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The non-linear way the anomalous dimension parameter has been introduced inthe historic first version of the exact renormalization group equation iscompared to current practice. A simple expression for the exactly marginalredundant operator proceeds from this non-linearity, whereas in the linearcase, first order differential equations must be solved to get it. The role ofthis operator in the construction of the flow equation is highlighted.

The Wilson exact renormalization group equation and the anomalous dimension parameter