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1 25 a day has fallen the number living on 1 25 2 00 a day has increased

Báo cáo toán học:

Báo cáo toán học: "The Number of Solutions of X 2 = 0 in Triangular Matrices Over GF" pdf

Báo cáo khoa học

... by 2n, and then replace l by l + n, and finally use the binomial theorem Similarly for A2 n +1 (q) References [K] A. A Kirillov, On the number of solutions to the equation X = in triangular matrices ... odd and r = (n − 1) /2, in which case it is a monomial in q times (1 w) (1+ w) , wr +1 and applying CTw kills it all the same, thanks to the symmetry of the Chu-Pascal triangle Summing the expression ... qEKHAD The input files inZ0, inZ1, inZ2 as well as the corresponding output files, outZ0, outZ1, outZ2 can be obtained by anonymous ftp to ftp.math.temple.edu, directory pub/ekhad/sasha The package...
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The Intelligent Investor: The Definitive Book On Value part 2 ppt

The Intelligent Investor: The Definitive Book On Value part 2 ppt

Đầu tư Chứng khoán

... history, and I was hooked (Today, after the wild bull market of the late 19 90s and the brutal bear market that began in early 20 00, The Intelligent Investor reads more prophetically than ever.) Graham ... first draft of which was finished in January 19 71 At that time the DJIA was in a strong recovery from its 19 70 low of 6 32 and was advancing toward a 19 71 high of 9 51, with attendant general optimism ... its managers into raising the dividend, and came away with $11 0 per share three years later.) Despite a harrowing loss of nearly 70% during the Great Crash of 19 29 19 32, Graham survived and thrived...
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Báo cáo toán học:

Báo cáo toán học: "The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph" potx

Báo cáo khoa học

... 19 92 the electronic journal of combinatorics 15 (20 08), #N28 [3] Donaghey, R.: Alternating permutations and binary increasing trees J Combinatorial Theory Ser A, 18 , 14 1 14 8, 19 75 [4] Foata, ... Thus, the number of 0 1 2 increasing trees on n vertices corresponds two different evaluations of the Tutte polynomial of a complete graph, that is Tn 1 (2, 1) and Tn +1 (1, 1) A similar situation ... r´arrangements et nombres d’Euler C R Acad Sci Paris e Sr A- B, 27 5, A 114 7 A 115 0, 19 72 [5] Foata, D and Strehl, V.: Rearrangements of the symmetric group and enumerative properties of the tangent...
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Đề tài

Đề tài " The number of extensions of a number field with fixed degree and bounded discriminant " docx

Thạc sĩ - Cao học

... too far into the cusp Let a1 ≤ a2 ≤ · · · ≤ an 1 be the successive minima (in the sense of √ Minkowski) of OL Then one has automatically a1 a2 an 1 DL ; however, on account of the assumption ... de Jong and N M Katz, personal communication [10 ] A Granville, ABC allows us to count squarefrees, Internat Math Research Notices 19 (19 98), 9 91 10 09 [11 ] A Kable and A Yukie, On the number of ... that K has no proper subfield, one further has for ≤ j ≤ n − that a1 aj aj +1 (indeed, were this not so, the lattice spanned by a1 , a2 , , aj would be stable under multiplication by a1 , and...
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báo cáo hóa học:

báo cáo hóa học:" The integrated care pathway reduced the number of hospital days by half: a prospective comparative study of patients with acute hip fracture" doc

Hóa học - Dầu khí

... Medical Journal of Australia 19 99, 17 0:59- 62 Page of (page number not for citation purposes) Journal of Orthopaedic Surgery and Research 20 06, 1: 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 ... (3 10 ) (3 10 ) Intra-capsular fracture 29 21 Hemiartroplasty 28 18 80 – 10 0 % 36 35 Osteosynthesis with 60 – 79 % 13 10 < 60 % 11 Mean 84 82 SD (16 .5) (23 .1) 0 .1 Two parallel nails Extra capsular ... implementation of a clinical pathway programme in an acute care general hospital In Singapore International Journal for Quality in Health Care 20 00, 5 ( 12 ):403- 4 12 Choong PFM, Langford AK, Dowsey MM, Santamaoa...
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báo cáo hóa học:

báo cáo hóa học:" Prevalence of visual impairment in relation to the number of ophthalmologists in a given area: a nationwide approach" ppt

Hóa học - Dầu khí

... Unclassified 95% CL OR 95% CL 1. 00 1. 51 na 1. 12 2. 03 1. 00 0. 91 na 0.33 2. 51 2 .10 1. 08 0.96 0.97 1. 11 1.34 1. 34–3 .28 0.79 1. 47 0. 71 1. 32 0.77 1. 21 0.66 1. 86 0. 81 2. 20 1. 40 3.60 0. 91 1.38 0 .28 1. 05 ... 1. 34 1. 82 1. 35 0.87 1. 65 1. 16 1. 39 0.76 1. 47 3.88 0.87 2. 24 0.64 0.64 Na 0 .10 –58 .00 0 .11 –7 .15 0 .13 12 . 01 0 .22 –8.55 0.09–88.38 0 .11 –43.46 0 .24 –7. 52 0 .20 16 .67 0 .16 11 .11 0 .10 –7.45 0 .24 11 .38 0 .23 –5.75 ... 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Germany and the United Kingdom) Pharmacoeconomics 20 06, 24 :19 3 -20 5 OECD: Aging in OECD countries A critical Policy Challenge Social Policy...
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Báo cáo hóa học:

Báo cáo hóa học: " A New Method for Estimating the Number of Harmonic Components in Noise with Application in High Resolution Radar" pdf

Báo cáo khoa học

... Resolution Algorithms 11 79 Autocorrelation matrix eigenvalues Autocorrelation matrix eigenvalues 3.5 2. 5 1. 5 0.5 6 10 11 k 10 11 k (a) (b) Figure 1: Variation of the autocorrelation matrix eigenvalues ... 0 .2 −0.05 10 15 20 −0 .1 25 k (a) k x[m] (b) 1. 4 0.35 Ideal MUSIC 1. 2 0.3 0 .25 New criterion function A 0.8 0.6 0.4 0 .2 0 .15 0 .1 0.05 0 .2 −0.05 10 15 20 25 −0 .1 x[m] (c) (d) Figure 9: Estimation ... Detection rate 11 85 0.6 0.5 0.4 0.6 0.5 0.4 0.3 0.3 0 .2 0 .2 0 .1 0 .1 0 10 15 20 25 30 10 S/N ratio (dB) AIC criterion MDL criterion GDE criterion New criterion 20 25 30 20 25 30 AIC criterion MDL...
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Báo cáo toán học:

Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx

Báo cáo khoa học

... equal M − 1, among the first 2 + integers 2 i + qi − 1, i = 1, 2, , 2 + 1, only 2 can be less or equal 2 Hence there must be an i1 ≤ 2 + with 2 i1 + qi1 − ≥ 2 + Continuing in the same manner ... (x + 1) n n −n, + x − n, + x ; 1 + ; 1 F1 −n − x 1 n−x n+x F1 To the F1 -series we apply the quadratic transformation (see [11 , (3 .2) ]) F1 a 4z , +a a, b a ; z = (1 + z) F1 2 ; 1+ a b + a − ... n) Also here, we write x + m for y everywhere A combination of (3 .11 ) and (3 .25 ) yields (m+n) /2 − m /2 P1 (x; m, n) = 2n 2 i =1 (2x + m /2 + 2i) (x + m /2 + 1) 2n 2 n 1 ×  i =1 m /2 (x + m + 1) 2n−2...
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Báo cáo toán học:

Báo cáo toán học: "A note on the number of (k, )-sum-free sets" potx

Báo cáo khoa học

... gcd (A) , d (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 ... the electronic journal of combinatorics (20 00) , #R30 o odd numbers is (2, 1) -sum-free we have SF n ≥ (n +1) /2 In fact Erd˝s and 2 ,1 n n /2 Cameron [6] conjectured SF 2 ,1 = O (2 ) This conjecture ... proved that in this case SF n +1, = (1 + o (1) )2 (n +1) /2 The case of k being much larger than was treated by Calkin and Taylor [4] They showed that for some constant ck the number of (k, 1) -sum-free...
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Báo cáo toán học:

Báo cáo toán học: "An Asymptotic Expansion for the Number of Permutations with a Certain Number of Inversions" docx

Báo cáo khoa học

... have the asymptotic expansion b(n, k) =6 (2 ) 1/ 2 n−3 /2 e −x /2 − (9x4 − 12 9x2 + 10 2) n! 10 0n 3969x8 − 14 128 2x6 + 13 40865x4 + 9 8000 0n ln19 n − 4579480x2 + 22 59 370 + O as n → ∞, n9 /2 when 2k = ... result Theorem For x2 = x2 (n) ≤ ln n, we have the asymptotic expansion I(n, x) = π 1/ 2 n−3 /2 e −x /2 1 (9x4 − 12 9x2 + 10 2) 10 0n 3969x8 − 14 128 2x6 + 13 40865x4 9 8000 0n ln19 n as n → ∞ − 4579480x2 ... the electronic journal of combinatorics (20 00) , #R50 expansion 2m 2 b(n, k) = 6 (2 ) 1/ 2 n−3 /2 e −x /2 n! ( 2) −q S2q (n)H2q (2 1/ 2 x) 1+ q =1 2m2 +1 +O ln n m+3 /2 n as n → ∞ , (1) when 2k =...
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Báo cáo toán học:

Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx

Báo cáo khoa học

... combinatorics (19 98), #R 11 Table (part 2) : A( R) for maximising R ∈ L(k, n) n\k 10 11 12 10 5J2 [ 32] D10 [1] J10 [0] − − 11 J3 ⊕ 2D4 (486) 4J2 ⊕ D3 ( 32) D 11 [1] J 11 [0] − 12 3J4 [13 824 ] 4J3 [ 12 96] 6J2 [64] ... (3 410 776944) 2J4 ⊕ 3J2 ∗ (9 614 914 56) 2( 2J2 ⊕ D3 ) ∗ (2 411 1 9 12 0) 15 5J3 [ 520 978 314 24 ] 2J4 ⊕ J3 ⊕ D4 ∗ (14 9 927 811 84) 3J5 ∗ [38 914 5 6000 ] 16 4J3 ⊕ D4 ∗ (84 623 05 522 08) 4J4 ∗ [24 83 413 0 329 6] Key (also see ... Reading, Mass., 19 78 [ 12 ] H Minc, Theory of permanents 19 78 -19 81, Linear and Multilinear Algebra 12 :22 7 -26 3, (19 83) [13 ] A Schrijver, Bounds on permanents, and the number of 1- factors and 1- factorizations...
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Báo cáo toán học:

Báo cáo toán học: "On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern" ppt

Báo cáo khoa học

... to contain all k-permutations with substantial probability, has t(k) ∼ (k /2) 2 References [1] Alon, N., and Friedgut, E (19 99) On the number of permutations avoiding a given pattern J Combinatorial ... Combinatorial Theory, Ser A, to appear [2] B´na, M (19 97) Exact and asymptotic enumeration of permutations with subsequence condio tions Ph.D Thesis, M.I.T [3] B´na, M (19 99) The solution of a conjecture ... Consider the concatenation τ of τ with τ as a permutation, τ ∈ Sm+n Clearly, τ avoids σ, establishing (2) [In detail, suppose to the contrary that τ contains σ, say at the k-tuple of positions given...
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Báo cáo toán học:

Báo cáo toán học: "A LOWER BOUND FOR THE NUMBER OF EDGES IN A GRAPH CONTAINING NO TWO CYCLES OF THE SAME LENGTH" pptx

Báo cáo khoa học

... + 11 t 1 + + 19 t 1 + 7t−7 + 21 t i=58 ( 12 6t + 11 i + 893 i =21 t 14 81 (i − 1) + 11 t 1 13t 1 13t 1 15t 1 + + + + + 15 t 1 + 17 t 1 + 17 t 1 2 + 19 t 1 + 19 t 1 + 21 t 1 ) + 22 t+64 (i − 1) i =22 t−798 2 + 23 t +26 7 ... xi xx1 x2 xi,8 i,8 i,8 (19 t 1) /2 (19 1t+3 01) /2+ 9i xi xx1 x2 xi,9 i,9 i,9 (21 t 1) /2 ( 21 1 t+305) /2 +10 i xi xx1 x2 xi ,10 i ,10 i ,10 (t−5 71) /2 (25 1 t +23 57) /2 +11 i xi xx1 x2 xi ,11 i ,11 i ,11 From the construction, ... + 17 t +1 + 17 t +1 2 2 2 t−7 42 + 19 t +1 + 19 t +1 + 21 t +1 + t−5 71+ 2 ) + i= 7t +1 (19 t + 2i + 2) 2 2 + + + + = t−7 42 i= 7t +1 19t+ 7t +1 i =1 7t−7 + 21 t i=58 ( 12 6t + 11 i + 894 i =21 t 14 81 i + + 11 t +1 + 13 t+1...
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Báo cáo toán học:

Báo cáo toán học: "A note on the number of edges guaranteeing a C4 in Eulerian bipartite digraph" pot

Báo cáo khoa học

... C4 contains v ∗ as a vertex, we must have that every w ∈ A appears in at least one of A or A+ (it may appear in both; in particular, v ∗ appears in both A and A+ as there are no antiparallel ... Equality (1) follows from the fact that M3 contains ρ (1 − β)mn cells The equalities in (2) follow from the fact that M1 does not contain 1 entries, has ρβmn cells, and the fact that M1 ∪ M3 has ... ρ (1 − β) the electronic journal of combinatorics (20 01) , #N6 (1) (3) u1 v1 urn urn +1 u2rn un -1 -1 M1 vbm vbm +1 M5 no -1 here M3 M2 M4 no +1 here vm Figure 1: The adjacency matrix M and...
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Báo cáo toán học:

Báo cáo toán học: " ON THE NUMBER OF FULLY PACKED LOOP CONFIGURATIONS WITH A FIXED" pot

Báo cáo khoa học

... 34 11 00 11 00 11 00 11 11 00 00 1 Λ9 11 00 11 00 11 00 11 00 V9 11 00 11 00 11 00 11 00 11 00 11 00 Λ8 11 00 1 11 00 11 00 1 11 00 V8 11 00 11 00 Λ7 11 00 11 00 V7 11 00 11 00 1 11 00 11 00 ... 11 11 00 00o 11 1 000 1 1 1 11 00 1 0 11 11 000 0 o 00 0 11 11 0 00 1o 11 00 11 1 000 11 00 11 00 0o 11 11 000 0 ∆g 1 1 ∆g = Figure 7.9 “Side” groups mentioned above plus an additional one: the pairs ... 11 00 si (X) = down ∆g 11 00 11 00 1 11 00 11 00 11 11 11 11 00 00 00 00 11 11 00o 00 si (X) = si (E) = down si (E) = up 1 2 11 00 11 11 11 00 00 00 11 00 Group g si (E) = down 11 11 00 00 11 ...
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Báo cáo toán học:

Báo cáo toán học: "A Note on the Number of Hamiltonian Paths in Strong Tournaments" ppsx

Báo cáo khoa học

... 3, A ∪ B = V and |A ∩ 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 ... reversing the arc → v1 gives the transitive tournament of order n As noted by Moon [1] , there is a bijection between partitions of V \ {v1 , } and hamiltonian paths that include the arc → v1 , and there ... tonian cycles, with β = ≈ 1. 710 References [1] J W Moon, The Minimum number of spanning paths in a strong tournament, Publ Math Debrecen 19 (19 72) ,10 1 -10 4 [2] C Thomassen, On the number of Hamiltonian...
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Báo cáo toán học:

Báo cáo toán học: "On the number of possible row and column sums of 0,1-matrices" pps

Báo cáo khoa học

... = a Æn +1 |a| =m m H (a0 , , an )q a1 +···+nan a the electronic journal of combinatorics 13 (20 06), #N8 (5) Proof of Theorem We are free to assume n ≤ m We define the function E of the variables ... Applications, Volume 4 12 , Issue 1, January 20 06, Pages 30–38 [2] R H Brualdi and H J Ryser Combinatorial matrix theory Cambridge University Press, 19 91 [3] J H van Lint and R M Wilson A course ... because π is a polynomial in q with constant term Theorem is proved References [1] J Benton, R Snow, and N Wallach A combinatorial problem associated with nonograms, Linear Algebra and its Applications,...
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Báo cáo toán học:

Báo cáo toán học: "The Number of Permutation Binomials Over F4p+1 where p and 4p + 1 are Primes" doc

Báo cáo khoa học

... 73 28 79 12 97 48 12 7 40 13 9 56 16 3 52 19 3 64 19 9 72 N2 0 16 20 24 28 32 36 40 32 72 60 88 N3 0 0 0 0 0 0 0 Total 12 0 384 4896 6888 16 6 32 18 4 32 19 0 32 34560 519 12 623 76 926 64 12 1344 14 1768 Acknowledgments ... and 1+ a = 1, the 1 a equation 2p 1+ a =1 1 a the electronic journal of combinatorics 13 (20 06), #R65 11 has exactly 2p − solutions This equation is equivalent to (1 + a) 2p − (1 − a) 2p = 0, that ... American Mathematical Society 13 4 (20 06), no 1, 15 -22 [2] A Akbary and Q Wang, On some permutation polynomials over finite fields, International Journal of Mathematics and Mathematical Sciences 16 (20 05),...
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Báo cáo toán học:

Báo cáo toán học: "A closed formula for the number of convex permutominoes" pot

Báo cáo khoa học

... Th A 53 (19 90) 18 3 -20 8 [ 12 ] Daurat, A. , Nivat, M.: Salient and reentrant points of discrete sets, Disc Appl Math 15 1 (20 05) 10 6 - 12 1 the electronic journal of combinatorics 14 (20 07), #R57 16 [13 ] ... of the tree is (1) b , which is the label of the one-cell polyomino the electronic journal of combinatorics 14 (20 07), #R57 11 (1) b (1) (2) b (1) r r (2) b (1) r (1) g (2) r (1) r (1) g (2) r (1) r (1) r ... the number of convex polygons on the square and honeycomb lattices, J Phys A: Math Gen 21 (19 88) 26 35 -26 42 [11 ] Conway, J.H., Lagarias, J.C.: Tiling with polyominoes and combinatorial group theory,...
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