Simple notation question O(2pi)

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Discussion Overview

The discussion centers on the meaning and implications of Big O notation, specifically in the context of mathematical equations. Participants explore its usage in expressing terms of varying magnitudes and its significance in self-study materials.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant seeks clarification on the meaning of terms like O(λ) or O(π) in equations, questioning whether it represents an error function.
  • Another participant explains that A = O(x) indicates that A is of the same order of magnitude as x.
  • A third participant provides a link to a Wikipedia page for further details on Big O notation and related notations.
  • A later reply expresses gratitude for the quick responses received in the thread.

Areas of Agreement / Disagreement

Participants generally agree on the basic interpretation of Big O notation, but the initial question about its meaning in specific contexts remains open for further exploration.

Contextual Notes

The discussion does not address specific examples or applications of Big O notation beyond the initial inquiry, leaving some assumptions about its usage in various mathematical contexts unexamined.

s00mb
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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?
 
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A =O(x) means A is of the same order of magnitude as x.
 
Thanks again especially for the quick responses
 

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