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A function [d] A relation that is functional and total. For example, the red and green relations in the diagram are functions, but the blue and black ones are not. An injection [d] A function that is injective. For example, the green relation in the diagram is an injection, but the red, blue and black ones are not. A surjection [d]
The syllabus generally follows the NCERT syllabus for classes 11 and 12. For 2024 exam, it will follow the rationalized syllabus of 2023-24. Syllabus for IAT [ 9 ]
On 21 September 2021, the Union Education Ministry formed a 12-member committee to develop new curriculums for School, early child, teacher and adult education. This panel tasked with developing 4 national curriculum frameworks (NCFs) will be headed by NEP-2020 drafting committee chairperson and Former ISRO chairman (1994-2003) Krishnaswamy ...
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
A difference equation of order k is an equation that involves the k first differences of a sequence or a function, in the same way as a differential equation of order k relates the k first derivatives of a function. The two above relations allow transforming a recurrence relation of order k into a difference equation of order k, and, conversely ...
A multivariate function, multivariable function, or function of several variables is a function that depends on several arguments. Such functions are commonly encountered. For example, the position of a car on a road is a function of the time travelled and its average speed.
The equivalence relations on any set X, when ordered by set inclusion, form a complete lattice, called Con X by convention. The canonical map ker : X^X → Con X, relates the monoid X^X of all functions on X and Con X. ker is surjective but not injective. Less formally, the equivalence relation ker on X, takes each function f : X → X to its ...