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Methods of Mathematical Physics, Third Edition by Bertha Jeffreys, Harold Jeffreys

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Chapter 7OPERATIONAL METHODS

Even Cambridge mathematicians deserve justice.

OLIVER HEAVISIDE

7·01. Rules of arithmetic for differential operator.

In a certain sense the operations of differentiation and definite integration satisfy the rules of arithmetic. For if a and b are constants

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and if we define

which is permissible by (1), we have the forms ...

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