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Terence Tao - Symmetries

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* Invariance under a symmetry -> suffices to test "normalized" objects (or restrict to a "section" of the symmetry). [I've referred to this trick in the past as "spending a symmetry".] * Monotonicity -> suffices to check "sufficiently large/small" / limiting / extremal cases * Estimate insensitive to multiplication by constants -> suffices to check "lacunary" values * Estimate insensitive to logarithmic losses -> suffices to check simple functions / prove distributional estimates (4/2)

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