Recent content by Sammuueel
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Graduate Does the Lambert Function Apply to Solving This Economic Model?
Thank you Jacqueline! This is from a model where the demand of a consumer accumulates if he does not make a purchase in one period. This accumulated deteriorates with a factor ρ (e.g.0.9). After k periods without purchase, the demand is \rho + \rho^2 + ... + \rho^k = \frac{1-\rho^k}{1-\rho}... -
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Solving the Lambert Function: Advice from Forum
I can perfectly follow you, thank you for you quick reply. But I am not sure if the exponential of x(1-\ln x) equals e^x(e^{1-\ln x})? Kind regards, Samuel- Sammuueel
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- Forum: Calculus and Beyond Homework Help
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Solving the Lambert Function: Advice from Forum
Dear Forum, I am a researcher in the field of microeconomics and I came across this equation which I would like to solve for k. \Omega = \rho^k (1-k\cdot \ln \rho) It looks a little bit like the Lambert function. But I am stuck here. Do you have an idea how I could proceed? Kind...- Sammuueel
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- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Graduate Does the Lambert Function Apply to Solving This Economic Model?
Dear Forum, I am a researcher in the field of microeconomics and I came across this equation which I would like to solve for k. It looks a little bit like the Lambert function. But I am stuck here. \Omega = \rho^k (1-k\cdot \ln \rho) Do you have an idea how I could proceed? Kind...