Báo cáo toán học: "Self-describing sequences and the Catalan family tree" pps
Báo cáo toán học: " Weak compactness and the Eisenfeld-Lakshmikantham measure of nonconvexity" potx
... 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...
Báo cáo toán học: " Order-distributions and the Laplace-domain logarithmic operator" docx
... 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...
Báo cáo toán học: "Contraction semigroups and the spectrum of $A_1 otimes I + I otimes A_2$ " pps
... class="bi x0 y0 w1 h 3" alt =""
Báo cáo toán học: "Ergodic theory and the functional equation (I - T)x = y " pps
... class="bi x0 y2 w5 h 2" alt =" "
Báo cáo toán học: "Stapled Sequences and Stapling Coverings of Natural Numbers" doc
... [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...
Báo cáo toán học: " Parity Systems and the Delta-Matroid Intersection Problem" pot
... 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...
Báo cáo toán học: "Tournament Sequences and Meeussen Sequences" pot
... 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...
Báo cáo toán học: " INCREASING SUBSEQUENCES AND THE CLASSICAL GROUPS" ppsx
... 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...
Báo cáo toán học: "Self-describing sequences and the Catalan family tree" pps
... 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...
Báo cáo toán học: " Monomial nonnegativity and the Bruhat orde" pot
... #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...
Báo cáo toán học: "Grid classes and the Fibonacci dichotomy for restricted permutations" ppsx
... 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...
Báo cáo toán học: "Permutations, cycles and the pattern 2–13" pdf
... 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...
Báo cáo toán học: "Vector spaces and the Petersen graph" pdf
... 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...