When analyzing sums, random walks, or other additive functions of martingales and Azuma's inequality.
2.
The ErdQs Wintner theorem and the ErdQs Kac theorem on additive functions were foundational results.
3.
Is a complex measure on " M " ( that is, a complex-valued countably additive function ).
4.
The maximum of additive set functions is subadditive ( dually, the minimum of additive functions is superadditive ).
5.
When calculating moments of inertia, it is useful to remember that it is an additive function and exploit the parallel axis and perpendicular axis theorems.
6.
A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector space " E ".
7.
*PM : there exist additive functions which are not linear, id = 8417 new !-- WP guess : there exist additive functions which are not linear-- Status:
8.
A product of additive functions and exponentials is called an exponential monomial, and a linear combination of these is then an exponential polynomial on " G ".
9.
*PM : there exist additive functions which are not linear, id = 8417 new !-- WP guess : there exist additive functions which are not linear-- Status:
10.
The set of fractionally subadditive functions equals the set of functions that can be expressed as the maximum of additive functions, as in the example in the previous paragraph.
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