Some algorithms for semigroups and monoids presented by a single relation

Author(s):  
Gerard Lallement
Keyword(s):  
1974 ◽  
Vol 32 (2) ◽  
pp. 370-388 ◽  
Author(s):  
Gerard Lallement
Keyword(s):  

2009 ◽  
Vol 36 (9) ◽  
pp. 1539-1543
Author(s):  
Mustafa Göğüş ◽  
A. Cüneyt Gerek ◽  
A. Burcu Altan-Sakarya

Generally, measurement of flow in natural streams is accomplished by measuring the flow depth. Hence, the relationship between the water level and discharge should be obtained in advance. However, in streams with high sediment load, the bottom level may change due to sediment deposition, preventing the single relation between water level and discharge. This paper summarizes the application of a flow-measurement structure for sediment-laden streams. The proposed structure is designed and built in Turkey and has been under operation since 1998 without any sedimentation problem. The agreement between the real data obtained from the structure and the theoretical rating curve is quite reasonable.


Jurnal CMES ◽  
2018 ◽  
Vol 10 (1) ◽  
pp. 42
Author(s):  
Annisa Mutiara Rj, Eva Farhah

This research tries to find the text structure and also the personal and educational values of a children poem by Achmad Syauqi (1868-1932 M) entitled <em>“</em><em>Sulaimān wath-Thāwūs”. </em>The theory used is Michael Riffaterre’s semiotic. It is a discipline which studies system, rules, and conversions which enables to see the meaning of the sign. The method used is descriptive qualitative, which explains data in form of word, phrases, sentences, or expressions in the text. Not only that this research also reveals the personal and educational values of the text. In this case the purpose of this research is <em>first</em>, to explain the poem’s text structure and <em>second</em>, to reveal the personal and educational values as contribution to children poems. It is found that the text structure of <em>“</em><em>Sulaimān wath-Thāwūs” </em> has a single relation between elements so it gives a clear meaning. The personal and educational values given in the text <em>“</em><em>Sulaimān wath-Thāwūs” </em>includes emotional growth, intelligent, imaginations, ethical and religious growth, exploration, language, aesthetic values and reading habit.


Author(s):  
Zhichao Huang ◽  
Xutao Li ◽  
Yunming Ye ◽  
Michael K. Ng

Graph Convolutional Networks (GCNs) have been extensively studied in recent years. Most of existing GCN approaches are designed for the homogenous graphs with a single type of relation. However, heterogeneous graphs of multiple types of relations are also ubiquitous and there is a lack of methodologies to tackle such graphs. Some previous studies address the issue by performing conventional GCN on each single relation and then blending their results. However, as the convolutional kernels neglect the correlations across relations, the strategy is sub-optimal. In this paper, we propose the Multi-Relational Graph Convolutional Network (MR-GCN) framework by developing a novel convolution operator on multi-relational graphs. In particular, our multi-dimension convolution operator extends the graph spectral analysis into the eigen-decomposition of a Laplacian tensor. And the eigen-decomposition is formulated with a generalized tensor product, which can correspond to any unitary transform instead of limited merely to Fourier transform. We conduct comprehensive experiments on four real-world multi-relational graphs to solve the semi-supervised node classification task, and the results show the superiority of MR-GCN against the state-of-the-art competitors.


2015 ◽  
Vol 11 (S315) ◽  
pp. 254-257
Author(s):  
Miroslava Dessauges-Zavadsky ◽  
Michel Zamojski ◽  
Daniel Schaerer ◽  
Françoise Combes ◽  
Eiichi Egami ◽  
...  

AbstractCurrent star-forming galaxies (SFGs) with CO measurements at z ~ 2 suffer from a bias toward high star formation rates (SFR) and high stellar masses (M*). It is yet essential to extend the CO measurements to the more numerous z ~ 2 SFGs with LIR < L⋆ = 4× 1011 L⊙ and M* < 2.5× 1010 M⊙. We have achieved CO, stars, and dust measurements in 8 such sub-L⋆ SFGs with the help of gravitational lensing. Combined with CO-detected galaxies from the literature, we find that the LIR, L′CO(1−0) data are best-fitted with a single relation that favours a universal star formation. This picture emerges because of the enlarged star formation efficiency spread of the current z>1 SFGs sample. We show that this spread is mostly triggered by the combination of redshift, specific SFR, and M*. Finally, we find evidence for a non-universal dust-to-gas ratio (DGR) with a clear trend for a lower DGR mean in z>1 SFGs by a factor of 2 with respect to local galaxies and high-redshift sub-mm galaxies at fixed about solar metallicity.


The reaction CH 3 CH(OH) 2 →CH 3 CHO + H 2 O has been studied kinetically in aqueous acetone using a dilatometric method. It was found to be a first-order reaction, catalyzed by uncharged acids, cation acids, uncharged bases and anion bases. Quantitative measurements were made on the catalytic effect of 63 acids. The results for 32 carboxylic acids and 15 phenols conform approximately to a single relation between catalytic power and dissociation constant in water, but most of the 16 acids of other types show considerable positive or negative deviations from this relation. These deviations are related to the structures of the catalysts, and it is shown that, for acids of equal strength, the velocity of protolytic change is decreased by a mesomeric charge-shift in the anion, and is increased if mesomerism in the acid is lost on ionization. This principle is related to the occurrence of pseudo-acids and bases, and is interpreted in terms of molecular potential energy curves.


Babel ◽  
1998 ◽  
Vol 44 (1) ◽  
pp. 29-45
Author(s):  
Tonia Nenopoulou

Abstract The Modem Greek verbal system lacks the symmetry of the French one between simple and compound tenses. It also lacks an analogue to the double morphological distribution of the French aorist. It is based rather on morphological oppositions of verbal aspect. The superficial similarities between the two systems often obscure their respective principles of organization, and the study of translation offers an excellent methodological tool to achieve the necessary degree of impartiality. The present study of the French translation by L.Farnoux of a Greek novel by R.Galanaki contributes substantially to the elucidation of problems relating to "TIME", here understood as a mediator between myth and reality, as well as between "self and "other". When examining the question of verbal tense in the context of these multiple relationships, rather than in terms of a single relation, it is shown that, whereas the organizing principle of the Modern Greek verbal system is supplied by the pragmatically based "self of the speaker, the corresponding principle of the French system is supplied by an event-based absolute "self. Résumé En grec moderne, la morphologie du système verbal ne connaît pas la symétrie qui existe entre les temps simples et les temps composés en français. Elle ne connaît non plus la double distribution de l'aoriste français. Au contraire, elle est basée sur des oppositions aspectuelles entre les thèmes du présent / aoriste. Il existe entre ces deux systèmes des analogies de surface qui masquent souvent leurs principes d'organisation respectifs. L'étude de la traduction constitue un excellent outil méthodologique pour prendre le recul nécessaire. La présente étude de la traduction française que L. Farnoux a fourni d'un roman de l'auteur grec R. Galanaki, contribue substantiellement à l'élucidation des problèmes liés à la notion de "TEMPS", qui doit être compris ici comme un médiateur entre le mythe et la réalité, ainsi qu'entre le soi-même" et "l'autre". Si l'on situe la problématique de la temporalité dans le contexte de ces relations multiples plutôt qu'au sein d'une relation unique, on constatera que là où en grec moderne le système verbal tire son principe organisateur du "soi-même" pragmatique de l'auteur, il le puise en français dans le "soi-même" absolu, basé sur l'événement.


1997 ◽  
Vol 07 (06) ◽  
pp. 749-770 ◽  
Author(s):  
Guillaume Watier

Let A be an alphabet and u, v two words in A*. We show that the word problem is decidable for the monoid presentation [Formula: see text] if u is unbordered (i.e. non-self-overlapping), u is not a factor of v and |v| ≥ |u|2.


2004 ◽  
Vol 14 (05n06) ◽  
pp. 817-827 ◽  
Author(s):  
M. V. VOLKOV

Straubing deduced from Simon's theorem that monoids of reflexive relations as well as monoids of order preserving extensive transformations generate the pseudovariety of [Formula: see text]-trivial monoids. We refine these results by showing that each pseudovariety in Simon's hierarchy of [Formula: see text]-trivial monoids is generated by a single relation/transformation monoid. From this and from some results by Blanchet–Sadri we obtain a complete solution of the finite basis problem for Straubing's monoids.


2007 ◽  
Vol 72 (1) ◽  
pp. 21-33 ◽  
Author(s):  
M.D. Stafleu

At the law side of the creation, the Philosophy of the Cosmonomic Idea distinguishes between natural laws, values and norms. Natural laws are coercive both for human beings and for any other subject or object. Like natural laws, values or normative principles belong to the creation, being universal and invariable. Both people and associations are subject to values, which they can obey or disobey. Values characterize the relation frames (modal aspects) following the natural ones. Norms are man-made realizations of values, historically and culturally different. Philosophical ethics investigates the normativity of human acts. This paper argues that ethics cannot be related to a single relation frame and that the designation ‘ethical’ or ‘moral’ modal aspect is a misnomer.


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