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  2. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    An online system named ePathshala, a joint initiative of NCERT and Ministry of Education, has been developed for broadcasting educational e-schooling resources including textbooks, audio, video, publications, and a variety of other print and non-print elements, [18] ensuring their free access through mobile phones and tablets (as EPUB) and from ...

  3. Consistent and inconsistent equations - Wikipedia

    en.wikipedia.org/wiki/Consistent_and...

    The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.

  5. Exemplar - Wikipedia

    en.wikipedia.org/wiki/Exemplar

    Exemplar, a well-known science problem and its solution, from Thomas Kuhn's The Structure of Scientific Revolutions; Exemplar, the first name for the ship USS Dorothea L. Dix; Exemplar, in exemplification theory, an illustrative representation of information or an event

  6. Solution set - Wikipedia

    en.wikipedia.org/wiki/Solution_set

    More generally, the solution set to an arbitrary collection E of relations (E i) (i varying in some index set I) for a collection of unknowns (), supposed to take values in respective spaces (), is the set S of all solutions to the relations E, where a solution () is a family of values (()) such that substituting () by () in the collection E makes all relations "true".

  7. AC-3 algorithm - Wikipedia

    en.wikipedia.org/wiki/AC-3_algorithm

    In constraint satisfaction, the AC-3 algorithm (short for Arc Consistency Algorithm #3) is one of a series of algorithms used for the solution of constraint satisfaction problems (or CSPs). It was developed by Alan Mackworth in 1977. The earlier AC algorithms are often considered too inefficient, and many of the later ones are difficult to ...

  8. Modularity theorem - Wikipedia

    en.wikipedia.org/wiki/Modularity_theorem

    The theorem states that any elliptic curve over can be obtained via a rational map with integer coefficients from the classical modular curve X 0 (N) for some integer N; this is a curve with integer coefficients with an explicit definition.

  9. e (mathematical constant) - Wikipedia

    en.wikipedia.org/wiki/E_(mathematical_constant)

    The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .