Means, Generalized Divided Differences, and Intersections of Osculating Hyperplanes

✍ Scribed by Alan Horwitz

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 237 KB
• Volume: 200
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0195

✦ Synopsis

We define means in n variables by taking the intersection point in R n of n osculating hyperplanes to a given curve in R n . These planes are the natural extensions of the osculating plane in R 3 . More precisely, let C be a curve in R n , and let 0a -иииa -ϱ. Let O be the osculating hyperplane to C at a .