Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. for p, q ? s^1, the unit circle in the plane, let

For p, q ? S^1, the unit circle in the plane, let d_a(p, q) = min{|angle(p)...

60.1K

Verified Solution

Question

Advance Math

For p, q ? S^1, the unit circle in the plane, let
d_a(p, q) = min{|angle(p) ? angle(q)| , 2? ? |angle(p) ?angle(q)|}
where angle(z) ? [0, 2?) refers to the angle that z makes with thepositive x-axis.
Use your geometric talent to prove that d_a is a metric on S^1.

Answer & Explanation Solved by verified expert
4.3 Ratings (859 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Basic Math
1.2K views

What was the issue in the \"Blurred Lines\" Music case discussed in class? the subject is business law

Statistics
1.2K views

Andy is always looking for ways to make money fast. Lately, he has been trying to...

Biology
1.2K views

Why does water form into beads on a freshly washed or freshly waxed car. What characteristics...

General Management
1.2K views

Discuss the six types of worldwide strategies (local, regional, global, etc.). What are the two major factors...

Biology
1.2K views

When Curvularia protuberata reproduce sexually they produce the structure seen above Based on this structure...

Physics
1.2K views

To a circular wire two straight wires are attached as shown When current is passed...

Basic Math
1.2K views

If mWV 44 and mBX 126 find m F Answer m F V F W...

Accounting
1.2K views

A. ABC compra aparatos por $5 en efectivo y los vende a cuenta por $8....

Accounting
1.2K views

Bailey Delivery Company, Inc., was organized in 2018 in Wisconsin. The following transactions occurred during...

Accounting
1.2K views

X Corp issues a bond on March 1, 2016, with a maturity date of February...

Finance
1.2K views

To assist the organization in its strategic direction, which of the following must HRM NOT...

Finance
1.2K views

Logan Farms is evaluating the feasibility of a new grain elevator. The farm requires a...