Báo cáo toán học: "Grid classes and the Fibonacci dichotomy for restricted permutations" ppsx
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: " Bijective proofs of the hook formulas for the number of standard Young tableaux, ordinary and shifted" pptx
... 1995
Bijective proofs of the hook formulas for the number of ordinary standard
Young tableaux and for the number of shifted standard Young tableaux are given. They
are formulated in a uniform ... provide a bijective proof of the hook formula for the number of shifted standard
Young tableaux (and its q-analogue; see the Theorem in...
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: " 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: " 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: "A Relationship Between the Major Index For Tableaux and the Charge Statistic For Permutations" pptx
... of the finite general linear group GL
n
(q). The polynomial f
λ
(q) can be computed as the
generating function for the major index maj(T ) on the set of standard Young tableaux
of shape ... ch(π)=
i
cc(i). For the previous example, the charge contribution
of each element is given below that element:
π =328574619
782530000
3 Charge and Inv
Many of the known res...
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: "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...
Báo cáo toán học: "Quartet Compatibility and the Quartet Graph" ppsx
... S and S
merge A, or both S and S
merge B, then, by Theorem 2.2,
(ii) holds. Furthermore, making use of the note, the argument for the case that one of
the sequences, S say, merges A and the ... of the quartets collected by S
, but no other quartet in Q.
Assume that ab|cd is a quartet collected by U
k
. Then either a, b ∈ A
k
and c, d ∈ X − A
k
,
or c, d ∈ A
k
an...
Báo cáo toán học: "Permutation Tableaux and the Dashed Permutation Pattern 32–1" ppsx
... T and the permutation
π obtained from T by the first bijection of Corteel and Nadeau, we prove that the inversion
number of T equals the number of occurrences of the dashed pattern 32–1 in the ... 0
equals B
n
.
On the other hand, the following relation was proved by Corteel and Nadeau [7].
Theorem 3.2. The number of L-Bell permutation tableaux of length n equ...
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