scholarly journals Crossings and Nestings in Set Partitions of Classical Types

10.37236/392 ◽  
2010 ◽  
Vol 17 (1) ◽  
Author(s):  
Martin Rubey ◽  
Christian Stump

In this article, we investigate bijections on various classes of set partitions of classical types that preserve openers and closers. On the one hand we present bijections for types $B$ and $C$ that interchange crossings and nestings, which generalize a construction by Kasraoui and Zeng for type $A$. On the other hand we generalize a bijection to type $B$ and $C$ that interchanges the cardinality of a maximal crossing with the cardinality of a maximal nesting, as given by Chen, Deng, Du, Stanley and Yan for type $A$. For type $D$, we were only able to construct a bijection between non-crossing and non-nesting set partitions. For all classical types we show that the set of openers and the set of closers determine a non-crossing or non-nesting set partition essentially uniquely.

2010 ◽  
Vol DMTCS Proceedings vol. AN,... (Proceedings) ◽  
Author(s):  
Martin Rubey ◽  
Christian Stump

International audience In this extended abstract, we investigate bijections on various classes of set partitions of classical types that preserve openers and closers. On the one hand we present bijections for types $B$ and $C$ that interchange crossings and nestings, which generalize a construction by Kasraoui and Zeng for type $A$. On the other hand we generalize a bijection to type $B$ and $C$ that interchanges the cardinality of a maximal crossing with the cardinality of a maximal nesting, as given by Chen, Deng, Du, Stanley and Yan for type $A$. For type $D$, we were only able to construct a bijection between non-crossing and non-nesting set partitions. For all classical types we show that the set of openers and the set of closers determine a non-crossing or non-nesting set partition essentially uniquely. Dans ce résumé, nous étudions des bijections entre diverses classes de partitions d'ensemble de types classiques qui préservent les "openers'' et les "closers''. D'une part, nous présentons des bijections pour les types $B$ et $C$ qui échangent croisées et emboôtées, qui généralisent une construction de Kasraoui et Zeng pour le type $A$. D'autre part, nous généralisons une bijection pour le type $B$ et $C$ qui échange la cardinalité d'un croisement maximal avec la cardinalité d'un emboîtement maximal comme il a été fait par Chen, Deng, Du, Stanley et Yan pour le type $A$. Pour le type $D$, nous avons seulement construit une bijection entre les partitions non croisées et non emboîtées. Pour tout les types classiques, nous montrons que l'ensemble des "openers'' et l'ensemble des "closers'' déterminent une partition non croisées ou non emboîtées essentiellement de façon unique.


2016 ◽  
Vol 9 (2) ◽  
pp. 179-189
Author(s):  
Laurent Sagart (沙加爾) ◽  
William H. Baxter (白一平)

It is proposed that oc pharyngealized onset consonants—that is, ‘type-A’ onset consonants—arose out of Proto-Sino-Tibetan plain consonants followed by geminate vowels separated by a pharyngeal fricative. When the first copy of the geminate vowel fell, the initial consonants formed clusters with the pharyngeal fricative, evolving into the oc pharyngealized consonants we reconstruct. In the Kuki-Chin branch of Tibeto-Burman, the pharyngeal fricative fell, and long vowels resulted. This proposal supposes a statistical correlation between Kuki-Chin long vowels and oc type-A words on the one hand, and between Kuki-Chin short vowels and oc type-B words on the other, as originally proposed by S. Starostin. A significant statistic bearing on forty-three probable Chinese-Kuki-Chin cognates supports this correlation. Thus reconstructed, a precursor language of Proto-Sino-Tibetan was aligned with Proto-Austronesian and Proto-Austroasiatic in exhibiting a surface constraint against monomoraic free words: by that constraint, the vowel of an underlying monosyllable was realized as a geminate with an intervening parasitic consonant such as a glottal stop or a pharyngeal fricative, while the vowels of a disyllable remained nongeminate. After reduction of disyllables to monosyllables, this process resulted in a pharyngealized vs. nonpharyngealized consonant distinction in oc. 論文提出對上古漢語咽化聲母(即“A類聲母”)來源的一個假設,認為咽化聲母來源於原始漢藏語的無標記輔音,並且此無標記輔音後跟隨著由咽部擦音[ʕ]分割的雙胞元音(geminate vowels)。在雙胞元音的前半部分脫落後,輔音聲母跟咽部擦音形成了複輔音。新形成的複輔音最終演變為上古漢語的咽化聲母。而在藏緬語庫基-欽(Kuki-Chin)語支中,則是咽化擦音脫落,使雙胞元音變為長元音。本文解釋了漢語與庫基-欽語中一個統計學的顯著相關性:一方面,庫基-欽語含長元音的詞與上古漢語含A類聲母的詞呈顯著相關;另一方面,庫基-欽語含短元音的詞與上古漢語含B類聲母的詞呈顯著相關,正如斯塔羅金(S. Starostin)所說。據此構擬,我們提出原始漢藏語、原始南島語與原始南亞語中的一個共同限制(constraint):禁止在語流中出現單音拍(monomoraic)詞。在這一限制的作用下,單音節詞的單元音發生了雙胞化(germination),雙胞元音中間插入了喉塞音或咽部擦音之類的次聲輔音。而同時,雙音節詞的元音無變化。漢語經過雙音節詞的單音節化,就形成了無標記輔音與咽化輔音的音位對立。(This article is in English.)


Author(s):  
Yrjö Lauranto

This article examines object case marking in a Finnish verb structure called the Projected Directive Construction, e.g. Liisa pyysi Matti-a lähte-mä-än ‘Liisa asked Matti to leave’ (Liisa.NOMINATIVE asked Matti-PARTITIVE leave-INF-ILLATIVE). The PDC is divided into three subtypes. Type A includes verbs such as pyytää ‘to request’, which take a partitive object regardless of the outcome of the action. Verbs used in type B, such as määrätä ‘to order’, take an accusative object despite the result of the action. Type C comprises verbs such as suostutella ‘to persuade’ taking either a partitive or an accusative object, depending on the outcome of the semiotic causation expressed in the clause. The object case marking in the three subtypes reflects the two-faceted nature of the construction: on the one hand, it is a construction used for reporting of speech, on the other, it is a causative construction. It seems that boundedness – as it has traditionally been defined – does not suffice to describe the alternation of the object case in the PDC.Kokkuvõte. Yrjö Lauranto: Projitseeritud direktiivsed konstruktsioonid ja objekti käände markeerimine soome keeles. Artiklis käsitletakse objekti käänet soome keele projitseeritud direktiivses konstruktsioonis (PDK), nt Liisa pyysi Matti-a lähte-mä-än ‘Liisa palus Matit ära minna’. PDK võib jagada kolme alltüüpi. Tüüp A sisaldab verbe nagu pyytää ‘paluda’, mis nõuavad partitiivobjekti, sõltumata tegevuse tulemusest. Tüüp B verbid nagu määrätä ‘käskida’ nõuavad akusatiivobjekti, sõltumata tegevuse tulemuslikkusest. Tüüpi C kuuluvad verbid nagu suostutella ‘veenda’, mis võivad võtta nii partitiivse kui akusatiivse objekti, sõltuvalt lausega väljendatud semiootilise põhjustatuse tulemusest. Kolme alltüübi käändemarkeering peegeldab konstruktsiooni kahetist olemust: ühelt poolt kasutatakse konstruktsiooni kõne vahendamiseks, teiselt poolt on tegemist kausatiivse konstruktsiooniga. Seega ei piisa PDK objekti käändevahelduse selgitamiseks vaid piiritletuse mõistest.Võtmesõnad: objekti käände markeerimine; piiritletus; akusatiiv; partitiiv; kõne ja mõtete vahendamine; projitseerimine; kausatiivne konstruktsioon; soome keel


1930 ◽  
Vol 30 (1) ◽  
pp. 40-54 ◽  
Author(s):  
G. S. Wilson

1. Analysis of a series of 135 strains of B. aertrycke indicates that at least four well-defined types may be recognised on the basis of morphology, colonial formation, virulence to mice, and to a less extent agglutination by salt, serum, and acids. These types comprise: (i) type A—the normal smooth virulent form; (ii) type B—a smooth form of low virulence; (iii) type C—a roughish, so-called ichthyotic, form of low virulence; (iv) type D—the really rough avirulent form. Between these well-defined types certain transitional forms may sometimes be recognised, the virulence of which is frequently of an order intermediate between that of the A type on the one hand, and the B, C, or D types on the other.2. Evidence is brought to show that if a virulent strain is sub-cultured daily, under conditions known to lead to a fall in virulence of the whole culture, a gradual replacement occurs of the virulent type A bacilli by the avirulent B, C or D types. So long as an adequate proportion, which is very small, of type A bacilli persists in the culture the virulence of the whole culture remains fairly high; but when all type A bacilli have been replaced by bacilli of the B, C or D types the virulence of the whole culture falls considerably.


Author(s):  
Stefan Krause ◽  
Markus Appel

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.


2005 ◽  
Vol 44 (03) ◽  
pp. 107-117
Author(s):  
R. G. Meyer ◽  
W. Herr ◽  
A. Helisch ◽  
P. Bartenstein ◽  
I. Buchmann

SummaryThe prognosis of patients with acute myeloid leukaemia (AML) has improved considerably by introduction of aggressive consolidation chemotherapy and haematopoietic stem cell transplantation (SCT). Nevertheless, only 20-30% of patients with AML achieve long-term diseasefree survival after SCT. The most common cause of treatment failure is relapse. Additionally, mortality rates are significantly increased by therapy-related causes such as toxicity of chemotherapy and complications of SCT. Including radioimmunotherapies in the treatment of AML and myelodyplastic syndrome (MDS) allows for the achievement of a pronounced antileukaemic effect for the reduction of relapse rates on the one hand. On the other hand, no increase of acute toxicity and later complications should be induced. These effects are important for the primary reduction of tumour cells as well as for the myeloablative conditioning before SCT.This paper provides a systematic and critical review of the currently used radionuclides and immunoconjugates for the treatment of AML and MDS and summarizes the literature on primary tumour cell reductive radioimmunotherapies on the one hand and conditioning radioimmunotherapies before SCT on the other hand.


2003 ◽  
pp. 15-26
Author(s):  
P. Wynarczyk
Keyword(s):  
The Core ◽  

Two aspects of Schumpeter' legacy are analyzed in the article. On the one hand, he can be viewed as the custodian of the neoclassical harvest supplementing to its stock of inherited knowledge. On the other hand, the innovative character of his works is emphasized that allows to consider him a proponent of hetherodoxy. It is stressed that Schumpeter's revolutionary challenge can lead to radical changes in modern economics.


2018 ◽  
Vol 4 (1) ◽  
pp. 67-84
Author(s):  
Wahyudin Noor

Abstract Pesantren are often associated with backwardness and traditionalism in everything: facilities, technology, learning methods, and even the curriculum. For now, it seems like the traditional term for pesantren is no longer relevant enough. The pace of movement in the era of renewal marked by the rapid development of technology has demanded pesantren to make adjustments. However, on the one hand, when viewed from the direction of change, the reform efforts pursued by pesantren are not to erase the old tradition, but merely to add something new so that the old tradition and conditions can be maintained while accepting the presence of a new one. On the other hand, the reform efforts undertaken by pesantren have implications for the fact that the typical values of the pesantren are fading away. Abstrak  Pesantren seringkali diasosiasikan dengan keterbelakangan dan tradisional dalam segala hal: fasilitas, teknologi, metode pembelajaran, dan bahkan kurikulumnya. Untuk saat ini, sepertinya istilah tradisional untuk pesantren, sudah tidak lagi cukup relevan. Laju gerak pembaharuan zaman yang ditandai dengan pesatnya perkembangan teknologi telah menuntut pesantren untuk melakukan penyesuaian diri. Kendatipun demikian, di satu sisi, jika dilihat dari arah perubahan, upaya pembaharuan yang ditempuh pesantren tidaklah untuk menghapus tradisi yang lama, tetapi sekadar menambah dengan sesuatu yang baru sehingga tradisi maupun kondisi yang lama bisa dipertahankan sambil menerima kehadiran yang baru. Di sisi yang lain, upaya pembaharuan yang dilakukan pesantren ternyata berimplikasi pada kenyataan akan semakin pudarnya nilai-nilai khas yang dimiliki oleh pesantren.


2018 ◽  
Vol 1 (1) ◽  
pp. 37-52
Author(s):  
Karimatul Khasanah
Keyword(s):  

BASYARNAS’s verdict in resolving dispute can be negotiated or cancelled by submitting nullification to the Religious Court if the parties or one of them felt dissatisfied with the BASYARNAS verdicts. This case is important to be reviewed academically because of its paradox and ambiguity. On the one hand the decision is final and binding, but on the other hand it could be cancelled through the Religious Court. If the BASYARNAS verdicts really want to be final and binding, the nullification of the verdicts should be abolished. It can be replaced by an amendment of the verdict submitted to BASYARNAS and handed back to the arbitrator (arbitrator panel) who handles the dispute. Apart being fast and confidential, the arbitrator (judge) is more aware of the case, the reasons, evidences and witnesses of the dispute.


2020 ◽  
Vol 65 (4) ◽  
pp. 401-422
Author(s):  
Estelle Variot
Keyword(s):  
The One ◽  

"Etymological, Lexical and Semantic Correspondences in the Process of Feminization of Professional Names, Trades and Activities in French and Romanian Societies. The feminization of thought represented by language and of its varieties in the Roman World has allowed to highlight some convergences that come from a common linguistic heritage, often from Greek and Latin and some hesitation about adapting society to its realities. The feminization of some words which comes from an ancient process illustrates on the one hand the potential of the language and on the other hand some constraints sometimes linked to the society itself, which creates transitional periods, between matching grammatical correction and the evolution of linguistic uses over time. The possibilities of lexical enrichment (internal creation or loan) show the means available in French and Romanian and some convergences in the area of derivation, of lexical units and their etymologies. The grammatical perspective and word constructing methods make it possible to give keys for the feminization of names of trades or professions. Likewise, recording entries in the lexicon, their evolution, their assimilation or sometimes their forgetfulness, for the benefit of new constructions highlight the existence of objective and subjective criteria which teach us a lot about society as a whole. Keywords: feminization of professions, internal and external enrichment, suffixal match, use of words, grammar, lexicon, French and Romanian."


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