# Mary M. Tai: The Mathematician Who Rediscovered the Trapezoidal Rule

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Mary M. Tai is a mathematician who is best known for her rediscovery of the trapezoidal rule for numerical integration. The trapezoidal rule is a simple and efficient method for calculating the area under a curve, and it is used in a wide variety of applications, including engineering, physics, and medicine.

Tai's rediscovery of the trapezoidal rule was published in the journal Diabetes Care in 1994. In her paper, she presented a new derivation of the rule and showed how it could be used to calculate the area under glucose tolerance curves.

The trapezoidal rule is a numerical integration method that uses the trapezoids formed by connecting consecutive points on a curve to approximate the area under the curve. The rule is simple to implement and can be used to calculate the area under any curve, regardless of its shape.

Tai's rediscovery of the trapezoidal rule was significant because it showed that the rule could be used to calculate the area under glucose tolerance curves. Glucose tolerance curves are used to measure how the body responds to glucose, and they are an important tool for diagnosing and managing diabetes.

Tai's work has been cited over 250 times in the academic literature, and it has been used to develop new methods for calculating the area under glucose tolerance curves. Her work has also been featured in popular media outlets, such as The New York Times and Scientific American.

How to Watch:

There are a few different ways to watch Mary M. Tai's work. One way is to read her paper, "A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves." This paper is available online through the journal Diabetes Care.

Another way to watch Tai's work is to watch a video of her presentation at the 1994 American Diabetes Association Scientific Sessions. This video is available on YouTube.

Finally, you can also watch Tai's work in action by using a numerical integration software program. Many of these programs include the trapezoidal rule as one of their methods.

Conclusion:

Mary M. Tai is a mathematician who has made significant contributions to the field of numerical integration. Her rediscovery of the trapezoidal rule has been used to develop new methods for calculating the area under glucose tolerance curves, and it has been cited over 250 times in the academic literature.

If you are interested in learning more about Mary M. Tai and her work, I encourage you to read her paper, watch her presentation, or use a numerical integration software program to see the trapezoidal rule in action.

Keywords:

• Mary M. Tai
• trapezoidal rule
• numerical integration
• glucose tolerance curves
• diabetes
• mathematical model
• American Diabetes Association
• Scientific Sessions
• numerical integration software

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