Lines Matching refs:x_i

1634 x(\mu) = (1+\mu) \frac{1}{N} \sum_{i=1}^N x_i - \mu x_{N+1},
1697   l_i & \text{if} \; x_i < l_i \\
1698   u_i & \text{if} \; x_i > u_i \\
1699   x_i & \text{otherwise}
1729 \text{lower bounded}: & \mathcal{L}(x) & = & \{ i \; : \; x_i \leq l_i + \epsilon \; \land \; g(x)_i > 0 \}, \\
1730 \text{upper bounded}: & \mathcal{U}(x) & = & \{ i \; : \; x_i \geq u_i + \epsilon \; \land \; g(x)_i < 0 \}, \\
2710    \phi(x_i - l_i, F_i(x)) & \text{if } -\infty < l_i < u_i = \infty, \\
2711    -\phi(u_i-x_i, -F_i(x)) & \text{if } -\infty = l_i < u_i < \infty, \\
2712    \phi(x_i - l_i, \phi(u_i - x_i, - F_i(x))) & \text{if } -\infty < l_i < u_i < \infty, \\
2714    l_i - x_i & \text{if } -\infty < l_i = u_i < \infty.
2847 $\sum_i |x_i|$. The algorithm only requires evaluating the value