PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem
Por um escritor misterioso
Last updated 18 fevereiro 2025
![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.yumpu.com/en/image/facebook/51628848.jpg)
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![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://www.researchgate.net/profile/Eugen-Ionascu/publication/316584839/figure/fig1/AS:560216540028929@1510577439563/figure-fig1_Q320.jpg)
PDF) New parametrization of A2 + B2 + C2 = 3D2 and langrange's
![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/d/db/EllipticCurveCatalog.svg/640px-EllipticCurveCatalog.svg.png)
Elliptic curve - Wikipedia
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![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/62445443/1/500x640/lagrangian.jpg)
Lagrangian
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/19665841/1/500x640/lubrication-of-piston-rings-in-large-2-solid-mechanics.jpg)
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![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://typeset.io/figures/figure-5-performance-for-lysozyme-in-water-24119-atoms-with-3slkegoy.webp)
PDF) GROMACS 4: Algorithms for highly efficient, load-balanced
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