PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem
Por um escritor misterioso
Last updated 10 julho 2024
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://d3i71xaburhd42.cloudfront.net/40890436b6511a579be57c676d175ebbd8293125/1-Table1-1.png)
In this paper we provide a new parametrization for the diophantine equation $A^2+B^2+C^2=3D^2$ and give a series of corollaries. We discuss some connections with Lagrange's four-square theorem. As applications, we find new parameterizations of equilateral triangles and regular tetrahedrons having integer coordinates in three dimensions.
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://www.mdpi.com/sensors/sensors-23-05806/article_deploy/html/images/sensors-23-05806-g001.png)
Sensors, Free Full-Text
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://upload.wikimedia.org/wikipedia/commons/thumb/9/96/Euclid%27s_algorithm_Book_VII_Proposition_2_3.svg/800px-Euclid%27s_algorithm_Book_VII_Proposition_2_3.svg.png)
Euclidean algorithm - Wikipedia
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://pubs.acs.org/cms/10.1021/ct500853q/asset/images/medium/ct-2014-00853q_0009.gif)
Systematic Procedure To Parametrize Force Fields for Molecular
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://d3i71xaburhd42.cloudfront.net/40890436b6511a579be57c676d175ebbd8293125/1-Table1-1.png)
PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/45306861/1/500x640/mat-280-multivariable-calculus.jpg)
MAT 280: Multivariable Calculus
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41535-022-00460-8/MediaObjects/41535_2022_460_Fig1_HTML.png)
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Normal distribution - Wikipedia
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/12104273/1/500x640/multivariable-calculus-reed-college.jpg)
Multivariable Calculus - Reed College
Approximate Analytical Gradients and Nonadiabatic Couplings for
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://www.pnas.org/cms/asset/6b84d28e-1fa6-45bd-a831-0c1c79398f1e/keyimage.jpg)
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