anuttarasammyak's latest activity
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anuttarasammyak replied to the thread B Average velocity as a weighted mean.Your "arismetic mean of inverse" in reminds me of law of synthesizede resistance of parallel ressitors $$... -
anuttarasammyak replied to the thread B Average velocity as a weighted mean.Just for a fun I observe $$ \bar{v}=\frac{\sqrt{v_1v_2}}{\frac{v_1+v_2}{2}}\sqrt{v_1v_2} \leq \sqrt{v_1v_2} $$
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anuttarasammyak replied to the thread B Average velocity as a weighted mean.$$\bar{v}=\frac{2L}{L/v_1+L/v_2}=\frac{2v_1v_2}{v_1+v_2}$$ I am not sure what are harmonic mean and weighted average you say in this result.
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anuttarasammyak replied to the thread Family of lines that are at a distance of 5 from the origin.$$y-5\sin\omega=-\frac{1}{\tan\omega}(x-5\cos\omega)$$ [EDIT] Another way. Say all the points on the line $$ y=ax+b $$ has distance...
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anuttarasammyak replied to the thread Family of lines that are at a distance of 5 from the origin.The nearest point of the lines are on the circle x^2+y^2=5^2. The lines are orthogonal to the circle radius.
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anuttarasammyak replied to the thread I Why work is PdV and not (P+dP)dV in an isothermal process?.dP dV is infinitesimal of second order. We can disregard it in calculation.
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anuttarasammyak replied to the thread I Useless continued fraction for 1.Generalizing 2 to integer n, the equation is $$x^2-nx+1=0$$ $$x=\frac{n \pm \sqrt{n^2-4}}{2}$$ So we know for x to exist ##|n|\geq 2##...
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anuttarasammyak replied to the thread I Useless continued fraction for 1.Say RHS continued fraction is x, we have an equation $$x=2-\frac{1}{x}$$ $$(x-1)^2=0$$ $$x=1$$ So we know if x converges, x=1. If it...
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anuttarasammyak replied to the thread I Proving Newton's forward difference interpolation formula.https://en.wikipedia.org/wiki/Newton_polynomial shows : The matrix is downer triangular matrix. Solving it from the top law and...
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anuttarasammyak replied to the thread I Motional EMF in Faraday disc, co-rotating magnet axial mean flux.Thanks for the teaching and clarification. Now I guess: 1. In case that the metal disk is all white, i.e. no magnets at all, emf V=0...
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anuttarasammyak replied to the thread I Motional EMF in Faraday disc, co-rotating magnet axial mean flux.Thanks for the explanation for confirmation I also draw a sketch. A is a contact point of the disk. The path OA matters. When A is on...
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anuttarasammyak replied to the thread I Motional EMF in Faraday disc, co-rotating magnet axial mean flux.In order to understand the configuration correctly, could you provide a sketch of your experiment?
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anuttarasammyak replied to the thread I Bloch Sphere generalization for more than one qubit.n qubit has 2^n base with complex coefficients so they have 2^(n+1) real parameters. Normalization and the extra phase factor reduce 2...
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anuttarasammyak reacted to pervect's post in the thread I Bloch Sphere generalization for more than one qubit with
Like.
I ran across the very interesting https://arxiv.org/abs/quant-ph/0302081, "Geometry of the 3-Qubit State, Entanglement and Division... -
anuttarasammyak replied to the thread How to move from the space of moments to the space of energies?.You may do this substitution anywhere. Just please be careful for taking derivatives as I posted #2.
