Profile of Student's Mathematical Representation Translation on the Verbal Problem

This study aimed to identify the proportion of diversity and suitability of narrative mathematical questions with SOLO taxonomy level and mathematical power ability. The research was conducted through quantitative descriptive. Sources of data in the forms of narrations contained in mathematics textbooks. The research procedure was conducted by making the classification and determining the percentage of the narrations based on the compatibility of SOLO taxonomy and the mathematical power ability. The results showed that, the narrative mathematical questions with uni-structural level are of 7.5%, multi-structural of 33.8%, relational of 46.6% and extended abstract of 12.1 %. In terms of compatibility of the narrative questions were able to measure 23% reasoning aspect, 18% problem solving, 8.3% connection, 28% communication and 22.6% mathematical representation. In general, mathematics textbooks as the object of research should be revised, since they have not yet achieved the ideal alignment between SOLO taxonomy based on grade level and the objective of learning develop mathematical power

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Entanglement

10.1093/oso/9780198714057.003.0003 ◽

2017 ◽

Author(s):

Richard Healey

Keyword(s):

Quantum Theory ◽

Quantum State ◽

Physical Condition ◽

Physical System ◽

Polarization State ◽

Quantum Systems ◽

Ghz State ◽

Mathematical Representation ◽

Entangled State ◽

Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

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Design, Construction, and Control for an Underwater Vehicle Type Sepiida

Robotica ◽

10.1017/s0263574720000739 ◽

2020 ◽

pp. 1-18

Author(s):

M. Garcia ◽

P. Castillo ◽

E. Campos ◽

R. Lozano

Keyword(s):

Embedded System ◽

Closed Loop ◽

Underwater Vehicle ◽

Mathematical Representation ◽

Closed Loop System ◽

Vehicle Type ◽

Mathematical Equations ◽

And Control ◽

Design Construction

SUMMARY A novel underwater vehicle configuration with an operating principle as the Sepiida animal is presented and developed in this paper. The mathematical equations describing the movements of the vehicle are obtained using the Newton–Euler approach. An analysis of the dynamic model is done for control purposes. A prototype and its embedded system are developed for validating analytically and experimentally the proposed mathematical representation. A real-time characterization of one mass is done to relate the pitch angle with the radio of displacement of the mass. In addition, first validation of the closed-loop system is done using a linear controller.

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Lane Departure Warning Estimation Using Yaw Acceleration

Open Engineering ◽

10.1515/eng-2021-0008 ◽

2020 ◽

Vol 11 (1) ◽

pp. 102-111

Author(s):

Em Poh Ping ◽

J. Hossen ◽

Wong Eng Kiong

Keyword(s):

Vehicle Dynamics ◽

Dynamic Responses ◽

Dynamics Simulation ◽

Steering Wheel ◽

Mathematical Representation ◽

Vehicle Speed ◽

Lane Departure Warning ◽

Model Based ◽

Lane Departure ◽

Proposed Model

AbstractLane departure collisions have contributed to the traffic accidents that cause millions of injuries and tens of thousands of casualties per year worldwide. Due to vision-based lane departure warning limitation from environmental conditions that affecting system performance, a model-based vehicle dynamics framework is proposed for estimating the lane departure event by using vehicle dynamics responses. The model-based vehicle dynamics framework mainly consists of a mathematical representation of 9-degree of freedom system, which permitted to pitch, roll, and yaw as well as to move in lateral and longitudinal directions with each tire allowed to rotate on its axle axis. The proposed model-based vehicle dynamics framework is created with a ride model, Calspan tire model, handling model, slip angle, and longitudinal slip subsystems. The vehicle speed and steering wheel angle datasets are used as the input in vehicle dynamics simulation for predicting lane departure event. Among the simulated vehicle dynamic responses, the yaw acceleration response is observed to provide earlier insight in predicting the future lane departure event compared to other vehicle dynamics responses. The proposed model-based vehicle dynamics framework had shown the effectiveness in estimating lane departure using steering wheel angle and vehicle speed inputs.

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Mathematical representation of Wind Turbine Power reliability

Journal of Physics Conference Series ◽

10.1088/1742-6596/1921/1/012126 ◽

2021 ◽

Vol 1921 ◽

pp. 012126

Author(s):

D Indhumathy ◽

D Narmatha ◽

T Rojamary

Keyword(s):

Wind Turbine ◽

Mathematical Representation ◽

Power Reliability

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Philosophical Aspects of Astrobiology Revisited

Philosophies ◽

10.3390/philosophies6030055 ◽

2021 ◽

Vol 6 (3) ◽

pp. 55

Author(s):

Rainer E. Zimmermann

Keyword(s):

Dynamical Systems ◽

First Principles ◽

Special Form ◽

Mathematical Representation ◽

Dynamical Structure ◽

Twistor Theory ◽

Fundamental Physics ◽

Physical Universe ◽

The World ◽

Traditional Sense

Given the idea that Life as we know it is nothing but a special form of a generically underlying dynamical structure within the physical Universe, we try to introduce a concept of Life that is not only derived from first principles of fundamental physics, but also metaphysically based on philosophical assumptions about the foundations of the world. After clarifying the terminology somewhat, especially with a view to differentiating reality from modality, we give an example for a mathematical representation of what the substance of reality (in the traditional sense of metaphysics) could actually mean today, discussing twistor theory as an example. We then concentrate on the points of structural emergence by discussing the emergence of dynamical systems and of Life as we know it, respectively. Some further consequences as they relate to meaning are discussed in the end.

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Virtual Router Design and Modeling for Future Networks with QoS Guarantees

Electronics ◽

10.3390/electronics10101139 ◽

2021 ◽

Vol 10 (10) ◽

pp. 1139

Author(s):

Mykola Beshley ◽

Natalia Kryvinska ◽

Halyna Beshley ◽

Oleg Yaremko ◽

Julia Pyrih

Keyword(s):

Quality Of Service ◽

Dynamic Reconfiguration ◽

Future Internet ◽

End Users ◽

Mathematical Representation ◽

Optimal Parameters ◽

Resource Virtualization ◽

Virtual Routers ◽

Network Device

A virtual router model with a static and dynamic resource reconfiguration for future internet networking was developed. This technique allows us to create efficient virtual devices with optimal parameters (queue length, queue overflow management discipline, number of serving devices, mode of serving devices) to ensure the required level of quality of service (QoS). An analytical model of a network device with virtual routers is proposed. By means of the mentioned mathematical representation, it is possible to determine the main parameters of the virtual queue system, which are based on the first in, first out (FIFO) algorithm, in order to analyze the efficiency of network resources utilization, as well as to determine the parameters of QoS flows, for a given intensity of packets arrival at the input interface of the network element. In order to research the guaranteed level of QoS in future telecommunications networks, a simulation model of a packet router with resource virtualization was developed. This model will allow designers to choose the optimal parameters of network equipment for the organization of virtual routers, which, in contrast to the existing principle of service, will provide the necessary quality of service provision to end users in the future network. It is shown that the use of standard static network device virtualization technology is not able to fully provide a guaranteed level of QoS to all present flows in the network by the criterion of minimum delay. An approach for dynamic reconfiguration of network device resources for virtual routers has been proposed, which allows more flexible resource management at certain points in time depending on the input load. Based on the results of the study, it is shown that the dynamic virtualization of the network device provides a guaranteed level of QoS for all transmitted flows. Thus, the obtained results confirm the feasibility of using dynamic reconfiguration of network device resources to improve the quality of service for end users.

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Cognitive Profiling of Nodes in 6G through Multiplex Social Network and Evolutionary Collective Dynamics

Future Internet ◽

10.3390/fi13050135 ◽

2021 ◽

Vol 13 (5) ◽

pp. 135

Author(s):

Marialisa Scatá ◽

Barbara Attanasio ◽

Aurelio La Corte

Keyword(s):

Social Network ◽

Complex Systems ◽

Communication Networks ◽

Digital Health ◽

Evolutionary Game ◽

Mathematical Representation ◽

Collective Dynamics ◽

Self Organized ◽

Learning And Cognition ◽

Application Fields

Complex systems are fully described by the connectedness of their elements studying how these develop a collective behavior, interacting with each other following their inner features, and the structure and dynamics of the entire system. The forthcoming 6G will attempt to rewrite the communication networks’ perspective, focusing on a radical revolution in the way entities and technologies are conceived, integrated and used. This will lead to innovative approaches with the aim of providing new directions to deal with future network challenges posed by the upcoming 6G, thus the complex systems could become an enabling set of tools and methods to design a self-organized, resilient and cognitive network, suitable for many application fields, such as digital health or smart city living scenarios. Here, we propose a complex profiling approach of heterogeneous nodes belonging to the network with the goal of including the multiplex social network as a mathematical representation that enables us to consider multiple types of interactions, the collective dynamics of diffusion and competition, through social contagion and evolutionary game theory, and the mesoscale organization in communities to drive learning and cognition. Through a framework, we detail the step by step modeling approach and show and discuss our findings, applying it to a real dataset, by demonstrating how the proposed model allows us to detect deeply complex knowable roles of nodes.

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An Equivalent Circuit Approach to Evaluating Conductivity of Polymer-Filler Composites

MRS Proceedings ◽

10.1557/proc-734-b9.19 ◽

2002 ◽

Vol 734 ◽

Author(s):

Vladislav Skorokhod

Keyword(s):

Equivalent Circuit ◽

Equivalent Circuit Model ◽

Conductive Filler ◽

Size Ratio ◽

Particulate Composites ◽

Mathematical Representation ◽

Matrix Size ◽

Linear System Of Equations ◽

Polymer Filler

ABSTRACTAn equivalent circuit model of electrical conduction in polymer-filler particulate composites was developed in this study. The equivalent circuit was constructed for an individual composite particle with a sub-monolayer of conductive filler, where the filler particles play the role of circuit nodes, and inter-particle contacts are represented by resistors between the nodes. The mathematical representation of the equivalent circuit in the form of a linear system of equations for nodal potentials was solved numerically with Matlab software to calculate conductance of the composite as a function of the amount of conductive filler, filled fraction of the monolayer, filler-to-matrix size ratio and the degree of structuredness (non-randomness) of the filler material. Additionally, percolation concentrations and statistical distributions of composite conductance were calculated as functions of the filler-to-matrix size ratio.

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