Common

Tai's model

Rediscovery of the trapezoidal rule in 1994

Tai's model

Common card · No. 236174

In 1994, nutrition scholar Mary M. Tai published a paper in the journal Diabetes Care entitled "A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves". In the paper, Tai proposes "Tai's model" as a method of estimating the area under a curve by dividing the area into simple polygons and summing their totals. Apparently unbeknownst to Tai, and not noted by peer reviewers or the journal's editors, her method is in fact the trapezoidal rule, a basic method of calculus used by Babylonian astronomers before 50 BCE and later independently by English and French astronomers in the 14th century. Several scholars replied to the paper in letters to the journal, objecting to the naming of "Tai's model" and the treatment of a method "used in undergraduate calculus courses" as a novel discovery in the field of diabetes care. A letter entitled "Tai's Formula is the Trapezoidal Rule" pointed out errors in Tai's representation of the underlying mathematics...

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