The function Γ enumerates the ordinals α such that φα(0) = α. Γ0 is the Feferman–Schütte ordinal, i.e. it is the smallest α such that φα(0) = α. For Γ0, a fundamental sequence could be chosen to be formula_32 and formula_33  For Γβ+1, let formula_34 and formula_35  For Γβ where formula_36 is a limit, let formula_37  To build the Veblen function of a finite number of arguments (finitary Veblen function), let the binary function formula_38 be formula_39 as defined above. Let formula_40 be an empty string or a string consisting of one or more comma-separated zeros formula_41 and formula_42 be an empty string or a string consisting of one or more comma-separated ordinals formula_43 with formula_44. The binary function formula_45 can be written as formula_46 where both formula_42 and formula_40 are empty strings. The finitary Veblen functions are defined as follows:  For example, formula_56 is the formula_57-th fixed point of the functions formula_58, namely formula_59; then formula_60 enumerates the fixed points of that function, i.e., of the formula_61 function; and formula_62 enumerates the fixed points of all the formula_63. Each instance of the generalized Veblen functions is continuous in the "last nonzero" variable (i.e., if one variable is made to vary and all later variables are kept constantly equal to zero). The ordinal formula_64 is sometimes known as the Ackermann ordinal. The limit of the formula_65 where the number of zeroes ranges over ω, is sometimes known as the “small” Veblen ordinal. Every non-zero ordinal formula_66 less than the small Veblen ordinal (SVO) can be uniquely written in normal form for the finitary Veblen function:  formula_67  where  For limit ordinals formula_74, written in normal form for the finitary Veblen function:  More generally, Veblen showed that φ can be defined even for a transfinite sequence of ordinals αβ, provided that all but a finite number of them are zero. Notice that if such a sequence of ordinals is chosen from those less than an uncountable regular cardinal κ, then the sequence may be encoded as a single ordinal less than κκ.