a treatment of important phonological changes in early Germanic on the basis of a preference theory for syllable structure. Although VC$RV and VC$RV represent marked syllable structure in that poor syllable contacts result, motivation for this syllabication can be found in the Stressed Syllable Law and Streitberg's law of mora conservation. By contrast, the approaches outlined in B, C, and D run into major problems. It is shown in each of these cases that the problems can be directly traced to the alternative syllabications assumed and concluded that only approach A has succeeded in providing a comprehensive and coherent treatment of relevant aspects of early Germanic phonology. RÉSUMÉ Le présent article discute quatre façons de reconstruire la syllabation des séquences VCRV et VCRV en ancien germanique, à savoir A) Murray et Vennemann (1983) and Murray (1988), B) Barrack (1989), C) Dresher & Lahiri (1991), ainsi que D) Liberman (1990). L'approche A développe une analyse à deux étapes qui implique les structures proto-germaniques VC$RV et V$CR$(R)V selon la loi de Sievers, suivi de la réduction de V$CR$(R)V à VC$RV dans les anciens dialectes (avec quelques variations spécifiques à certains dialectes). Ces syllabations nous fournissent une base pour le traitement de changements phonologiques importants en ancien germanique, en termes d'une théorie de préférence pour les structures syllabiques. Bien que VC$RV soit une structure syllabique marquée (puisqu'elle produit des contacts syllabiques médiocres), la motivation de cette syllabation se retrouve dans la 'loi des syllabes accentuées' et dans la concept de la loi de conservation des 'moras' de Streitberg. Par contraste, les approches B, C, et D rencontrent de sérieux problèmes. L'article démontre que dans chaque de ces cas, les problèmes peuvent être retracés directement au type de syllabation utilisé, ce qui amène à conclure que seulement l'approche A réussit à fournir un traitement compréhensif et cohérent des aspects pertinents de la phonologie de l'ancien germanique. ZUSAMMENFASSUNG In diesem Aufsatz werden vier verschiedene Auffasungen zur möglichen Rekonstruktion der frühgermanischen Silbenstruktur in den VCRV- und VCRV-Abfolgen vorgestellt und miteinander verglichen: A) Murray & Vennemann (1983) und Murray (1988); B) Barrack (1989); C) Dresher & Lahiri (1991) und D) Liberman (1990). In A werden zwei Stufen angenom-men: Stufe 1 mit urgermanischen VC$RV und V$CR$(R)V nach dem Siever-schen Gesetz und Stufe 2 mit VC$RV nach Reduktion der dreisilbischen Struktur in den Dialekten. Dièse Syllabierungen liefern die Grundlage fur eine Analyse wichtiger phonologischer Veränderungen im Frühgermanischen im Lichte einer Präferenztheorie fur Silbenstruktur. Obwohl VC$RV und VC$RV markierte Silbenstrukturen darstellen (da sie ungünstige Silbenkontakte ent-halten), finden sie ihre Motivation in dem Silbenbetonungsgesetz und im Streit-bergschen Mora-Gesetz. Im Gegensatz hierzu weisen B, C und D groBe Erklä-rungsschwierigkeiten auf. In jedem einzelnen Fall wird der Nachweis erbracht, daB diEse Schwierigkeiten auf die alternative Rekonstruktion der urgermanischen Silbenstruktur (z.B. V$CRV) zunickzufuhren sind. Es wird gefolgert, daB nur die in A vorgeschlagene Analyse eine angemessene Grundlage für die Untersuchung der frühgermanischen Phonologie liefert.
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20

Margulies, Susan, and I. V. Hicks. "An Algebraic Exploration of Dominating Sets and Vizing's Conjecture." Electronic Journal of Combinatorics 19, no. 2 (2012). http://dx.doi.org/10.37236/2194.

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Systems of polynomial equations are commonly used to model combinatorial problems such as independent set, graph coloring, Hamiltonian path, and others. We formulate the dominating set problem as a system of polynomial equations in two different ways: first, as a single, high-degree polynomial, and second as a collection of polynomials based on the complements of domination-critical graphs. We then provide a sufficient criterion for demonstrating that a particular ideal representation is already the universal Grobner bases of an ideal, and show that the second representation of the dominating set ideal in terms of domination-critical graphs is the universal Grobner basis for that ideal. We also present the first algebraic formulation of Vizing's conjecture, and discuss the theoretical and computational ramifications to this conjecture when using either of the two dominating set representations described above.
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21

Kohles, Sean S. "Biomechanical Analysis of Concealed Pack Load Influences on Terrorist Gait Signatures derived from Grobner Basis Theory." Journal of Forensic Biomechanics 05, no. 01 (2014). http://dx.doi.org/10.4172/2090-2697.1000118.

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22

Emelyanov, E. Y., S. G. Gorokhova та S. S. Kutateladze. "Неограниченная порядковая сходимость и теорема Гордона". Владикавказский математический журнал, № 21 (26 грудня 2019). http://dx.doi.org/10.23671/vnc.2019.21.44624.

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The celebrated Gordons theorem is a natural tool for dealing with universal completions of Archimedean vector lattices. Gordons theorem allows us to clarify some recent results on unbounded order convergence. Applying the Gordon theorem, we demonstrate several facts on order convergence of sequences in Archimedean vector lattices. We present an elementary Boolean-Valued proof of the Gao--Grobler--Troitsky--Xanthos theorem saying that a sequence x_n in an Archimedean vector lattice X is uo-null (uo-Cauchy) in X if and only if x_n is o-null (o-convergent) in Xu. We also give elementary proof of the theorem, which is a result of contributions of several authors, saying that an Archimedean vector lattice is sequentially uo-complete if and only if it is sigma-universally complete. Furthermore, we provide a comprehensive solution to Azouzis problem on characterization of an Archimedean vector lattice in which every uo-Cauchy net is o-convergent in its universal completion.
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23

Linke, Hansjürgen. "Kleinere mittelhochdeutsche Verserzählungen. Ausgewählt, übersetzt u. kommentiert v. Jürgen Schulz-Grobert." Beiträge zur Geschichte der deutschen Sprache und Literatur (PBB) 131, no. 2 (2009). http://dx.doi.org/10.1515/bgsl.2009.042.

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24

Kaźmierczak, Marek. "Znak, ideologia, zapomnienie. Uwagi o grobie upamiętniającym zagładę Żydów w lesie Niesłusz-Rudzica." Pamiętnik Literacki, no. 4 (2013). http://dx.doi.org/10.18318/pl.2013.4.11.

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