Báo cáo toán học: "The spectral category and the Connes invariant $Gamma$ " ppt
Báo cáo toán học: "On derivation ranges and the identity operator" pdf
... class="bi x1 y0 w3 h 2" alt =""
Báo cáo toán học: "On Catalan Trees and the Jacobian Conjecture" pdf
... largest in their equivalence class as
standard trees, and use them as equivalence class representatives. We will de-
note the set of standard Catalan trees by standard(C) and the set of standard
marked ... by standard(C, ∗). The standard trees in C
4
are
, , , , .
One of the standard trees in CH
3
is
.
The standard tree representing the class [T ]isT . We will also say that [S...
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 ... statements of the theorem are implied by Theorem 1 and the following lemma.
Lemma 1. If a is a member of the Catalan family then a = δa. Otherwise, a<δa.
Proof. The pr...
Báo cáo toán học: "Two-stage allocations and the double Q-function" pdf
... each, and other random variables.
Equiprobable allocations are the most simple and well studied. Consider, for example,
an Internet voting on the theme: “Which of the N teams will win the world ... is 1/N . Let the ith cell contain m
i
particles on completion. Then associate with this cell the probability a
i
=
m
i
/m and withdraw the particles.
2. The other n particles...
Báo cáo toán học: "Bicoloured Dyck paths and the contact polynomial for n non-intersecting paths in a half-plane lattic" pot
... of the Gessel-Viennot method. The
interpretation of ω as the number of Ceratic Hankel paths follows from the determinant
using the Gessel-Viennot theorem (theorem 2). Furthermore, theorem 4, the ... C
0
= 1, in the expansion of
κ(ω). To distinguish the steps of the original path from the steps of the inserted paths
we will colour the former red and the latter blue....
Báo cáo toán học: " Tiling Parity Results and the Holey Square Solution" ppt
... a
i
and black b
i
vertices on one side of ,
and the edges of all black a
i
and white b
i
vertices on the other side of .LetG
+
be the
subgraph on one side of ,andG
−
the subgraph on the other ... 2,
while the second creates a ({2,s− 1}; 1)-corner. To the former, apply the theorem for
p = P − 1andk = 2, and apply the theorem for p =1andk = 1 to the latter. Both
r...
Báo cáo toán học: "Convex-Ear Decompositions and the Flag h-Vector" docx
... together nicely. In
Section 3 we recall several useful results from [11], and then prove this theorem.
Sections 4 and 5 are devoted to the applications of Theorem 3.1 to geometric lattices
and ... together, these results (along
with those of Chari and Swartz) give us the following.
Theorem 1.1. Let ∆ be the order complex of a rank-selected subposet of either
1: a geometric latti...
Báo cáo toán học: "Generalized Bell polynomials and the combinatorics of Poisson central moments" doc
... study the properties of the polynomials using the Poisson
central moments, and we derive Relation (1.6) as a corollary. Finally in Section 4 we state
the connection between these polynomials and the ... moments of the Poisson distri-
bution. We show that these polynomials are dual of the Charlier polynomials by
the Stirling transform, and we study the resulting combina...
Báo cáo toán học: "he spectral radius of subgraphs of regular graphs" ppt
... x
2
u
≥
1
k
x
2
w
≥
1
nD
,
completing the proof.
Hereafter, we assume that dist
H
(w, u) ≥ D and, by symmetry, dist
H
(w, v) ≥ D.
Let P (u, w) and P (v, w) be shortest paths joining u and v to w in G. If u ∈ P (v, w) ,
then there ... 1, joining w to u in G, and thus in H, a
contradiction. Hence, u /∈ P (v, w) and, by symmetry, v /∈ P (u, w) . Therefore, the paths
P (u, w) and P...
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