scholarly journals On Strongly Sum Difference Quotient Labeling of One-Point Union of Graphs, Chain and Corona Graphs

2015 ◽  
Vol 61 (1) ◽  
pp. 101-108
Author(s):  
A.D. Akwu
Keyword(s):  
Difference Quotient ◽  
Chain Graph ◽  
Quotient Graph ◽  
The Third ◽  
A Chain ◽  
Corona Product ◽  
Corona Graphs

Abstract In this paper we study strongly sum difference quotient labeling of some graphs that result from three different constructions. The first construction produces one- point union of graphs. The second construction produces chain graph, i.e., a concatenation of graphs. A chain graph will be strongly sum difference quotient graph if any graph in the chain, accepts strongly sum difference quotient labeling. The third construction is the corona product; strongly sum difference quotient labeling of corona graph is obtained.

scholarly journals METAPHASE I ORIENTATION OF CHAIN-FORMING INTERCHANGE QUADRIVALENTS: A THEORETICAL CONSIDERATION

Genetics ◽  
1984 ◽  
Vol 108 (3) ◽  
pp. 707-718
Author(s):  
Prasad R K Koduru
Keyword(s):  
Pearl Millet ◽  
Theoretical Consideration ◽  
Pennisetum Americanum ◽  
Orientation Behavior ◽  
The Third ◽  
A Chain ◽  
Metaphase I

ABSTRACT The orientation behavior of chain forming interchange quadrivalents at metaphase I was studied in three interchange heterozygotes of pearl millet [Pennisetum americanum (L.) Leeke] which involve chromosomes 1, 3, 6 and 7 in various combinations. Of these, two combinations predominantly produced rings and the third was a chain-forming type. The chain quadrivalents derived from the two ring-forming interchanges, as well as the chain quadrivalent generated by the third interchange, all showed one adjacent orientation at metaphase I (adjacent-1 or -2, depending upon the formation or failure of chiasmata and their positions in the different segments of the pachytene cross). Homologous centromere co-orientation leading to adjacent-1 and alternate-1 occurs following chiasma failure in the noncentric arms of the pachytene cross, and nonhomologous centromere co-orientation leading to adjacent-2 and alternate-2 occurs following chiasma failure in the centric arms of the pachytene cross. Thus, it has been proposed that, unlike in ring quadrivalents, a specific chain quadrivalent will have only homologous or nonhomologous centromere co-orientations at metaphase I.

Oligosiloxanediols as building blocks for supramolecular chemistry: hydrogen-bonded adducts with amines form supramolecular structures in zero, one and two dimensions

2000 ◽  
Vol 56 (2) ◽  
pp. 273-286 ◽  
Author(s):  
Brian O'Leary ◽  
Trevor R. Spalding ◽  
George Ferguson ◽  
Christopher Glidewell
Keyword(s):  
Hydrogen Bonds ◽  
Supramolecular Chemistry ◽  
Building Blocks ◽  
Two Dimensions ◽  
Supramolecular Structures ◽  
Structural Motif ◽  
Two Dimensional ◽  
The Third ◽  
A Chain ◽  
Hydrogen Bonded

The structure of 1,1,3,3,5,5-hexaphenyltrisiloxane-1,5-diol–pyrazine (4/1), (C36H32O4Si3)4·C4H4N2 (1), contains finite centrosymmetric aggregates; the diol units form dimers, by means of O—H...O hydrogen bonds, and pairs of such dimers are linked to the pyrazine by means of O—H...N hydrogen bonds. In 1,1,3,3,5,5-hexaphenyltrisiloxane-1,5-diol–pyridine (2/3), (C36H32O4Si3)2·(C5H5N)3 (2), the diol units are linked into centrosymmetric pairs by means of disordered O—H...O hydrogen bonds: two of the three pyridine molecules are linked to the diol dimer by means of ordered O—H...N hydrogen bonds, while the third pyridine unit, which is disordered across a centre of inversion, links the diol dimers into a C 3 3(9) chain by means of O—H...N and C—H...O hydrogen bonds. In 1,1,3,3-tetraphenyldisiloxane-1,3-diol–hexamethylenetetramine (1/1), (C24H22O3Si2)·C6H12N4 (3), the diol acts as a double donor and the hexamethylenetetramine acts as a double acceptor in ordered O—H...N hydrogen bonds and the structure consists of C 2 2(10) chains of alternating diol and amine units. In 1,1,3,3-tetraphenyldisiloxane-1,3-diol–2,2′-bipyridyl (1/1), C24H22O3Si2·C10H8N2 (4), there are two independent diol molecules, both lying across centres of inversion and therefore both containing linear Si—O—Si groups: each diol acts as a double donor of hydrogen bonds and the unique 2,2′-bipyridyl molecule acts as a double acceptor, thus forming C 2 2(11) chains of alternating diol and amine units. The structural motif in 1,1,3,3-tetraphenyldisiloxane-1,3-diol–pyrazine (2/1), (C24H22O3Si2)2·C4H4N2 (5), is a chain-of-rings: pairs of diol molecules are linked by O—H...O hydrogen bonds into centrosymmetric R 2 2(12) dimers and these dimers are linked into C 2 2(13) chains by means of O—H...N hydrogen bonds to the pyrazine units. 1,1,3,3-Tetraphenyldisiloxane-1,3-diol–pyridine (1/1), C24H22O3Si2·C5H5N (6), and 1,1,3,3-tetraphenyldisiloxane-1,3-diol–pyrimidine (1/1), C24H22O3Si2·C4H4N2 (7), are isomorphous: in each compound the amine unit is disordered across a centre of inversion. The diol molecules form C(6) chains, by means of disordered O—H...O hydrogen bonds, and these chains are linked into two-dimensional nets built from R 6 6(26) rings, by a combination of O—H...N and C—H...O hydrogen bonds.

Oxidation Dynamics of a Chain of Aluminum Nanoparticles

2013 ◽  
Vol 1521 ◽  
Author(s):  
Adarsh Shekhar ◽  
Weiqiang Wang ◽  
Richard Clark ◽  
Rajiv K. Kalia ◽  
Aiichiro Nakano ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Pure Aluminum ◽  
Aluminum Nanoparticles ◽  
Oxidation Reactions ◽  
The Third ◽  
The Core ◽  
Burning Behavior ◽  
A Chain ◽  
Dynamics Simulations ◽  
Exothermic Oxidation

ABSTRACTMultimillion-atom molecular dynamics simulations are used to investigate burning behavior of a chain of three alumina-coated aluminum nanoparticles (ANPs), where particles one and three are heated above the melting temperature of pure aluminum. The mode and mechanism behind the heat and mass transfer from the hot ANPs (particles one and three) to the middle, cold ANP (particle two) are studied. The hot nanoparticles oxidize first, after which hot Al atoms penetrate into the cold nanoparticle. It is also found that due to the penetration of hot Al atoms, the cold nanoparticle oxidizes at a faster rate than in the initially heated nanoparticles. The calculated speed of penetration is found to be 54 m/s, which is within the range of experimentally measured flame propagation rates. As the atoms penetrate into the central ANP, they maintain their relative positions. The atoms from the shell of the central ANP form the first layer, which is followed by the atoms from the shell of the outer ANP making the second layer and lastly the atoms from the core of the outer ANPs form the third layer. In addition to heating the central ANP by convection, the ejected hot Al atoms from the outer ANPs initiate exothermic oxidation reactions inside the central ANP, leading to further heating within the central ANP. During 1 ns, all three ANPs fuse together, forming a single ellipsoidal aggregate.

Prenegotiation Development of Optimism in Intractable Conflict

2015 ◽  
Vol 20 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Dean G. Pruitt
Keyword(s):  
The Other ◽  
Third Party ◽  
Case Material ◽  
Face To Face ◽  
Intractable Conflict ◽  
The Third ◽  
A Chain ◽  
The Impact ◽  
Psychological Experiments

Except when there is substantial third-party pressure for settlement, participants in intractable conflict will only enter negotiation if they are motivated to end the conflict and optimistic about negotiation’s chances of success. The sources of such optimism are explored using case material from three intractable interethnic conflicts that were ultimately resolved by negotiation. In all three cases, optimism developed during prenegotiation communication between the parties. Also there were two main channels of communication, each channel providing credibility to the other and serving as a back-up if the other failed. In two of the cases the communication was face-to-face and friendly, but in the third it was distant and mediated by a chain of two intermediaries. A possible reason for this difference is that the parties were positively interdependent in the first two cases but not in the third. The paper concludes with a summary of three psychological experiments that demonstrate the impact of positive vs. negative interdependence.

Finding a chain graph in a bipartite permutation graph

2016 ◽  
Vol 116 (9) ◽  
pp. 569-573 ◽  
Author(s):  
Masashi Kiyomi ◽  
Yota Otachi
Keyword(s):  
Chain Graph ◽  
Permutation Graph ◽  
A Chain

A novel graph invariant: The third leap Zagreb index under several graph operations

2019 ◽  
Vol 11 (05) ◽  
pp. 1950054 ◽  
Author(s):  
Durbar Maji ◽  
Ganesh Ghorai
Keyword(s):  
Tensor Product ◽  
Cartesian Product ◽  
Lexicographic Product ◽  
Graph Invariant ◽  
Zagreb Index ◽  
Zagreb Indices ◽  
The Third ◽  
Graph Operations ◽  
Strong Product ◽  
Corona Product

The third leap Zagreb index of a graph [Formula: see text] is denoted as [Formula: see text] and is defined as [Formula: see text], where [Formula: see text] and [Formula: see text] are the 2-distance degree and the degree of the vertex [Formula: see text] in [Formula: see text], respectively. The first, second and third leap Zagreb indices were introduced by Naji et al. [A. M. Naji, N. D. Soner and I. Gutman, On leap Zagreb indices of graphs, Commun. Combin. Optim. 2(2) (2017) 99–117] in 2017. In this paper, the behavior of the third leap Zagreb index under several graph operations like the Cartesian product, Corona product, neighborhood Corona product, lexicographic product, strong product, tensor product, symmetric difference and disjunction of two graphs is studied.

Quelques problèmes théologiques discutés par Gilles d'Orléans et la censure de 1277

1998 ◽  
Vol 3 ◽  
pp. 87-98
Author(s):  
Zdzisław Kuksewicz
Keyword(s):  
World History ◽  
Thomas Aquinas ◽  
Negative Answer ◽  
Orthodox Christian ◽  
The Third ◽  
Christian Understanding ◽  
A Chain

Abstract Giles of Orleans' philosophy evolved from an orthodox Christian interpretation of Aristotle to an Averroism; and his successive commentaries testify to this evolution: De generatione version I, De generatione version II, Physics version I and Physics version II. The first work presents orthodox Christian solutions, the second and the third testify to some Averroistic influences and the last is a clearly Averroistic commentary. Giles did not obey the regulation of 1272 which forbade the masters of the facilitas artium to discuss theological problems. De generatione I discusses the question of world history as a chain of eternal reversions and solves it according to Christian orthodoxy. De generatione II and Physics I put forward the question whether accidents can exist without substance. The first work cites amply the Aristotelian solution and tries to reconcile it with a Christian understanding of the problem, whereas the second commentary accepts the opinion of Thomas Aquinas. In De generatione II and Physics II, Giles inquires whether an annihilated substance can reappear. The first commentary cites <Aristotelian> arguments for the negative answer, but it also gives a short declaratio fidei. The second commentary cites an <Aristotelian> and an orthodox solution, stating that one can solve the problem on two different planes - Christian or philosophical, both offering a different solution and unable to be reconciled. All three questions are listed in Tempier's Condemnation of 1277 - propositions 92, 196 and 215 - censuring heterodox answers.

scholarly journals VOTIC-INGRIAN CONVERGENCE AND INTRA-IDIOLECTAL CONTINUUM (A CASE STUDY OF A CHAIN RUNE)

2021 ◽  
Vol 40 (1) ◽  
pp. 61-76
Author(s):  
Rozhanskiy Fedor I. ◽  
◽  
Keyword(s):  
Head Noun ◽  
Speech Sample ◽  
The Third ◽  
Languages In Contact ◽  
A Chain ◽  
The Village ◽  
Genitive Case

This paper analyses different variants of the Votic chain rune Kuza piippu? “Where is the pipe?” in the context of Votic-Ingrian convergent processes. The main focus is made on the alternation between the lexemes “granary” and “fence”, and the structure of postpositional phrases containing these lexemes. The analysis is based on 13 variants of the rune published by several researchers, and three variants of the same rune recorded by the author in the village of Luuditsa of the Kingisepp region. In different variants of Kuza piippu?, three lexemes alternate within the same line: ratiz ‘granary’, aitta ‘granary’, and aita ‘fence’. The paper concludes that the first variant is the original Votic lexeme meaning ‘granary’, the second one is an Ingrian word that was not fully adopted by Votic, and the third variant emerged as a substitution of the unfamiliar Ingrian word with the phonetically closest Votic word. The Ingrian influence is observed also in the postpositional phrase with the discussed lexemes (‘under the granary ~ fence’). In the earlier versions of the rune, one finds the postposition alla ‘under’ as a separate word. In more recent variants, the head noun and postposition are usually written together as one word, with a formative n between them. This n is the Ingrian marker of the genitive case that was later re-analyzed as the initial consonant of the postposition (alla > nalla). The research has revealed that even in the variants recorded from the same speaker, the combination of Votic and Ingrian elements is almost arbitrary. The Votic-Ingrian ratio is not as much a characteristic of the idiolect, but rather a characteristic of a particular text. Therefore, the idiolect cannot be considered as a minimal sociolinguistic object. The author introduces the notion of “variolect” as a language variant with a particular ratio of languages in contact that characterizes a given speech sample. The mixing of Votic and Ingrian in the western Votic villages is a vivid example of iterative convergence. The Lower Luga Ingrian that emerged as a convergent variety on the basis of several Finnic languages (Ingrian and Votic, most of all), gives birth to new contact varieties when acquired by Votic speakers.

Hryhoriy Bondarenko and His School

2021 ◽  
Vol 2021 (02) ◽  
pp. 123-134
Author(s):  
O. Shylo ◽  
Keyword(s):  
Picture Plane ◽  
Creative Activity ◽  
Artistic Practice ◽  
The Third ◽  
Graphic Artist ◽  
Art Form ◽  
A Chain ◽  
The One ◽  
The 19Th Century ◽  
New Tradition

Through his work and pedagogical activity, an outstanding Kharkiv graphic artist, professor of Kharkiv Art Institute Hryhoriy Bondarenko connected today’s artistic practice with the great traditions of art, to which he belonged. In the 1910s, H. Bondarenko studied at the Odessa Art School, with K. Kostandi; in 1915–1917 – at the Academy of Arts; and in 1923–1927 at Leningrad VKhUTEIN with K. S. Petrov-Vodkin and V. M. Konashevich. A chain of artistic tradition was formed in VKhUTEIN: K. Petrov-Vodkin – V. Serov – I. Repin – P. Chistyakov. With his pedagogical activity Chistyakov poses the problem of the creative method, and Repin – of the art form. Serov approaches its solution in the idea of projection drawing. Petrov-Vodkin supplemented it with an understanding of picture plane as space. Bondarenko synthesized all these aspects. His creative method is considered on the example of a number of his graphic works. It is based on three main points. The first is a double understanding of the picture plane on which the image is made. It is thought of, on the one hand, as a projection plane and, on the other hand, as space. The second is a combination of projections. The third is the understanding of the image as a way of processing the surface of the sheet. Among the students of H. Bondarenko, perceived this creative method, there were such well-known masters as V. Kulikov, V. Lenchin, V. Nenado. Each of them developed those aspects of the method that were organic to them. The universality, harmony and consistency of the analyzed creative method are shown in the article. It is based on a holistic worldview. Two great traditions, the successor, contemporary and continuer of which he was, merged together in H. Bondarenko’s creative activity and pedagogical work: the classical art of the 19th century, and new art of the 20th century, which itself has become a new classic and a new tradition.

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