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  2. Discriminant - Wikipedia

    en.wikipedia.org/wiki/Discriminant

    The discriminant is widely used in polynomial factoring, number theory, and algebraic geometry. The discriminant of the quadratic polynomial + + is , the quantity which appears under the square root in the quadratic formula.

  3. Discriminant of an algebraic number field - Wikipedia

    en.wikipedia.org/wiki/Discriminant_of_an...

    In mathematics, the discriminant of an algebraic number field is a numerical invariant that, loosely speaking, measures the size of the (ring of integers of the) algebraic number field. More specifically, it is proportional to the squared volume of the fundamental domain of the ring of integers , and it regulates which primes are ramified .

  4. Greek letters used in mathematics, science, and engineering

    en.wikipedia.org/wiki/Greek_letters_used_in...

    Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.

  5. Resultant - Wikipedia

    en.wikipedia.org/wiki/Resultant

    The number of rows of the Macaulay matrix is less than (), where e ~ 2.7182 is the usual mathematical constant, and d is the arithmetic mean of the degrees of the . It follows that all solutions of a system of polynomial equations with a finite number of projective zeros can be determined in time d O ( n ) . {\displaystyle d^{O(n)}.}

  6. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Differential equations are an important area of mathematical analysis with many applications in science and engineering. Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. [1] [2]

  7. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]

  8. Definitions of mathematics - Wikipedia

    en.wikipedia.org/wiki/Definitions_of_mathematics

    The preceding kinds of definitions, which had prevailed since Aristotle's time, [4] were abandoned in the 19th century as new branches of mathematics were developed, which bore no obvious relation to measurement or the physical world, such as group theory, projective geometry, [3] and non-Euclidean geometry.

  9. Mathematical structure - Wikipedia

    en.wikipedia.org/wiki/Mathematical_structure

    In Mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation, metric, or topology). Τhe additional features are attached or related to the set (or to the sets), so as to provide it (or them) with some additional meaning or significance.