Branched continued fractions are one of the multidimensional generalization of the continued fractions. Branched continued fractions with not equivalent variables are an analog of the regular C-fractions for multiple ...Branched continued fractions are one of the multidimensional generalization of the continued fractions. Branched continued fractions with not equivalent variables are an analog of the regular C-fractions for multiple power series. We consider 1-periodic branched continued fraction of the special form which is an analog fraction with not equivalent variables if the values of that variables are fixed. We establish an analog of the parabola theorem for that fraction and estimate truncation error bounds for that fractions at some restrictions. We also propose to use weight coefficients for obtaining different parabolic regions for the same fraction without any additional restriction for first element.展开更多
The purpose of this article is to investigate the sufficient conditions for the global asymptotic stability of one equilibrium point of a generalized Ricker competition system,……which appears as a model for dynamics...The purpose of this article is to investigate the sufficient conditions for the global asymptotic stability of one equilibrium point of a generalized Ricker competition system,……which appears as a model for dynamics with one extinct species, by applying the technique of average functions and the new principle of competitive exclusion.展开更多
The Wayland algorithm has been improved in order to evaluate the degree of visible determinism for dynamical systems that generate time series. The objective of this study is to show that the Double-Wayland algorithm ...The Wayland algorithm has been improved in order to evaluate the degree of visible determinism for dynamical systems that generate time series. The objective of this study is to show that the Double-Wayland algorithm can distinguish between time series generated by a deterministic process and those generated by a stochastic process. The authors conducted numerical analysis of the van der Pol equation and a stochastic differential equation as a deterministic process and a Ganssian stochastic process, respectively. In case of large S/N ratios, the noise term did not affect the translation error derived from time series data, but affected that from the temporal differences of time series. In case of larger noise amplitudes, the translation error from the differences was calculated to be approximately 1 using the Double-Wayland algorithm, and it did not vary in magnitude. Furthermore, the translation error derived from the differenced sequences was considered stable against noise. This novel algorithm was applied to the detection of anomalous signals in some fields of engineering, such as the analysis of railway systems and bio-signals.展开更多
In this work we try to introduce the concept of Maximal codes that are built over rings, more precisely we will give Maximal codes for special rings, Namely that the notion of maximal codes has been used by Chritophe ...In this work we try to introduce the concept of Maximal codes that are built over rings, more precisely we will give Maximal codes for special rings, Namely that the notion of maximal codes has been used by Chritophe Chapote, these maximal codes are constructed over finite fields, and these codes are used for coding and decoding.展开更多
Bernoulli Numbers are coded with Deterministic Redundancy of Arithmetic Operations, adding and multiplying or exponent, in Natural Number System. And based on the redundancy, a process for obtaining the Bernoulli Numb...Bernoulli Numbers are coded with Deterministic Redundancy of Arithmetic Operations, adding and multiplying or exponent, in Natural Number System. And based on the redundancy, a process for obtaining the Bernoulli Numbers is elaborated.展开更多
This article is based on research on pre-service teachers＇ perspectives on their mathematics knowledge of proof in geometry. The study was framed using tile mathematical knowledge for teaching framework. This qualita...This article is based on research on pre-service teachers＇ perspectives on their mathematics knowledge of proof in geometry. The study was framed using tile mathematical knowledge for teaching framework. This qualitative study employed the use of a task-based worksheet, focus group sessions and semi-structured individual interviews. The task-based worksheet was completed by 180 pre-service mathematics teachers （second, third and fourth year mathematics education students）. Pre-service mathematics teachers are student teachers who have not yet completed their training to become teachers. After the analysis of the task-based worksheet, 20 participants were invited to participate in focus group sessions and individual interviews. The findings of the study reveal that the participants possess peripheral mathematics knowledge of proof in geometry. The study aims at assisting pre-service teachers and interested educationists to explore innovative methods of acquiring and imparting mathematics knowledge of proof in geometry. The study proposes possible changes in curriculum at school and university level.展开更多
This paper studies the efficiency of the public financial management system in a developing country （Cameroon） by using time series data from 2000 to 2012. It shows the impact of characteristics variables of this se...This paper studies the efficiency of the public financial management system in a developing country （Cameroon） by using time series data from 2000 to 2012. It shows the impact of characteristics variables of this sector in the process of sustainable growth. The contribution of these indicators in sustainable development, notably public expenditures, debt servicing or public debt and fiscal revenue is determined by using the Stoehastie Frontier Analysis approach （SFA）. A significant connection between public expenditures, debt servicing and sustainable growth ratio is established by the model studied. The research results show an encouraging but low level of efficiency in State financial management policy. Thus, in order to avoid a sovereign debt crisis that developed countries of Europe are facing these current days, some efforts must continue to be done not only to control the public debt, but also for a better allowance of public expenditures and a good collection of State revenue.展开更多
The integration of the Czech Republic into the process of European space university education formation makes many demands on the higher education system--from creating new legislation and educational conception to ch...The integration of the Czech Republic into the process of European space university education formation makes many demands on the higher education system--from creating new legislation and educational conception to changes in the study programme structure. With regard to the study programme structure, permeability and modular construction of the programme and the actual European Credit Transfer and Accumulation System （ECTS） implementation are some of requirements coming to the fore. The aim of this work is to present an analysis of bachelor study programme Applied Mathematics Structure at the University of Ostrava within the context of the above mentioned requirements.展开更多
Physicists experimentalists use many observations of a phenomenon, which are the unknown equations that describe it, in order to understand the dynamics and obtain information on their future behavior. In this article...Physicists experimentalists use many observations of a phenomenon, which are the unknown equations that describe it, in order to understand the dynamics and obtain information on their future behavior. In this article we study the possibility of reproducing the dynamics of the phenomenon using only a measurement scale. The Whitney immersion theorem ideas are presented and generalization of Sauer for fractal sets to rebuild the asymptotic behavior of the phenomena and to investigate evidence of nonlinear dynamics in the reproduced dynamics using the Brock, Dechert, Scheinkman test (BDS). The applications are made in the financial market which are only known stock prices.展开更多
From the presentation of the full icosahedral group, viewed as a Coxeter group, we construct its Grobner-Shirshov basis and the corresponding standard monomials.
We show asymmetric multi-channel sampling on a series of a shift invariant spaces ∑a^m=1v（φ（ta）） with a series of Riesz generators ∑a^m=1φ（ta） in L2（R）, where each channeled signal is assigned a uniform bu...We show asymmetric multi-channel sampling on a series of a shift invariant spaces ∑a^m=1v（φ（ta）） with a series of Riesz generators ∑a^m=1φ（ta） in L2（R）, where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between ∑a^m=1v（φ（ta））and L2[0, 2π] to find conditions under which there is a stable asymmetric multi-channel sampling formula on ∑a^m=1v（φ（ta））.展开更多
In the article proposed an effective method estimating transfer function model of controlled plant including dead-time delay, based on stochatstic time series of input-output signals. The model structure is modified w...In the article proposed an effective method estimating transfer function model of controlled plant including dead-time delay, based on stochatstic time series of input-output signals. The model structure is modified with parameters optimized until the model error becomes ＂white-noise＂ series that with inough smal auto-correlation function.展开更多
This work aims at potential fields generated by point sources in conductive perforated fragments of spherical shells. Such fields are interpreted as profiles of Green＇s functions of relevant boundary-value problems s...This work aims at potential fields generated by point sources in conductive perforated fragments of spherical shells. Such fields are interpreted as profiles of Green＇s functions of relevant boundary-value problems stated in multiply-connected regions for Laplace equation written in geographical coordinates. Those are efficiently computed by a modification of the method of functional equations, with closed analytical forms preliminary obtained for Green＇s functions for the corresponding simply-connected regions.展开更多
As former Fermatist, the author tried many times to prove Fermat＇s Last Theorem in an elementary way. Just few insights of the proposed schemes partially passed the peer-reviewing and they motivated the subsequent fr...As former Fermatist, the author tried many times to prove Fermat＇s Last Theorem in an elementary way. Just few insights of the proposed schemes partially passed the peer-reviewing and they motivated the subsequent fruitful collaboration with Prof. Mario De Paz. Among the author＇s failures, there is an unpublished proof emblematic of the FLT＇s charming power for the suggestive circumstances it was formulated. As sometimes happens with similar erroneous attempts, containing out-of-context hints, it provides a germinal approach to power sums yet to be refined.展开更多
A fully online MS program in mathematical science using hybrid synchronous instruction developed at the University of West Florida （UWF） has been successfully implemented since fall 2009. Distance students are taugh...A fully online MS program in mathematical science using hybrid synchronous instruction developed at the University of West Florida （UWF） has been successfully implemented since fall 2009. Distance students are taught simultaneously with on-campus students in the same classes. The assessment results show that the developed model is flexible, cost efficient and benefits both groups of students. It also showed that the distance students do as well as the face-to-face students when this model is used.展开更多
A certain constrained dynamic game is shown to be equivalent to a pair of symmetric dual variational problems which have more general formulation than those already existing in the literature. Various duality results ...A certain constrained dynamic game is shown to be equivalent to a pair of symmetric dual variational problems which have more general formulation than those already existing in the literature. Various duality results are proved under convexity and generalized convexity assumptions on the appropriate functionals. The dynamic game is also viewed as equivalent to a pair of dual variational problems without the condition of fixed points. It is also indicated that the equivalent formulation of a pair of symmetric dual variational problems as dynamic generalization of those had been already studied in the literature. In essence, the purpose of the research is to establish that the solution of variational problems yields the solution of the dynamic game.展开更多
Many of people have tried to obtain the structure of Baer-invariant of groups exactly. Recently, B. Mashayekhy and M. Parvizi determine Baer-invariant of finitely generated Abelian groups. Also, it is done for some no...Many of people have tried to obtain the structure of Baer-invariant of groups exactly. Recently, B. Mashayekhy and M. Parvizi determine Baer-invariant of finitely generated Abelian groups. Also, it is done for some non-Abelian groups, such the dihedral and the quaternion groups directly, and sometimes with the softwares of Gap and Magma. But nobody works on non finitely generated Abelian groups. In 1979, M.R.R. Moghaddarn showed that the structure of Baer-invariant of group commutes with the direct limit of a directed system, in some sense. The authors have used these results and proved that the Baer-invariant of C is always trivial and also Baer-invariant of Abelian groups Q/z and Z （p∞）, with respect to the varieties of outer commutators and so polynilpotent, nilpotent are trivial. One can see immediately that the covering groups of these groups are themselves. Then after computing the Baer-invariant of Zn with respect to Burnside variety, we have concluded for Q/z and Z（P∞） Burnside variety. In the future, they try to survey the commutativity of the Baer-invariant variety with the other useful varieties in order to attain similar results for another non finitely generated Abelian groups.展开更多
In the paper the proposition of a discrete, robust, minimal energetic P servo controller for second order plant is presented. The plant under consideration is described with the use of a state space equation and a tra...In the paper the proposition of a discrete, robust, minimal energetic P servo controller for second order plant is presented. The plant under consideration is described with the use of a state space equation and a transfer function with interval parameters. The considered model describes for example an oriented PV （photovoltaic） system. As a controller a P （proportional） controller was applied. It is very simple and their application in the situation we deal with assures the suitable control performance. The controller is going to be implemented at digital platform. To construct the control system a cost function proposed by the authors was applied. It describes both the energy consumption and the sample time of controller. The proposed cost function is a function of plant parameters, describing the dynamics of the plant and controller parameters： proportional gain and sample time. For the cost function a simple geometric interpretation can be given： for fixed plant parameters and varying controller parameters it is a surface in the Ra plane. This fact can be applied to assign of optimal controller. Theoretical results were depicted by a numerical example.展开更多
In this paper we describe the category whose objects are principal ideals of a ring and morphisms are appropriate translations and it is shown that such a category is an abelian category. Further we discuss various pr...In this paper we describe the category whose objects are principal ideals of a ring and morphisms are appropriate translations and it is shown that such a category is an abelian category. Further we discuss various properties of such categories.展开更多
The term ＂Experimental＂ in the title means, that the synthesizer is constructed as tool to conduct experiments, for investigating the influence of environment of unit on sounding of it. Synthesizer as tool for testi...The term ＂Experimental＂ in the title means, that the synthesizer is constructed as tool to conduct experiments, for investigating the influence of environment of unit on sounding of it. Synthesizer as tool for testing of hypotheses and results of experiments, satisfy three conditions： independence from the selection of unit for the synthesis （word or any part of it）; taking into account the environment of unit （left and right hand contexts and position of unit）; independence from the content of base. Such synthesizer is a good tool for studying many aspects of speech and removes the problem of selection. We can vary the unit and other parameters, described in paper, by the same synthesizer, synthesize the same text and listen to the results directly. This paper describes the formal structure of experimental Georgian speech synthesizer.展开更多
文摘Branched continued fractions are one of the multidimensional generalization of the continued fractions. Branched continued fractions with not equivalent variables are an analog of the regular C-fractions for multiple power series. We consider 1-periodic branched continued fraction of the special form which is an analog fraction with not equivalent variables if the values of that variables are fixed. We establish an analog of the parabola theorem for that fraction and estimate truncation error bounds for that fractions at some restrictions. We also propose to use weight coefficients for obtaining different parabolic regions for the same fraction without any additional restriction for first element.
文摘The purpose of this article is to investigate the sufficient conditions for the global asymptotic stability of one equilibrium point of a generalized Ricker competition system,……which appears as a model for dynamics with one extinct species, by applying the technique of average functions and the new principle of competitive exclusion.
文摘The Wayland algorithm has been improved in order to evaluate the degree of visible determinism for dynamical systems that generate time series. The objective of this study is to show that the Double-Wayland algorithm can distinguish between time series generated by a deterministic process and those generated by a stochastic process. The authors conducted numerical analysis of the van der Pol equation and a stochastic differential equation as a deterministic process and a Ganssian stochastic process, respectively. In case of large S/N ratios, the noise term did not affect the translation error derived from time series data, but affected that from the temporal differences of time series. In case of larger noise amplitudes, the translation error from the differences was calculated to be approximately 1 using the Double-Wayland algorithm, and it did not vary in magnitude. Furthermore, the translation error derived from the differenced sequences was considered stable against noise. This novel algorithm was applied to the detection of anomalous signals in some fields of engineering, such as the analysis of railway systems and bio-signals.
文摘In this work we try to introduce the concept of Maximal codes that are built over rings, more precisely we will give Maximal codes for special rings, Namely that the notion of maximal codes has been used by Chritophe Chapote, these maximal codes are constructed over finite fields, and these codes are used for coding and decoding.
文摘Bernoulli Numbers are coded with Deterministic Redundancy of Arithmetic Operations, adding and multiplying or exponent, in Natural Number System. And based on the redundancy, a process for obtaining the Bernoulli Numbers is elaborated.
文摘This article is based on research on pre-service teachers＇ perspectives on their mathematics knowledge of proof in geometry. The study was framed using tile mathematical knowledge for teaching framework. This qualitative study employed the use of a task-based worksheet, focus group sessions and semi-structured individual interviews. The task-based worksheet was completed by 180 pre-service mathematics teachers （second, third and fourth year mathematics education students）. Pre-service mathematics teachers are student teachers who have not yet completed their training to become teachers. After the analysis of the task-based worksheet, 20 participants were invited to participate in focus group sessions and individual interviews. The findings of the study reveal that the participants possess peripheral mathematics knowledge of proof in geometry. The study aims at assisting pre-service teachers and interested educationists to explore innovative methods of acquiring and imparting mathematics knowledge of proof in geometry. The study proposes possible changes in curriculum at school and university level.
文摘This paper studies the efficiency of the public financial management system in a developing country （Cameroon） by using time series data from 2000 to 2012. It shows the impact of characteristics variables of this sector in the process of sustainable growth. The contribution of these indicators in sustainable development, notably public expenditures, debt servicing or public debt and fiscal revenue is determined by using the Stoehastie Frontier Analysis approach （SFA）. A significant connection between public expenditures, debt servicing and sustainable growth ratio is established by the model studied. The research results show an encouraging but low level of efficiency in State financial management policy. Thus, in order to avoid a sovereign debt crisis that developed countries of Europe are facing these current days, some efforts must continue to be done not only to control the public debt, but also for a better allowance of public expenditures and a good collection of State revenue.
文摘The integration of the Czech Republic into the process of European space university education formation makes many demands on the higher education system--from creating new legislation and educational conception to changes in the study programme structure. With regard to the study programme structure, permeability and modular construction of the programme and the actual European Credit Transfer and Accumulation System （ECTS） implementation are some of requirements coming to the fore. The aim of this work is to present an analysis of bachelor study programme Applied Mathematics Structure at the University of Ostrava within the context of the above mentioned requirements.
文摘Physicists experimentalists use many observations of a phenomenon, which are the unknown equations that describe it, in order to understand the dynamics and obtain information on their future behavior. In this article we study the possibility of reproducing the dynamics of the phenomenon using only a measurement scale. The Whitney immersion theorem ideas are presented and generalization of Sauer for fractal sets to rebuild the asymptotic behavior of the phenomena and to investigate evidence of nonlinear dynamics in the reproduced dynamics using the Brock, Dechert, Scheinkman test (BDS). The applications are made in the financial market which are only known stock prices.
文摘From the presentation of the full icosahedral group, viewed as a Coxeter group, we construct its Grobner-Shirshov basis and the corresponding standard monomials.
文摘We show asymmetric multi-channel sampling on a series of a shift invariant spaces ∑a^m=1v（φ（ta）） with a series of Riesz generators ∑a^m=1φ（ta） in L2（R）, where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between ∑a^m=1v（φ（ta））and L2[0, 2π] to find conditions under which there is a stable asymmetric multi-channel sampling formula on ∑a^m=1v（φ（ta））.
文摘In the article proposed an effective method estimating transfer function model of controlled plant including dead-time delay, based on stochatstic time series of input-output signals. The model structure is modified with parameters optimized until the model error becomes ＂white-noise＂ series that with inough smal auto-correlation function.
文摘This work aims at potential fields generated by point sources in conductive perforated fragments of spherical shells. Such fields are interpreted as profiles of Green＇s functions of relevant boundary-value problems stated in multiply-connected regions for Laplace equation written in geographical coordinates. Those are efficiently computed by a modification of the method of functional equations, with closed analytical forms preliminary obtained for Green＇s functions for the corresponding simply-connected regions.
文摘As former Fermatist, the author tried many times to prove Fermat＇s Last Theorem in an elementary way. Just few insights of the proposed schemes partially passed the peer-reviewing and they motivated the subsequent fruitful collaboration with Prof. Mario De Paz. Among the author＇s failures, there is an unpublished proof emblematic of the FLT＇s charming power for the suggestive circumstances it was formulated. As sometimes happens with similar erroneous attempts, containing out-of-context hints, it provides a germinal approach to power sums yet to be refined.
文摘A fully online MS program in mathematical science using hybrid synchronous instruction developed at the University of West Florida （UWF） has been successfully implemented since fall 2009. Distance students are taught simultaneously with on-campus students in the same classes. The assessment results show that the developed model is flexible, cost efficient and benefits both groups of students. It also showed that the distance students do as well as the face-to-face students when this model is used.
文摘A certain constrained dynamic game is shown to be equivalent to a pair of symmetric dual variational problems which have more general formulation than those already existing in the literature. Various duality results are proved under convexity and generalized convexity assumptions on the appropriate functionals. The dynamic game is also viewed as equivalent to a pair of dual variational problems without the condition of fixed points. It is also indicated that the equivalent formulation of a pair of symmetric dual variational problems as dynamic generalization of those had been already studied in the literature. In essence, the purpose of the research is to establish that the solution of variational problems yields the solution of the dynamic game.
文摘Many of people have tried to obtain the structure of Baer-invariant of groups exactly. Recently, B. Mashayekhy and M. Parvizi determine Baer-invariant of finitely generated Abelian groups. Also, it is done for some non-Abelian groups, such the dihedral and the quaternion groups directly, and sometimes with the softwares of Gap and Magma. But nobody works on non finitely generated Abelian groups. In 1979, M.R.R. Moghaddarn showed that the structure of Baer-invariant of group commutes with the direct limit of a directed system, in some sense. The authors have used these results and proved that the Baer-invariant of C is always trivial and also Baer-invariant of Abelian groups Q/z and Z （p∞）, with respect to the varieties of outer commutators and so polynilpotent, nilpotent are trivial. One can see immediately that the covering groups of these groups are themselves. Then after computing the Baer-invariant of Zn with respect to Burnside variety, we have concluded for Q/z and Z（P∞） Burnside variety. In the future, they try to survey the commutativity of the Baer-invariant variety with the other useful varieties in order to attain similar results for another non finitely generated Abelian groups.
文摘In the paper the proposition of a discrete, robust, minimal energetic P servo controller for second order plant is presented. The plant under consideration is described with the use of a state space equation and a transfer function with interval parameters. The considered model describes for example an oriented PV （photovoltaic） system. As a controller a P （proportional） controller was applied. It is very simple and their application in the situation we deal with assures the suitable control performance. The controller is going to be implemented at digital platform. To construct the control system a cost function proposed by the authors was applied. It describes both the energy consumption and the sample time of controller. The proposed cost function is a function of plant parameters, describing the dynamics of the plant and controller parameters： proportional gain and sample time. For the cost function a simple geometric interpretation can be given： for fixed plant parameters and varying controller parameters it is a surface in the Ra plane. This fact can be applied to assign of optimal controller. Theoretical results were depicted by a numerical example.
文摘In this paper we describe the category whose objects are principal ideals of a ring and morphisms are appropriate translations and it is shown that such a category is an abelian category. Further we discuss various properties of such categories.
文摘The term ＂Experimental＂ in the title means, that the synthesizer is constructed as tool to conduct experiments, for investigating the influence of environment of unit on sounding of it. Synthesizer as tool for testing of hypotheses and results of experiments, satisfy three conditions： independence from the selection of unit for the synthesis （word or any part of it）; taking into account the environment of unit （left and right hand contexts and position of unit）; independence from the content of base. Such synthesizer is a good tool for studying many aspects of speech and removes the problem of selection. We can vary the unit and other parameters, described in paper, by the same synthesizer, synthesize the same text and listen to the results directly. This paper describes the formal structure of experimental Georgian speech synthesizer.
