Báo cáo toán học: "Self-describing sequences and the Catalan family tree" pps

... nonempty and closed sub- sets of B X such that lim n à(A n ) = 0, the set A = n=1 A n is nonempty and convex. (iv) The measure à satises the Cantor property in X. Proof. The equivalence of (i) and ... subsets of the bounded and convex set coC, then à(C n ) = 0 (n ∈ N), and therefore C ∞ = ∅. Appealing again to the ˇ Smulian theorem [6, Theorem V.6.2] we find t...

Ngày tải lên: 20/06/2014, 20:20

... time- domain order-distributions and the Laplace-domain logarithmic operator. This paper has presented a theory of Laplace-domain logarithmic operators. The motivation is the appeara nce of logarithmic ... demonstrates that the ln(s) operator appears frequently. The next section will review the necessary results from fractional calculus and the theory of order-d...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 10:20

... class="bi x0 y0 w1 h 3" alt =""

Ngày tải lên: 05/08/2014, 15:20

... class="bi x0 y2 w5 h 2" alt =" "

Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... [8]. 5OpenProblems The concepts of stapled sequences and stapling coverings introduced and discussed above lead to some unsolved problems, as follows. 1. What is the exact relationship of cutoff and expense? Can ... fact, as shown below, stapling coverings exist for all N ≥ 17. 4 Efficient Stapling Coverings An interesting characteristic of stapling covering is the ra...

Ngày tải lên: 07/08/2014, 06:20

... 2-matroids Let Q 1 and Q 2 be 2-matroids. When Q 1 and Q 2 have the same ground-set and skew classes we shall use Q 1 + Q 2 to denote the parity system which is the sum of Q 1 and Q 2 . When Q 1 and Q 2 have ... since r 1 (A) ≤ r t 1 (A) ≤ r 1 (A) + 1 and r 1 (A) ≤ r ˜ t 1 (A) ≤ r 1 (A) + 1. Parity Systems and the Delta-Matroid Intersection Problem Andr´e Bouc...

Ngày tải lên: 07/08/2014, 06:20

... trees, and therefore a unique bijection between tournament sequences and Meeussen sequences which respects the ideas of extending or truncating a sequence. To better understand Meeussen sequences, ... Wouter Meeussen [private communication, 1999], and we here name sequences with this property Meeussen sequences in his honor. Part of their definition is similar to that of...

Ngày tải lên: 07/08/2014, 06:20

... asymptotic formula for f nk from theorem 1.1, together with standard results from random matrix theory relating the behavior of the eigenvalues of random unitary matrices to the behavior of the eigenvalues of ... restricted increasing subsequence length. Section 1 states and proves the connection between the classical increasing sub- sequence problem and the unitary gr...

Ngày tải lên: 07/08/2014, 06:22

... between the self-describing sequences and the Catalan family tree. Theorem 2. The full names of the members of the Catalan family are precisely the self- describing sequences. In other words, they ... proof of Theorem 3 and the reason is that there is an important difference in the distribution of labels in the Catalan family tree and the tree of the...

Ngày tải lên: 07/08/2014, 07:21

... #R18 4 Monomial nonnegativity and the Bruhat order Brian Drake, Sean Gerrish, Mark Skandera Dept. of Mathematics, Brandeis University MS 050, P.O. Box 9110, Waltham, MA 02454 bdrake@math.brandeis.edu Dept. ... that the coefficient of m 1 s in the monomial expansion of h h à is negative. the electronic journal of combinatorics 11(2) (2005), #R18 3 Note that the ratio of...

Ngày tải lên: 07/08/2014, 08:22

... alternations either with blocks of the form π (k, + ) for  + >or of the form π (k, − ) for  − <, and horizontal alternations with blocks of the form π (k + ,) for k + >kor of the form π (k − ,) for ... than the nth Fibonacci number for some n .The definition of sub-2 n−1 is analogous. the electronic journal of combinatorics 13 (2006), #R54 9 Grid c...

Ngày tải lên: 07/08/2014, 13:21

... Furthermore, the cycle structure is obviously preserved. The seven patterns involved the above theorem share the property that they are equidistributed with the non-cyclic occurrences. Let Π(p) denote the ... unique pair of N and S steps. (The rightmost N step to the left of the F step ending at the F step’s level is paired with the leftmost S step to the right of th...

Ngày tải lên: 07/08/2014, 13:21

... circuits and G is not ordinary. ✷ Theorem 4.3 If neither G[X] nor G[X] is bipartite, then G is not ordinary. Proof: By hypothesis, b(G) + p(G) ≥ 2, and so the result follows from Theorem 2.3. ✷ The ... 1-factors.) In the next section we derive the existence or otherwise of the set S described earlier by relating the dimensions of the spaces L(G), C(G), E(G) and A(G). 2 A...

Ngày tải lên: 07/08/2014, 15:22