LaTeX errors when creating PDF version.
This typically indicates Rd problems.
LaTeX errors found:
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! LaTeX Error: Environment \{ undefined.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
! Misplaced alignment tab character &.
<argument> ...\{cc\} +T\left (v_1,v_2,v_3\right )&
                                                   -T\left (v_1,v_3,v_2\righ...
l.246     }{}
             
! Misplaced \cr.
<argument> ... )& -T\left (v_1,v_3,v_2\right )\cr 
                                                  -T\left (v_2,v_1,v_3\right...
l.246     }{}
             
! Misplaced alignment tab character &.
<argument> ...t )\cr -T\left (v_2,v_1,v_3\right )&
                                                   +T\left (v_2,v_3,v_1\righ...
l.246     }{}
             
! Misplaced \cr.
<argument> ... )& +T\left (v_2,v_3,v_1\right )\cr 
                                                  +T\left (v_3,v_1,v_2\right...
l.246     }{}
             
! Misplaced alignment tab character &.
<argument> ...t )\cr +T\left (v_3,v_1,v_2\right )&
                                                   -T\left (v_3,v_2,v_1\righ...
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
! Missing \endcsname inserted.
<to be read again> 
                   \delimiter 
l.246     }{}
             
!  ==> Fatal error occurred, no output PDF file produced!