- mathematics, an
infinitesimal number is a non-zero
quantity that is
closer to 0 than any non-zero real
number is. The word
infinitesimal comes from a 17th-century...
-
generalizations of
arithmetic operations.
Originally called infinitesimal calculus or "the
calculus of
infinitesimals", it has two
major branches,
differential calculus...
- mathematics, the term
infinitesimal generator may
refer to: an
element of the Lie algebra, ****ociated to a Lie
group Infinitesimal generator (stochastic...
- 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...
-
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...
- mathematics, an
infinitesimal transformation is a
limiting form of
small transformation. For
example one may talk
about an
infinitesimal rotation of a rigid...
- 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...
- or
infinitesimal numbers. The
standard way to
resolve these debates is to
define the
operations of
calculus using limits rather than
infinitesimals. Nonstandard...
- An
infinitesimal rotation matrix or
differential rotation matrix is a
matrix representing an
infinitely small rotation.
While a
rotation matrix is an...
- In
continuum mechanics, the
infinitesimal strain theory is a
mathematical approach to the
description of the
deformation of a
solid body in
which the...
