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The National Curriculum Framework 2005 (NCF 2005) is the fourth National Curriculum Framework published in 2005 by the National Council of Educational Research and Training (NCERT) in India. Its predecessors were published in 1975, 1988, 2000. The NCF 2005 serves as a guideline for syllabus, [1] textbooks, and teaching practices for the schools ...
The framework is an endeavour of the National Council for Teacher Education to encourage interested parties and stakeholders to give their views on the qualitative and quantitative improvements that could be achieved in educating teachers at school, graduate, post-graduate, doctoral and post-doctoral levels.
In category theory, a natural numbers object (NNO) is an object endowed with a recursive structure similar to natural numbers. More precisely, in a category E with a terminal object 1, an NNO N is given by: a global element z : 1 → N, and; an arrow s : N → N,
The official organ of the National Civic Federation was a magazine called The National Civic Federation Review.. The National Civic Federation (NCF) was an American economic organization founded in 1900 which brought together chosen representatives of big business and organized labor, as well as consumer advocates in an attempt to ameliorate labor disputes.
In the category of pointed sets (whose objects are non-empty sets together with a distinguished element; a morphism from (A, a) to (B, b) being a function f : A → B with f(a) = b), every singleton is a zero object. Similarly, in the category of pointed topological spaces, every singleton is a zero object.
By the above, we can define the category of cones to F as the comma category (Δ ↓ F). Morphisms of cones are then just morphisms in this category. This equivalence is rooted in the observation that a natural map between constant functors Δ(N), Δ(M) corresponds to a morphism between N and M. In this sense, the diagonal functor acts ...
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Schematic representation of a category with objects X, Y, Z and morphisms f, g, g ∘ f. (The category's three identity morphisms 1 X, 1 Y and 1 Z, if explicitly represented, would appear as three arrows, from the letters X, Y, and Z to themselves, respectively.) Category theory is a general theory of mathematical structures and their