see that the $\delta$ innovation measures report higher innovation for frequency-order discovery, although the difference is not large. The likely reason is the same as for F-dictionaries, and due to the weaker effect of the normalization on early innovative bursts.

Despite the very different dictionary generation algorithm, the trends in $\delta_r$ are rather similar to those seen in F-dictionaries, although the measure is more strongly depressed for small dictionaries with large symbol lists. However, the linear and nonlinear measures $\delta_\omega, \delta_\chi$ behave very differently, being in line with the ‘expected’ behaviour of increasing with symbol list size.

![Scaling of innovation in ${\mathsf{E}}^{\DcSize}_{\SySize}$ extensible dictionaries, with symbol number $\SySize$ varying on a log scale from $2$ to $32$, and dictionary size $\DcSize$ on a log scale from $45$ to $1024$.\
[]{data-label="fig-extensible-scaling"}](Extensible00000-Rank "fig:"){width="\plotthreewidth"} ![Scaling of innovation in ${\mathsf{E}}^{\DcSize}_{\SySize}$ extensible dictionaries, with symbol number $\SySize$ varying on a log scale from $2$ to $32$, and dictionary size $\DcSize$ on a log scale from $45$ to $1024$.\
[]{data-label="fig-extensible-scaling"}](Extensible00000-Freq "fig:"){width="\plotthreewidth"} ![Scaling of innovation in ${\mathsf{E}}^{\DcSize}_{\SySize}$ extensible dictionaries, with symbol number $\SySize$ varying on a log scale from $2$ to $32$, and dictionary size $\DcSize$ on a log scale from $45$ to $1024$.\
[]{data-label="fig-extensible-scaling"}](Extensible00000-Nonl "fig:"){width="\plotthreewidth"}

Chain: 