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Software's growing importance increases engineers' responsibility to integrate ethical concerns in the design and development process. This course teaches students concrete strategies for responsible software engineering, focusing on identifying ethical is ...
In mathematics, a group action on a space is a group homomorphism of a given group into the group of transformations of the space. Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism group of the structure. It is said that the group acts on the space or structure. If a group acts on a structure, it will usually also act on objects built from that structure. For example, the group of Euclidean isometries acts on Euclidean space and also on the figures drawn in it.
Internet addiction disorder (IAD) can otherwise be referred to as problematic internet use or pathological internet use. It is generally defined as problematic, compulsive use of the internet, that results in significant impairment in an individual's function in various aspects of life over a prolonged period of time. Young people are at particular risk of developing internet addiction disorder, with case studies highlighting students whose academic performance plummets as they spend more and more time online.
Problematic smartphone use is proposed by some researchers to be a form of psychological or behavioral dependence on cell phones, closely related to other forms of digital media overuse such as social media addiction or internet addiction disorder. Other researchers have stated that terminology relating to behavioral addictions in regards to smartphone use can cause additional problems both in research and stigmatization of users, suggesting the term to evolve to problematic smartphone use.
In mathematics, a group is a non-empty set with an operation that satisfies the following constraints: the operation is associative, has an identity element, and every element of the set has an inverse element. Many mathematical structures are groups endowed with other properties. For example, the integers with the addition operation is an infinite group, which is generated by a single element called 1 (these properties characterize the integers in a unique way).
In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions. Equivalently, a solvable group is a group whose derived series terminates in the trivial subgroup. Historically, the word "solvable" arose from Galois theory and the proof of the general unsolvability of quintic equation. Specifically, a polynomial equation is solvable in radicals if and only if the corresponding Galois group is solvable (note this theorem holds only in characteristic 0).