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  2. Combined Graduate Level Examination - Wikipedia

    en.wikipedia.org/wiki/Combined_Graduate_Level...

    The Staff Selection Commission is expected to release the SSC CGL result 2024 soon on its official website - ssc.gov.in. The Commission released the SSC CGL answer key on October 3, 2024. The last date to send objections was October 8, 2024. The Commission will consider the objections and analyze the representation received from the candidates.

  3. Staff Selection Commission - Wikipedia

    en.wikipedia.org/wiki/Staff_Selection_Commission

    The commission is headed by a Chairman [5] and two members after him. Besides, there are one Secretary, one Director, one Deputy Secretary, two Joint Directors, nine Under Secretaries, four Deputy Directors, one Finance & Budget Officer, one Assistant Director (OL), 24 Section Officers and more than 183 supporting officers/staff are at the Headquarters for discharging the duties and ...

  4. Short five lemma - Wikipedia

    en.wikipedia.org/wiki/Short_five_lemma

    In mathematics, especially homological algebra and other applications of abelian category theory, the short five lemma is a special case of the five lemma.It states that for the following commutative diagram (in any abelian category, or in the category of groups), if the rows are short exact sequences, and if g and h are isomorphisms, then f is an isomorphism as well.

  5. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    Linear algebra took its modern form in the first half of the twentieth century, when many ideas and methods of previous centuries were generalized as abstract algebra. The development of computers led to increased research in efficient algorithms for Gaussian elimination and matrix decompositions, and linear algebra became an essential tool for ...

  6. Abstract algebra - Wikipedia

    en.wikipedia.org/wiki/Abstract_algebra

    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .

  7. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.

  8. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  9. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number n is denoted n 3, using a superscript 3, [a] for example 2 3 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3.

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