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myFunction= [1.5,2.5,-0.5] * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) + [-3.5,0.5,-1.5] * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)])
Value at [1.2,2.3,3.4] = [-32.6345,-2.5861,-10.9343]
Gradient at [1.2,2.3,3.4] = [[ 178.768 -38.5532 82.095 ]
[ -375.374 51.2006 -159.854 ]
[ -305.359 42.7773 -130.512 ]]
Hessian at [1.2,2.3,3.4] = sheet #0
[[ -1751.3 4267.4 3202.7 ]
[ 4267.4 -11041 -8261.4 ]
[ 3202.7 -8261.4 -6049.1 ]]
sheet #1
[[ 230.59 -612.35 -462.4 ]
[ -612.35 1581.5 1192.5 ]
[ -462.4 1192.5 891.78 ]]
sheet #2
[[ -742.32 1830 1374.6 ]
[ 1830 -4733.6 -3545.8 ]
[ 1374.6 -3545.8 -2604.1 ]]
Marginal 0 = (1.5 * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) - 3.5 * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)]))
Marginal 1 = (2.5 * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) + 0.5 * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)]))
Marginal 2 = (-0.5 * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) - 1.5 * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)]))
Marginal (0,1)= [1.5,2.5] * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) + [-3.5,0.5] * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)])
Marginal (0,2)= [1.5,-0.5] * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) + [-3.5,-1.5] * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)])
Marginal (1,2)= [2.5,-0.5] * ([x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]) + [0.5,-1.5] * ([x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)])
myFunction (HTML)=
DualLinearCombinationEvaluation
<ul>
<li> Input dimension = 3 </li>
<li> Input description = [x1,x2,x3] </li>
<li> Output dimension = 3 </li>
<li> Size = 2 </li>
</ul>
<table>
<tr>
<th>Coefficient</th>
<th>Function</th>
</tr>
<tr>
<td>[1.5,2.5,-0.5]</td>
<td>[x1,x2,x3]->[x1^3 * sin(x2 + 2.5 * x3) - (x1 + x2)^2 / (1.0 + x3^2)]</td>
</tr>
<tr>
<td>[-3.5,0.5,-1.5]</td>
<td>[x1,x2,x3]->[exp(-x1 * x2 + x3) / cos(1.0 + x2 * x3 - x1)]</td>
</tr>
</table>
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