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Areas Under the Regression Curves

Teaching Statistics, 1982
Herbert C. Rutemiller, Ronald C. Suich
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Area under a Curve: Trapezoidal and Simpson’s Rules

1987
Simpson’s rule is a method for evaluating the area under a curve from values of the ordinate and the abscissa. Thus, this method accomplishes the same objective as that of the trapezoidal rule (discussed subsequently). It may be shown, however, that Simpson’s rule gives a closer approximation to the area, than does the trapezoidal rule.
Ronald J. Tallarida, Rodney B. Murray
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Combined phaco-vitrectomy provides lower costs and greater area under the curve vision gains than sequential vitrectomy and phacoemulsification

Graefe's Archive for Clinical and Experimental Ophthalmology, 2020
Alexander D. Port   +5 more
semanticscholar   +1 more source

Approximation of Area Under a Curve: A Conceptual Approach

The Mathematics Teacher, 1987
The need to find the area under a curve occurs in a large number of applications of mathematics from physics (work, mechanical and electric potentials, entropy, etc.), to probability (average, expectation, and variance of continuous probability distributions), to the biological and social sciences, Newton invented the definite integral for the express ...
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The area under a curve specified by measured values

Metrologia, 2007
The problem is addressed of determining numerical approximations to the area under a curve specified by arbitrarily spaced data. A formulation of this problem is given in which the data are used to model the curve as a piecewise polynomial, each piece having the same degree. That piecewise function is integrated to provide an approximation to the area.
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Area under the curve, bioavailability, and clearance

Journal of Pharmacokinetics and Biopharmaceutics, 1991
James S. Beck   +2 more
openaire   +3 more sources

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