additive function वाक्य
उदाहरण वाक्य
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- When analyzing sums, random walks, or other additive functions of martingales and Azuma's inequality.
- The ErdQs Wintner theorem and the ErdQs Kac theorem on additive functions were foundational results.
- Is a complex measure on " M " ( that is, a complex-valued countably additive function ).
- The maximum of additive set functions is subadditive ( dually, the minimum of additive functions is superadditive ).
- 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.
- A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector space " E ".
- *PM : there exist additive functions which are not linear, id = 8417 new !-- WP guess : there exist additive functions which are not linear-- Status:
- 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 ".
- *PM : there exist additive functions which are not linear, id = 8417 new !-- WP guess : there exist additive functions which are not linear-- Status:
- 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.
- It was during this time that Henney wrote her dissertation " The theory of set-valued additive functions defined on base-cones in Banach spaces with values in the collection of compact, convex sets ".
- (A consequence of this is that an additive function cannot take both & minus; & infin; and + & infin; as values, for the expression & infin; & minus; & infin; is undefined .)
- The new company will include most of the assets of Exxon Chemical's Paramins Division, based in Linden, N . J ., as well as the petroleum additives functions of Shell Chemical and Shell International.
- Countably additive vector measures defined on sigma-algebras are more general than finite measures, finite signed measures, and complex measures, which are countably additive functions taking values respectively on the real interval [ 0, \ infty ), the set of real numbers, and the set of complex numbers.
- It can easily be seen that the latter ( linear ) representation is much more efficient in case of additive functions, as when we add many elements the latter representation will have only O ( " n " ) elements, while the former ( pointwise ), even with sharing, exponentially many.
- Similarly to how exponential functions on exponential fields are defined, given a topological abelian group " G " a homomorphism from " G " to the additive group of the complex numbers is called an additive function, and a homomorphism to the multiplicative group of nonzero complex numbers is called an exponential function, or simply an exponential.
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