Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
K-NACCI SEQUENCES IN MILLER’S GENERALIZATION OF POLYHEDRAL GROUPS
275
283
EN
O.
DEVECI
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
odeveci36@hotmail.com
O.
KARADUMAN
Ataturk University, Department of Mathematics, Faculty of Science, Erzurum, Turkey
10.22099/ijsts.2010.2178
A k-nacci 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 k-nacci 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 .
K-nacci sequence,period,dihedral group,polyhedral group
http://ijsts.shirazu.ac.ir/article_2178.html
http://ijsts.shirazu.ac.ir/article_2178_dff494d682e14b56655c2b273c389f62.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
QCD FACTORIZATION IN HADRONIC B J/ ( ,K) DECAYS*
285
303
EN
H.
MEHRBAN
Physics Department, Semnan University, Semnan, I. R. of Iran
hmehraban@semnan.ac.ir
M.
SAYAHI
Physics Department, Semnan University, Semnan, I. R. of Iran
10.22099/ijsts.2010.2179
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 hard-scattering kernels for twist-2 and twist-3 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 / . Thetwist-3 contribution involves the logarithmically divergent integral, we consider H 0 the cancelingdivergent. The obtained results are in agreement with available experimental data.
B Meson,hard scattering,QCD factorization,2 and 3-twist
http://ijsts.shirazu.ac.ir/article_2179.html
http://ijsts.shirazu.ac.ir/article_2179_382ae7c78eb8fff892e5ab88b10b2907.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
SUBORBITAL GRAPHS FOR A SPECIAL SUBGROUP OF THE NORMALIZER OF m
305
312
EN
S.
KADER
Department of Mathematics, Nigde University, Nigde, Turkey
O
GULER
Department of Mathematics, Rize University, Rize, Turkey
Email: bahadir.guler@rize.edu.tr
A. H.
DEGER
Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey
10.22099/ijsts.2010.2180
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.
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
http://ijsts.shirazu.ac.ir/article_2180.html
http://ijsts.shirazu.ac.ir/article_2180_503b02bd26a76b5c216d53711c31cc33.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
A NOVEL NAVIGATION METHOD FOR PURSUING A MOVING TARGET
313
320
EN
H.
ATTARCHI
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology,
424 Hafez Ave, 15914 Tehran, I. R. of Iran
B.
BIDABAD
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology,
424 Hafez Ave, 15914 Tehran, I. R. of 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
10.22099/ijsts.2010.2181
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 withwell-known algorithms in some real examples.
Pure Pursuit,Pure Rendezvous,Composed Pursuit,Finsler metric
http://ijsts.shirazu.ac.ir/article_2181.html
http://ijsts.shirazu.ac.ir/article_2181_4bef8db34f486819627026bcbe6f6e61.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS
321
334
EN
S.
YANG
Department of Mathematics, Shantou University, Shantou, P. R. China
szyang@stu.edu.cn
J.
LIN
Department of Mathematics, Shantou University, Shantou, P. R. China
10.22099/ijsts.2010.2182
In this paper, we study L1 -solutions of the following two-direction poly-scale refinement equationWe prove that the vector space of all L1 -solutions of the above equation is at most one-dimensional 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.
Two-direction poly-scale refinement equation,-solutions,iterated function systems
http://ijsts.shirazu.ac.ir/article_2182.html
http://ijsts.shirazu.ac.ir/article_2182_627de8f44897b33f1b0d477fdc205182.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
STRONGLY SUMMABLE AND STATISTICALLY CONVERGENT FUNCTIONS
335
338
EN
F.
NURAY
Afyon Kocatepe University, Mathematics Department Afyonkarahisar, Turkey
fnuray@aku.edu.tr
10.22099/ijsts.2010.2183
In this study, by using the notion of (V, λ)-summability, we introduce and study the concepts of λ-strongly summable and λ-statistiacally convergent functions.
Statistical convergence,strongly summable function
http://ijsts.shirazu.ac.ir/article_2183.html
http://ijsts.shirazu.ac.ir/article_2183_b6adebce7f762589825df4487ebd4801.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
ON A CHARACTERISTIC PROBLEM FOR A THIRD ORDER PSEUDOPARABOLIC EQUATION
339
348
EN
A.
MAHER
Department of Mathematics, Faculty of Science, Assiut University, Egypt
a_maher69@yahoo.com
YE. A.
UTKINA
Department of Differential Equations, Kazan State University, Kazan, Russia
10.22099/ijsts.2010.2184
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.
Third order pseudoparabolic equation,the Goursat problem
http://ijsts.shirazu.ac.ir/article_2184.html
http://ijsts.shirazu.ac.ir/article_2184_fc1f37311a4ea8ca4d3e8db7181117e1.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
34
4
2010
12
01
TWO-PHASE SAMPLE SIZE ESTIMATION WITH PRE-ASSIGNED VARIANCE UNDER NORMALITY ASSUMPTION
349
353
EN
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
salehi@qu.edu.qa
P. S.
LEVY
3RTI International, Research Triangle Park, North Carolina, USA
J.
RAO
School of Mathematics and Statistics, Carleton University, Ottawa, Canada
10.22099/ijsts.2010.2185
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.
Population mean,sample size determination,two phase sampling
http://ijsts.shirazu.ac.ir/article_2185.html
http://ijsts.shirazu.ac.ir/article_2185_a045a2ddcb34f2ca54fb1b94b03a2d26.pdf