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 the Weierstrass M-test and uniform limit theorem together. An integral with non-infinite integrands is (*) improper if this property does not hold for at least one point (10[1])in the interval of integration. (10[1])Functions that scale distances by at most a constant factor (10[1])demonstrate a strong form of this property named for Lipschitz. For 10 points, name this property that holds at a limit point if and only if the limit as the function approaches the limit point is equal to the function’s value at the limit point. ■END■