Difference between revisions of "Test"

Revision as of 13:55, 13 August 2013

This section needs fixing, it seems there are some problems with the math command. See here for a working version.

Three-layer precision ( $P_{3}$ ), three-layer recall ( $R_{3}$ ), and three-layer $F_{1}$ score ( $F_{3}$ ) are defined as follows:

F_{3}(\Pi ,\Xi )={\frac {2P_{3}(\Pi ,\Xi )R_{3}(\Pi ,\Xi )}{P_{3}(\Pi ,\Xi )+R_{3}(\Pi ,\Xi )}},

where

Failed to parse (syntax error): {\displaystyle P_3(\Pi, \Xi) &=& \frac{1}{n_\mathcal{Q}} \sum_{j = 1}^{n_\mathcal{Q}} }

@@ Line 12: / Line 12: @@
 :<math>
 P_3(\Pi, \Xi) &=& \frac{1}{n_\mathcal{Q}} \sum_{j = 1}^{n_\mathcal{Q}}
-\max \{ F_2(\mathcal{P}_i, \mathcal{Q}_j) \mid i = 1,\ldots, n_\mathcal{P} \},\\[.2cm]
-R_3(\Pi, \Xi) &=& \frac{1}{n_\mathcal{P}} \sum_{i = 1}^{n_\mathcal{P}}
-\max \{ F_2(\mathcal{P}_i, \mathcal{Q}_j) \mid j = 1,\ldots, n_\mathcal{Q} \},\\[.2cm]
-F_2(\mathcal{P}, \mathcal{Q}) &=& \frac{2 P_2(\mathcal{P}, \mathcal{Q}) R_2(\mathcal{P}, \mathcal{Q})}
-{P_2(\mathcal{P}, \mathcal{Q}) + R_2(\mathcal{P}, \mathcal{Q})},\\[.2cm]
-P_2(\mathcal{P}, \mathcal{Q}) &=& \frac{1}{m_Q} \sum_{l = 1}^{m_Q}
-\max \{ F_1(P_k, Q_l) \mid k = 1,\ldots, m_P \},\\[.2cm]
-R_2(\mathcal{P}, \mathcal{Q}) &=& \frac{1}{m_P} \sum_{k = 1}^{n_P}
-\max \{ F_1(P_k, Q_l) \mid l = 1,\ldots, m_Q \},\\[.2cm]
-F_1(P, Q) &=& \frac{2 P_1(P, Q) R_1(P, Q)}{P_1(P, Q) + R_1(P, Q)},\\[.2cm]
-P_1(P, Q) &=& |P \cap Q|/|Q|,\\[.2cm]
-R_1(P, Q) &=& |P \cap Q|/|P|.
 </math>