title: Population vector
text: # Population vector
  
  In neuroscience, a population vector is the sum of the preferred directions of a population of neurons, weighted by the respective spike counts.
  
  The formula for computing the (normalized) population vector, $F$, takes the following form:
  
  $F={\frac {\sum _{j}m_{j}F_{j}}{\sum _{j}m_{j}}}$
  
  Where $m_{j}$ is the activity of cell $j$, and $F_{j}$ is the preferred input for cell $j$.
  
  Note that the vector $F$ encodes the input direction, $F_{j}$, in terms of the activation of a population of neurons.
  
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