Interpolation
Pronunciation: /ɪnˌtɜr.pəˈleɪ.ʃən/ Explain
Interpolation is a process for approximating
the value of a function that is difficult to find. For example, say you
want to approximate the value of .
Step | Calculations | Description |
1 | Start with 1 and 4. | Find numbers larger and
smaller than 3.7 that have easy to calculate square roots. |
2 |
| The square root of 1 is 1. |
3 |
| The square root of 4 is 2. |
4 |
| What part of the way is 3.7 between 1 and 4? |
5 |
| About how much more is the square root of 3.7 than the square
root of 1. |
6 |
| Approximate the square root of 3.7. The actual value of the
square root of 3.7 is about 1.9235. |
References
- McAdams, David E.. All Math Words Dictionary, interpolation. 2nd Classroom edition 20150108-4799968. pg 101. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Rice, Herbert L.. The Theory and Practice of Interpolation. www.archive.org. Last Accessed 8/7/2018. http://www.archive.org/stream/theorypracticeof00rice#page/n5/mode/1up. Buy the book
- Fraser, Duncan C.. Newton's Interpolation Formulas. vol LI pp 77-106,211-232 Oct 1918 - Aug 1919. www.archive.org. Reprinted from the Journal of the Institute of Actuaries. C. & E. Latton. Last Accessed 8/7/2018. http://www.archive.org/stream/newtonsinterpola00frasrich#page/n1/mode/2up. Buy the book
- Steffenson, J. F.. Interpolation. 2nd edition. Reprint from 1950 edition. Dover Publications. March 17, 2006. Last Accessed 8/7/2018. Buy the book
Cite this article as:
McAdams, David E. Interpolation. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/interpolation.html.
Image Credits
Revision History
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
8/6/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
2/18/2010: Added "References". (
McAdams, David E.)
12/2/2008: Changed equations to images. (
McAdams, David E.)
9/16/2008: Initial version. (
McAdams, David E.)