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The presence in the market led to a number of major mobile device partnerships, which led them to expand their offering into the mobile phone market. These vendors included Nokia, Motorola and SonyEricsson. [2] In early 2000, it was acquired by Sigma AB, a leading Swedish engineering services business, and became its UK subsidiary.
This is a quite typical example: whenever a space is made up of a finite number of disjoint connected components in this way, the components will be clopen. Now let X {\displaystyle X} be an infinite set under the discrete metric – that is, two points p , q ∈ X {\displaystyle p,q\in X} have distance 1 if they're not the same point, and 0 ...
A simple ring contains the same number of sigma bonds as atoms, and a polycyclic ring system contains more sigma bonds than atoms. A molecule containing one or more rings is called a cyclic compound, and a molecule containing two or more rings (either in the same or different ring systems) is termed a polycyclic compound.
There is no more than 1 sigma bond between any two atoms. Molecules with rings have additional sigma bonds, such as benzene rings, which have 6 C−C sigma bonds within the ring for 6 carbon atoms. The anthracene molecule, C 14 H 10, has three rings so that the rule gives the number of sigma bonds as 24 + 3 − 1 = 26. In this case there are 16 ...
An important example, especially in the theory of probability, is the Borel algebra on the set of real numbers.It is the algebra on which the Borel measure is defined. . Given a real random variable defined on a probability space, its probability distribution is by definition also a measure on the Borel a
For sigma-additivity, one needs in addition that the concept of limit of a sequence be defined on that set. For example, spectral measures are sigma-additive functions with values in a Banach algebra. Another example, also from quantum mechanics, is the positive operator-valued measure.
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Alternatively, consider the real numbers with the counting measure; the measure of any finite set is the number of elements in the set, and the measure of any infinite set is infinity. This measure is not σ -finite, because every set with finite measure contains only finitely many points, and it would take uncountably many such sets to cover ...