Engineering Calculus Notes 206

Engineering Calculus Notes 206 - 194 CHAPTER 2. CURVES (d)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
194 CHAPTER 2. CURVES (d) Show that −→ p ( θ ) and −→ q ( σ ) cannot be reparametrizations of each other. ( Hint: Consider short open intervals about each of the parameter values where the origin is crossed, and show that their images under −→ p ( θ ) cannot match those under −→ q ( σ ).) History note: 15. Bolzano’s curve: A version of the following was constructed by Bernhard Bolzano (1781-1848) in the 1830’s; a fuller study is given in ( Calculus Deconstructed , § 4.11). (a) Start with the following: suppose we have an aFne function
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

Ask a homework question - tutors are online