scholarly journals Laplace-Type Semi-Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
F. M. Mahomed ◽  
A. Qadir ◽  
A. Ramnarain
Keyword(s):  
Hyperbolic Equations ◽  
Hyperbolic Partial Differential Equations ◽  
Integration Theory ◽  
Equivalence Transformations ◽  
Complex Scalar ◽  
Hyperbolic Pdes ◽  
Independent Variables ◽  
Dependent Variables ◽  
Two Independent Variables ◽  
Linear Hyperbolic Equations

In 1773 Laplace obtained two fundamental semi-invariants, called Laplace invariants, for scalar linear hyperbolic partial differential equations (PDEs) in two independent variables. He utilized this in his integration theory for such equations. Recently, Tsaousi and Sophocleous studied semi-invariants for systems of two linear hyperbolic PDEs in two independent variables. Separately, by splitting a complex scalar ordinary differential equation (ODE) into its real and imaginary parts PDEs for two functions of two variables were obtained and their symmetry structure studied. In this work we revisit semi-invariants under equivalence transformations of the dependent variables for systems of two linear hyperbolic PDEs in two independent variables when such systems correspond to scalar complex linear hyperbolic equations in two independent variables, using the above-mentioned splitting procedure. The semi-invariants under linear changes of the dependent variables deduced for this class of hyperbolic linear systems correspond to the complex semi-invariants of the complex scalar linear hyperbolic equation. We show thatthe adjoint factorization corresponds precisely to the complex splitting. We also study the reductions and the inverse problem when such systems of two linear hyperbolic PDEs arise from a linear complex hyperbolic PDE. Examples are given to show the application of this approach.

Effect of direct and indirect contact with mental illness on dangerousness and social distance

2017 ◽  
Vol 64 (2) ◽  
pp. 112-119 ◽  
Author(s):  
Minhwa Lee ◽  
Mikyung Seo
Keyword(s):  
Mental Illness ◽  
Standard Deviation ◽  
Interaction Effect ◽  
Social Distance ◽  
Direct Contact ◽  
Indirect Contact ◽  
Independent Variables ◽  
Main Effect ◽  
Dependent Variables ◽  
Two Independent Variables

Background: This study is based on the contact hypothesis that contact with mental illness is the most effective anti-stigma strategy. Aims: This study aims to analyze which form of contact can most effectively decrease the dangerousness and social distance associated with schizophrenia, depression and alcoholism. Method: In total, 573 Korean adults ( Mage = 43.71 years, standard deviation ( SD) = 13.41; 54.1% male, 45.9% female) were surveyed about randomly assigned vignettes of schizophrenia, depression and alcoholism. The participants were questioned on the dangerousness and social distance associated with the assigned vignette, as well as direct and indirect contact experience with the mental illness. Two-way analysis of variance (ANOVA) was used to determine the main effect and interaction effect that the type of mental illness and contact experience have on the two dependent variables (dangerousness and social distance). Results: The findings show that the type of mental illness has a significant main effect on dangerousness and social distance, but contact type only has a significant main effect on social distance. Moreover, the two independent variables (mental illness subtype and contact experience) have an interaction effect on two dependent variables (dangerousness and social distance). Therefore, the anti-stigma effect of contact varies according to the type of mental illness. Conclusion: Our findings suggest that appropriate anti-stigma strategies are required for each type of mental illness. Considering that opportunities for direct contact with persons with mental illness are highly limited, it is necessary to actively utilize indirect contact.

An Investigation of the Effect of Latency on the Operator’s Trust and Performance for Manual Multi-robot Teleoperated Tasks

2017 ◽  
Vol 61 (1) ◽  
pp. 390-394 ◽  
Author(s):  
Hunter Rogers ◽  
Amro Khasawneh ◽  
Jeffery Bertrand ◽  
Kapil Chalil Madathil
Keyword(s):  
Confidence Level ◽  
Search And Rescue ◽  
The Other ◽  
Repeated Measure ◽  
Independent Variables ◽  
Subjective Workload ◽  
Dependent Variables ◽  
Independent Variable ◽  
And Performance ◽  
Two Independent Variables

Latency is an important factor when conducting teleoperated missions. This study investigates the effects of latency on a set of dependent variables: performance (measured by time and number of errors), subjective workload, trust, and usability. These measures were tested in a simulated search-and-rescue mission over two levels of two independent variables. One independent variable was the number of robots – one or two (within-subject), and the other independent variable was latency – simulations with and without latency (between-subject.) The significant effect of the independent variables on the dependent variables were checked using repeated measure two-way ANOVA with a confidence level of 95%. The data determined any significant effects that latency and/or the number of robots had on such factors as errors, dependability, reliability, harmful outcomes, temporal demand, and frustration.

scholarly journals PENGARUH KONFLIK KERJA DAN STRES KERJA TERHADAP TURNOVER INTENTION PEGAWAI MADRASAH ALIYAH ASWAJ AMBUNTEN

2021 ◽  
Vol 2 (1) ◽  
pp. 43-49
Author(s):  
Mohammad Rofik
Keyword(s):  
Work Stress ◽  
Turnover Intention ◽  
Total Population ◽  
Independent Variables ◽  
Work Conflict ◽  
Dependent Variables ◽  
Saturated Sample ◽  
Data Collection Technique ◽  
A Company ◽  
Two Independent Variables

This research was conducted to find out why employees perform Turnover Intention. This study was conducted on employees who work at Madrasah Aliyah Aswaj Ambunten Timur. Turnover Intention is defined as the intensity of employees who want to resign from a company or institution where they work. There are two independent variables in this study, namely work conflict and work stress. The data collection technique used a questionnaire with several indicators of independent and dependent variables. The sample in this study used a saturated sample where the total population was the same as the number of samples, namely 47 employees.

scholarly journals PENGARUH DEBT TO EQUITY RATIO DAN FIRM SIZE TERHADAP NILAI PERUSAHAAN DENGAN RETURN ON EQUITY SEBAGAI VARIABEL INTERVENING PADA PERUSAHAAN YANG TERDAFTAR DI JAKARTA ISLAMIC INDEX (JII) PERIODE 2016-2018

2020 ◽  
Vol 6 (1) ◽  
pp. 15-29
Author(s):  
Indah Khairunnisa ◽  
Mismiwati Mismiwati ◽  
Bunga Mar’atush Shalihah
Keyword(s):  
Firm Size ◽  
Firm Value ◽  
Return On Equity ◽  
Book Value ◽  
Independent Variables ◽  
Company Value ◽  
Dependent Variables ◽  
Equity Ratio ◽  
Intervening Variables ◽  
Two Independent Variables

The Study investigated the influence of Debt to Equity Ratio and Firm Size on Firm Value with Return On Equity as intervening variables in Jakarta Islamic Index (JII) in 2016-2018. This study uses two independent variables that Debt to Equity Ratio and Firm Size. The dependent variables used in this study is the Company Value with indicators of Price to Book Value. While the intervening variable used in this study is Return On Equity. The result showed that there was a positive and significant effect Debt to Equity Ratio on Return On Equity. There was a negative and not significant Firm Size on Return On Equity. Debt to Equity Ratio has no significant effect on Firm Value. Firm Size has no significant effect on Firm Value. There wasa positive and significant effect Return On Equity on Firm Value. Return On Equity is mediating the effect of Debt to Equity Ratio on Firm Value (Partial Mediation). Return On Equity is mediating the effect of Firm Size on Firm Value (Partial Mediation).

scholarly journals Memoir on the integration of partial differential equations of the second order in three independent variables, when an intermediary integral does not exist in general

1898 ◽  
Vol 62 (379-387) ◽  
pp. 283-285
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
General Feature ◽  
Partial Differential ◽  
First Order ◽  
Independent Variables ◽  
Dependent Variables ◽  
Two Independent Variables

The general feature of most of the methods of integration of any partial differential equation is the construction of an appropriate subsidiary system and the establishment of the proper relations between integrals of this system and the solution of the original equation. Methods, which in this sense may be called complete, are possessed for partial differential equations of the first order in one dependent variable and any number of independent variables; for certain classes of equations of the first order in two independent variables and a number of dependent variables; and for equations of the second (and higher) orders in one dependent and two independent variables.

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