2010
34
4
4
0
KNACCI SEQUENCES IN MILLER’S GENERALIZATION OF POLYHEDRAL GROUPS
2
2
A knacci sequence in a finite group is a sequence of group elements x0 , x1, x2 ,, xn , forwhich, given an initial (seed) set 0 1 2 1 , , , ,j x x x x , each element is defined by0 1 11 1for ,for .nnn k n k nxx x j n kxx x x n k In this paper, we examine the periods of the knacci sequences in Miller’s generalization of the polyhedralgroups 2,2 2;q , n,2 2;q , 2, n 2;q , 2,2 n;q , for any n 2 .
1

275
283


O.
DEVECI
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
Department of Mathematics, Faculty of Science
Turkey
odeveci36@hotmail.com


O.
KARADUMAN
Ataturk University, Department of Mathematics, Faculty of Science, Erzurum, Turkey
Ataturk University, Department of Mathematics,
Turkey
Knacci sequence
period
dihedral group
polyhedral group
QCD FACTORIZATION IN HADRONIC B J/ ( ,K) DECAYS*
2
2
Using QCD factorization for the hadronic matrix elements, we show that existing data, inparticular the branching ratios BR ( B →J/ψK) and BR ( B →J/ψπ), can be accounted for in this approach.We analyze the decay B J /K( ) within the framework of QCD factorization. The calculation of therelevant hardscattering kernels for twist2 and twist3 is completed. We calculate this decay in a special scale( mb ) and in two schemes for Wilson coefficients in NLO. We consider three functions for J / . Thetwist3 contribution involves the logarithmically divergent integral, we consider H 0 the cancelingdivergent. The obtained results are in agreement with available experimental data.
1

285
303


H.
MEHRBAN
Physics Department, Semnan University, Semnan, I. R. of Iran
Physics Department, Semnan University, Semnan,
Iran
hmehraban@semnan.ac.ir


M.
SAYAHI
Physics Department, Semnan University, Semnan, I. R. of Iran
Physics Department, Semnan University, Semnan,
Iran
B Meson
hard scattering
QCD factorization
2 and 3twist
SUBORBITAL GRAPHS FOR A SPECIAL SUBGROUP OF THE NORMALIZER OF m
2
2
In this paper, we find the number of sides of circuits in suborbital graph for the normalizer of0 (m) in PSL(2,), where m will be of the form 2p2 , p is a prime and p 1 mod 4. In addition, wegive a number theoretical result which says that the prime divisors p of 2u2 2u 1 are of the formp 1 mod 4.
1

305
312


S.
KADER
Department of Mathematics, Nigde University, Nigde, Turkey
Department of Mathematics, Nigde University,
Turkey


O
GULER
Department of Mathematics, Rize University, Rize, Turkey
Email: bahadir.guler@rize.edu.tr
Department of Mathematics, Rize University,
Turkey


A. H.
DEGER
Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey
Department of Mathematics, Karadeniz Technical
Turkey
In this paper
we find the number of sides of circuits in suborbital graph for the normalizer of 0 (m) in PSL(2
)
where m will be of the form 2p2
p is a prime and p 1 mod 4. In addition
we give a number theoretical result which says that the prime divisors p of 2u2 2u 1 are of the form p 1 mod 4
A NOVEL NAVIGATION METHOD FOR PURSUING A MOVING TARGET
2
2
The most current pursuit algorithms for moving targets which are presented so far in the literatureare Pure Pursuit and Pure Rendezvous navigations. Recently, one of the present authors has introduced ageometric model for the Pure Pursuit navigation algorithm. Here, in this paper, we study a new algorithm forthe pursuit navigation problem which is a combination of both of the above algorithms. We study itsgeometric properties, as well as the trajectories as time optimal paths. Finally, we compare this algorithm withwellknown algorithms in some real examples.
1

313
320


H.
ATTARCHI
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology,
424 Hafez Ave, 15914 Tehran, I. R. of Iran
Faculty of Mathematics and Computer Sciences,
Iran


B.
BIDABAD
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology,
424 Hafez Ave, 15914 Tehran, I. R. of Iran
Faculty of Mathematics and Computer Sciences,
Iran
bidabad@aut.ac.ir


M. M.
REZAII
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology,
424 Hafez Ave, 15914 Tehran, I. R. of Iran
Faculty of Mathematics and Computer Sciences,
Iran
Pure Pursuit
Pure Rendezvous
Composed Pursuit
Finsler metric
TWODIRECTION POLYSCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS
2
2
In this paper, we study L1 solutions of the following twodirection polyscale refinement equationWe prove that the vector space of all L1 solutions of the above equation is at most onedimensional andconsists of compactly supported functions of constant sign. We also show that any L1 solution of the aboveequation is either positive or negative on its support under a special assumption. With regard to the solutions of the equation, some simple sufficient conditions for the existence of nontrivial solutions andthe nonexistence of such solutions are given.
1

321
334


S.
YANG
Department of Mathematics, Shantou University, Shantou, P. R. China
Department of Mathematics, Shantou University,
China
szyang@stu.edu.cn


J.
LIN
Department of Mathematics, Shantou University, Shantou, P. R. China
Department of Mathematics, Shantou University,
China
Twodirection polyscale refinement equation
solutions
iterated function systems
STRONGLY SUMMABLE AND STATISTICALLY CONVERGENT FUNCTIONS
2
2
In this study, by using the notion of (V, λ)summability, we introduce and study the concepts of λstrongly summable and λstatistiacally convergent functions.
1

335
338


F.
NURAY
Afyon Kocatepe University, Mathematics Department Afyonkarahisar, Turkey
Afyon Kocatepe University, Mathematics Department
Turkey
fnuray@aku.edu.tr
Statistical convergence
strongly summable function
ON A CHARACTERISTIC PROBLEM FOR A THIRD ORDER PSEUDOPARABOLIC EQUATION
2
2
In this paper, we investigate the Goursat problem in the class C21(D)Cn0 (D P) C00 (D Q)for a third order pseudoparabolic equation. Some results are given concerning the existence and uniquenessfor the solution of the suggested problem.
1

339
348


A.
MAHER
Department of Mathematics, Faculty of Science, Assiut University, Egypt
Department of Mathematics, Faculty of Science,
Egypt
a_maher69@yahoo.com


YE. A.
UTKINA
Department of Differential Equations, Kazan State University, Kazan, Russia
Department of Differential Equations, Kazan
Russian Federation
Third order pseudoparabolic equation
the Goursat problem
TWOPHASE SAMPLE SIZE ESTIMATION WITH PREASSIGNED VARIANCE UNDER NORMALITY ASSUMPTION
2
2
We develop a two phase sampling procedure to determine the sample size necessary to estimatethe population mean of a normally distributed random variable and show that the resulting estimator has preassigned variance and is unbiased under a regular condition. We present a necessary and sufficient condition under which the final sample mean is an unbiased estimator for the population mean.
1

349
353


M.
SALEHI
Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, I. R. of Iran
Department of Mathematics, Statistics and
Qatar
salehi@qu.edu.qa


P. S.
LEVY
3RTI International, Research Triangle Park, North Carolina, USA
3RTI International, Research Triangle Park,
United States


J.
RAO
School of Mathematics and Statistics, Carleton University, Ottawa, Canada
School of Mathematics and Statistics, Carleton
Canada
Population mean
sample size determination
two phase sampling