... Tien / VNU Journal ** of ** Science, Mathematics - Physics 23 (2007) 159-167 163 ** Laws ** ** of ** ** large ** ** numbers ** ** of ** Hsu-Robbins type ** In ** the classical ** probability,** the Hsu - Robbins law ** of ** ** large ** ** numbers ** is studied ... Jajte, A ** non-commutative ** extension ** of ** Hsu - Robbins law ** of ** ** large ** ** numbers,** Bull Polish Sci 30 (1982) 533 [11] Nguyen Van Quang, On the Law ** of ** ** Large ** ** Numbers ** ** of ** Hsu- Robbins type ** in ** Noncommutative ** Probability,** ... strong ** laws ** ** of ** ** large ** ** numbers ** for states and for traces ** of ** a W ∗ algebra, Z W 48 (1979) 177 [2] R Jajte, Strong limit theorems ** in ** ** non-commutative ** ** probability ** Lect Notes Math 1110 Springer, Berlin-Heidelberg-New...

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... 217 from [3], A **(32,** 8, 8) ≥ 1117 from the complement of a lexicographic code C **(32,** 8, 24) (cf [4]), obtaining a ** kissing ** number of A **(32,** ** 32,** ** 32)** A **(32,** 8) + A **(32,** 8, 8)A(8, 2) + A **(32,** 2, 2)A(2, 1) ... A(128, 128, 128)A(128, ** 32)** vectors ± 1128 : A(128, ** 32,** ** 32)** A **(32,** 8) vectors ± **232 ** 096 : A(128, 8, 8)A(8, 2) vectors ± 48 0120 : A(128, 2, 2)A(2, 1) vectors ± 82 0126 : for a total ≥ ≥ ≥ ≥ of · 243 ... alternating group A6 , of sizes ranging from 45 ** to ** 360, whose union forms a constant weight code showing that A(36, 8, 8) ≥ 2385 We take n0 = ** 32,** n1 = 8, n2 = and obtain a ** kissing ** number of A(36, ** 32,** ...

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... adjacent ** in ** G A set of pairwise independent edges of G is called a ** matching ** ** in ** G, while a ** matching ** of maximum cardinality is a maximum ** matching ** The number of edges ** in ** a maximum ** matching ** of G ... called the ** matching ** number of G which we denote by α (G) A perfect ** matching ** ** in ** G is a ** matching ** with the property that every vertex is incident with an edge of the ** matching ** Matchings ** in ** graphs ... Cockayne, R M Dawes, ** and ** S T Hedetniemi, Total ** domination ** ** in ** graphs Networks 10 (1980), 211–219 [4] O Favaron ** and ** M A Henning, Paired ** domination ** ** in ** ** claw-free ** cubic graphs Graphs Combin 20 (2004), 447–456...

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... P intersects the circle k at the points A and B Let M and N be the midpoints of Marko Radovanovi´ : ** Complex ** ** Numbers ** ** in ** ** Geometry ** c 51 the arcs determined by the points A and B If C is the point ... the difﬁculties ** in ** using ** complex ** ** numbers ** is distinguishing the arcs of the cirle Namely, if we deﬁne the midpoint of an arc to be the intersection of the bisector of the corresponding chord with ... surprising at all since the two circles have, ** in ** general, two intersection points Also, ** in ** many of the problems we don’t need both of these points, just the direction of the line determined by...

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... LANGUAGES ** AND ** INTERNATIONAL STUDIES POST – GRADUATE FACULTY ****** NGUYỄN THỊ THỦY TIÊN ** AN ** ** INVESTIGATION ** ** INTO ** ** IDIOMATIC ** ** EXPRESSIONS ** ** CONTAINING ** ** NUMBERS ** ** IN ** ** ENGLISH ** ** AND ** ** VIETNAMESE ** (NGHIÊN CỨU NHỮNG ... ** numbers ** ** in ** the meanings of idioms ** in ** ** English ** ** and ** ** Vietnamese ** To find out the similarities ** and ** differences ** in ** the contribution of ** numbers ** to the meanings of idioms ** in ** ** English ** ** and ** ** Vietnamese ** ** In ** ... connotative meanings of each number ** in ** idioms ** containing ** them ** in ** both ** English ** ** and ** ** Vietnamese ** ** and ** then to make comparison 29 Table 4: The connotative meanings of ** numbers ** ** in ** ** English ** ** and ** Vietnamese...

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... such as **Idiomatic ** ** expressions ** ** containing ** the word “dog” ** in ** ** English ** ** and ** ** Vietnamese** by Tu, Dao Thanh (2007), aimed at studying ** idiomatic ** ** expressions ** ** containing ** the word “dog” ** in ** ** English ** ** and ** compare ... idioms ** Idiomatic ** ** expressions ** ** containing ** ** numbers ** bring about interesting diverse meanings to our utterances ** and ** writings Personally, ** in ** daily life of ** English ** ** and ** ** Vietnamese,** I see that ** numbers ** have ... questions, data collection, analysis framework, data analysis; Chapter 3: Findings ** and ** Discussions • The last part, CONCLUSIONS ** AND ** IMPLICATIONS of the ** study,** includes recapitulation, limitations...

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... Execute Effective Discovery Highlight Value ** In ** ** Your ** ** Sales ** Conversations Be Ready For Multiple Buyers Differentiate Against “Do Nothing” and “Do It Internally” Use Customer Testimonials Give...

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... pupil They welcomed the new couple one by one The people were stnading ** in ** the queue ** in ** twos The miners descended into the pit ** in ** groups of three Read them out 56% _ ₤2.3 ... times four are twelve (informal) three multiplied by four equals twelve (formal) • / 3=3 nine divided by three equals three 14 Dates 30 March 1993 March the thirtieth, nineteen ninety-three the thirtieth ... calculations Common ways of calculating are: • + 2=4 two and two is/are four (informal) two plus two equals four (formal) • - 4=3 four from seven is three (informal) seven minus four equals three (formal)...

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... made gains ** in ** both ** the ** finance/banking industries ** and ** ** in ** ** the ** defence-related public sector Whereas some 125 000 women worked ** in ** finance ** and ** banking institutions ** in ** ** 1975,** ** the ** number increased to ... answer: ** The ** two decades between ** 1975 ** ** and ** ** 1995 ** brought significant changes ** in ** ** the ** representation ** of ** women ** in ** ** Freedonia'** s work force, according to ** the ** ** graphs ** ** In ** ** 1975,** for example, some 300 000 men ** and ** ... 450 000 by ** 1995 ** ** The ** number ** of ** men grew only marginally from 425 000 to 480 000 over ** the ** same period ** In ** defence, ** the ** number ** of ** men declined from 225 000 to 200 000, while ** the ** number ** of ** women rose...

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... control 750 decimal ** 1000 ** ** Most ** ** Common ** ** Words ** ** in ** ** English ** ** Numbers ** 726 ** **** - ** ** 1000 ** ** **** - ** ** Vocabulary ** for ESL EFL TEFL TOEFL TESL ** English ** Learners Rank Word 751 gentle 752 woman 753 captain 754 practice 755 ... tire 493 bring 494 yes 495 distant 496 fill 497 east 498 paint 499 language 500 among 438 ocean 439 warm 489 brought 490 heat ** 1000 ** ** Most ** ** Common ** ** Words ** ** in ** ** English ** ** Numbers ** 501 ** **** - ** 725 ** **** - ** ** Vocabulary ** ... ** 1000 ** ** Most ** ** Common ** ** Words ** ** in ** ** English ** ** **** - ** ** Numbers ** 251 ** **** - ** 500 ** Vocabulary ** for ESL EFL TEFL TOEFL TESL ** English ** Learners Rank Word 251 open 252 seem 253 together 254 next 255 white 256 children 257 begin...

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... Annals ** of ** Mathematics, 165 (2007), 547–565 ** On ** ** the ** ** complexity ** ** of ** ** algebraic ** ** numbers ** I ** Expansions ** ** in ** ** integer ** ** bases ** By Boris Adamczewski and Yann Bugeaud Abstract Let b ≥ be an ** integer ** We prove that ** the ** ... expansion ** of ** ** algebraic ** ** numbers ** For b-ary ** expansions ** with b ≥ 3, we obtain a similar result as ** in ** Theorem 3, but an additional assumption is needed Theorem Let b ≥ be an ** integer ** ** The ** b-ary expansion ** of ** ... thanks to ** the ** greedy algorithm: we then get ** the ** β-expansion ** of ** ξ, introduced by R´nyi e [32] Using Theorem 5, we easily see that ** the ** conclusions ** of ** Theorems to remain true with ** the ** expansion ** in ** base...

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