Changes

Last question, for now:  What is the value of this expression from your current standpoint, that is, evaluated at the point where <math>pq\!</math> is true?  Well, substituting <math>1\!</math> for <math>p\!</math> and <math>1\!</math> for <math>q\!</math> in the graph amounts to erasing the labels <math>p\!</math> and <math>q\!,</math> as shown here:

Last question, for now:  What is the value of this expression from your current standpoint, that is, evaluated at the point where <math>pq\!</math> is true?  Well, substituting <math>1\!</math> for <math>p\!</math> and <math>1\!</math> for <math>q\!</math> in the graph amounts to erasing the labels <math>p\!</math> and <math>q\!,</math> as shown here:

{| align="center" cellpadding="6" width="90%"

{| align="center" cellspacing="10"

| [[Image:Cactus Graph (( ,dP)( ,dQ), ).jpg|500px]]

|                 o=o-----------o                |

|              (( , dp)( , dq),   )             |

|}

|}