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  2. Bihar School Examination Board - Wikipedia

    en.wikipedia.org/wiki/Bihar_School_Examination_Board

    The syllabus for the Bihar School Examination Board (BSEB) varies depending on the class and stream (Science, Commerce, Arts). Class 10th (Matriculation) Syllabus: The class 10th syllabus covers core subjects like Mathematics, Science, Social Science, English, and Hindi. It also includes optional subjects like Sanskrit, Urdu, etc.

  3. Relation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Relation_(mathematics)

    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]

  4. Equivalence class - Wikipedia

    en.wikipedia.org/wiki/Equivalence_class

    Formally, given a set and an equivalence relation on , the equivalence class of an element in is denoted [] or, equivalently, [] to emphasize its equivalence relation . The definition of equivalence relations implies that the equivalence classes form a partition of S , {\displaystyle S,} meaning, that every element of the set belongs to exactly ...

  5. BSEB - Wikipedia

    en.wikipedia.org/wiki/BSEB

    Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. BSEB or bseb may refer to: Bihar School Examination Board ...

  6. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    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.

  7. Category of relations - Wikipedia

    en.wikipedia.org/wiki/Category_of_relations

    In mathematics, the category Rel has the class of sets as objects and binary relations as morphisms. A morphism (or arrow) R : A → B in this category is a relation between the sets A and B, so R ⊆ A × B. The composition of two relations R: A → B and S: B → C is given by (a, c) ∈ S o R ⇔ for some b ∈ B, (a, b) ∈ R and (b, c) ∈ ...

  8. Composition of relations - Wikipedia

    en.wikipedia.org/wiki/Composition_of_relations

    A small circle () has been used for the infix notation of composition of relations by John M. Howie in his books considering semigroups of relations. [10] However, the small circle is widely used to represent composition of functions g ( f ( x ) ) = ( g ∘ f ) ( x ) {\displaystyle g(f(x))=(g\circ f)(x)} , which reverses the text sequence from ...

  9. Education in Bihar - Wikipedia

    en.wikipedia.org/wiki/Education_in_Bihar

    After a series of reforms and steps taken by BSEB such as interviewing toppers before releasing results, the pass percentage has increased considerably. In 2020, 80.44% students who had appeared for class 12 BSEB examination were declared passed. Similarly, for class 10, the pass percentage for 2020 examination improved to 80.59%.