Báo cáo toán học: "Intersections of Nonclassical Unitals and Conics in PG(2, q 2)" pot
Báo cáo toán học: "Intersections of Nonclassical Unitals and Conics in PG(2, q 2)" pot
... follows that
q + 1 − 6
√
q R
q
q + 1 + 6
√
q, (19)
where R
q
is the number of points of Φ which lie in PG(2, q) . Therefore, U
a,b
∩Ω is a k-arc
with q − 6
√
q −2 k q + 6
√
q −2 because ... νb
2
1
b
2
1
= 1,
and φ(x) = 0 has no solutions in G F (q) .
Now, let i ∈ GF (q
2
) denote a root of φ(x); then i and i
q
are both roots of φ(x) and
thu...
Báo cáo toán học: "Intersections of Randomly Embedded Sparse Graphs are Poisson Edward" pdf
... (11)
and p
n
(G ⊃ e) is the probability that a random embedding of G in K
n
contains e.
Partition the k-tuples of distinct edges in K
n
into two classes, I and D,where
Icontains all k-tuples of independent ... [6],
and proven there for a special case.) This can be interpreted in terms of random
embeddings of pairs of graphs in K
n
. Theorem 1, discusses random embedd...
Báo cáo toán học: "Boundedness of Multilinear Littlewood-Paley Operators for the Extreme Cases" potx
... (L
p
,L
q
)-boundedness of
˜
S
A
δ
for 1 <p<n/ and 1 /q =1/p − δ/n,we
get
1
|Q|
Q
M
1
(x)dx ≤ |Q|
−1 /q
||
˜
S
A
δ
(f
1
)||
L
q
≤ C |Q|
−1 /q
||f
1
||
L
p
≤ C||f ||
L
n/δ
.
Similar to the proof of ... proof of Theorem 1, we obtain
1
|Q|
Q
M
2
(x)dx ≤ C||f||
L
n/δ
and
1
|Q|
Q
M
3
(x, u)dx ≤ C||f ||
L
n/δ
.
Thus, by using the condition of M
4
(x, u),...
Báo cáo toán học: " Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator" ppt
... >−1 and 0 σ 1 if and only if f ∈TQ(α, β, σ).
Proof. First, we have
z (Q
α
β
f(z))
Q
α
β
f(z)
− 1
− Re
z (Q
α
β
f(z))
Q
α
β
f(z)
− 1
2
z (Q
α
β
f(z))
Q
α
β
f(z)
− ... if and only if (12) is
satisfied. Consequently, we can write
z (Q
α
β
f(z))
Q
α
β
f(z)
− 1
− Re
z (Q
α
β
f(z))
Q
α
β
f(z)
− 1
1 − σ
330 Maslina Darus,...
Báo cáo toán học: " Asymptotics of Young Diagrams and Hook Numbers" potx
... Divide η into B
1
and B
2
as follows:
Notice that B
1
= SR(µ) of 1.1. Note also that the hook numbers in B
1
are those
in SR(µ), and they are independent of .
Examine the hook numbers in B
2
. In ... electronic journal of combinatorics 4 no.1 (1997), #R22 2
§1. Introduction and the main results
Asymptotic calculations are applied to study the degrees of certain sequence...
Báo cáo toán học: "Distribution of crossings, nestings and alignments of two edges in matchings and partitions" pot
... concerning the numbers of crossings and nestings of two edges in
matchings, preprint, math.CO/0510676, 2005.
[9] C. Krattenthaler, Growth diagrams, and increasing and decreasing chains in fillings of
Ferrers ... Therefore
T
n
(q) :=
α∈M
2n
q
al(α)
= q
(
n
2
)
L
n
(1 /q, 1 /q) .
The first terms of the above sequences are given as follows:
T
0
(q) =T
1
(q) =1 L
0
(p, q...