Understanding extended perceptron

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I am new to machine learning and could understand the simple perceptron. I came to a formula while reading about perceptron.

$$ y = \sum_{k = 1}^{K}z_{k}(x)(\Theta _{0}^{(k)} + \sum_{j = 1}^{m}\Theta _{j}^{(k)}x_{j}) $$

where $$ z_{k}(x) \epsilon R^{+} $$

I could understand the inner block represents simple perceptron. and $$ z_{k}(x) $$ is a element from real number. What is exactly $$ z_{k}(x) $$ representing here. Could you give a hint ? Is it changing single layer perceptron to multi layer or other ?