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Controlling and Synchronizing Combined Effect of Chaos Generated in Generalized Lotka-Volterra Three Species Biological Model using Active Control Design
Get PDFIn this work, we study hybrid projective combination synchronization scheme among identical chaotic generalized Lotka-Volterra three species biological systems using active control design. We consider here generalized Lotka-Volterra system containing two predators and one prey population existing in nature. An active control design is investigated which is essentially based on Lyapunov stability theory. The considered technique derives the global asymptotic stability using hybrid projective combination synchronization technique. In addition, the presented simulation outcomes and graphical results illustrate the validation of our proposed scheme. Prominently, both the analytical and computational results agree excellently. Comparisons versus others strategies exhibiting our proposed technique in generalized Lotka-Volterra system achieved asymptotic stability in a lesser time
On the Unsolvability Conditions for Quasilinear Pseudohyperbolic Equations
Get PDFIn this paper, we study the nonexistence of global weak solutions to the Cauchy problem of quasilinear pseudohyperbolic equations with damping term. The sufficient conditions for nonexistence of nontrivial global weak solutions is obtained in terms of exponents, singularities order and other parameters in the problem. The nonlinear capacity method is applied to prove nonexistence theorems. The proofs of our nonexistence theorems are based on deriving apriori estimates for the possible solutions to the problem by an algebraic analysis of the integral form of inequalities with an optimal choice of test functions. The result is extended to the case of coupled system of quasilinear pseudohyperbolic equations
On Submoduloids of a Moduloid on Nexus
Get PDFIn this paper, the submoduloid of a moduloid on nexus that is generated by a subset, cyclic submoduloid and bounded sets are defined and the properties of structures on it are investigated. Also, the fractions of a moduloid on nexus are defined and shown to be isomorphic with a moduloid on nexus
Educational Leaders’ Perspectives Of Working With LGBTQ Youth In Secondary Schools: A Phenomenological Study Of Preparedness, Self-Evaluation, And Reflection Of Professional Experiences
No full textThe challenge of ensuring educational equality is formidable (United States Department of Education, 2020). The quest to ensure equal educational opportunities and experiences for students who identify as Lesbian, Gay, Bi-Sexual, Transgender, Queer/Questioning (LGBTQ) has lasted for decades. The late Congressman John Lewis in 2016 stated “I fought too long and too hard against discrimination based on race and color, not to fight against discrimination based on sexual orientation and gender identity” (Skiles, 2016, p. 1). Many school leaders have a genuine interest in ensuring the school environment is safe, secure and conducive to learning for all students however, many studies reveal a school leader’s self-efficacy is challenged when working with students who identify as LGBTQ. Studies reveal the lack of resources and training as being the main reason leaders shy away from interacting with LGBTQ youth (Bishop, Russell, & Ioverno, 2019).
This qualitative phenomenological descriptive study set out to provide current and future educational leaders with basic tools to use while interacting with LGBTQ students. The study was guided by one central and supporting questions that aligned with five of the seven Keys for Social Justice Leadership Theory. The overarching question for this study was: What are the beliefs, values, experiences, and perceptions of principals and counselors who work with youth who identify as Lesbian, Gay, Bisexual, Transgender, or Queer/Questioning? The study consisted of principals, assistant principals, and counselors who all participated in an interview containing a series of questions about their experience of working with students who are LGBTQ. Interviews were recorded, transcribed and data gathered from each participant was analyzed in which five main themes and eight subthemes emerged. Experiences and Learning, Relationships, Acceptance, Welcoming, Self-reflection and Training were the main themes that emerged from the research.
The results from this study revealed several ideas that will support educational leaders while working with LGBTQ youth. One suggestion was that leaders need time to reflect and interact with other professionals about successful practices in education, to get ideas for leading the staff and students at their campuses. Because the field of education is consistently changing, the need for more studies to address specific areas of concerns, such as a teacher’s experience in working with LGBTQ youth while in the classroom are greatly needed. More importantly derived from the literature and this study is the need to have educational leaders who have a heart to lead and nurture all students for positive change
Detailed solution of the problem of Landau states in a symmetric gauge
No full textUnderstanding the quantum problem of a free charged particle undergoing two-dimensional motion in a perpendicular uniform, constant magnetic field is necessary to the comprehension of some very important phenomena in physics. In particular, a grasp of the nature of the Landau states in a symmetric gauge is crucial to explain the underlying principles of quantum Hall effects. In this work we provide a step-by-step solution of this quantum problem in a pedagogical fashion that is easy to follow by an audience of undergraduate students and prospective physics teachers. This approach should enable undergraduate students to comprehend all the technical mathematical details involved in the process. Such details are routinely missing from mainstream quantum mechanics textbooks. In particular, this study allows a broad audience of students and teachers to gradually absorb knowledge not only on basic principles of quantum mechanics, but also on various special mathematical functions that are encountered in the process
Results for charged disks with different forms of surface charge density
No full textThe equilibrium surface charge density of a charged disk is strikingly different from that of a uniformly charged disk. This dissimilarity is reflected on the corresponding Coulomb electrostatic potentials that they create. However, it is shown in this work that the Coulomb self-energy of these two differently charged disks is not much influenced by the pronounced difference that exists between their corresponding surface charge density distributions
The need for personalized learning and the potential of intelligent tutoring systems
No full textIntelligent Tutoring Systems (ITS) are computer learning environments that offer personalized instruction to help learners master knowledge and skills. ITSs are superior to typical computer-based training because their intelligent algorithms can adapt to the needs of the individual learner at a fine-grained level. However, most ITSs do not take advantage of the inherent benefit of incorporating multiple representations of the knowledge they teach. This chapter discusses how multiple representations can be integrated into a single system using knowledge components, and how this is incorporated into an expanded student model. As an example, we describe ElectronixTutor, which integrates five ITSs as well as a number of other learning resources to teach electronics
Multi model robust PID control of main steam temperature based on gap metric
No full textIn order to adapt to the current construction of smart power plants, thermal power plants put forward higher requirements for the main steam temperature control. The traditional cascade PID control scheme is difficult to achieve satisfactory control quality. In this paper, several models of the main steam temperature plant are classified according to the gap metric, and then the corresponding robust PID controller is designed for different models. The simulation results show that the multi model robust PID control based on gap metric can effectively solve the large delay and nonlinearity of the main steam temperature plant, and the control performance is better than the cascade PID control, which is worth popularizing in engineering application
C# Application to Deal with Neutrosophic g(alpha)-Closed Sets In Neutrosophic Topology
Get PDFIn this paper, we have developed a C# Application for finding the values of the complement, union, intersection and the inclusion of any two neutrosophic sets in the neutrosophic field by using .NET Framework, Microsoft Visual Studio and C# Programming Language. In addition to this, the system can find neutrosophic topology, neutrosophic alpha-closed sets and neutrosophic g(alpha)-closed sets in each resultant screens. Also, this computer-based application produces the complement values of each neutrosophic closed sets
On Fejér type inequalities for convex mappings utilizing generalized fractional integrals
No full textIn this work, we first establish Hermite-Hadamard-Fejér type inequalities for convex function involving generalized fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. Moreover, we obtain some trapezoid type inequalities for these kind of generalized fractional integrals. The results given in this paper provide generalization of several inequalities obtained in earlier studies