Weighted Bisimulation in Linear Algebraic Form

2009 ◽  
pp. 163-177 ◽  
Author(s):  
Michele Boreale
Keyword(s):  
Algebraic Form

PENERAPAN STRATEGI PEMBELAJARAN INQUIRY DENGAN PENDEKATAN CTL (CONTEXTUAL TEACHING AND LEARNING) UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS VIII-D SMPN 4 TAMBANG

2018 ◽  
Vol 2 (2) ◽  
pp. 156
Author(s):  
Zulkifli Zulkifli
Keyword(s):  
Learning Outcomes ◽  
Teaching And Learning ◽  
Student Learning Outcomes ◽  
Average Score ◽  
Mathematics Students ◽  
Algebraic Form ◽  
Student Activity ◽  
Average Value ◽  
The Subject ◽  
Improve Student Learning

This research is based on the low learning outcome of mathematics students of grade VIII SMPN 4 Tambang.The purpose of this research is to improve the learning outcomes of mathematics through the application ofinquiry learning with CTL approach. This research was conducted in SMPN 4 Tambang with subject of classVIII-D students with 29 students. This classroom action research was started in early January 2017. Theresearch instrument consists of a teacher and student activity sheet instrument and a test of learning outcomes.Based on the results of research and discussion can be concluded that the strategy of inquiry learning with CTLapproach can improve student learning outcomes of mathematics on the subject matter of algebraic form inclass VIII-D SMPN 4 Tambang. On the basic score the number of students who reached the KKM as many as 14people (48.28%) with an average score of 58.79. In cycle I the number of students who reach the KKM of 19people (65.52%) with an average value of 65.69%. In cycle II the number reaching KKM is 25 people (86.21%).

Surface and interfacial anti-plane waves in micropolar solids with surface energy

2020 ◽  
pp. 108128652096564
Author(s):  
Mriganka Shekhar Chaki ◽  
Victor A Eremeyev ◽  
Abhishek K Singh
Keyword(s):  
Surface Wave ◽  
Plane Wave ◽  
Numerical Study ◽  
Plane Waves ◽  
Angular Frequency ◽  
Elastic Half Space ◽  
Surface Strain ◽  
Theoretical Frameworks ◽  
Algebraic Form ◽  
New Type

In this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity. Dispersion equations for both models have been obtained in algebraic form for two types of anti-plane wave, i.e. a Love-type wave and a new type of surface wave (due to micropolarity). The angular frequency and phase velocity of anti-plane waves have been analysed through a numerical study within cut-off frequencies. The obtained results may find suitable applications in thin film technology, non-destructive analysis or biomechanics, where the models discussed here may serve as theoretical frameworks for similar types of phenomena.

scholarly journals Desain Bahan Ajar Berbasis Kemampuan Koneksi Matematis Siswa SMP Pada Kelas VII

2019 ◽  
Vol 5 (2) ◽  
pp. 125
Author(s):  
Dani Syahrul Fajar ◽  
Ika Wahyuni ◽  
Dina Pratiwi Dwi Santi
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Design Research ◽  
Situation Analysis ◽  
Teaching Materials ◽  
School Students ◽  
Algebraic Form ◽  
Student Questionnaire ◽  
Three Stages ◽  
Mathematical Connection

The background of this research is the learning obstacle on the material of the VII grade MTs algebraic operating material. This study aims to describe how the design of didactic teaching materials based on the mathematical connection ability of junior high school students in class VII. Subjects in this study were students of MTs PUI Majalengka, 28 students of class VII A to identify learning obstacles and 10 students of class VII A were used as samples for the implementation of teaching materials. The research carried out was a didactic design research consisting of three stages, namely: (1) didactic situation analysis prior to learning in the form of a Didactic Design Hypothesis including ADP, (2) methadactic analysis, and (3) retrosfective analysis. How to collect data by tests, validation of teaching materials, and student questionnaire responses. The results showed that there were three types of obstacle learning. The validation results obtained can be concluded that teaching materials based on students' mathematical connection abilities can be used in learning algebraic form operations. The implementation of this didactic design is in accordance with predictions so that the design of this teaching material can be used as an alternative design of learning algebraic operations learning.

scholarly journals An explicit algebraic model for the subgrid-scale passive scalar flux

2013 ◽  
Vol 721 ◽  
pp. 541-577 ◽  
Author(s):  
Amin Rasam ◽  
Geert Brethouwer ◽  
Arne V. Johansson
Keyword(s):  
Channel Flow ◽  
Rotation Rate ◽  
Model Performance ◽  
Turbulent Channel Flow ◽  
Passive Scalar ◽  
Subgrid Scale ◽  
Scalar Flux ◽  
Algebraic Form ◽  
New Model ◽  
Flux Model

AbstractIn Marstorpet al. (J. Fluid Mech., vol. 639, 2009, pp. 403–432), an explicit algebraic subgrid stress model (EASSM) for large-eddy simulation (LES) was proposed, which was shown to considerably improve LES predictions of rotating and non-rotating turbulent channel flow. In this paper, we extend that work and present a new explicit algebraic subgrid scalar flux model (EASSFM) for LES, based on the modelled transport equation of the subgrid-scale (SGS) scalar flux. The new model is derived using the same kind of methodology that leads to the explicit algebraic scalar flux model of Wikströmet al. (Phys. Fluids, vol. 12, 2000, pp. 688–702). The algebraic form is based on a weak equilibrium assumption and leads to a model that depends on the resolved strain-rate and rotation-rate tensors, the resolved scalar-gradient vector and, importantly, the SGS stress tensor. An accurate prediction of the SGS scalar flux is consequently strongly dependent on an accurate description of the SGS stresses. The new EASSFM is therefore primarily used in connection with the EASSM, since this model can accurately predict SGS stresses. The resulting SGS scalar flux is not necessarily aligned with the resolved scalar gradient, and the inherent dependence on the resolved rotation-rate tensor makes the model suitable for LES of rotating flow applications. The new EASSFM (together with the EASSM) is validated for the case of passive scalar transport in a fully developed turbulent channel flow with and without system rotation. LES results with the new model show good agreement with direct numerical simulation data for both cases. The new model predictions are also compared to those of the dynamic eddy diffusivity model (DEDM) and improvements are observed in the prediction of the resolved and SGS scalar quantities. In the non-rotating case, the model performance is studied at all relevant resolutions, showing that its predictions of the Nusselt number are much less dependent on the grid resolution and are more accurate. In channel flow with wall-normal rotation, where all the SGS stresses and fluxes are non-zero, the new model shows significant improvements over the DEDM predictions of the resolved and SGS quantities.

A Synthesis Algorithm of Three-Revolute Manipulators by Means of the Workspace Contour Algebraic Formulation

1992 ◽  
Author(s):  
Marco Ceccarelli
Keyword(s):  
Multiple Solutions ◽  
Algebraic Form ◽  
Open Chain ◽  
Synthesis Algorithm ◽  
Algebraic Formulation

Abstract A synthesis algorithm of general three-revolute open chain manipulators is proposed making use of an algebraic formulation of the workspace contour, which has been deduced in a previous paper. The algebraic form of the synthesis model allows to formulate some algebraic design equations and to discuss the number and the type of the multiple solutions.

Algebraic Representation of Geometric and Size Tolerances

1995 ◽  
Author(s):  
S. H. Mullins ◽  
D. C. Anderson
Keyword(s):  
Tolerance Analysis ◽  
Design Analysis ◽  
Algebraic Representation ◽  
Dimensional Metrology ◽  
Algebraic Form ◽  
Worst Case ◽  
Mechanical Component ◽  
Analysis And Synthesis ◽  
Statistical Tolerance ◽  
Statistical Tolerance Analysis

Abstract Presented is a method for mathematically modeling mechanical component tolerances. The method translates the semantics of ANSI Y14.5M tolerances into an algebraic form. This algebraic form is suitable for either worst-case or statistical tolerance analysis and seeks to satisfy the requirements of both dimensional metrology and design analysis and synthesis. The method is illustrated by application to datum systems, position tolerances, orientation tolerances, and size tolerances.

Simulation of Mold Filling for Non-Newtonian Fluids - Part 2

2006 ◽  
Vol 3 (2) ◽  
pp. 52-60
Author(s):  
Venkatesh M. Kulkarni ◽  
Chu Wee Liang ◽  
C.W. Tan ◽  
P.A. Aswatha Narayana ◽  
K.N. Seetharamu
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
The Finite Element Method ◽  
Molding Process ◽  
Algebraic Form ◽  
Design Guideline ◽  
Navier Stokes Equations ◽  
Transfer Molding ◽  
Encapsulation Process ◽  
Parametric Studies

This paper deals with the flow in the resin transfer molding process commonly used for IC chip encapsulation in the electronic packaging industry. A solution algorithm is presented for modeling the flow of a non-Newtonian fluid obeying a Power-Law model and the algorithm is used to conduct parametric studies in transfer molding. The flow model uses the Hele-Shaw approximation to solve the Navier-Stokes Equations and a pseudo-concentration algorithm for tracking the interface between the resin and the air. The Finite Element Method is employed to reduce the governing partial differential equations to algebraic form. The model is used to study the flow from the transfer ram into the cavity for different dimensions of transfer molding tools. Parametric studies are carried out to obtain balanced filling for transfer molding configuration. Parametric studies could provide a design guideline to optimize the encapsulation process prior to the setting up of an actual manufacturing set.

Dynamic Equilibrium Configurations of Multibody Systems

2014 ◽  
Vol 619 ◽  
pp. 8-12
Author(s):  
Ju Seok Kang
Keyword(s):  
Iteration Method ◽  
Multibody Systems ◽  
Equilibrium Configuration ◽  
Dynamic Equilibrium ◽  
Mechanical Systems ◽  
Railway Vehicle ◽  
Algebraic Form ◽  
Constrained Mechanical Systems ◽  
Speed Governor ◽  
Equilibrium Configurations

It is difficult to calculate dynamic equilibrium configuration in the mechanical systems, especially with the constraint conditions. In this paper, a method to calculate the dynamic equilibrium positions in the constrained mechanical systems is proposed. The accelerations of independent coordinates are derived in the algebraic form so that the numerical solution is easily obtained by the iteration method. The proposed method has been applied to calculate the dynamic equilibrium configuration for speed governor and the wheelset of railway vehicle.

scholarly journals SOLVABILITY OF THE F4 INTEGRABLE SYSTEM

2001 ◽  
Vol 16 (29) ◽  
pp. 4769-4801 ◽  
Author(s):  
KONSTANTIN G. BORESKOV ◽  
JUAN CARLOS LOPEZ VIEYRA ◽  
ALEXANDER V. TURBINER
Keyword(s):  
Weyl Group ◽  
Differential Operators ◽  
Coupling Constants ◽  
Dimensional Representation ◽  
Algebraic Form ◽  
Finite Dimensional Representation ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Exactly Solvable ◽  
New Variables

It is shown that the F4 rational and trigonometric integrable systems are exactly-solvable for arbitrary values of the coupling constants. Their spectra are found explicitly while eigenfunctions are by pure algebraic means. For both systems new variables are introduced in which the Hamiltonian has an algebraic form being also (block)-triangular. These variables are invariant with respect to the Weyl group of F4 root system and can be obtained by averaging over an orbit of the Weyl group. An alternative way of finding these variables exploiting a property of duality of the F4 model is presented. It is demonstrated that in these variables the Hamiltonian of each model can be expressed as a quadratic polynomial in the generators of some infinite-dimensional Lie algebra of differential operators in a finite-dimensional representation. Both Hamiltonians preserve the same flag of spaces of polynomials and each subspace of the flag coincides with the finite-dimensional representation space of this algebra. Quasi-exactly-solvable generalization of the rational F4 model depending on two continuous and one discrete parameters is found.

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