Traceable sources. Defined measures.

Do published totals use the same counting convention?

Observation

The study abstract gives 1,339 stars; the IDP guide gives 1,345, a difference of six.

Analysis

Register each number with its source and locator. The difference is reproducible; its cause requires examination of counted objects and versions.

Limits

Neither total is selected as correct, and no typographical error is presumed.

Must textual divisions equal bound units?

Observation

The Yuding Liuren Zhizhi catalogue uses two juan and seven volumes for textual and bound divisions.

Analysis

Keep separate fields for juan and bound volumes and retain record 102334182. Contents across the set are needed to identify each volume's scope.

Limits

Catalogue fields do not replace inspection; unequal counts are not classified as an error.

Can a star and gate share one rotation?

Observation

At Jia-Zi, Yi-Chou and Bing-Yin in Yang 1, Tianpeng occupies 1, 9, 8; Rest occupies 1, 2, 3.

Analysis

Separate earth, star and gate layers to trace their initial coincidence and later separation. A single perimeter rotation cannot express these sequences.

Limits

Only the three cited times are reconstructed, not every school or full spirit plate.

Can the result be checked through each operation?

Observation

1,937,281 mod 360 = 121; 121 mod 72 = 49; 49 mod 24 = 1.

Analysis

Each operation retains dividend, divisor, quotient and remainder. The resulting 1 belongs to this declared reduction chain, not to an inferred modern year.

Limits

Epoch conversion, exclusion conventions and exact-division boundaries are not covered; this is not a date converter.

Are Taiyi and Luoshu palace numbers interchangeable?

Observation

The cited Taiyi numbering places 1 at Qian in the northwest; Luoshu places 1 at Kan in the north. The eight-palace circuit excludes centre 5.

Analysis

Carry system, direction and trigram with every number. Two diagrams with shared orientation make the displacement visible.

Limits

The teaching diagram is a textual reconstruction, not an excavated object or historical plate.

Is the first mover always the guest?

Observation

Volume four makes the first mover guest in a field array and host in a settled-position scenario.

Analysis

Record scenario before action order and role label, keeping an isolated formula from becoming a universal definition.

Limits

For historical semantics and conditional analysis, not advice on real conflict.

Which palace sets kin on a transformed line?

Observation

Changing Xu at lines 1, 3, 4 and 6 yields Song. Line 4 changes from Shen-metal offspring to Wu-fire parent, relative to Kun-earth throughout.

Analysis

The transformed figure supplies branches; kin retains the original reference. The two steps use information for distinct purposes.

Limits

A declared-input exercise; the chapter's diagram–prose discrepancy is separately logged. No real consultation-outcome data are claimed.

Do a Chinese title and Qing attribution identify an edition?

Observation

Dalian Library record 4987 lists Japanese language and Yehe Laoren of the Qing; call number 1862-21, accession 7352.

Analysis

Retain the catalogue fields, separating contributor era from an unconfirmed publication year.

Limits

The item and page images have not been inspected; the title alone cannot justify changing the language field.