... of rain, roaring of rivers across the plain • Richard gave Robin a rap in the ribs for roasting his rabbit so rare • Strawberries, raspberries and redcurrants with real cream are really refreshing ... Dutch too much • The child watched his teacher and fetched him the chalk • Charles and Richard chewed cheese and chewed gum • Charles isa cheerful chicken-farmer He chuckles at the chance Ofa choice ... jackets are watching the jaguar in the cage • It was a joy for Jack and George, the German boys, to cross the large bridge before entering the village Tongue twisters - The letter „r“ • Reading...
... to half a bag of rice” = “chúng n a bao gạo” Thông thường bạn nói số lượng vật/ đồ vật bị giảm, bạn liệt kê như: Now it’s down to just me, Claire, and Maria - Hiện tôi, Claire Maria Lưu ý sử ... Với viết Daily English Speaking Lesson này, cho hiểu ro cách sử dụng " is down to " giao tiếp thường ngày Hãy xem thực hành cho ! “We’re down to only people now.” Công ty bạn v a gặp phải chút ... bạn bị sa thải Và có bạn, sếp bạn nhân viên Bạn nói chuyện với bạn tình “We’re down to only people now” (something) is down to (a numberof something) Khi có nhiều từng, bạn dùng cụm “down to ”...
... establishment, managerial organization and operation, reorganization and dissolution of enterprises Allens Arthur Robinson footnote: Square brackets contain translator's comments only Allens Arthur ... obligations, and an organizational structure of management and operation consistent with the form of organization of an enterprise as stipulated in the Law on Enterprises, relevant laws and the ... establishment, managerial organization and operation of enterprises, except for the cases stipulated in clauses and of this article In a case where an international treaty of which the Socialist...
... childhood Aa large numberof B a great deal of C a few D many 28) Peter has spent time and money on stamp collecting Aa few of B many of C a great deal of D a large numberof 29) I have got money ... 37) Thank you very for your help A many B much C a lot of D little 38) He is very rich He has money in the bank Aa great deal of B many C a large numberof D few 39) She put too sugar ... a few 47) of the students are good today A Most B Much C A little D Very 48) There were too different nationalities in my class and we had to speak English Aa lot of B much C some D many...
... (A) = d (A − A) , Λ (A) = maxA − minA, Λ (A) = Λ (A) /d (A) Furthermore, let κ (A) = Λ (A) − , |A| − θ (A) = max (A) , Λ (A) T (A) = ( |A| − 2)( κ (A) + − κ (A) ) + and hA = {a1 + · · · + ah : a1 , , ah ... , ah ∈ A} For a specified set A, we simply write d, d , Λ, etc Our approach is based ona remarkable result of Lev [7] Using an a ne transformation of variables his theorem can be stated as follows ... numberof positive integers m ≤ r relatively prime to x and let ϕ(x) abbreviate ϕx (x) For a finite set Aof integers A define: the electronic journal of combinatorics (2000), #R30 d (A) = gcd (A) ,...
... must have that every w ∈ A appears in at least one ofA or A+ (it may appear in both; in particular, v ∗ appears in both A and A+ as there are no antiparallel edges) Hence, A ∪ A+ = A Thus, at ... an Eulerian bipartite digraph We may assume that G does not contain antiparallel edges, since otherwise G has a directed cycle of length and we are done the electronic journal of combinatorics ... graph is very dense, the extreme case being an acyclic orientation ofa complete bipartite graph) The most interesting and natural constraint is the requirement that the digraph be Eulerian, namely,...
... external link of Qn is part ofa polygon The FPL configuration in Figure 1.2 is in fact a configuration with periodic boundary conditions Every FPL configuration defines in a natural way a (non-crossing) ... FPL configurations inside this triangular region is indeed equal to the numberof FPL configurations with associated matching X (that is, FPL configurations on the square Qd with associated matching ... as associated matching is polynomial in m In fact, the complete statement is even more precise It makes use of the fact that to any matching X one can associate a Ferrers diagram λ(X) in a natural...
... there isa unique hamiltonian path of T that avoids this arc Hence, there are 2n−2 + distinct hamiltonian paths in a nearly transitive tournament of order n Lemma Let T be a strong tournament of order ... ∩ B| = Let {v} = A ∩ B, and let HA = P1 vP2 be a hamiltonian path of T [A] , and HB = Q1 vQ2 a hamiltonian path of T [B] We apply Lemma twice, and obtain paths R1 and R2 such that V (Ri ) = V (Pi ... Then C and V \ {x1 , x2 } satisfy the lemma Next, assume that T contains a vertex v such that T − v is not strong and that no sets A and B satisfy the lemma Let t be the numberof strong components...
... j The numberof matchings in a tree In this section, we turn to the numberof matchings in a graph This is also known as the Hosoya index, or the Z-index in mathematical chemistry For a rooted ... to as n tends to infinity In the same paper, Wagner [5] proposed a weaker version of Conjecture Let C(m) = {i(T ) (mod m) : T a tree } Conjecture ([5]) For m ∈ N, C(m) = Zm The aim of this paper ... Proposition 7, (1, a) ⊙ (−1, 1) = (1, a − 1) ∈ B Repeating the operation with (−1, 1), we have (1, a) ∈ B for all a Moreover, (0, 1) ⊙ (1, a) = (0, a) is in B for all a as well Suppose for a fixed...
... Math 37 (2007), 1541– 1550 [12] W.D Gao, A Geroldinger and Q.H Wang, A quantitative aspect of non-unique factorizations: the Narkiewicz constants, International Journal ofNumber Theory, to appear ... and Analytic Theory, Pure and Applied Mathematics, vol 278, Chapman & Hall/CRC, 2006 [15] A Geroldinger, Additive group theory and non-unique factorizations, Combinatorial Number Theory and Additive ... induction hypothesis that Sb−1 contains exactly r minimal zero-sum subsequences, which isa contradiction This proves Claim A Choose a term c in T1 but not in T2 By Claim A, we have that c is in another...
... best non-invasive technique for the diagnosis of CVT which is considered as a gold standard and can replace invasive conventional cerebral angiography and is used as a leading mean of diagnosis ... on rick factor protein S Investigation on risk factor protein C Investigation on ATIII risk factor Investigation on V Leiden risk factor Investigation on blood D-dimer concentration Chapter - ... cases) of all patients had images of brain parenchymal injuries on the magnetic resonance images and this author compared the percent 17 of patients with thrombisis on groups of patients Among...
... Local Area Network NASDAQ : National Association of Securities Dealers Automated Quotation System NASSCOM : National Association of Software and Services Companies NEC : Nippon Electric Company ... local market, we are aiming to reach a vast numberof SOEs and SMEs, multi-national companies, government agencies, ministries and international and non-profit organizations operating in Vietnam ... work out some solutions to first maintain and make use of these factors and then to promote the Vietnam software status in the international arena LIST OF ABBREVIATIONS AIC : Advancing Technologies...
... in particular and with our American friends in general II.2.2 Racial discrimination Racial discrimination is as old as American history since the first black African slaves came to America over ... the American society, there are many races such as white, black or African-American, American Indian or Alaska native, Asian, native Hawaiian, other Pacific Islander and ethnic groups due to immigrations ... beautiful, like a person, Falling action Resolution As seen from the diagram, the climax is drawn from anumberof rising actions and after the climax come a falling action which perform a lead...
... the researchto collect data from a great numberof participants The data themselves were more amenable to qualification as well as qualification 44 Finally, the study method of class observations ... prepare for the official questionnaire administration According to Dornyei (2003), a well-designed questionnaire and a well-prepared administration situation in advance can help the researcher achieve ... second feature is experiential property In contrast, with analytic factor, experiential feature is global and non-analytic Learners are invited to use language for a purpose that isto focus on...
... form aminoacyl-tRNA In the aminoacylation reaction of class I aaRSs with aminoacyl-AMP, the 2¢-OH group of the ribose of A7 6 tRNA attacks the carbonyl carbon atom of the –Ca–(CO)–O– moiety of aminoacyl-AMP ... planes was about 25° In particular, Od1 of the carbamoyl group of Asn87 is positioned far out of the base plane Large values of average B-factor of resi- Modeling of tRNA-assisted mechanism on ... reaction and a model of the tRNA-assisted pyrophosphorolysis reaction of Arg-AMP at low pH Modeling of the ArgRS-catalyzed deacylation of ArgtRNA at high pH has also been performed on the basis...
... can have at most one such maximal abelian ∗ -subalgebra A ⊂ M , up to unitary conjugacy Moreover, we prove that if A ⊂ M satisfies these conditions then Ais automatically a Cartan subalgebra of ... proportional to the Betti numbers As an application of this subfactor analysis, we show that the non-Γ factor L(Z2 SL(2, Z)) has two nonconjugate period 2-automorphims We also discuss invariants that can ... inclusions and use [PoSh] to show that if a type II1 factor M has the property H relative toa maximal abelian subalgebra A ⊂ M then Aisa Cartan subalgebra of M In Section we define a notion of...
... became an irrational idiot, explaining to her certain matters of physiology that had to with aortas and aneurismal sacs He had finished before the absurdity of the situation dawned upon him, and ... than he No man had lived nearer it It had been a passion with him Full of dreams, and always with anticipations ahead, no matter how far short realizations fell, he was an optimist, a lover of ... heard Father Layonne's voice It seemed a great distance off, but it was very clear Doctor Cardigan had made an error, it was saying And Doctor Cardigan, because of that error, was like a man whose...