In analysis what does |x,y| mean/represent?

  • Thread starter Thread starter coverband
  • Start date Start date
  • Tags Tags
    Analysis
Click For Summary
SUMMARY

The notation |x,y| in mathematical analysis represents the norm or absolute value of the inner product of vectors x and y. This notation is often used interchangeably with or (x, y) in various texts. Understanding this notation is crucial for interpreting vector relationships in higher-dimensional spaces.

PREREQUISITES
  • Understanding of vector spaces
  • Familiarity with inner product definitions
  • Knowledge of norms in mathematical analysis
  • Basic concepts of linear algebra
NEXT STEPS
  • Study the properties of inner products in vector spaces
  • Learn about different types of norms, including L2 norm
  • Explore the geometric interpretation of inner products
  • Investigate applications of inner products in machine learning
USEFUL FOR

Students and professionals in mathematics, physics, and engineering who are looking to deepen their understanding of vector analysis and inner product spaces.

coverband
Messages
170
Reaction score
1

Homework Statement



In analysis what does |x,y| mean/represent?

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
coverband said:

Homework Statement



In analysis what does |x,y| mean/represent?

Without any context it's hard to tell, but it might mean the norm or absolute value of the inner product of x and y. Many texts represent the inner product as <x, y> or as (x, y).
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 24 ·
Replies
24
Views
4K
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K