scholarly journals Double Crystals of Binary and Integral Matrices

10.37236/1112 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Marc A. A. Van Leeuwen
Keyword(s):  
Type A ◽  
The Other ◽  
Jeu De Taquin ◽  
Crystal Graph ◽  
Integral Matrices ◽  
New Perspective ◽  
Definition Of

We introduce a set of operations that we call crystal operations on matrices with entries either in $\{0,1\}$ or in $\mathbf N$. There are horizontal and vertical forms of these operations, which commute with each other, and they give rise to two different structures of a crystal graph of type $A$ on these sets of matrices. They provide a new perspective on many aspects of the RSK correspondence and its dual, and related constructions. Under a straightforward encoding of semistandard tableaux by matrices, the operations in one direction correspond to crystal operations applied to tableaux, while the operations in the other direction correspond to individual moves occurring during a jeu de taquin slide. For the (dual) RSK correspondence, or its variant the Burge correspondence, a matrix $M$ can be transformed by horizontal respectively vertical crystal operations into each of the matrices encoding the tableaux of the pair associated to $M$, and the inverse of this decomposition can be computed using crystal operations too. This decomposition can also be interpreted as computing Robinson's correspondence, as well as the Robinson-Schensted correspondence for pictures. Crystal operations shed new light on the method of growth diagrams for describing the RSK and related correspondences: organising the crystal operations in a particular way to determine the decomposition of matrices, one finds growth diagrams as a method of computation, and their local rules can be deduced from the definition of crystal operations. The Schützenberger involution and its relation to the other correspondences arise naturally in this context. Finally we define a version of Greene's poset invariant for both of the types of matrices considered, and show directly that crystal operations leave it unchanged, so that for such questions in the setting of matrices they can take play the role that elementary Knuth transformations play for words.

Ergativity and Transitivity

2015 ◽  
Vol 46 (3) ◽  
pp. 489-531 ◽  
Author(s):  
Ellen Woolford
Keyword(s):  
Type A ◽  
The Other ◽  
Direct Object ◽  
Nez Perce ◽  
External Argument ◽  
Object Shift ◽  
Shift Type ◽  
Ordinary Notion ◽  
The Subject ◽  
Definition Of

Ergative case is said to mark transitive subjects, and it is widely assumed that this is true under the ordinary definition of transitive; however, Bittner and Hale (1996) propose that ergative languages fall into two types, neither of which is based on the ordinary notion of transitivity. In one, a direct object is not necessary for ergative case: any verb with an external argument counts as transitive, following Hale and Keyser 1993 (e.g., Warlpiri). In the other, a direct object is necessary, but not sufficient: the subject gets ergative case only if the object moves out of the VP (e.g., Inuit). This article argues that Niuean, Dyirbal, and Nez Perce are also of this object shift type. A search yielded no language where ergative case is clearly governed only by ordinary transitivity; languages that do fit the stereotype have only ergative agreement. A formal account of the correlation between object shift and ergative case is proposed, under which ergative case can be used as a ‘‘last resort,’’ as one of three ways to avoid the locality violation that object shift creates.

Immunoferritin localization of intracellular antigens in positively stained frozen sections

1978 ◽  
Vol 36 (2) ◽  
pp. 168-169
Author(s):  
K. T. Tokuyasu
Keyword(s):  
Surface Tension ◽  
Water Surface ◽  
Thin Layers ◽  
The Other ◽  
Positive Staining ◽  
Frozen Sections ◽  
The Past ◽  
Ultrathin Frozen Sections ◽  
Definition Of

During the past investigations of immunoferritin localization of intracellular antigens in ultrathin frozen sections, we found that the degree of negative staining required to delineate u1trastructural details was often too dense for the recognition of ferritin particles. The quality of positive staining of ultrathin frozen sections, on the other hand, has generally been far inferior to that attainable in conventional plastic embedded sections, particularly in the definition of membranes. As we discussed before, a main cause of this difficulty seemed to be the vulnerability of frozen sections to the damaging effects of air-water surface tension at the time of drying of the sections.Indeed, we found that the quality of positive staining is greatly improved when positively stained frozen sections are protected against the effects of surface tension by embedding them in thin layers of mechanically stable materials at the time of drying (unpublished).

Lorenzo at ‘The Theatre’ Meeting actors and audience

2018 ◽  
pp. 13-38
Author(s):  
N. Ceramella
Keyword(s):  
Social Structure ◽  
Social Situation ◽  
The Other ◽  
Detailed Account ◽  
The Social ◽  
New Perspective ◽  
The One

The article considers two versions of D. H. Lawrence’s essay The Theatre: the one which appeared in the English Review in September 1913 and the other one which Lawrence published in his first travel book Twilight in Italy (1916). The latter, considerably revised and expanded, contains a number of new observations and gives a more detailed account of Lawrence’s ideas.Lawrence brings to life the atmosphere inside and outside the theatre in Gargnano, presenting vividly the social structure of this small northern Italian town. He depicts the theatre as a multi-storey stage, combining the interpretation of the plays by Shakespeare, D’Annunzio and Ibsen with psychological portraits of the actors and a presentation of the spectators and their responses to the plays as distinct social groups.Lawrence’s views on the theatre are contextualised by his insights into cinema and its growing popularity.What makes this research original is the fact that it offers a new perspective, aiming to illustrate the social situation inside and outside the theatre whichLawrenceobserved. The author uses the material that has never been published or discussed before such as the handwritten lists of box-holders in Gargnano Theatre, which was offered to Lawrence and his wife Frieda by Mr. Pietro Comboni, and the photographs of the box-panels that decorated the theatre inLawrence’s time.

The Image of the Hasmoneans: A New Perspective

2018 ◽  
Author(s):  
Vered Noam
Keyword(s):  
First Generation ◽  
Second Temple ◽  
The Other ◽  
Three Generations ◽  
The Creation ◽  
New Perspective ◽  
The One

In attempting to characterize Second Temple legends of the Hasmoneans, the concluding chapter identifies several distinct genres: fragments from Aramaic chronicles, priestly temple legends, Pharisaic legends, and theodicean legends explaining the fall of the Hasmonean dynasty. The chapter then examines, by generation, how Josephus on the one hand, and the rabbis on the other, reworked these embedded stories. The Josephan treatment aimed to reduce the hostility of the early traditions toward the Hasmoneans by imposing a contrasting accusatory framework that blames the Pharisees and justifies the Hasmonean ruler. The rabbinic treatment of the last three generations exemplifies the processes of rabbinization and the creation of archetypal figures. With respect to the first generation, the deliberate erasure of Judas Maccabeus’s name from the tradition of Nicanor’s defeat indicates that they chose to celebrate the Hasmonean victory but concealed its protagonists, the Maccabees, simply because no way was found to bring them into the rabbinic camp.

scholarly journals Language Family Engineering with Product Lines of Multi-level Models

2021 ◽  
Author(s):  
Juan de Lara ◽  
Esther Guerra
Keyword(s):  
Software Engineering ◽  
Arbitrary Number ◽  
Formal Theory ◽  
The Other ◽  
Language Family ◽  
Top Down ◽  
Product Lines ◽  
Modelling Languages ◽  
Multi Level ◽  
Definition Of

AbstractModelling is an essential activity in software engineering. It typically involves two meta-levels: one includes meta-models that describe modelling languages, and the other contains models built by instantiating those meta-models. Multi-level modelling generalizes this approach by allowing models to span an arbitrary number of meta-levels. A scenario that profits from multi-level modelling is the definition of language families that can be specialized (e.g., for different domains) by successive refinements at subsequent meta-levels, hence promoting language reuse. This enables an open set of variability options given by all possible specializations of the language family. However, multi-level modelling lacks the ability to express closed variability regarding the availability of language primitives or the possibility to opt between alternative primitive realizations. This limits the reuse opportunities of a language family. To improve this situation, we propose a novel combination of product lines with multi-level modelling to cover both open and closed variability. Our proposal is backed by a formal theory that guarantees correctness, enables top-down and bottom-up language variability design, and is implemented atop the MetaDepth multi-level modelling tool.

Identity, Community and Belonging in gcc States

2018 ◽  
Vol 6 (4) ◽  
pp. 401-428
Author(s):  
Miriam R. Lowi
Keyword(s):  
Religious Affiliation ◽  
Protective Role ◽  
The Other ◽  
National Project ◽  
Scholarly Literature ◽  
National Community ◽  
The Difference ◽  
Definition Of

Studies of identity and belonging in Gulf monarchies tend to privilege tribal or religious affiliation, if not the protective role of the ruler as paterfamilias. I focus instead on the ubiquitous foreigner and explore ways in which s/he contributes to the definition of national community in contemporary gcc states. Building upon and moving beyond the scholarly literature on imported labor in the Gulf, I suggest that the different ‘categories’ of foreigners impact identity and the consolidation of a community of privilege, in keeping with the national project of ruling families. Furthermore, I argue that the ‘European,’ the non-gcc Arab, and the predominantly Asian (and increasingly African) laborer play similar, but also distinct roles in the delineation of national community: while they are differentially incorporated in ways that protect the ‘nation’ and appease the citizen-subject, varying degrees of marginality reflect Gulf society’s perceptions or aspirations of the difference between itself and ‘the other(s).’

scholarly journals Note on osmotic pressure

1914 ◽  
Vol 90 (615) ◽  
pp. 41-45
Keyword(s):  
Osmotic Pressure ◽  
Vapour Pressure ◽  
Numerical Data ◽  
The Other ◽  
Present Moment ◽  
Capillary Surface ◽  
Pure Solvent ◽  
Definition Of ◽  
Complete Account ◽  
Strict Definition

The vapour pressure theory regards osmotic pressure as the pressure required to produce equilibrium between the pure solvent and the solution. Pressure applied to a solution increases its internal vapour pressure. If the compressed solution be on one aide of a semi-permeable partition and the pure solvent on the other, there is osmotic equilibrium when the com-pression of the solution brings its vapour pressure to equality with that of the solvent. So long ago as 1894 Ramsay* found that with a partition of palladium, permeable to hydrogen but not to nitrogen, the hydrogen pressures on each side tended to equality, notwithstanding the presence of nitrogen under pressure on one side, which it might have been supposed would have resisted tin- transpiration of the hydrogen. The bearing of this experiment on the problem of osmotic pressure was recognised by van’t Hoff, who observes that "it is very instructive as regards the means by which osmotic pressure is produced." But it was not till 1908 that the vapour pressure theory of osmotic pressure was developed on a finu foundation by Calendar. He demonstrated, by the method of the "vapour sieve" piston, the proposition that “any two solutions in equilibrium through any kind of membrane or capillary surface must have the same vapour pressures in respect of each of their constituents which is capable of diffusing through their surface of separation"—a generalisation of great importance for the theory of solutions. Findlay, in his admirable monograph, gives a very complete account of the contending theories of osmotic pressure, a review of which leaves no doubt that at the present moment the vapour pressure theory stands without a serious rival Some confusion of ideas still arises from the want of adherence to a strict definition of osmotic pressure to which numerical data from experimental measurements should he reduced. Tire following definitions appear to be tire outcome of tire vapour pressure theory :— Definition I.—The vapour pressure of a solution is the pressure of the vapour with which it is in equilibrium when under pressure of its own vapour only.

Anatomie, histologie et affinités de l'appareil séricigène des Hersilia Sav. et Aud. (Araneae: Hersiliidae)

1984 ◽  
Vol 62 (1) ◽  
pp. 97-106 ◽  
Author(s):  
Jacqueline Kovoor
Keyword(s):  
Type A ◽  
The Other ◽  
Secretory Cells ◽  
Evolutionary Stage ◽  
Type B ◽  
Outer Coat ◽  
Silk Glands ◽  
Single Protein

Although hersiliid spiders do not spin any webs, their silk glands, which belong to six types, are large and complex. Two groups of ampullate glands, one opening on the anterior spinnerets and the other on the median spinnerets, secrete two proteins each. About 180 pyriform glands are clearly bipartite. Over 200 type A aciniform glands opening on the median and posterior spinnerets are made up of three categories of secretory cells. Silk from these glands consists of two proteins (core and outer coat) joined together by an intermediary layer of acidic glycoprotein. All the 160 type B aciniform glands opening on the posterior spinnerets secrete a single protein. Fifty tubuliform glands opening on the median and posterior spinnerets produce two proteins, one of which is coloured. As in Urocteinae, long posterior spinnerets and large, numerous aciniform and tubuliform glands are correlated with swathing of prey and egg-cocoon construction. In Lycosidae and Agelenidae, the ampullate glands show the same number and distribution according to the spinnerets. However, anatomical and histochemical features of hersiliid aciniform and ampullate glands are close to those of some Araneoidea. Apart from peculiar characteristics, silk glands of Hersilia might represent an intermediate evolutionary stage towards Araneoidea.

Two Commentaries on Euclid's Definition of Proportional Magnitudes

1994 ◽  
Vol 4 (1) ◽  
pp. 181-198 ◽  
Author(s):  
Bijan Vahabzadeh
Keyword(s):  
18Th Century ◽  
The Other ◽  
Identical Manner ◽  
Definition Of

Euclid's definition of proportional magnitudes in the Fifth Book of the Elements gave rise to many commentaries. We examine closely two of these commentaries, one by al-Jayyānī (11th century) and the other by Saunderson (18th century). Both al-Jayyānī and Saunderson attempted to defend Euclid's definition by making explicit what Euclid had only implied. We show that the two authors explain Euclid's position in a virtually identical manner.

Correction to a definition of negation

1984 ◽  
Vol 49 (1) ◽  
pp. 47-50 ◽  
Author(s):  
Frederic B. Fitch
Keyword(s):  
Fixed Point ◽  
Personal Communication ◽  
The Other ◽  
Transfinite Induction ◽  
Original Form ◽  
Basic Logic ◽  
Double Negation ◽  
Original Letter ◽  
The Law ◽  
Definition Of

In [3] a definition of negation was presented for the system K′ of extended basic logic [1], but it has since been shown by Peter Päppinghaus (personal communication) that this definition fails to give rise to the law of double negation as I claimed it did. The purpose of this note is to revise this defective definition in such a way that it clearly does give rise to the law of double negation, as well as to the other negation rules of K′.Although Päppinghaus's original letter to me was dated September 19, 1972, the matter has remained unresolved all this time. Only recently have I seen that there is a simple way to correct the definition. I am of course very grateful to Päppinghaus for pointing out my error in claiming to be able to derive the rule of double negation from the original form of the definition.The corrected definition will, as before, use fixed-point operators to give the effect of the required kind of transfinite induction, but this time a double transfinite induction will be used, somewhat like the double transfinite induction used in [5] to define simultaneously the theorems and antitheorems of system CΓ.

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