Sum rule may refer to:
- Sum rule in differentiation
- Sum rule in integration
- Rule of sum, a counting principle in combinatorics
- The sum rule in probability theory follows directly from the probability axioms
- Sum rule in quantum mechanics
... In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist ... The sum rule in integration follows from it ... The rule itself is a direct consequence of differentiation from first principles ...
... Let y be a function given by the sum of two functions u and v, such that Now let y, u and v be increased by small increases Δy, Δu and Δv respectively ... throughout by Δx Let Δx tend to 0 Now recall that y = u + v, giving the sum rule in differentiation The rule can be extended to subtraction, as follows Now use the special case of the constant ...
... scattering, which also contains the Goldberger-Miyazawa-Oehme Sum Rule ... The GMO Sum Rule is often used in the analysis of the pion-nucleon system ...
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