Undergrad Simple notation question O(2pi)

  • Thread starter Thread starter s00mb
  • Start date Start date
  • Tags Tags
    Notation
Click For Summary
The discussion clarifies that O(λ) and O(π) in equations represent terms that are of the same order of magnitude as λ or π, indicating their growth rate relative to other terms in the equation. This notation is commonly used in mathematical analysis to describe the behavior of functions as they approach a limit. The example provided, N(λ) = Cm Vol(M, g)λ m + O(λ m−1), illustrates how the O(λ m−1) term captures the lower-order effects in the equation. The concept is not an error function but rather a way to express asymptotic behavior. Understanding this notation is essential for self-study in advanced mathematics.
s00mb
Messages
33
Reaction score
10
What does it mean when you see an equation that has some terms then there is a O(λ) or O(π) in it? For example N(λ) = Cm Vol(M, g)λ m + O(λ m−1 ) . I self study and see this often but it is never explained in the books I use and it drives me nuts. Is this some sort of error function?
 
Mathematics news on Phys.org
A =O(x) means A is of the same order of magnitude as x.
 
Thanks again especially for the quick responses
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 36 ·
2
Replies
36
Views
6K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
5
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K