The Convolution Sums ∑m
Aeran Kim · Journal of Advances in Mathematics and Computer Science · 2014
In this paper we obtain the convolution sum formulae of for n(∈ ) and an odd positive integer e and f. Moreover we obtain some identities induced from
Published by SCIENCEDOMAIN international · ISSN (electronic) 2456-9968
Search within this journal1,763
Articles indexed
0
2026 articles
1,763
Open access
9,342
Citations (indexed)
Aeran Kim · Journal of Advances in Mathematics and Computer Science · 2014
In this paper we obtain the convolution sum formulae of for n(∈ ) and an odd positive integer e and f. Moreover we obtain some identities induced from
A. M. Badmus · Journal of Advances in Mathematics and Computer Science · 2014
A Self starting Stomer Cowell Hybrid Block Method of uniform Order 8 for Direct solution of General Second Order Initial Value Problems of Ordinary Differential Equations is presented in this paper. The method produces simultaneous approximation of the solution in a Block of Seve...
Hegazy Zaher, Abd El-Fattah Kandil & Rehab Shehata · Journal of Advances in Mathematics and Computer Science · 2014
Data are rarely perfect. Whether the problem is data entry errors or rare events. Outliers have two opposing properties. They can be noises that disturb regression and classification task. On the other hand, they can provide valuable information about rare phenomena, which can le...
B. S. Emmanuel, M. B. Mu’azu, S. M. Sani & S. Garba · Journal of Advances in Mathematics and Computer Science · 2014
A data compression algorithm is a signal processing technique used to convert data from a large format to one optimized for compactness. Huge volumes of fingerprint images that need to be transmitted over a network of biometric databases are an excellent example of why data compr...
D. Ahmadi Dastjerdi & S. Jangjooye Shaldehi · Journal of Advances in Mathematics and Computer Science · 2014
A generalization of Run-length-limited (RLL) codes has been introduced and its dynamical properties as a symbolic dynamical system under the shift map will be investigated. A formula for entropy and zeta function will be given and when our system is shift of finite type, its Bowe...
V. I. Ilyevsky · Journal of Advances in Mathematics and Computer Science · 2014
For the first time ever, this work formulates definition of the degree of order for the non-random sequence of elements. Earlier, the only known parameter to evaluate a system’s degree of order was entropy. It has been shown that using entropy to evaluate the degree of order in d...
A. Raghavendra, B. Sooryanarayana & Chandru Hegde · Journal of Advances in Mathematics and Computer Science · 2014
For a connected graph G, a subset S = {s1, s2,...., sk} of vertices of G and each vertex x of G we associate a pair of k-dimensional vectors (u,v), where u = (d(x, s1), d(x, s2),...., d(x, sk)) and v = (δ(x, s1), δ(x, s2),...., (x, sk)), where d(x, si) and δ(x, si) respectively d...
Olagunju Mukaila & J. S. Sadiku · Journal of Advances in Mathematics and Computer Science · 2014
The designer of pipes normally faces the problems of how to design and prevent the pipes from leakage when used. To eradicate of reduces this problems, effects of retarding force on mass flow rate must take into consideration by compare the retarding force, mass flow rate of flui...
Brahim Benhammouda, Hector Vazquez-Leal & Luis Hernandez-Martinez · Journal of Advances in Mathematics and Computer Science · 2014
This work presents the application of the power series method (PSM) to find solutions of nonlinear delay differential equations of pantograph type (PDDEs). Three equations are solved to show that PSM can provide analytical solutions of PDDEs in convergent series form. The nonline...
Zhen Zhao, Philip J. Smith, David Yankey & Kennon R. Copeland · Journal of Advances in Mathematics and Computer Science · 2014
Background: In vaccination studies with complex sample survey, survival functions have been used since 2002. Recent publications have proposed several methods for evaluating the adjusted survival functions in non-population-based studies. However, alternative methods for calculat...