This is the user sandbox of ZariakAC. A user sandbox is a subpage of the user's user page. It serves as a testing spot and page development space for the user and is not an encyclopedia article. Create or edit your own sandbox here.
Writing an article and ready to request its creation?
Applicability and alternatives
The triangluar rule is one of a family of formulas for numerical integration. However, it is an uncommon and inaccurate method of approximation, normally only reserved for teaching. Kai Rasmussen and Ryan Watts are credited with the development of this technique of integral approximation. While not a very accurate method of approximation, Rasmussen and Watts advocate that the triangular rule is a good first step in introducing calculus students to RRAM, MRAM, LRAM and the trapezoidal rule. Also, the triangular rule normally yields an underestimate.
Unlike Riemann sums, which allow for choice between right, left, and middle points, the triangular rule is limited to only the right end-point.
- Thomas, George B. Jr.; Finney, Ross L. (1996), Calculus and Analytic Geometry (9th ed.), Addison Wesley, ISBN 0-201-53174-7