By I. Cotaescu
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Additional info for Advances in Quantum Theory
From now on C¯ r,x and C¯ xr will be referred to as the representation of C¯ y at x and on C¯ x respectively. The relations between the basic operations and constants of C¯ xr and those of C¯ x lead to an interesting property. Let f xr ( arx ) be any analytic function on C¯ xr . It follows that f xr ( arx ) = brx ⇔ r f x ( a x ) = rb x ⇔ f x ( a x ) = b x . (27) Here f x is the same function on C¯ x as f xr is on C¯ xr . Also a x and b x are the same number values in C¯ x as arx and brx are in C¯ xr .
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Advances in Quantum Theory by I. Cotaescu