Jochem
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 May12 accepted How does the rewriting of the following two equations work? May12 revised How does the rewriting of the following two equations work? Made it completer May12 suggested approved edit on How does the rewriting of the following two equations work? May12 comment How does the rewriting of the following two equations work? Thank you. Just went through the same line of thought with @Potato. May12 awarded Scholar May12 awarded Supporter May12 comment How does the rewriting of the following two equations work? Thank you. It is now clear to me! May12 comment How does the rewriting of the following two equations work? This part I understand: $$(\lambda+\mu)\frac{\lambda}{\mu}P_0 = \lambda\frac{\lambda}{\mu}P_0 + \mu\frac{\lambda}{\mu}P_0$$ But when you add them up you get: $$\frac{\lambda * \lambda}{\mu}P_0 + \frac{\mu * \lambda}{\mu}P_0$$ Is it here that multiplying of the $$\mu$$ in the second part results in $$P_0$$? May12 revised How does the rewriting of the following two equations work? added 7 characters in body May12 comment How does the rewriting of the following two equations work? I recall that, but then you would expect that somewhere you get a value along the lines this would result in: $$\frac{\lambda^2}{\mu}P_0 + \lambda P_0 + \mu P_0$$ May12 asked How does the rewriting of the following two equations work? May8 awarded Cleanup May8 awarded Editor May8 revised Simultaneously solving of equations rolled back to a previous revision May8 revised Simultaneously solving of equations added 24 characters in body May8 asked Can anybody recommend a comprehensive source for understanding mathematical notations? May8 comment Simultaneously solving of equations @Amzoti This looks promising. I struggle a bit to understand your first step. What procedures did you go through to solve reach variable by using 1 = w + x + y + z? Did you do the following: w = 0.080w + 0.632x + 0.264y + 0.080z, which leads to 0 = 0.080w - w + 0.632x + 0.264y + 0.080z. Then add 1 = w + x + y + z to 0 = -0.920w + 0.632x + 0.264y + 0.080z and this leads to 1 = 0.08w + 1.632x + 1.264y + 1.080z. Is that the procedure you did for every line? May7 comment Simultaneously solving of equations @GitGud The reason why the numbers are ugly is due to the fact that it comes from a markov matrix and the equation needs to be solved to obtain the stead-state probabilities of the transition matrix. As it all needs to add up to 1, things get ugly. May7 awarded Student May7 asked Simultaneously solving of equations