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In mathematics, the ideal class group (or class group) of an algebraic number field K is the quotient group J K /P K where J K is the group of fractional ideals of the ring of integers of K, and P K is its subgroup of principal ideals. The class group is a measure of the extent to which unique factorization fails in the ring of integers of K.
DP (complexity), or difference polynomial time, a computational complexity class; Data processing; Software design pattern, a reusable solution to a common problem in software design; Device-independent pixel, a unit representing an abstraction of a pixel for use by an application
WhatsApp's parent company Facebook is dealing with political crisis after crisis. In a blog post published Tuesday, WhatsApp announced new features that would be rolling out "over the next few weeks."
WhatsApp (officially WhatsApp Messenger) is an instant messaging (IM) and voice-over-IP (VoIP) service owned by technology conglomerate Meta. [13] It allows users to send text, voice messages and video messages, [14] make voice and video calls, and share images, documents, user locations, and other content.
The elements of this group have also been studied by themselves: an important result is the Nielsen–Thurston classification theorem, and a generating family for the group is given by Dehn twists which are in a sense the "simplest" mapping classes. Every finite group is a subgroup of the mapping class group of a closed, orientable surface; [4 ...
The narrow class group features prominently in the theory of representing integers by quadratic forms. An example is the following result (Fröhlich and Taylor, Chapter V, Theorem 1.25). Theorem. Suppose that = (), where d is a square-free integer, and that the narrow class group of K is trivial. Suppose that
[2] [4] The founder of the WhatsApp Group, Bolatbek Nurgaliyev is a Salafi Muslim. [5] He started the group, called "Ahli Sunnah Val Jamagat" [6] on 2 December 2013. [2] Between 2013 and 2018, the group grew to 171 members. [2] Most of the messages in the group were sharing articles written by Islamic scholars. [2]
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