Roberto Pavani's latest activity
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Roberto Pavani reacted to Swamp Thing's post in the thread Undergrad Do vocal tract resonances assist a singer's pitch control? with
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Thank you for taking the time to post a detailed reply. It's always good to have a sober, grounding antidote against AI's tendency to... -
Roberto Pavani replied to the thread High School Ant on a stretchy rope puzzle.You're right! f(n) = n·ln(n)·ln(ln(n))·... works too, for any finite number of iterated logs (integral test: each step gives the next... -
Roberto Pavani replied to the thread Undergrad Do vocal tract resonances assist a singer's pitch control?.From practical experience (choir singing, reading music, and knowing people who sing "out of tune"): Pitch control is primarily... -
Roberto Pavani replied to the thread Undergrad Capacitor Voltages at t = 0: Zero or Split?.The transfer function H(s) of this network is well-defined and unambiguous. The "no solution" issue lives entirely in the definition of... -
Roberto Pavani replied to the thread Undergrad Capacitor Voltages at t = 0: Zero or Split?.@Dale As I suggested earlier, this thread would be better suited for the Electrical Engineering forum section. The reason is simple... -
Roberto Pavani replied to the thread Undergrad Capacitor Voltages at t = 0: Zero or Split?.Step generators do not exist. Wires without impedance (neither R nor L) do not exist. The circuit as stated is electrically invalid: V-C... -
Roberto Pavani replied to the thread Undergrad Why ##a^0=1##?.As an undergraduate answer, this is one of the best answer (more than sufficient). The implicit prerequisite is that you're working in... -
Roberto Pavani replied to the thread High School Ant on a stretchy rope puzzle.My 2 cents: For the general case where the rope length grows as ##L(t) = L_0 \cdot a(t)##, the ant reaches the end if and only if... -
Roberto Pavani replied to the thread Undergrad Capacitor Voltages at t = 0: Zero or Split?.V(C2) = 1/2 V(V1) in t=0+ 1) Step generator is ideal 2) Analytical continuation: lim R2->0 -> V(C2) = 1/2 V(V1) R2 is the one in... -
Roberto Pavani replied to the thread Undergrad Are the basic axioms of thermodynamics demonstrated experimentally?.A cheap thermal camera (~€150, clips onto a smartphone) would be a nice modern upgrade to this experiment. Instead of two point... -
Roberto Pavani reacted to berkeman's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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Light waves have E and B components. The oscillating E-field component is what accelerates electrons in antennas and other metal... -
Roberto Pavani replied to the thread Graduate Universal quantum physics.Does your interpretation require any geometric substrate, or does it work regardless; i.e., no substrate needed at all? -
Roberto Pavani reacted to Demystifier's post in the thread Undergrad Gravity at large scales: force hierarchy or charge cancellation? with
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You correctly explained why gravity is dominant at cosmological scales, but the hierarchy problem is not about the cosmological scales...