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The sum of two complex measures is a complex measure, as is the product of a complex measure by a complex number. That is to say, the set of all complex measures on a measure space (X, Σ) forms a vector space over the complex numbers. Moreover, the total variation ‖ ‖ defined as
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The class NC is the set of languages that can be solved by circuit families that are restricted not only to having polynomial-size but also to having polylogarithmic depth. The class AC is defined similarly to NC, however gates are allowed to have unbounded fan-in (that is, the AND and OR gates can be applied to more than two bits).
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In some of your examples, I can't tell whether the object under discussion is the space C of complex numbers or the space R 2 of pairs of real numbers. This article should restrict its attention to the former. Mgnbar 11:53, 15 April 2024 (UTC)
Video of the terrifying incident ran on the station’s morning news program, capturing the sound of at least eight gunshots, then screams, and briefly showed Flanagan, 41, holding a gun.
For a no-added-sugar breakfast, be sure to use unsweetened shredded wheat cereal. Read the label and opt for brands that contain 0 grams of added sugar. View Recipe