Alternative Equation Formats

$${\displaystyle \text{ABS}({\mathbf{L}}_i-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>(\mathbf{L}\mathbf{H}{)}_i)>\{\begin{array}{lcl}\mathrm{ϵ<!--\; ϵ\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}& & \text{if }{\mathbf{L}}_i=0\text{ or}\\ \mathrm{ϵ<!--\; ϵ\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\times <!--\; \times \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\text{ABS}({\mathbf{L}}_i)& & \text{otherwise}\end{array}}$$

$${\displaystyle \text{ABS}({\mathbf{L}}_i-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>(\mathbf{L}\mathbf{H}{)}_i)>\{\begin{array}{lcl}\mathrm{ϵ<!--\; ϵ\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}& & \text{if }{\mathbf{L}}_i=0\text{ or}\\ \mathrm{ϵ<!--\; ϵ\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\times <!--\; \times \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\text{ABS}({\mathbf{L}}_i)& & \text{otherwise}\end{array}}$$

\[ \mbox{ABS}(\mb{L}_ i - (\mb{LH})_ i) > \left\{ \begin{array}{lcl} \epsilon & & \mbox{if } \mb{L}_ i = 0 \mbox{ or} \\[0.05in] \epsilon \times \mbox{ABS}(\mb{L}_ i) & & \mbox{otherwise} \\ \end{array} \right. \]