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My matrix is matrix = [ [0,1,3,2,4], [2,0,2,2,2], [3,1,0,1,3], [4,4,3,0,3], [2,4,4,4,0] ] Team 5: rating = 0.5369571232846212 Team 4: rating = 0.5349109263288253 Team 1: rating = 0.4288594144453331 Team 3: rating = 0.35096444755792117 Team 2: rating = 0.34416697668415475 Team 5 was the best, followed very closely by team 4.
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The temperature near the midpoint of the insulated edge is around 1.83 after 1s
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Given a metal bar of length 1 that lies along the unit interval. Its temperature distribution is $$g(x)=6x^2 - 4x $$ At t=0, its left end is 3 degrees and right end is -3 degrees. Sketch the distribution at times $t=0,t=0.01,t=0.1$,and $t=10.$
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Looking for the temperature distribution in a steady state problem (i.e. the time derivative is not relevant once the system reaches steady state) My given equation and boundary values were $$ u_t = 3u_{xx} + 8, u(0, t) = -4, u(1, t) = 6 $$ when $ u_t = 0 $ the sytem is steady state, then solving for $u_{xx} $gives $…
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The displacement for my particular string set up at t = 1.3s at the midpoint was -.632