The discussion focuses on factoring the polynomial expression $m^8-n^8-2m^6n^2+2n^6m^2$. Participants suggest starting with the difference of squares and factoring out common terms. The conversation progresses through various attempts, leading to the factorization $(m-n)^{3}(m+n)^{3}(m^2+n^2)$. This final factorization is confirmed as correct by multiple contributors. The thread emphasizes collaborative problem-solving in polynomial factoring.
You really need to post your attempts at these, this way we can see where you are at. :D
I would look at factoring the first two terms as the difference of squares, and the last two terms have a common factor as well (I would factor out $-2m^2n^2$)...what do you get?
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes.
I have seen that this is an important subject in maths
My question is what physical applications does such a model apply to?
I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Greg tells me the feature to generate a new insight announcement is broken, so I am doing this:
https://www.physicsforums.com/insights/fixing-things-which-can-go-wrong-with-complex-numbers/
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles.
In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra
Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/
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