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In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [1] The set X is called the domain of the function [2] and the set Y is called the codomain of the function. [3] Functions were originally the idealization of how a varying quantity depends on another quantity.
The expectations for delivering the National Curriculum for mathematics in England at Key Stages 1 and 2 are tightly defined with clear time-linked objectives. The Department for Education has provided an initial annual scheme of work [6] (or set of expectations) for each school/academic year from Year 1 (age 5/6) to and including Year 6 (age ...
Module Two – awarded to candidates who, receive a merit in the externally assessed lesson, with a minimum of a pass for the external Background essay, a pass or merit for the submitted internally assessed lesson, with a minimum of a pass for the Background Essay and a pass for the professional development assignment (PDA) Module Three ...
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 ...
The scheme includes a multidimensional research, technical consulting, various implementations and funding support. [1] The principal objectives are to enhance quality of secondary education and increase the total enrollment rate from 52% (as of 2005–2006) to 75% in five years, i.e. from 2009 to 2014. [2]
Students taking an assessment. Summative assessment, summative evaluation, or assessment of learning [1] is the assessment of participants in an educational program. Summative assessments are designed both to assess the effectiveness of the program and the learning of the participants.
The completion of a finitely generated module M over a Noetherian ring R can be obtained by extension of scalars: M ^ = M ⊗ R R ^ . {\displaystyle {\widehat {M}}=M\otimes _{R}{\widehat {R}}.} Together with the previous property, this implies that the functor of completion on finitely generated R -modules is exact : it preserves short exact ...
Category theory is a branch of mathematics that seeks to generalize all of mathematics in terms of categories, independent of what their objects and arrows represent. Virtually every branch of modern mathematics can be described in terms of categories, and doing so often reveals deep insights and similarities between seemingly different areas ...