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Anticipatory socialization is the process, facilitated by social interactions, in which non-group members learn to take on the values and standards of groups that they aspire to join, so as to ease their entry into the group and help them interact competently once they have been accepted by it.
Organizational assimilation is a process in which new members of an organization integrate into the organizational culture.. This concept, proposed by Fredric M. Jablin, [1] consists of two dynamic processes that involve the organizational attempts to socialize the new members, as well as the current organization members. [2]
In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative analogue of a polynomial ring since its elements may be described as "polynomials" with non-commuting variables. Likewise, the polynomial ring may be regarded as a free commutative algebra.
If G is a locally compact Hausdorff group, G carries an essentially unique left-invariant countably additive Borel measure μ called a Haar measure.Using the Haar measure, one can define a convolution operation on the space C c (G) of complex-valued continuous functions on G with compact support; C c (G) can then be given any of various norms and the completion will be a group algebra.
Of particular importance is the C*-algebra of a locally compact group G. This is defined as the enveloping C*-algebra of the group algebra of G. The C*-algebra of G provides context for general harmonic analysis of G in the case G is non-abelian. In particular, the dual of a locally compact group is defined to be the primitive ideal space of ...
The field K is commonly taken to be the complex numbers C or the reals R, so that one discusses the group algebras C[G] or R[G]. The group algebra C[G] of a finite group over the complex numbers is a semisimple ring. This result, Maschke's theorem, allows us to understand C[G] as a finite product of matrix rings with entries in C.
In artificial intelligence (AI), anticipation occurs when an agent makes decisions based on its explicit beliefs about the future. More broadly, "anticipation" can also refer to the ability to act in appropriate ways that take future events into account, without necessarily explicitly possessing a model of the future events.
He start[s] a school of algebra which flourished for several hundreds of years”. He also discovers the binomial theorem for integer exponents, which “was a major factor in the development of numerical analysis based on the decimal system.” c. 1000: Abū Sahl al-Qūhī (Kuhi) solves equations higher than the second degree. c. 1050
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