scholarly journals On the differential equations of H. Lewy

1961 ◽  
Vol 2 (1) ◽  
pp. 11-16
Author(s):  
W. B. Smith-White
Keyword(s):  
Differential Equations ◽  
Special Form ◽  
Linear Equations ◽  
Systems Of Equations ◽  
Independent Variables ◽  
Image Position ◽  
Two Independent Variables

It is known that the theory of Cauchy's problem for differential equations with two independent variables is réducible to the corresponding problem for systems of quasi-linear equations. The reduction is carried further, by means of the theory of characteristics, to the case of systems of equations of the special form first considered by H. Lewy [1]. The simplest case is that of the pair of equationswhere the aii depend on z1 and z2. The problem to be considered is that of finding functions z1(x, y), z2(x, y) which satisfy (1) and which take prescribed values on x + y = 0.

scholarly journals Theoretical Prediction of Thermophysical Properties of Waste Beef Tallow Biodiesel

2020 ◽  
Author(s):  
Gokul Raghavendra Srinivasan ◽  
Ranjitha Jambulingam
Keyword(s):  
Molecular Weight ◽  
Beef Tallow ◽  
Linear Equations ◽  
Carbon Chain ◽  
Carbon Chain Length ◽  
Independent Variables ◽  
Degree Of Unsaturation ◽  
Carbon Molecules ◽  
Thermo Physical Properties ◽  
Two Independent Variables

In this present study, simple linear equations were developed for predicting the thermo-physical properties of beef tallow biodiesel by considering their molecular weight and number of double bonds as two independent variables. Interestingly, molecular weight signifies as a function of carbon chain length and number of carbon molecules in it whereas numbers of double bond signifies the degree of unsaturation.

scholarly journals PENGARUH RASIO PROFITABILITAS, RASIO SOLVABILITAS DAN RASIO NILAI PASAR TERHADAP RETURN SAHAM PERUSAHAAN REAL ESTATE DAN PROPERTI

2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Desy Dwi Nestanti
Keyword(s):  
Real Estate ◽  
Stock Returns ◽  
Linear Equations ◽  
Financial Ratios ◽  
Analysis Tool ◽  
Linear Regression Equation ◽  
Return On Equity ◽  
Book Value ◽  
Independent Variables ◽  
Independent Variable

The purpose of this study was to analyze the influence of financial ratios, as measured by the ratio of profitability, solvability ratio and the ratio of the market value of the stock returns of real estate companies and property and to determine which variables are the most significant effect on stock returns. The analysis tool used is multiple linear equations with multiple regresion method for the analysis of the influence of the independent variable on the dependent variable. This model was chosen because the study was designed to determine the independent variables that have an influence on the dependent variable. The result of F test (simultaneous) shows that the financial ratios of return on equity and price to book value have a significant effect on stock returns and partial results showed that the variable return on equity have a significant effect on the analysis tehadap return saham. Berdasarkan diterdapat variables have a significant influence on stock returns. The variable that has no significant effect on stock returns are removed from the multiple linear regression equation. So the result shows that the return on equity and price to book value have a significant effect on stock returns.

scholarly journals Theoretical Prediction of Thermophysical Properties of Waste Beef Tallow Biodiesel

2020 ◽  
Author(s):  
Gokul Raghavendra Srinivasan ◽  
Ranjitha Jambulingam
Keyword(s):  
Molecular Weight ◽  
Beef Tallow ◽  
Linear Equations ◽  
Carbon Chain ◽  
Carbon Chain Length ◽  
Independent Variables ◽  
Degree Of Unsaturation ◽  
Carbon Molecules ◽  
Thermo Physical Properties ◽  
Two Independent Variables

In this present study, simple linear equations were developed for predicting the thermo-physical properties of beef tallow biodiesel by considering their molecular weight and number of double bonds as two independent variables. Interestingly, molecular weight signifies as a function of carbon chain length and number of carbon molecules in it whereas numbers of double bond signifies the degree of unsaturation.

Risk of Falling in Older Women

2015 ◽  
Vol 11 (01) ◽  
pp. 1-12 ◽  
Author(s):  
Laura Armas ◽  
Joan Lappe ◽  
Veronica J. Slavik ◽  
Kellan Slattery ◽  
Shih-Chuan Cheng ◽  
...  
Keyword(s):  
Older Women ◽  
Linear Equations ◽  
Medication Use ◽  
Weighted Average ◽  
Risk Of Falling ◽  
Independent Variables ◽  
Causal Variables

We propose a weighted average approach to measure the risk of falling in older women. We consider four causal variables of falling, namely serum 25-OHD levels, medication use, fracture, and age. We use five methods to derive linear equations with these four factors as independent variables in the linear equations with risk of falling as the dependent variable.

scholarly journals Non-destructive equations to estimate the leaf area of Styrax pohlii and Styrax ferrugineus

2014 ◽  
Vol 74 (1) ◽  
pp. 222-225 ◽  
Author(s):  
MC Souza ◽  
G Habermann
Keyword(s):  
Linear Regression ◽  
Leaf Area ◽  
Linear Equations ◽  
Independent Variables ◽  
Leaf Dimensions ◽  
Independent Variable ◽  
Non Destructive ◽  
Linear Regressions

We developed linear equations to predict the leaf area (LA) of the species Styrax pohlii and Styrax ferrugineus using the width (W) and length (L) leaf dimensions. For both species the linear regression (Y=α+bX) using LA as a dependent variable vs. W × L as an independent variable was more efficient than linear regressions using L, W, L2 and W2 as independent variables. Therefore, the LA of S. pohlii can be estimated with the equation LA=0.582+0.683WL, while the LA of S. ferrugineus follows the equation LA=−0.666+0.704WL.

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