Báo cáo toán học: "Rotor-router aggregation on the layered square lattice" pps
Báo cáo toán học: "Rotor-router aggregation on the layered square lattice" pps
... times. Therefore, the final chip configuration does not depend on the initial
rotor configuration, and the initial and final rotor configurations are equal. Following the
proof of Theorem 1, the Strong ... reflection of the edges of the lattice carries over to the rotors. Thus, the rotor directions
on the axes alternate between the directions of the two parallel edges of...
Báo cáo toán học: " A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law" pptx
... the condition nP(|X
1
| > η
n
) ≤ c(log n)
ε
0
, 0 < ε
0
< 1 in theorem 1.1 of [12].
Remark 1.4. If EX
2
< ∞, then X is in the domain of attraction of the normal law. Therefore, the ... weights.
On the other hand, by the Theorem 1 of Schatte [3], Equation (3) fails for weight d
k
= 1. The optimal weight
sequence remains unknown.
The purpose of this article is to...
Báo cáo toán học: "Some Results on the Properties D3 (f ) and D4 (f )" ppsx
... p
1
(x, y)=
x, p
2
(x, y)=y are the canonical projections. By the Proposition 3.2 the second
Some Re sults on the Properties D
3
(f) and D
4
(f) 147
8. D.Vogt , On two clases of
(F )-spaces,Arch. ... id, Hence,
R is the right inverse of q and the proposition is proved.
4.ProofofMainTheorem
(i) The sufficiency is obvious. Now we prove the necessity. Let E be a Frechet
space...
Báo cáo toán học: "Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity" ppt
... f
z
1
=
f
z
1
on D
2
. Thus f =
f
on D
1
× D
2
and the proof for the case N = 2 is completed. Now we assume that
the conclusion of the theorem holds for N − 1 ≥ 2. Put k = k
1
+ ···+ k
N
. From
the hypothesis ... Forelli
type (see Theorems 3.2 and 4.1 below). The paper is organized as follows.
Beside the introduction, the paper contains three sections. In the second...
Báo cáo toán học: "A Remark on the Dirichlet Problem" pdf
... sug-
gesting the problem and for many helpful discussion during the preparation of this
work.
References
1. P.
˚
Ahag, The Complex Monge–Ampere Operator on Bounded Hyperconvex Do-
mains, Ph. D. Thesis, ... vanishes on pluripolar sets. The
function U (μ, h) plays a crucial role in solving the Dirichlet problem.
3. The Comparison Principle for
E
p
+ B
a
loc
In order to prove...
Báo cáo toán học: "A Note on the Symmetric Powers of the Standard Representation of Sn" ppt
... f
λ
(q) is the generating function for the entries of the column
corresponding to the λ-cycles. The dimension of the column-span of our table is
therefore equal to dim F
n
, and the proposition is ... preceeding lemma, the
N
th
entry of the column corresponding to the λ-cycles is equal to the number of
nonnegative integer solutions to the equation λ
1
x
1
+ ···+ λ
k
x...
Báo cáo toán học: "A note on the non-colorability threshold of a random graph" pot
... information on Maple) implementation of the downhill simplex function optimization
method (see [13] for a good description of the method and a C implementation) to the
maximize the expression. This ... (3)
When conditioning on the event C
P
0
, the random graphs of the resulting probability
space may contain edges only from within the edges that connect vertices of differen...
Báo cáo toán học: "A note on the number of (k, )-sum-free sets" potx
... k>,ifthere
are no solutions to the equation x
1
+ ···+ x
k
= y
1
+ ···+ y
in A. Denote
by SF
n
k,
the number of (k, )-sum-free subsets of [1,n]. Since the set of
1
the electronic journal ... of [1,n]
are contained in arithmetic progression r mod ρ, where (k − )r ≡ 0modρ.
If d
>ρthen every progression r mod d
consists of at most n/(ρ +1)
elements hence it contains no...