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'table 1' is a perfectly valid and commonly used phrase in written English.
For example, "According to Table 1 in the report, the total revenue decreased by 34 percent."
Exact(59)
Table 1.
Table 1: The Ellsberg bets.
Results: Summarized in table 1.
Table 1 – Local Coefficient By Industry.
We characterize them roughly in Table 1.
(See accompanying Table 1).
(See Table 1).
gambiae, respectively (Table 1).
(Figure 1; Table 1).
(Footnote of Table 1).
Table 1 details subject participation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com