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...

Ngày tải lên: 08/08/2014, 12:22

... (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...

Ngày tải lên: 07/08/2014, 06:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... (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),...

Ngày tải lên: 06/08/2014, 05:20

... >−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,...

Ngày tải lên: 06/08/2014, 05:20

... 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...

Ngày tải lên: 07/08/2014, 06:20

... 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...

Ngày tải lên: 07/08/2014, 13:21