3 ms·
OP is not joking, the original paper is available here: https://math.berkeley.edu/~ehallman/math1B/TaisMethod.pdf https://math.berkeley.edu/~ehallman/math1B/Ta
by lqet 7y ago
OP is not joking, the original paper is available here:
https://math.berkeley.edu/~ehallman/math1B/TaisMethod.pdf https://math.berkeley.edu/~ehallman/math1B/TaisMethod.pdf
> RESEARCH DESIGN AND METHODS— In Tai's Model, the total area under a curve is computed by dividing the area under the curve between two designated values on the X-axis (abscissas) into small segments (rectangles and triangles) whose areas can be accurately calculated from their respective geometrical formulas. The total sum of these individual areas thus represents the total area under the curve
- 29athrowaway 7y agoTai's "integration" method also has references to previous, similar work, and has 293 citations. You can buy the paper for $35. Academia in a nutshell.
- olooney 7y agoIs this not just the trapezoidal rule for numeric integration? https://en.wikipedia.org/wiki/Trapezoidal_rule https://en.wikipedia.org/wiki/Trapezoidal_rule It's not even a particular good choice for the specific problem (glucose curve) because the trapezoidal rule will systematically underestimate the true area when the curvature is always negative. Simpson's rule is almost always a better choice: https://en.wikipedia.org/wiki/Simpson%27s_rule https://en.wikipedia.org/wiki/Simpson%27s_rule Fun fact: although the method is attributed to the 18th century mathematician Simpson, Kepler is known to have used it in the 17th century.