Order of magnitude

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  • #1
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In maths, what is meant by Order of magnitude, symbol O .
 

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  • #2
jeff
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Orders of magnitude indicate the size of something in powers of ten within a factor of ten. For example;

By "X exceeds Y by n orders of magnitude" is meant that X is at least 10^n but less than 10^(n+1) times greater than Y.

By "X is within n orders of magnitude of Y" is meant X is less than 10^(n+1) but greater than 10^-(n+1) times Y.
 
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  • #3
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If you see an expression like

Y(t)=1+t+t^2+O(t^3)

The O means that there are terms to the third power and higher that are drop.

JMD
 
  • #4
jeff
Science Advisor
658
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Originally posted by nbo10
If you see an expression like

Y(t)=1+t+t^2+O(t^3)

The O means that there are terms to the third power and higher that are drop.

JMD
This is different than order of magnitude.
 

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