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anuttarasammyak
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- Shannon and Von Neumann entropy assume x log_a x = 0 for limit of small x. Is it justified in mathematics ?
Hello. In Von Neuman Entropy
[tex]S(\rho):=-k_B \ \Sigma_j \ p_j \ \log_e \ p_j [/tex]
It is assumed that for ##p_j=0##
[tex]p_j \ \log_e p_j=0[/tex]
Is it correct mathematics though ##0^0## is indefinite.
[tex]S(\rho):=-k_B \ \Sigma_j \ p_j \ \log_e \ p_j [/tex]
It is assumed that for ##p_j=0##
[tex]p_j \ \log_e p_j=0[/tex]
Is it correct mathematics though ##0^0## is indefinite.