Volume 8, Number 1 (2023)
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# SCIREA Journal of Mathematics — Open Access Journal

SCIREA Journal of Mathematics is an international, scientific peer-reviewed open access journal published online by SCIREA.

free for readers, with article processing charges (APC) paid by authors or their institutions.

High visibility: Indexed in the Google Scholar and other databases.

Rapid publication: manuscripts are peer-reviewed and a first decision provided to authors approximately 20 days after submission; acceptance to publication is undertaken in 5 days.

Recognition of reviewers: reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any SCIREA journal, in appreciation of the work done.

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# Volume 8, Issue 1, February 2023

Open Access
Xing Zhu, Chuanze Niu
Abstract: The formula of the $p$-adic valuation of the sequence $C_n(l)=\prod_{k=1}^{n}\prod_{j=0}^{l}(2k+2j-1)$ is studied. It is proved that $C_n(l)$ is not a square if $l$ is even and $n\ge \max\{2l,\frac{3l+19}{5}\}$. It is proved also that there are many squares in the sequences $C_n(1)$ and $C_n(3)$, while there are no squares [...] Read more.
Abstract   ReferencesPDF (255 K)   January 25, 2023    7 Downloads   81 Views   DOI: 10.54647/mathematics110379

# Volume 7, Issue 6, December 2022

Open Access
H.-Q. LIU
Abstract: This work is inspired by our recent work of giving a counterexample to the classical complex analysis (SCIREA Journal of Math. (6)4(2019), pp. 189-193). [...] Read more.
Abstract   ReferencesPDF (277 K)   November 13, 2022    8 Downloads   257 Views   DOI: 10.54647/mathematics11186
Open Access
Hong-Quan LIU
Abstract: The famous Stirling’s formula is generalized and improved, by using the arguments of analytic number theory and mathematical analysis. [...] Read more.
Abstract   ReferencesPDF (741 K)   December 4, 2022    12 Downloads   195 Views   DOI: 10.54647/mathematics11183
Open Access
Jinrong Shen
Abstract: In this paper, the minimal norm least squares solution of matrix equations (AXC,BXD,AXD,BXC)=(E,F,G,H) is discussed, by using the projection theorem, the generalized singular value decomposition and the canonical correlation decomposition, the expression of the solution of this problem is obtained. [...] Read more.
Abstract   ReferencesPDF (210 K)   December 11, 2022    9 Downloads   152 Views   DOI: 10.54647/mathematics11371
Open Access
H.-Q.Liu
Abstract: Counterexamples are given to residue theorem of complex analysis. The functional equation of Riemann zeta-function is invalid. [...] Read more.
Abstract   ReferencesPDF (1201 K)   December 11, 2022    8 Downloads   288 Views   DOI: 10.54647/mathematics11372

# Volume 7, Issue 5, October 2022

Open Access
A.E. Umnov, E.A. Umnov
Abstract: The article considers a method for solving a nonlinear programming problem. This method uses special feedback functions that describe the relationship between direct variables and Lagrange multipliers. These relations are similar to the conditions of the Karush-Kuhn-Tucker theorem, but do not use inequalities in their notat [...] Read more.
Abstract   ReferencesPDF (357 K)   September 12, 2022    9 Downloads   752 Views   DOI: 10.54647/mathematics11348

# Volume 7, Issue 4, August 2022

Open Access
Abstract: This paper discusses the minimax estimator of parameter for binomial distribution. The likelihood function is constructed based on the probability function of the Binomial distribution. The posterior distribution is obtained from the joint of the likelihood function and prior distribution. Furthermore, the Bayes estimato [...] Read more.
Abstract   ReferencesPDF (1188 K)   July 31, 2022    16 Downloads   411 Views   DOI: 10.54647/mathematics11340

# Volume 7, Issue 3, June 2022

Open Access
Blumenfeld Maty Rol
Abstract: The author has published recently (2021) a book having the title [1] Numerical Method to select an Analytical Polynomial Solution for Linear or Nonlinear Elliptic Partial Differential Equations of second order
The book can be freely downloaded from the blumenfeld.ro website. It was written during the isolation p [...] Read more.
Abstract   ReferencesPDF (724 K)   July 12, 2022    9 Downloads   404 Views   DOI: 10.54647/mathematics11327

# Volume 7, Issue 2, April 2022

Open Access
Ping Guo
Abstract: In the modern big data environment, Stochastic gradient descent is an important method for training neural networks, processing largescale data sets, optimization, etc. Deeply welcomed in various fields. With regard to SGD, the existing literature considers the stopping condition of parameter iteration. In fact, some unimp [...] Read more.
Abstract   ReferencesPDF (257 K)   May 18, 2022    12 Downloads   551 Views   DOI: 10.54647/mathematics11319

# Volume 7, Issue 1, February 2022

Open Access
Satyavarapu Naga Parameswara Gupta
Abstract: This is a fundamental result. What is the basic nature the intermolecular attraction forces? These questions were not thought off earlier. All the earlier conclusions were oriented towards finding the value of inter molecular attraction forces. We took the nature of these forces to be Newtonian Gravitation attraction forces [...] Read more.
Abstract   ReferencesPDF (2437 K)   January 20, 2022    13 Downloads   858 Views   DOI: 10.54647/mathematics11304
Open Access
Magdalena Jankowska, L ukasz Matysiak
Abstract: In this paper we consider the structure of Dedekind in some developed cryptosystems. In one case, the structure exists with respect to a key, and in the other case, the structure exists with respect to two alphabets. The second part of this paper is an appendix that considers the applications of polynomial composites and mo [...] Read more.
Abstract   ReferencesPDF (271 K)   February 12, 2022    7 Downloads   626 Views   DOI: 10.54647/mathematics11310

# Volume 6, Issue 6, December 2021

Open Access
Nadia Khan, Fatima Ramazan, Munazza Shamas
Abstract: Let G_n^6 represents the class connected 6-cyclic graphs. In this paper, first some result isderived for the characterization of class connected 6-cyclic graphs. Then we find minimum degree distance of class of connected of 6-cyclic graph. [...] Read more.
Abstract   ReferencesPDF (477 K)   November 15, 2021    12 Downloads   772 Views   DOI: 10.54647/mathematics11289
Open Access
EL Hadji SOW, Moussa FALL, Oumar SALL
Abstract: In this work, we determine the set of algebraic points of degree at most Q over on the curve C given by the affine equation y^{2}= 4x^{5}+1. This result extends a result of Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight and Dan Yasak who described in [1] the set of rational points on this curve [...] Read more.
Abstract   ReferencesPDF (386 K)   December 9, 2021    15 Downloads   751 Views   DOI: 10.54647/mathematics11300
Open Access
PARDI AFFANDI, M.Mahfudz S, Oscar A.B, A. Rahim
Abstract: Dengue Hemorrhagic Fever (DHF) is a disease caused by an arbovirus that enters the human body through the Aedes aegypti or Aedes albopictus mosquito. Dengue Hemorrhagic Fever (DHF) is characterized by symptoms of dengue fever; headache; reddish skin that looks like measles; and muscle and joint pain. In some patients, dengu [...] Read more.
Abstract   ReferencesPDF (377 K)   December 13, 2021    9 Downloads   747 Views   DOI: 10.54647/mathematics11303
Open Access
Baiyu Wang, Wei Liu
Abstract: For the past few years, the meshless method has played a great advantage in solving partial differential equations. In this paper, a local meshless method based on moving least square and local radial basis functions is used to solve the inverse problem of heat conduction equation. The inverse problem is determination of a [...] Read more.
Abstract   ReferencesPDF (798 K)   December 28, 2021    8 Downloads   760 Views   DOI: 10.54647/mathematics11265

# Volume 6, Issue 5, October 2021

Open Access
Cuicui Li, Fang Liu
Abstract: In this paper, we establish the comparison principles via the perturbation method for the equation in , where is a highly degenerate and h- homogeneous operator associ [...] Read more.
Abstract   ReferencesPDF (395 K)   November 9, 2021    10 Downloads   735 Views   DOI: 10.54647/mathematics11292

# Volume 6, Issue 4, August 2021

Open Access
Zul Amry
Abstract: This paper presents a Bayesian analysis of the parameters for the inverse Gaussian distribution under the Jeffrey’s prior assuming a quadratic loss function. Analysis begins with the parameterization to the parameters in the distribution, then construct the posterior distribution based the likelihood function and prior, w [...] Read more.
Abstract   ReferencesPDF (245 K)   October 24, 2021    16 Downloads   609 Views   DOI: 10.54647/mathematics11287

# Volume 6, Issue 3, June 2021

Open Access
Weicheng Xu, Zhendong Zhang, Xiaoyi Feng
Abstract: This study was devoted to extend Cav(u) theorem for repeated games with one-sided incomplete information. The model considered in this paper was based on the typical Aumann-Maschler model. According to the properties of Wasserstein distance, the Cav(u) theorem for repeated games with one-sided incomplete information was gen [...] Read more.
Abstract   ReferencesPDF (318 K)   July 28, 2021    10 Downloads   874 Views   DOI: 10.54647/mathematics11275

# Volume 6, Issue 2, April 2021

Open Access
Jiachen Lv, Yuqiang Feng
Abstract: B-Banach space is an extension of Banach space, which provides a suitable framework for studying many analytical problems. The uniform boundedness theorem is is the basic theorem in functional analysis and has many important applications in many ﬁeld, such as matrix analysis, operator theory, and numerical analysis. In this [...] Read more.
Abstract   ReferencesPDF (192 K)   May 17, 2021    22 Downloads   771 Views   DOI: 10.54647/mathematics11256

# Volume 6, Issue 1, February 2021

Open Access
Abstract: For the well-known nonlinear oscillation equation, we consider a nonlinear mixed characteristic problem, which is a nonlinear analogue of the Darboux problem and consists in the simultaneous definition of a solution and its regular propagation domain. The question of solvability of the formulated problem is solved by the me [...] Read more.
Abstract   ReferencesPDF (221 K)   March 8, 2021    104 Downloads   965 Views   DOI: 10.54647/mathematics11242
Open Access
Eduardo Martinez Escobedo
Abstract: Geneva mechanisms have been used to obtain an output intermittent circular motion by the means of a continuous circular motion. It offers the option of having a rest time with between motions in the output link. This paper is intended to provide the geometric resolution of this mechanisms via number of steps and diameter of [...] Read more.
Abstract   ReferencesPDF (644 K)   March 8, 2021    103 Downloads   1058 Views   DOI: 10.54647/mathematics11243

# Volume 5, Issue 5, October 2020

Open Access
Ferenc Juhász
Abstract: A block random model, studied earlier in economics is introduced for biological sciences. Two approaches which handle participants as species and participants as individuals give pictures on processes from different points of view. In ecology it can provide an opportunity for some intervention to avoid development of danger [...] Read more.

# Volume 5, Issue 4, August 2020

Open Access
Sarah Haqi Abdulwahid, Alaa. M. F. AL. Jumaili
Abstract: The purpose of the present paper is to consider new classes of generalized compact spaces called Еc-(resp. δ-ßc)-compact spaces via Еc-(resp. δ-ßc)-open sets respectively. Several characterizations and fundamental properties concerning of these forms of spaces are obtained. Moreover, some new types of separation axioms in t [...] Read more.

# Volume 5, Issue 3, June 2020

Open Access
Alicia C. Sánchez
Abstract: The RAFU functions have been studied in [1, 2, 3, 4, 5 and 6]. They are useful in Approximation Theory to approach continuous functions and to reconstruct continuous functions. In this work we will use the RAFU functions to turn a discontinuous function into a continuous function. We will show the explicit expression of a s [...] Read more.

# Volume 5, Issue 2, April 2020

Open Access
S. M. Alata, O. T. Wahab, I. F. Usamot
Abstract: Common fixed point, generalized (ψ,φ) weak contraction, complete metric spaces [...] Read more.
Open Access
Junjian Liu
Abstract: Abstract: The order of addition experiment is increasingly used in many scientific fields, such as chemistry，biology and medicine. The existing literature considers order of addition rather than amount combination. In this paper, we consider order of addition experiments with amount effects. A new proposed model incorporate [...] Read more.

# Volume 5, Issue 1, February 2020

Open Access
Zhu Rong Rong
Abstract: Background The twin prime conjecture is considered as a classic puzzle in the history of number theory and one of the most famous conjectures, which has always puzzled us. At the International Congress of Mathematicians in 1900, mathematician David Hilbert presented 23 important mathematical problems and conjectures [...] Read more.

# Volume 4, Issue 6, December 2019

Open Access
Hamza ZEMRANE, Youssef BADDI, Abderrahim HASBI
Abstract: The development of Smart Cities that know our word today depends on the development of the IoT, in this context IoT are applied to develop and optimize may current and future sectors of activities like: health care, home automation, transportation, public services and others. The major issues of safety and comfort in trad [...] Read more.
Open Access
H.-Q. Liu
Abstract: A counterexample is given in Complex analysis. [...] Read more.

# Volume 4, Issue 5, October 2019

Open Access
Ahmed N. K. Alfarra, Hui Xiaofeng, Ehsan Chitsaz, Jaleel Ahmed
Abstract: In this paper, we investigate the countercyclical buffer addressed in the Basel III framework. The ‘countercyclical buffer ‘targets at the extenuation of the supposedly harmful behavior of bank capital. The size of the buffer after the stepwise growths during the application stage finally reaches 2.5%. Therefore, the presen [...] Read more.
Open Access
Serge PERRINE
Abstract: A Pell Fermat equation and its two classes of solutions are discussed. We give a formula for the pairs of positive solutions, written with the Pell numbers, and some new identities involving these numbers. We build an invariant modulo 4 for each class of solutions. [...] Read more.
Open Access
Bohdan Chapaliuk, Yuriy Zaychenko
Abstract: Lung cancer is one of the most aggressive types of cancer, and the possibility to detect it at an early stage can save a lot of patient lives worldwide. Building an automated lung cancer detection system can help to speed up the process of cancer detection and save human lives. This article considers three different approac [...] Read more.

# Volume 4, Issue 4, August 2019

Open Access
Fang-Ming Hsu, Chien-Ho Liao, Qian-Feng Liu
Abstract: Earning profit is always the paramount issue for investors. Many factors have been proved to affect stock returns, although information uncertainty is rarely discussed. This study examines how the effect of investors’ sentiments on stock returns and trading volumes is moderated by information uncertainty. Text mining techno [...] Read more.
Open Access
D.G. Zaccari, C.J. AlturriaLanzardo, J.E. Pérez, J.C. Cesco
Abstract: In this paper, we present two new approximants for the Error Function. The starting point for obtaining them, is to use two alternative integral representations involving improper integrals. Both integrands include the function. Therefore, by replacing by its truncated Taylor's expansion, we obtain a rational approximan [...] Read more.

# Volume 4, Issue 3, June 2019

Open Access
Anika Ferdous, Tania S. Khaleque
Abstract: The present study considered the thermal convection of ferrofluids along a flat plate subject to uniform heat flux and slip velocity in the presence of radiation with a magnetic field applied in the transverse direction. Two different types of ferrofluids are considered: one magnetic nanoparticle (Fe_3 O_4) and one non-magn [...] Read more.

# Volume 4, Issue 2, April 2019

Open Access
Xiaoyang Zheng, Yuling Zeng, Qiulin Huang, Chengyou Luo, Wei wang
Abstract: The Crank-Nicolson and upwind difference schemes are used to solve the one dimensional convection-diffusion equation. Then the numerical solutions obtained and the exact solution are implemented to estimate the parameters, i.e. the convection and diffusion coefficients in this type equation by the least squares method. The [...] Read more.
Open Access
Shinemin Lin, Lewis Hall
Abstract: On April 12, 2018 Dr. Ana-Maria Croica gave a presentation as NSF-Target Infusion Program Seminar Series. Her topic is “An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals. This research is based on Saad-Roy’s Mathematical Model of Anthrax Transmission in Animal Population. I was impre [...] Read more.

# Volume 4, Issue 1, February 2019

Open Access
Peter Kopanov, Miroslav Marinov, Atakan Salimov
Abstract: In this paper we consider cases of the existence of the moments of functions of random variables supported on a bounded interval. Our attention is restricted to the tan function, as a generalization of the Cauchy distribution which is infact the result of applying this function to a uniformly distributed variable. [...] Read more.
Open Access
Guanghai Tang, Ruili Chu
Abstract: To find out the impact of Internet on Residents’ Consumption Structure and Regional Differences, panel data analysis and experimental study were used to analyze China’s provincial panel data from 2003 to 2016. The results show that from the overall level of the country, the Internet development plays a significant role in p [...] Read more.

# Volume 3, Issue 3, June 2018

Open Access
WOLF Marc, WOLF François
Abstract: We study the composite odd numbers via their indices with a function ranging through all of them. This mapping allows us to demonstrate that the set of these indices are described with two families of finite sequences with arithmetic differences. Composite odd numbers are then shown to be obtained as differences of two squa [...] Read more.
Open Access
WOLF Marc, WOLF François, LE COZ Corentin
Abstract: We propose a new algorithm solving the extended gcd problem, which provides a solution minimizing one of the two coordinates. The algorithm relies on elementary arithmetic properties. [...] Read more.

# Volume 3, Issue 2, April 2018

Open Access
Ayman Waziry
Abstract: Science is a matter of asking for information by specifying the difference between fact and opinion. Fact in a scientific context is a generally accepted reality, but still open to scientific inquiry, as opposed to an absolute truth, which is not a part of science. The hypotheses and theories are generally based on objectiv [...] Read more.

# Volume 3, Issue 1, February 2018

Open Access
Yeong-Jeu Sun
Abstract: In this paper, the existence of limit cycles for a class of nonlinear systems is explored. Based on the time-domain approach with differential and integral inequalities, the phenomenon of the stable limit cycle can be accurately verified for such nonlinear systems. Furthermore, the exponentially stable limit cycles, frequen [...] Read more.
Open Access
Lázaro J. Miranda Díaz
Abstract: Radical arithmetic electronic controllers for automatic control of industrial processes, base their operating principle on the use of new mathematical equations deduced specifically for this purpose and they have been reviewed and approved by MsC. Maria Victoria Mederos, professor at the Faculty of mathematics and computer [...] Read more.
Open Access
Alexander V. Evako
Abstract: In the present paper, we study basic properties of digital n-dimensional manifolds and digital simply connected spaces. An important property of a digital n-manifold is that M is a digital n-sphere if and only if for any point v of M, M-v is a digital n-disk. It is proved that a digital (n-1)-sphere S [...] Read more.
Open Access
Xiwu Han
Abstract: This paper at first isolates a group of Monty Hall problems, in which all doors are exhaustively chosen, swapped and revealed one by one, then introduces a new variant of briefer tree diagrams for the conditional probability calculation of three-doors and four-doors, and finally gives the recurrence form for n-doors and its [...] Read more.
Open Access
K.RAJESHWAR REDDY, M.CHENNA KRISHNA REDDY
Abstract: A numerical investigation of an unsteady MHD natural convection flow past an impulsively moving plate with ramped temperature. The dimensionless governing coupled, non- linear boundary layer partial differential equations are solved by a finite element method. The effects of the various dimensionless parameters entering int [...] Read more.

# Volume 2, Issue 3, December 2017

Open Access
Fengxia Zheng
Abstract: In this paper, by introducing the concept of a generalized concave operator and the properties of cone and monotone iterative technique in ordered Banach spaces, some new existence and uniqueness theorems of fixed points for the operator under more extensive conditions are obtained. Finally, as applications, we apply the re [...] Read more.

# Volume 2, Issue 2, April 2017

Open Access
Zdravko Dimitrov Slavov, Christina Slavova Evans
Abstract: In this paper we consider the first general theories of multi-objective mathematical programming. They stem from optimization techniques in economics and are attributed to the economists Francis Edgeworth and Vilfredo Pareto. We will focus our attention on these ideas from a mathematical point of view. [...] Read more.
Open Access
Shinemin Lin, Domenick Thomas
Abstract: Over the past six years, I have integrated student engagement through inquiry- and project-based learning into college mathematics instructions. I attended many workshops about using computation modeling in the classroom supports student learning and reduces student anxiety. Through dynamic modeling students can connect Ma [...] Read more.

# Volume 2, Issue 1, February 2017

Open Access
Behnam Razzaghmaneshi
Abstract: Let be the JS-imprimitive of that is . This group has order 48 and is generated by the matrices... ... [...] Read more.

# Volume 1, Issue 2, December 2016

Open Access
Lam Weng Hoe, Lam Weng Siew
Abstract: Investors wish to minimize the risk and achieve the target rate of return in their investment. The mean-extended Gini model has been proposed in portfolio optimization to minimize the portfolio risk. The mean is used as the expected return of the investors and extended Gini is used as risk measure. The objective function of [...] Read more.
Open Access
Andrii Safonyk
Abstract: In this paper, the mathematical model of biological water treatment by spatial filter was designed. The algorithm of numerical-asymptotic approximation of the solution of the corresponding model problem was developed. It describes a system of nonlinear singularly perturbed differential equations, such as "convection-diffusi [...] Read more.
Open Access
Rafidah Ali, Ani Shabri
Abstract: The tourism industry is an increasingly important national industry for Malaysia. Government policymakers and business managers pay close attention to the development of the tourism industry. In this study, two machine learning methods, artificial neural network (ANN) and support vector machine (SVM) were utilized to predic [...] Read more.

# Volume 1, Issue 1, October 2016

Open Access
Syed Adil Hussain, Taha Hasan Associate Professor
Abstract: This research considers the Bayesian inference & ranking of the domestic News TV channels using method of paired comparisons. Results for analysis are computed in C language and programs’ coding are executed for seven parametric model’s inference. Furthermore, to ensure the appropriateness of the model, the goodness of fit [...] Read more.
Open Access
Omprakash Sikhwal, Yashwant Vyas
Abstract: Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. Generalization of the Fibonacci polynomial has been done using various approaches. One usually found in the literature that the generalization is done by varying the initial conditions. In this paper we s [...] Read more.
Open Access
Munmun Nath, Bijan Nath, Santanu Roy
Abstract: In this article, the notion of different types of statistically convergent and statistically null fuzzy real-valued sequences having multiplicity greater than two is introduced. Some algebraic and topological properties such as solid, monotone, symmetric, convergence free, sequence algebra etc. of these spaces are studied. [...] Read more.
Open Access
Xiaoyang Zheng, Hong Su, Liqiong Qiu, Jiangping He
Abstract: This presents a refined approach for computing integral and product operators by using the rich properties of Legendre wavelet.The most advantages of this refined calculations are that the operational matrices are lower dimensions, coarse and its elements are the same on each subinterval, respectively. The operational matri [...] Read more.
Open Access
Maged G. Bin-Saad, Amani M. Hanballa
Abstract: In this work we will introduce and study a generalized zeta function of the general Hurwitz – Lerch zeta functions. Here, we aim to derive basic properties of generalized zeta function for the general Hurwitz – Lerch zeta functions include some integral representations for several general Hurwitz – Lerch zeta functions a [...] Read more.
Open Access
Li Wang, Assistant Professor, Lei Jin, PhD
Abstract: In past many years, biomathematics population models are constructed based on plausible explicit and implicit biological assumptions. In the case that not enough analysis is carried out for a well-motivated and plausible model, the result is no or minimum insights gained. In this study, existence of Hopf bifurcations of a n [...] Read more.
Open Access
Li WANG, Lei JIN
Abstract: Abstract In this paper, the global, non-vacuum solutions with large amplitude to the initial-boundary value problem of the one-dimensional compressible Navier-Stokes-Poisson system with viscosity and heat conductivity coefficients are considered. The proof is based on the analysis on the positive lower and upper bounds on [...] Read more.
Open Access
Lam Weng Siew, Liew Kah Fai, Lam Weng Hoe
Abstract: Healthcare industry plays an important role in the society and attracts the attention of the public nowadays. Healthcare industry has played a vital role in this world to provide goods and services to enhance quality of life, life expectancy, diagnostic and treatment options as well as the efficiency and cost effectiveness [...] Read more.
Open Access
G.P.S. Rathore, Omprakash Sikhwal, Ritu Choudhary
Abstract: Sequences have been fascinating topic for mathematicians for centuries. The Fibonacci and Lucas sequences are examples of second order recursive sequences. Fibonacci sequence is defined by In recent years, few research scholars have been introduced Fibonacci-Like sequences which are similar to Fibonacci sequences in recur [...] Read more.
Open Access
Abstract: An estimation procedure for Ornstein–Uhlenbeck process drift and volatility coefficients is given. The procedure is based on the maximum likelihood principle andplug-in-estimator. [...] Read more.
Open Access
Dariush Akbarian, Hossein Dibachi
Abstract: Free Replication Hull (FRH) is a special case of the CCR DEA problem in which the convexity axiom is excluded from the PPS of the CCR model and the intensity variables are restricted to the whole numbers. In this paper we propose MAJ-FRH, similar to the ranking method in data envelopment analysis proposed by Mehrabian et al [...] Read more.
Open Access
Dariush Akbarian
Abstract: The out-of-kilter algorithm is one of the basic algorithms that solve the minimum cost flow problem. The aim of this paper is to shows that if the dual of out of kilter formulation has optimal solution then it has integer optimal solution too [...] Read more.
Open Access
Lena J-T Strömberg
Abstract: Solutions to the Navier-Stokes equations for the Millenium Prize Problem are provided. These consist of a transient Pile-Up flow. A proof is given to show that the flow functions satisfy the Boundary Conditions at infinity. The proof for the spatial derivatives of velocity, u, and force, f, relies on decomposition of an exp [...] Read more.
Open Access
Shikha Bhatnagar, Omprakash Sikhwal
Abstract: In this paper, we consider additive pulsating Fibonacci sequences. First, we are introduced additive pulsating Fibonacci sequences of first and second kind. Further, explicit formulas in the form of its members are formulated and proved for additive pulsating Fibonacci sequences of first and second kind. [...] Read more.
Open Access
Shikha Bhatnagar, Omprakash Sikhwal
Abstract: The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci polynomials are introduced and study its properties. Further, some recurrence relations state and derive for generalized Fibonacci polynomials. [...] Read more.
Open Access
Lena J-T Strömberg
Abstract: Rational points on elliptic curves are considered, in the formulation of BSD, and for nonlinear dynamical systems. Method used is the intersection with other curves, for a more general expression of an elliptic curve, known as an extended elliptic curve. It is found that there are elliptic curves with at most 3 rational sol [...] Read more.
Open Access
Yu. N. Zayko
Abstract: The article discusses some of the mathematical results widely used in practice which contain the Riemann ζ-function, and, at first glance, are in contradiction with common sense. A geometric approach is suggested, based on the concept of the curvature of space, in which is calculated an algorithm that specifies the represe [...] Read more.
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