Balanced Integer Solutions of Linear Equations

2014 ◽  
pp. 173-188
Author(s):  
Konstantinos A. Draziotis
Keyword(s):  
Linear Equations ◽  
Integer Solutions

On Integer Solutions to Linear Equations

2008 ◽  
Vol 12 (1) ◽  
pp. 53-70
Author(s):  
William George Griffiths
Keyword(s):  
Linear Equations ◽  
Integer Solutions

Integer solutions of systems of quadratic equations

1979 ◽  
Vol 86 (3) ◽  
pp. 385-389 ◽  
Author(s):  
J. L. Britton
Keyword(s):  
Linear Equations ◽  
System Of Linear Equations ◽  
Quadratic Equations ◽  
Integer Solutions

As is well known, there is an algorithm for deciding if a system of linear equations with coefficients from the set Z of integers has a solution in integers. The purpose of this paper is to answer the following question: does this remain true if ‘linear’ is replaced by ‘quadratic’?

Integer Solutions to Linear Equations

1984 ◽  
pp. 134-161
Author(s):  
R. T. Gregory ◽  
E. V. Krishnamurthy
Keyword(s):  
Linear Equations ◽  
Integer Solutions

An Algorithm for Systematic Generation of Subscales With Application to a Two-Disk Friction System

1997 ◽  
Author(s):  
Yasir S. Zargar ◽  
Kambiz Farhang
Keyword(s):  
Scaling Law ◽  
Linear Equations ◽  
Constrained Systems ◽  
Algebraic Equations ◽  
Dimensionless Parameters ◽  
Scale Factors ◽  
Linear Algebraic Equations ◽  
Scale Models ◽  
Disk Friction ◽  
Integer Solutions

Abstract In this paper we propound an algorithm for development of scale models of complex physical systems. The algorithm systematically treats the three sub-tasks of scaling, which includes creation of dimensionless parameters, application of scaling law and similitude requirements, and determination of scale factors. Optimum set of dimensionless parameters are obtained in which the pertinent variables with only integer powers appear. This is achieved by seeking integer solutions to appropriate set of linear algebraic equations in the powers, using a simple iterative technique. Application of the scaling law and similitude requirements along with a logarithmic transformation leads to a set of linear algebraic equations in the scale factors. In many applications, over-constrained systems are resulted for which true scaling can not be achieved. Two techniques are introduced in the proposed algorithm which circumvent the difficulty in treating over-constrained systems. The first method is based on a relaxation technique, whereas the second method introduces the concept of auxiliary variables to obtain the least squares solutions to the new set of linear equations. The effectiveness of the algorithm is demonstrated through its application in finding scale models of a two disk friction system.

scholarly journals Research of distribution of information flows in a network

2021 ◽  
Vol 8 (4) ◽  
pp. 821-829
Author(s):  
R. L. Politanskyi ◽  
◽  
O. L. Zarytska ◽  
M. V. Vistak ◽  
V. V. Vlasenko ◽  
...  
Keyword(s):  
Linear Equations ◽  
Information Flows ◽  
Equivalent System ◽  
System Matrix ◽  
Input And Output ◽  
Gaussian Method ◽  
Flow Intensity ◽  
Integer Solutions

The algorithm for determining information flows in the network is developed and studied, taking into account restrictions on the input and output flows values in each node of the system. The algorithm is based on the Gaussian method of solving linear equations systems in case when the rank of the equivalent system matrix, is less than the number of unknown variables in the system. Using this algorithm, the capacities of sets of the integer solutions for networks with 2 nodes (flow intensity up to 200), 3 nodes (flow intensity up to 20) and 4 nodes (flow intensity up to 10) are calculated.

The influence of extrinsic motivation and work experience on employee performance (Case study in the Serang Baru Sub-district, Bekasi District)

2020 ◽  
Vol 5 (02) ◽  
pp. 167
Author(s):  
Nur’enny Nur’enny ◽  
Rahmat Hidayat
Keyword(s):  
Work Experience ◽  
Extrinsic Motivation ◽  
Employee Performance ◽  
Linear Equations ◽  
Test Reliability ◽  
Coefficient Of Determination ◽  
District Office ◽  
Normality Test ◽  
Observation Methods ◽  
Saturated Sample

This study aims to obtain information about extrinsic motivation and work experience and its effect on employee performance in the Serang Baru District Office. This study uses a saturated sample so that the population is the same as the sample of 80 employees, at the Serang Baru District Office. The method used is validation test, reliability test, then classical assumption test, which includes normality test and multicollinearity, as well as heteroscedasticity test, multiple linear analysis test, multiple linear equations, F test, coefficient of determination, and t test. The data of this research used observation methods and questionnaires distributed to 80 samples which were addressed to employees of the Serang Baru District Office. Based on the results of research and discussion, it can be concluded: 1) Extrinsic motivation does not affect employee performance because employees are willing to work more than expected regardless of extrinsic motivation or not. 2) Employee performance is strongly influenced by work experience. The more experience, they get while working, the more knowledge they will get. 3) Employee performance will be better with the support of experienced employees so as to increase the level of output produced.             Keywords: Employee Performance, Extrinsic Motivation, Work Experience

Optimization of Linear Equations using Genetic Algorithms

2011 ◽  
Vol 2 (3) ◽  
pp. 56-58
Author(s):  
Roshni .V Patel ◽  
◽  
Jignesh. S Patel
Keyword(s):  
Genetic Algorithms ◽  
Linear Equations
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