A probability measure can be broken into the sum of three components, two of which are named for this property, in Lebesgue’s decomposition theorem. In a compact set, the Heine-Cantor theorem presents a statement about functions with this property that can be used to prove Cauchy’s Theorem. One can prove that a sequence of functions converges to one with this property by applying (15[1])the Weierstrass M-test (15[1])and uniform limit theorem together. (15[1])An integral with non-infinite integrands is (*) improper if this property does not hold (10[1])for at least (10[1])one (-5[1])point (10[1])in the (-5[1])interval of integration. (10[1])Functions that scale (10[1]-5[1])distances by at most a (10[1])constant factor (10[1])demonstrate (10[1])a strong form of this property named for Lipschitz. (10[2])For (10[1])10 points, (10[2])name this property that holds at a limit point if and only if the limit as the function approaches the limit (10[1])point is equal to the function’s value at the limit point. ■END■ (10[1])