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(-0.33788948043637007, -0.800000000000000) (-0.3870029905047995, -1.00000000000000) (-0.39943523857520247, -1.20000000000000) (-0.3906906092695037, -1.40000000000000) (-0.3726358466847202, -1.60000000000000) (-0.3515548349816437, -1.80000000000000) (-0.33034158206351877, -2.00000000000000) (-0.3102133576683931, -2.20000000000000) (-0.29160905682373867, -2.40000000000000) (-0.2746166380255696, -2.60000000000000) (-0.2591720909304286, -2.80000000000000) (-0.24515183627871762, -3.00000000000000) (-0.33788948043637007, -0.800000000000000) (-0.3870029905047995, -1.00000000000000) (-0.39943523857520247, -1.20000000000000) (-0.3906906092695037, -1.40000000000000) (-0.3726358466847202, -1.60000000000000) (-0.3515548349816437, -1.80000000000000) (-0.33034158206351877, -2.00000000000000) (-0.3102133576683931, -2.20000000000000) (-0.29160905682373867, -2.40000000000000) (-0.2746166380255696, -2.60000000000000) (-0.2591720909304286, -2.80000000000000) (-0.24515183627871762, -3.00000000000000) |
Basis python:
Sage:
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We berekenen $\frac{d}{dx}f^2$:
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En waarom ook niet $\frac{d^3}{dx dy dx} e^{f(x\sin(y))}$:
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Wanneer welke gebruiken?
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f(2766.593, -1016.593) = -2.891 f(-1016.593, 2766.593) = -2.891 f(-417.059, -417.059) = -806.398 f(777.329, 777.329) = 23474.132 f(2056.397, 2056.397) = -353.683 f(2766.593, -1016.593) = -2.891 f(-1016.593, 2766.593) = -2.891 f(-417.059, -417.059) = -806.398 f(777.329, 777.329) = 23474.132 f(2056.397, 2056.397) = -353.683 |
Optimization terminated successfully. Current function value: -23474.131917 Iterations: 47 Function evaluations: 89 Optimization terminated successfully. Current function value: -23474.131917 Iterations: 47 Function evaluations: 89 |
Optimization terminated successfully. Current function value: 0.000000 Iterations: 46 Function evaluations: 89 Optimization terminated successfully. Current function value: 0.000000 Iterations: 46 Function evaluations: 89 |
We lossen volgende ode op:
$x^{2} \frac{\partial^{2}}{(\partial x)^{2}}g\left(x\right) - x\frac{\partial}{\partial x}g\left(x\right) = 3 \, g\left(x\right)$
met $g(1) = 1$ en $g(5) = 1$
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Numeriek kunnen we het pendulum beschrijven zonder dat $\sin(x)$ gelijk moet zijn aan $x$.
$y'' = \sin(y)$
of in de vorm van een eerste orde stelsel: $y0' = y1 \text{ en } y1' = \sin(y0)$
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Een paar problemen:
CoMa:
Project Euler (projecteuler.net)
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