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  2. Volume integral - Wikipedia

    en.wikipedia.org/wiki/Volume_integral

    In mathematics (particularly multivariable calculus), a volume integral (∭) is an integral over a 3-dimensional domain; that is, it is a special case of multiple integrals. Volume integrals are especially important in physics for many applications, for example, to calculate flux densities, or to calculate mass from a corresponding density ...

  3. Gauss–Codazzi equations - Wikipedia

    en.wikipedia.org/wiki/Gauss–Codazzi_equations

    The equations were originally discovered in the context of surfaces in three-dimensional Euclidean space. In this context, the first equation, often called the Gauss equation (after its discoverer Carl Friedrich Gauss ), says that the Gauss curvature of the surface, at any given point, is dictated by the derivatives of the Gauss map at that ...

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    A surface is a two-dimensional object, such as a sphere or paraboloid. [55] In differential geometry [53] and topology, [49] surfaces are described by two-dimensional 'patches' (or neighborhoods) that are assembled by diffeomorphisms or homeomorphisms, respectively. In algebraic geometry, surfaces are described by polynomial equations. [54]

  5. Volume - Wikipedia

    en.wikipedia.org/wiki/Volume

    Volume is a measure of regions in three-dimensional space. [1] It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch).

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics).

  7. Numerical differentiation - Wikipedia

    en.wikipedia.org/wiki/Numerical_differentiation

    The classical finite-difference approximations for numerical differentiation are ill-conditioned. However, if is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near , then there are stable methods.

  8. Watch: What you need to know about Day 5 of Kwanzaa: Nia - AOL

    www.aol.com/news/watch-know-day-5-kwanzaa...

    Tune in as Tatianna Mott provides a deep dive into the history and principles of Kwanzaa Day 5. On the fifth day of Kwanzaa, we light the second green candle to the right of the black candle.

  9. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    In the early 16th century, the Italian mathematician Scipione del Ferro (1465–1526) found a method for solving a class of cubic equations, namely those of the form x 3 + mx = n. In fact, all cubic equations can be reduced to this form if one allows m and n to be negative, but negative numbers were not known to him at that time. Del Ferro kept ...

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