SammyS's latest activity
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SammyS reacted to PeroK's post in the thread Undergrad Solving ##a^b## and ##b^a## via the Lambert Function with
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Here's an analysis. We start with a more general equation:$$a^x + x = b$$$$(b - x)a^{-x} = 1$$$$(b-x)a^{b-x} = a^b$$We want to use the... -
SammyS reacted to Herman Trivilino's post in the thread Undergrad Potential energy of a system of particles with
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By convention we usually assume that as the separation distance increases beyond all bounds, the potential energy approaches zero... -
SammyS reacted to berkeman's post in the thread Find the acceleration of a block (some sort of double Atwood machine?) with
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I sent you a DM with tips for posting math here at PF using our LaTeX engine. :smile: -
SammyS reacted to Lnewqban's post in the thread Why must residential electrical systems be connected to Earth (soil)? with
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Wherever persons can be in contact with electricity with voltage above 60 volts, the salty fluids inside their bodies can become a... -
SammyS reacted to DaveE's post in the thread Undergrad What is the most impactful way of introducing Laplace transforms? with
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It is THE main tool for linear systems analysis (often non-linear systems too). Analog circuit design, filter design, control systems... -
SammyS reacted to Mark44's post in the thread Undergrad May I use set theory to define the number of solutions of polynomials? with
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Your definition for ##Q_n(x)## would be the reciprocal of ##P_n(x)##, not the inverse. For example, if ##f(x) = 2x + 3##, then...