 Let formula_1 denote the spatio-temporal stimulus vector at a particular instant, and
formula_2 denote a linear filter (the neuron's linear receptive field), which is a vector with the same number of elements as formula_1.Let formula_4 denote the nonlinearity, a scalar function with non-negative output.Then the LNP model specifies that, in the limit of small time bins, 
For finite-sized time bins, this can be stated precisely as the probability of observing "y" spikes in a single bin