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Noise-Sensitivity â Cont. ⢠Advantage: very efficiently testable (using only two queries) by a perturbation-test. ⢠Def (perturbation-test): choose x~ïp, and y~ïï¬,p,x, check whether f(x)=f(y). The success is proportional to the noisesensitivity of f. 2 ⢠Prop:2 ïthe nsï¬ ï¬-noise-sensitivity ï©ï«fï¹ï» =1 ï ï¥ ï¨1 ï ï¬ ï© fis given ï¨S ï© by S S 109