Searching for Perfect Squares using the Pythagorean Theorem

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The discussion revolves around a research project focused on determining perfect squares using the Pythagorean theorem. The original poster seeks references to related studies but does not provide specific details about their research. Participants highlight the need for more information to identify relevant studies, suggesting that clarity on the topic would facilitate better responses. There is a call for links or references to existing research in this area. The conversation emphasizes the importance of context when seeking academic resources.
oen_maclaude
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perfect square?

hello everyone! i have come across an on-going research onDETERMINING A PERFECT SQUARE GIVEN A DIFFERENCE . However, I have a feeling that this was not an original one.

the researcher used the Pythagorean theorem to arrive at his so called "theorem".

would anyone give me a reference on some related studies. thank you very much!
 
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I don't know how anyone could say if there are "related studies" since you don't tell what the "study" is. In particular "DETERMINING A PERFECT SQUARE GIVEN A DIFFERENCE " could refer to any number of things. It might help if you gave a link to the website (if it was a website) or other reference.
 
what i mean is that are there other "studies/past studies on this kind of topic" actually, i haven't browsed any sites of other studies such as this. anway, if you have some, i hope you could share me the site. thank you very much!
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

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