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I just handed over my homework which concluded that the derivation of thermodynamic parameters in our model is A-OK because second derivatives are finite everywhere and third derivatives only tend to infinities when T = 0, which is, like, acceptable in critical systems under fluctuation/perturbation regime. We're all chumps, experimentalists just get swaggerific toys. Can't believe I forgot about that incident. Also, would love to see that PSA.when I do arithmetic or algebra only, it feels like I've cheated and made unrealistic assumptions.
Us chump experimentalists use real numbers all the time.