Báo cáo toán học: "On the Tur´n Properties of Infinite Graphs a" pptx
Báo cáo toán học: "On the Tur´n Properties of Infinite Graphs a" pptx
... ≤
k
2
,
3
4
k
2
−
5
6
k+
1
4
(2i−k−2)(2i−k)
(k+i)
2
, otherwise.
The meaning of the existence of t
B
(i) is similar as in Remark 2.3.
3 Proof of Theorem 1.2
We start with an outline of the proof. First, we redefine the sequence B by ... sequence C of 2k symbols from the proof of Theorem 1.3, for k ≥ 12
and even. Then an approach similar to the one used in Theorem 1.3 yi...
Báo cáo toán học: "On the Almost Sure Convergence of Weighted Sums of I.I.D. Random Variables" docx
... S
n
=
m
n
1
|a
nk
||X
k
|→0 a.s. Because the proof of Theorem 2 holds
when S
n
is replaced by S
n
, Theorem 2 states the convergence of S
n
in absolute
sense too. Consequently under the conditions of Theorem 2
m
n
1
a
nk
X
k
→ ... method of proof is not suitable to derive such a result.
By Corollaries 1 a nd 2, we can see that the finiteness of exp ectation of som...
Báo cáo toán học: "On the generation and enumeration of some classes of convex polyominoes" pps
... objects of O. The root of the tree is the
object of O having the minimum size (possibly the empty object). The objects having
the same value of the parameter p lie at the same level, and the sons of ... : the uppermost cell of the rightmost column of the polyomino has the maximal
ordinate among all the cells of the polyomino;
U2 : the lowest c...
Báo cáo toán học: "On the non-holonomic character of logarithms, powers, and the nth prime function" ppsx
... line of angle θ, but it reduces to the corresponding integral
along the positive real line, by virtue of the residue theorem. This suffices to justify the
extension of the estimate to sectors. The ... is a fact that the precise knowledge of the behaviour of an analytic function in the vicinity of its
singular points is a source of arithmetic properties. ”
the...
Báo cáo toán hoc:"On the unitary Cayley graph of a finite ring" pot
... ∧ H) is the tensor
product of the matrices A(G) and A(H), and that the eigenvalues of a tensor product of
matrices may be found by taking products of the eig envalues of the factors.
The fundamental ... various other graph-
theoretic properties not considered there. O ur proofs emphasize the dependence of results
on the underlying algebraic structure of the r...
Báo cáo toán học: "On the most Weight w Vectors in a Dimension k Binary Code" potx
... matrix. Let V be
the vector space generated by G. Suppose v ∈ V is the sum of a subset of the rows of G,
at least one of which is among the bottom k − l rows. Denote the complement of a binary
vector ... prove Theorem 7. This author and Lucas Sabalka found a more general theorem
[6], but they used a different proof technique. Theorem 7 is a generalization of Theorem
6, t...
Báo cáo toán học: "On the crossing number of Km,n" potx
... defined in the same way as in the proof of Lemma 1.
Lemma 3 Let λ be the number of distinct pairs of elements of B having the same cyclic
ordering of edges incident on an element of A
. Then, if ... ordering of the edges around u
1
,andc(u
2
) denote the cyclic
ordering of the edges around u
2
. Woodall [3] proved the following theorem:
Theorem 4 If a good dra...
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