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

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- #1

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

- #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.

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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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

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This is different than order of magnitude.Originally posted by nbo10

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

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