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Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional vector space. For a more general coefficient ring, the same construction works if we take the free module on n generators. The construction of the free algebra on E is functorial in nature and satisfies an appropriate universal property.
The study was done in a college algebra course. The result showed that those who pass the course using MyMathLab is 70% while using traditional homework system is 49%. [ 4 ] However, the study neglected to factor in students preemptively dropping the course out of frustration and the increased amount of time students were forced to spend on a ...
Several websites claim to offer 'hacks' to easily access answers on the site, although these merely involve opening several tabs or checking client side source code. [ 10 ] [ 11 ] A popular excuse amongst students completing homework was that they had forgotten to click the 'Checkout' tab, which resulted in the results of supposedly completed ...
Socratic is an education tech company that offers a mobile app for students. The app uses AI technology to help students with their homework by providing educational resources like videos, definitions, Q&A, links and more.
HegartyMaths was an educational subscription tool used by schools in the United Kingdom.It was sometimes used as a replacement for general mathematics homework tasks. [1] Its creator, Colin Hegarty, was the UK Teacher of the Year in 2015 and shortlisted for the Varkey Foundation's Global Teacher Prize in 2016.
Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [5] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...
Lyryx Learning (Lyryx) was an educational software company for 23 years [2000-2023] offering open educational resources (OERs) paired with online formative assessment and other educational software for undergraduate introductory courses in Mathematics & Statistics and Business & Economics.
If R is a ring or an algebra over a field, and S is a subset of R, then the centralizer of S is exactly as defined for groups, with R in the place of G.. If is a Lie algebra (or Lie ring) with Lie product [x, y], then the centralizer of a subset S of is defined to be [4]
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