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Proving equalities and identities
Double counting
To prove that two objects are equal show that in enough circumstances they behave in the same way
To prove that two real numbers are equal, prove that neither is greater than the other
Use basic examples to calibrate exponents
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Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
Lower degree by increasing dimension (or vice-versa)
Numerical optimization
Numerical solution of partial differential equations
Mapped Quadrature
Transform equation to reach a solved pattern
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