Vibration Suppression of a Fast Filament Fabrication 3d Printer via Resonance Compensation

Additive manufacturing systems especially 3d printers are made by rigid links which provide sufficient stiffness to give motion to 3d printing head system which are moving at very high speed &acceleration. It has been found out that high-speed manipulators generate vibration problem and 3dprinting head is one of them which encounter significant vibration at high speed and acceleration. Therefore, evolution in mathematical control system is necessary for effective vibration suppression and to allow fast motion of 3d printing head at high speed and acceleration. In this paper we develop experiment where we measure the resonance frequency of our bed swinging 3d printer and with graph we optimized it with mathematical system which allows printer to run 140% faster speed and over 600% higher acceleration with same quality and precision. Keyword: 1. Additive Manufacturing, 2. Complex system development, 3. Mechatronics, 4. Robotics, 5. Physics. 6. Advanced engineering mathematics 7. High speed manipulators.

Dynamic Systems Enhanced by Electronic Circuits on 7D

Hybrid synchronization is one of the most significant aspects of a dynamic system. We achieve nonlinear control unit results to synchronize two comparable 7D structures in this study. Many dynamic systems are directly connected to health care and directly enhance health. We employed linearization and Lyapunov as analytical methods, and since the linearization method does not need updating the Lyapunov function, it is more successful in achieving synchronization phenomena with better outcomes than the Lyapunov method. The two methods were combined, and the result was a striking resemblance to the dynamic system’s mistake. The mathematical system with control and error of the dynamic system was subjected to digital emulation. The digital good outcomes were comparable to the two methods previously stated. We compared the outcomes of three hybrid synchronizations based on Lyapunov and linearization methods. Finally, we used the existing system, presenting it in a new attractor and comparing the findings to those of other similar systems.

“Clinging Stubbornly to the Antithesis of Assumptions”: On the Difference Between Hegel’s and Spinoza’s Systems of Philosophy

This essay re-examines Hegel’s critique of Spinoza’s Ethics, focusing on the question of method. Are the axioms and definitions unmotivated presuppositions that make the attainment of absolute knowledge impossible in principle, as Hegel charges? This essay develops a new reading of the Ethics to defend it from this critique. I argue that Hegel reads Spinoza as if his system were constructed only according to the mathematical second kind of knowledge, ignoring Spinoza’s clear preference for knowledge of the third kind. The Ethics, I argue, is a book with several layers: it is at once a deductive mathematical system, and a handbook to aid the intuitive power of the active philosophical reader. The letter of each text may be identical, but they have little else in common – Pierre Menard’s rewriting of Don Quixote given systematic philosophical form.

Continuous series of symmetric peak profile functions determined by standard deviation and kurtosis

A mathematical system for modeling the effects of symmetrized instrumental aberrations has been developed. The system is composed of the truncated Gaussian, sheared Gaussian, and Rosin-Rammler-type functions. The shape of the function can uniquely be determined by the standard deviation and kurtosis. A practical method to evaluate the convolution with the Lorentzian function and results of application to the analysis of experimental powder diffraction data are briefly described.

An Efficient Discrete Model to Approximate the Solutions of a Nonlinear Double-Fractional Two-Component Gross–Pitaevskii-Type System

In this work, we introduce and theoretically analyze a relatively simple numerical algorithm to solve a double-fractional condensate model. The mathematical system is a generalization of the famous Gross–Pitaevskii equation, which is a model consisting of two nonlinear complex-valued diffusive differential equations. The continuous model studied in this manuscript is a multidimensional system that includes Riesz-type spatial fractional derivatives. We prove here the relevant features of the numerical algorithm, and illustrative simulations will be shown to verify the quadratic order of convergence in both the space and time variables.

Design and implementation of a stability control system for TCP/AQM network

<p><span>In this work, we used a new approach as active queue management (AQM) to avoid data congestion in TCP/IP networks. The new approach is PSO-PI controller which use the proportional-integral controller as a control unit and particle swarm optimization (PSO) algorithm as an optimization technique to improve the performance of the PI controller and therefore improving the performance of TCP/IP networks as a required goal. The optimization control (PSO-PI) is characterized by access to design and choosing the optimal parameters of </span>(K_1 and K_p) <span>to reach optimal solutions in a short way (fewer iterations). The implementation of the PSO algorithm is achieving by using the mathematical system model and M-file and SIMULINK in Mathlab program. Simulation results show good congestion management performance with PSO-PI controller better than the PI controller as AQM in TCP networks, and the proposed method was very fast and required few iterations.</span></p>

Teaching and learning process for mathematization activities: The case of solving maximum and minimum problems

One of the topics within the course of Essential Concepts in School Mathematics (ECSM) for prospective mathematics teachers concerns maximum and minimum problems. This type of problems requires mathematization, i.e., the activity of transforming a problem into a symbolic mathematics problem and of reorganizing within the mathematical system, in the solution process. This research aims to investigate the implementation of the learning and teaching process of the ECSM course that strengthen prospective mathematics teachers’ conceptual understanding and problem solving abilities through mathematization activities. To reach this aim, this qualitative study was conducted through an observation of the learning and teaching process, including the formative written assessment, for the case of maximum and minimum problems, involving 19 students of mathematics education program. The results of this study revealed that the learning and teaching process is implemented by emphasizing the use of a deductive approach. The written assessment showed students’ strategies and difficulties in dealing with maximum and minimum problems. Main difficulties included constructing visual representations and mathematical models in the mathematization processes. It can be concluded that the learning and teaching processes of the ECSM course need to be improved so as to develop better conceptual understanding and problem solving abilities through mathematization activities.

TECHNOLOGY SPACES AND THE DIGITAL LINGUISTIC IN THE HOLY QUR’AN-THE SEMANTICS OF THE DIGITAL SYSTEM IN THE LANGUAGE OF THE QUR’AN-

The world witnessed a tremendous intellectual flow towards technological development in its conceptual, cognitive and technical perspective, in order to reach the highest levels of human knowledge, which had precedence in human existence within Qur'an. This research is focusing on the reproduction of the HolyQur'an miracle in human thought, through the successive researches and scientific studies via the high technology, especially if it's related to the semantic linguistic and its contents translated into the realities of human existence in its real space, which we see in the semantics of the digital system within the language of the Holy Qur'an, and accordingly we will focus on the reality of the emergence of a mathematical system that is well-established in the space of Arabic for the technics of the technological age that we are witnessing today, as the letters, words and sentences in the verses and surahs of the Noble Qur'an come in a precise form bearing connotations, according to a numerical system, a mathematical complex indicative of the language of the Furqan, which the statement and Arabic rhetoric are wrapped in its digital miracle.

CONTROLE DE CAOS NO MODELO NEURONAL DE HINDMARSH-ROSE COM PARÂMETROS INCERTOS

In bioengineering there is a great motivation in studying the Hindmarsh-Rose (HR) neuron model due to the fact that it represents well the biological neuron, making it possible to simulate several behaviors of a real neuron, including periodic, aperiodic and chaotic behaviors, for example. Based on this model, this article proposes applying a linear optimal control design to the uncertain and chaotic behavior established by changes in the parameters of the system. To do so, the mathematical system of the RH model and its chaotic behavior are presented; afterwards, the fixed parametersare replaced by uncertain ones, and the chaotic dynamics of the system is investigated. At last, the linear optimal control is proposed as a method for controlling the chaotic behavior of the model, and numerical simulations are presented to show the efficiency of this proposal.

A Design Approach to Wireless High-Power Transfer to Multiple Receivers with Asymmetric Circuit

Wireless Power Transfer (WPT) system commonly compensates by a symmetric pair of inductor and capacitor on the primary-secondary circuits to use the idea of resonance. It should be noticed that an additional component compensation on the common WPT circuit is able to affect the power transferred to the load. Although it is useful to wirelessly transfer power to multiple receivers, the complexity of the system will increase with the number of receivers as well as the system loses symmetry, and then, it would be difficult to design high power transfer system. This study explores the WPT circuit compensated with a single capacitor in the primary side to transfer high power to dual receivers. Using a single capacitor on the primary side makes the circuit asymmetry, so the idea of resonance cannot be used. To find operating points that maximize transferred power, this paper uses a mathematical optimization technique with several design variables. The NSGA-II (Non-dominated Sorting Genetic Algorithm II) is used to optimize the design variables of the mathematical system model. The results show that the proposed system is able to attain high power even though using only a single capacitor compensation without the idea of resonance.