Báo cáo toán học: "Venn Diagrams with Few Vertices" pps

... dual graph is adjacent to a dual vertex with weight k − 1 and a dual vertex with weight k +1. Monotone diagrams are a natural and interesting class of Venn diagrams. The general constructions of ... A.W.F. Edwards, “Seven-set Venn diagrams with rotational and polar symmetry,” Combinatorics, Probability, and Computing, 7 (1998) 149-152. [5] A.W.F. Edwards, “Venn diagrams for many...

Ngày tải lên: 07/08/2014, 06:22

... code. Proof Assume x ∈{0, 1} n with (∞) = β(x)=b =(b 1 ,b 2 , ··· ,b k ). Then ||b|| = n,which is prime. Suppose y = x is a rotation of x and y starts with ‘1’ and ends with ‘0’. Then by Lemma 12, ... bitstrings with no unmatched 1 as follows. Lemma 8 For x ∈{0, 1} n with U 1 (x)=∅,letk = |U 0 (x)|. Then C x = x, τ (x),τ 2 (x),τ 3 (x), ,τ k (x), is a symmetric chain ending at the...

Ngày tải lên: 07/08/2014, 08:20

Ngày tải lên: 05/08/2014, 09:46

... (a j ) with a 0 = 2 and take a sequence d j going through all numbers in N \{a j } j≥0 in increasing order. Clearly, d 0 = 1 and properties (i)–(iii) are satisfied. The sequence d  j starts with 0 ... an explicit construction of a bijection between the P (a j ) j≥0 (n, m)witha 0 =2and(b j ) j≥1 -colored partitions of m with b j = a j − a j−1 .Letλ ∈P (a j ) j≥0 (n, m) be such partition....

Ngày tải lên: 07/08/2014, 08:22

... composition and performance. We collaborated with an electronic musician to observe the real flexibility and the capabilities of such a system, when handled by a user with deep musical skills but no robot ... setup The robot employed in this study is a Barrett WAM with 7 revolute DOFs back- drivable arm, controlled by inverse dynamics solved with recursive Newton Euler algorithm [33]....

Ngày tải lên: 20/06/2014, 20:20

... random fixed point. 5 for y ∈ X with y = x. It is well known that the above inequality is equivalent to lim sup n→∞ x n − x < lim sup n→∞ x n − y for y ∈ X with y = x. It is well known ... continuous, if for each {x n } ⊂ X with x n  x, then J(x n )  ∗ J(x). Recall that a Banach space X is said to satisfy Opial  s condition if, for any {x n } ⊂ X with x n  x, the following...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

... T k (x) with eigenvalue h 2ν (x). Since T k (x) commutes with the action of S λ/µ ,wehave T k (x)(e(v)) = e(T k (x)v) = e(h 2ν (x)v) = h 2ν (x)e(v). (2.42) i.e. e(v)isalsoaneigenvectorofT k (x) with ... S n with k fixed points, and standard tableaux of all normal shapes λ  n such that λ has exactly k columns of odd length. Fact 3.8. Let T be a standard tableau of shape D, which is a s...

Ngày tải lên: 07/08/2014, 06:20