why normalized close price is not equal to close/last_adj_price -1?

[tangning017]

The last second column of the preprocessed price is not equal to close_t / adj_price_{t-1} - 1？

[Chih-Ling-Hsu]

Same question here.
Normalized open/high/low prices can be obtained by the formula $p_t = \tilde{p}_t/\tilde{p}_{t-1}^c - 1$, but close price can not.

[dalision]

Here is the same question！

[Waterkin]

Same question!

[xlu1]

Movement percent = close_t / adj_price_{t-1} - 1
Normalized close price = close_t - adj_price_{t-1}