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  2. IISER Aptitude Test - Wikipedia

    en.wikipedia.org/wiki/IISER_Aptitude_Test

    IAT consists of 60 questions: 15 questions each from Biology, Chemistry, Mathematics, and Physics. Total time for answering the test is 3 hours. Questions are of multiple choice type with only one correct answer. Each correct answer is awarded 4 marks. Each incorrect answer leads to the deduction of 1 mark. Unanswered questions are awarded 0 mark.

  3. AS-level - Wikipedia

    en.wikipedia.org/wiki/AS-level

    AS-level can refer to: Advanced Subsidiary level, a public examination taken for the General Certificate of Education, with a smaller course content than an A level. Advanced Supplementary level, an old qualification which was part of the UK Advanced level system prior to 2000; Hong Kong Advanced Supplementary Level Examination

  4. NCERT textbook controversies - Wikipedia

    en.wikipedia.org/wiki/NCERT_textbook_controversies

    In the Class 7 textbook topic titled “Our Pasts-2”, pages 48 and 49 have been excluded. These pages mentioned “Mughal Emperors: Major campaigns and events.” The deletions also affected Biology and Chemistry textbooks as the theory of evolution and the periodic table were also purged from class 10 NCERT textbooks. [35] [36]

  5. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    In three-dimensional Euclidean space, these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as:

  6. Cayley–Hamilton theorem - Wikipedia

    en.wikipedia.org/wiki/Cayley–Hamilton_theorem

    But considering matrices with matrices as entries might cause confusion with block matrices, which is not intended, as that gives the wrong notion of determinant (recall that the determinant of a matrix is defined as a sum of products of its entries, and in the case of a block matrix this is generally not the same as the corresponding sum of ...

  7. Leibniz integral rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz_integral_rule

    In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of the form () (,), where < (), < and the integrands are functions dependent on , the derivative of this integral is expressible as (() (,)) = (, ()) (, ()) + () (,) where the partial derivative indicates that inside the integral, only the ...

  8. Nonlinear algebra - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_algebra

    Nonlinear algebra is the nonlinear analogue to linear algebra, generalizing notions of spaces and transformations coming from the linear setting. [1] Algebraic geometry is one of the main areas of mathematical research supporting nonlinear algebra, while major components coming from computational mathematics support the development of the area into maturity.

  9. Uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_principle

    where = is the reduced Planck constant.. The quintessentially quantum mechanical uncertainty principle comes in many forms other than position–momentum. The energy–time relationship is widely used to relate quantum state lifetime to measured energy widths but its formal derivation is fraught with confusing issues about the nature of time.