• Thumbnail for Infinitesimal
    an infinitesimal number is a quantity that is closer to 0 than what any standard non-zero real number is, but is not 0. The word infinitesimal comes...
    37 KB (5,090 words) - 11:22, 6 May 2024
  • generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus...
    73 KB (8,575 words) - 02:33, 6 May 2024
  • mathematics, the term infinitesimal generator may refer to: an element of the Lie algebra, associated to a Lie group Infinitesimal generator (stochastic...
    417 bytes (81 words) - 17:59, 24 June 2018
  • from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives of functions. The term is used in various...
    26 KB (3,886 words) - 04:13, 24 February 2024
  • Thumbnail for Hyperreal number
    Hyperreal number (category Mathematics of infinitesimals)
    extension of the real numbers to include certain classes of infinite and infinitesimal numbers. A hyperreal number x {\displaystyle x} is said to be finite...
    33 KB (4,892 words) - 07:43, 21 April 2024
  • mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid...
    4 KB (563 words) - 05:38, 17 May 2023
  • In mathematics, infinitesimal cohomology is a cohomology theory for algebraic varieties introduced by Grothendieck (1966). In characteristic 0 it is essentially...
    2 KB (151 words) - 20:51, 12 August 2023
  • An infinitesimal rotation matrix or differential rotation matrix is a matrix representing an infinitely small rotation. While a rotation matrix is an...
    16 KB (2,787 words) - 22:19, 11 March 2024
  • In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the...
    36 KB (6,834 words) - 01:23, 12 March 2024
  • Thumbnail for Leibniz's notation
    Leibniz's notation (category Mathematics of infinitesimals)
    Leibniz, uses the symbols dx and dy to represent infinitely small (or infinitesimal) increments of x and y, respectively, just as Δx and Δy represent finite...
    22 KB (2,889 words) - 12:58, 8 March 2024