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Authors: Jennifer Balakrishnan, JMM2016 Booth, Harald Schilly, William A. Stein
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Compute Environment: Ubuntu 18.04 (Deprecated)

SageMathCloud at the JMM 2016

2 + 3 + 9 / 4
29/4
factor(20^16 - 1)
3 * 7 * 17 * 19 * 401 * 160001 * 1505882353
show(icosahedron(color='green', opacity=.5, mesh=3), spin=1)
3D rendering not yet implemented
%var x y z g = golden_ratio; r = 4.77 p = 2 - (cos(x + g*y) + cos(x - g*y) + cos(y + g*z) + cos(y - g*z) + cos(z - g*x) + cos(z + g*x)) show(implicit_plot3d(p, (x, -r, r), (y, -r, r), (z, -r, r), plot_points=30, color='purple', mesh=1, opacity=.4), spin=1)
3D rendering not yet implemented
jmm2016(x) = 20 * x * sin(x) + 16 * x^2 jmm2016diff = jmm2016.diff(x) show(jmm2016)
x  16x2+20xsin(x)\displaystyle x \ {\mapsto}\ 16 \, x^{2} + 20 \, x \sin\left(x\right)
show(jmm2016diff)
x  20xcos(x)+32x+20sin(x)\displaystyle x \ {\mapsto}\ 20 \, x \cos\left(x\right) + 32 \, x + 20 \, \sin\left(x\right)
plot(jmm2016(x), (x, -2, 10)) + plot(jmm2016diff, (x, -2, 10), color="red")