If you draw them both between x values of -360 degrees to 360 degrees, you will see they are really the same shape, except one is shifted to the left abit =]
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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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...
I posted this in the Lame Math thread, but it's got me thinking.
Is there any validity to this? Or is it really just a mathematical trick?
Naively, I see that i2 + plus 12 does equal zero2.
But does this have a meaning?
I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero?
Ibix offered a rendering of the diagram using what I assume is matrix* notation...