Dimension in particle swarm optimization algorithm

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In particle swarm optimization algorithm, what is the dimension exactly mean. Is it the number of particles (population size) in the search space? or it is the coordinates of each particle?

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By xij, it is meant that i th particle is taken from j dimensional search space. If number of particles is limited by n, number of dimensions of the search space is restricted by m, then i is less than equal to n, j is less than equal to m. So dimension means the coordinates of the position of the particle. Number of velocity components will be the same as the number of coordinates of the particle. In mathematical problems like
Minimize x2 – 5x + 20, always j = 1

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