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On the number of term orders

Gunter Ritter, Volker Weispfenning
1991 Applicable Algebra in Engineering, Communication and Computing  
We first derive upper and lower bounds on the number of admissible orders on a given set Q in terms of the dimension n and the cardinality of Q.  ...  By an admissible order on a finite subset Q of Q" we mean the restriction to Q of a linear order on Q" compatible with the group structure of Q" and such that N" is contained in the positive cone of the  ...  to T' of term orders on T.  ... 
doi:10.1007/bf01810855 fatcat:23jqeuug3fbdrnsnjt3kahuhem

Sharp bounds on the zeroth-order general Randić index of trees in terms of domination number [article]

Chang Liu, Jianping Li
2021 arXiv   pre-print
The zeroth-order general Randić index of graph G=(V_G,E_G), denoted by ^0R_α(G), is the sum of items (d_v)^α over all vertices v∈ V_G, where α is a pertinently chosen real number.  ...  In this paper, we obtain the sharp upper and lower bounds on ^0R_α of trees with a domination number γ, in intervals α∈(-∞,0)∪(1,∞) and α∈(0,1), respectively.  ...  Acknowledgements The authors would like to express their sincere gratitude to all the referees for their careful reading and insightful suggestions.  ... 
arXiv:2103.15288v1 fatcat:km5bkjkar5dz3hjn56in7kanni

On the average orders of the error term in the Dirichlet divisor problem

Jun Furuya
2005 Journal of Number Theory  
The purpose of this paper is to study the difference between two kinds of mean value formulas of (x), that is, the mean value formulas x 1 (u) k du and n x (n) k with a natural number k.  ...  Let (x) be the error term in the Dirichlet divisor problem.  ...  Acknowledgments The author would like to express his gratitude to Professor Wenguang Zhai for helpful discussions.  ... 
doi:10.1016/j.jnt.2004.07.007 fatcat:of6oyanljfbytgx57jclhkaroq

Asymptotics of the number of eigenvalues of one-term second-order operator equations

Ilyas Hashimoglu
2015 Advances in Difference Equations  
We evaluate the asymptotic number of eigenvalues of the operator L under certain conditions. MSC: 34K08  ...  We study one-term operator L acting in the space H 1 = L 2 ([0, ∞); H) generated by the operator-differential expression L = -d dx (P(x) d dx ) and the boundary condition y(0) = 0.  ...  Acknowledgements I am grateful to the anonymous reviewers for their comments and suggestions, which have helped to improve the quality of this paper.  ... 
doi:10.1186/s13662-015-0675-4 fatcat:bjsp546fcnfqnjn2h5wqw624ma

On the independence number of a graph in terms of order and size

J. Harant, I. Schiermeyer
2001 Discrete Mathematics  
For the independence number (G) of a connected graph G on n vertices with m edges the inequality (G)¿ 1 2 [(2m + n + 1) − (2m + n + 1) 2 − 4n 2 ] is proved and its algorithmic realization is discussed.  ...  For j = 1; 2; : : : ; k MIN and for i ∈ {i j } ∪ N Gj (i j ) let (i) be the number of edges incident on i but not belonging to the edge set of G j .  ...  Hence ÿ(i) = 0 and, therefore, d G (i) = (G) if i ∈ {i 1 } ∪ N G (i 1 ), i.e. the number of neighbours of i in G 2 is exactly the number of non-neighbours of i in {i 1 } ∪ N G (i 1 ).  ... 
doi:10.1016/s0012-365x(00)00298-3 fatcat:b7q6vkd3ifhxjjpog4uqnx3hia


2016 Journal of Algebra Number Theory Advances and Applications  
In this paper, we obtain various basic congruences involving harmonic numbers and the terms of the second order sequence { }.  ...  On Congruences with Second Order Sequence { } n Q In this section, we will investigate certain congruences consisting of harmonic numbers and the terms of the second order sequence { }.   ( ) n Q Lemma  ...  and the terms of the second order sequence { }.  ... 
doi:10.18642/jantaa_7100121629 fatcat:6fnea3x4t5ge7kabcfgrk26bvu

Lower order terms for the one-level density of elliptic curve L-functions

D.K. Huynh, J.P. Keating, N.C. Snaith
2009 Journal of Number Theory  
The lower order terms explain many of the features of the zero statistics for relatively small conductor and model the very slow convergence to the infinite conductor limit.  ...  This gives a formula for the leading and lower order terms up to an error term that is conjectured to be significantly smaller.  ...  This phenomenon has been encountered before, in the study of lower order terms of the number variance [Ber88] and the correlation functions [BK99,BK96a,CS07,CS08,CS] of the Riemann zeros, and in the  ... 
doi:10.1016/j.jnt.2008.12.008 fatcat:7eoulhowqfcrrmakmdxppnjymu

Upper bounds on the domination number of a graph in terms of order, diameter and minimum degree

Beate Küpper, Lutz Volkmann
2006 The Australasian Journal of Combinatorics  
× ÑÔÐ ¸ Ö× ÒØÖ ØÙ × Ê º ÇÔ Öº ½ ´½ µ¸¿¼ ß¿½ º º Ê ¸È Ø ×¸×Ø Ö׸ Ò Ø ÒÙÑ Ö Ø Ö ¸ ÓÑ º ÈÖÓ º ÓÑÔº ´½ µ3 ß¾ º ĺ ÎÓÐ Ñ ÒÒ¸ÍÔÔ Ö ÓÙÒ × ÓÒ Ø ÓÑ Ò Ø ÓÒ ÒÙÑ Ö Ó Ö Ô Ò Ø ÖÑ× Ó Ñ Ø Ö Ò ÖØ ¸Âº ÓÑ Òº Å Ø º ÓÑ Òº  ...  ÍÔÔ Ö ÓÙÒ × ÓÒ Ø ÓÑ Ò Ø ÓÒ ÒÙÑ Ö Ó Ö Ô Ò Ø ÖÑ× Ó ÓÖ Ö¸ Ñ Ø Ö Ò Ñ Ò ÑÙÑ Ö Ø Ã ÙÔÔ Ö Ò ÄÙØÞ ÎÓÐ Ñ ÒÒ Ä Ö×ØÙ Ð ÁÁ ÙÖ Å Ø Ñ Ø ÊÏÌÀ Ò¸ ¾¼ Ò ÊÅ AE ÚÓÐ Ñ Ñ Ø ¾ºÖÛØ ¹ Òº ×ØÖ Ø Ú ÖØ Ü × Ø Ó Ö Ô × ÓÑ Ò Ø Ò × Ø Ú  ... 
dblp:journals/ajc/KupperV06 fatcat:xvktdggf3rhhvcx6z3hfhmn6ae

Monte-Carlo simulation of graphene in terms of occupation numbers for the excitonic order parameter at hexagonal lattice

Oleg Pavlovsky, Anna Sinelnikova, Maxim Ulybyshev
2014 Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)   unpublished
We present the results of the Monte-Carlo simulation of graphene-like statistical model in terms of occupation numbers.  ...  Only antiferromagnetic order parameter was studied at the moment by means of Hybrid Monte-Carlo process on the hexagonal lattice because of the sign problem for excitonic order parameter in fermionic determinant  ...  The eigenstates of particle number operator are also eigenstates of Hubbard and Coulomb terms of Hamiltonian (1.1) but not of the H κ term.  ... 
doi:10.22323/1.187.0047 fatcat:jkyhyqurlbc4bot7gsudttowne

The advantages of communicative methods of teaching foreign languages

Z Baratova
2022 Zamonaviy lingvistik tadqiqotlar: xorijiy tajribalar, istiqbolli izlanishlar va tillarni o'qitishning innovatsion usullari  
interest of students in the process of forming communicative competence.  ...  The article provides a detailed and clear analysis of modern innovations, new information and pedagogical technologies, games, as well as ways to use them to increase the effectiveness of classes and the  ...  The goal of language teaching is to develop what referred to as "communicative competence". This term is coined in order to contrast a communicative view of language and theory of competence.  ... 
doi:10.47689/linguistic-research-vol-iss1-pp252-254 fatcat:ets2hj22pngwxci3gwg6b2kyfi

The role of linguistic schools in language teaching

B Razzaqov
2022 Zamonaviy lingvistik tadqiqotlar: xorijiy tajribalar, istiqbolli izlanishlar va tillarni o'qitishning innovatsion usullari  
A variant of the practical implementation of the main components of the methodological system in the educational complex of exercises and tasks is presented, which allows outline new and effective methods  ...  The article deals with the actual problem of teaching English as a foreign language for students of non-philological universities.  ...  On the one hand, there was a predominance of neogrammatism, and on the other hand, already at the end of the 19th -beginning. 20th century in the works of a number of linguists, provisions appeared that  ... 
doi:10.47689/linguistic-research-vol-iss1-pp271-274 fatcat:fjgkeijqvfe67bi7cuougcxuxu

(2021) Volume 2, Issue 4 Cultural Implications of China Pakistan Economic Corridor (CPEC Authors: Dr. Unsa Jamshed Amar Jahangir Anbrin Khawaja Abstract: This study is an attempt to highlight the cultural implication of CPEC on Pak-China relations, how it will align two nations culturally, and what steps were taken by the governments of two states to bring the people closer. After the establishment of diplomatic relations between Pakistan and China, the cultural aspect of relations between the two states al ...

2021 Journal of Development and Social Sciences  
Currently, it has become the issue of federation and has disturbed the provincial harmony and national integration.  ...  Territorial Integrity and the Lower Riparian and Mediated Strategy of Restricted Integrity.  ...  This situation further led to a number of political and racist movements getting a strong point of interest and added authority to the opinion of the opposition in terms of dams and reservoir/canal projects  ... 
doi:10.47205/jdss.2021(2-iv)74 fatcat:o63evbbvmfghhfbrzetuczvedq

Teaching grammar material by jokes and games

G Mardieva
2022 Zamonaviy lingvistik tadqiqotlar: xorijiy tajribalar, istiqbolli izlanishlar va tillarni o'qitishning innovatsion usullari  
The article is devoted to investigation of the role of jokes and games in teaching English grammar.  ...  At first, theoretical principles of teaching grammar are analyzed, then, recommendation how to teach grammar material by games and jokes are offered.  ...  In terms of length jokes are generally shorter forms of expression than songs. Consequently, exercises made on the basis of jokes will be significantly shorter.  ... 
doi:10.47689/linguistic-research-vol-iss1-pp308-310 fatcat:7pzaafptn5dwnh7fpzvunfd7kq

Methodological recommendations for teaching grammar and improving grammar skills

G Mardieva
2022 Zamonaviy lingvistik tadqiqotlar: xorijiy tajribalar, istiqbolli izlanishlar va tillarni o'qitishning innovatsion usullari  
listed, depending on the learning goals.  ...  ., first, the theoretical validity of the effectiveness of the use of communicative and new pedagogical technologies in explaining new grammatical material is given, and then the ways of their use are  ...  There are a number of reasons why there occur different concepts about "grammar" when one comes across this term.  ... 
doi:10.47689/linguistic-research-vol-iss1-pp292-294 fatcat:r3k3qt4rffgjdngdc7h5zwowpa

History of Philosophy. 2018, Vol. 23, No. 2 TABLE OF CONTENTS Theory and Methodology of History of Philosophy Rodion V. Savinov. Philosophy of Antiquity in Scholasticism This article examines the forms of understanding ancient philosophy in medieval and post-medieval scholasticism. Using the comparative method the author identifies the main approaches to the philosophical heritage of Antiquity, and to the problem of reviving the doctrines of the past. The Patristics (Epiphanius of Cyprus, Filastrius of Brix ...
На пути к возрождению метафизики: С.Л. Франк и Э. Корет

Alexander S. Tsygankov
2018 History of Philosophy  
act as a fundamental one.  ...  Nazarova's book is based on the comparative analysis of Frank's religious philosophy and Coreth's neo-cholastic philosophy from the beginning to the end. This makes the study unique in its own way.  ... 
doi:10.21146/2074-5869-2018-23-2-139-147 fatcat:nli2je6a4rdkzjfvwvlmw6yrzi
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