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A right R-module M R is defined similarly in terms of an operation · : M × R → M. Authors who do not require rings to be unital omit condition 4 in the definition above; they would call the structures defined above "unital left R-modules". In this article, consistent with the glossary of ring theory, all rings and modules are assumed to be ...
Key Stage 4 (KS4) is the legal term for the two years of school education which incorporate GCSEs, and other examinations, in maintained schools in England normally known as Year 10 and Year 11, when pupils are aged between 14 and 16 by August 31. (In some schools, KS4 work is started in Year 9.)
For two elements a 1 + b 1 i + c 1 j + d 1 k and a 2 + b 2 i + c 2 j + d 2 k, their product, called the Hamilton product (a 1 + b 1 i + c 1 j + d 1 k) (a 2 + b 2 i + c 2 j + d 2 k), is determined by the products of the basis elements and the distributive law. The distributive law makes it possible to expand the product so that it is a sum of ...
Reform mathematics is an approach to mathematics education, particularly in North America. It is based on principles explained in 1989 by the National Council of Teachers of Mathematics (NCTM). The NCTM document Curriculum and Evaluation Standards for School Mathematics ( CESSM ) set forth a vision for K–12 (ages 5–18) mathematics education ...
The programme was presented by Richard Whiteley for 23 years until his death on 26 June 2005. It was then presented by Des Lynam from October 2005 until December 2006, Des O'Connor from January 2007 until December 2008, Jeff Stelling from January 2009 until December 2011 and Nick Hewer from January 2012 until his retirement in June 2021, with Colin Murray standing in for Nick Hewer during part ...
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