Báo cáo toán học: "On the Hyperbolicity of Some Systems of Nonlinear " pps
Báo cáo toán học: "On the Hyperbolicity of Some Systems of Nonlinear " pps
... ξ
4
v
33
v
15
v
24
,
(6.7)
On the Hyperbolicity of some Systems of Nonlinear 111
The solvability of the Cauchy problem for the equations (1.5) strongly depends
on the hyperbolicity of the system (1.1). So, ... hyperbolic.
3. Proof of the Theorem 2.8 for the Case n =2
Suppose that A
T
= A, i.e. a
12
= a
21
. We prove that the system (1.1) is hyper-
bolic...
Báo cáo toán học: " On the Symmetric and Rees Algebras of Some Binomial Ideals" pdf
... by x
p
the g.c.d. of the first term of f
u
and the first term
of f
v
, by x
t
the g.c.d. of the first term of f
u
and the second term of f
v
, by x
r
the g.c.d. of the second term of f
u
and the second ... Marcel
in Theorem 2.1. We obtain also a primary decomposition of the presentation
ideal of the Symmetric algebra Sym(I) in Theorem 3.1. All these resu...
Báo cáo toán học: "On the structure and classification of SOMAs: generalizations of mutually orthogonal Latin" docx
... Thus, the the existence of a
SOMA(n − 1,n) is equivalent to the existence of n − 1 MOLS of order n, and hence
to the existence of a projective plane of order n.Ifnis a power of a prime then there
exists ... construct the graph Φ(A)forAas follows. The vertex-
set of Φ(A) is the union of A, the cartesian product {1, ,n}×{1, ,n},theset
the electronic journal of...
Báo cáo toán học: "On the Excluded Minors for Matroids of Branch-Width Three" ppsx
... and
T
is one of the two components of T − e. (This is well defined since, for T
being the
other component of T − e,thesets(T
),(T
) form a partition of (T ).) The width of
the branch-decomposition ... branch-decomposition (T,τ) is the maximum of the widths of the edges of T ,andthe
branch-width of M is the minimal width over all branch-decompositi...
Báo cáo toán học: "On the Entropy and Letter Frequencies of Ternary Square-Free Words" docx
... of the letter a.Thenumber may thus be regarded
as the frequency of the letter a. We are interested in the exponential growth rate of
s
n,n
. This leads to the question whether sequences of ... <q<∞. The function F (q) is called the free energy of the model. More
can be said about the properties of the free energy by using convexity arguments. These
ar...
Báo cáo toán học: "On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions Tiago Fonseca" ppsx
... proof is
the main focus of the present work:
Theorem. The number of ASMs of size n with the 1 of the first row in the (i + 1)
st
position and the 1 of last row in the (j + 1)
st
position is the ... number of ASMs of size n is the same as
the number of TSSCPPs of size 2n:
A
n
= A
n
(1) = U
0
n
(1)
4 The proof
4.1 ASM counting as the partition function...
Báo cáo toán học: " On the Koolen–Park inequality and Terwilliger graphs" pps
... 1). There are integers r
and s such that the local graph of each vertex of Γ is the disjoint union of r copies of the
s-clique. Furthermore, v = 1 + rs + s
2
r(r − 1), k = rs and λ = s − 1. The ... diam(Γ)). The subgraph Γ
1
(u) is called the local graph of a vertex u and the
degree of u is the number of neighbors of u, i.e., |Γ
1
(u)|.
For two vertices u, w ∈...
Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... statistical analysis of the capacity of N∗Nakagami-m
channels. Specifically, we have studied the influence of the severity of fading and the
number of hops on the PDF, CDF, LCR, and ADF of the channel capacity. ... levels r. Furthermore, the
variance of the channel capacity decreases by increasing the number of hops, while increase
in the severity of fading...
Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... α(j) = 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded
if and only if the condition (5.5) is satisfied.
Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark ... condition for the
boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively.
The next result provides a sufficient condition for the boundedness of...
