PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem
Por um escritor misterioso
Last updated 05 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.
Molecular Dynamics Simulations Based on Newly Developed Force
![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%2Fs41467-023-41214-9/MediaObjects/41467_2023_41214_Fig1_HTML.png)
Efficient optimization with higher-order ising machines
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://i1.rgstatic.net/ii/profile.image/276864523358215-1443021054531_Q64/Eugen-Ionascu.jpg)
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://geelaw.blog/entries/lagrange-4sq-thm/assets/hero.png)
Chit-chat on Lagrange's four-square theorem
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://media.springernature.com/lw685/springer-static/image/chp%3A10.1007%2F978-3-030-81317-8_1/MediaObjects/494136_1_En_1_Fig2_HTML.png)
Parametrizations and Plane Curves
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/49093748/1/500x640/vector-calculus-emory-university.jpg)
Vector Calculus - Emory University
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://i1.rgstatic.net/publication/272388129_Lagrange's_Four-Square_Theorem/links/57bc0c1508aefea8f0f5d33e/largepreview.png)
PDF) Lagrange's Four-Square Theorem
![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)
Patterning of morphogenetic anisotropy fields
![PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem](https://img.yumpu.com/39409318/1/500x640/download-pdf-file-dnn-pro-outer-gt-home-the-johns-hopkins-.jpg)
Download PDF file - DNN Pro Outer > Home - The Johns Hopkins
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