- 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...
-
generalizations of
arithmetic operations.
Originally called infinitesimal calculus or "the
calculus of
infinitesimals", it has two
major branches,
differential calculus...
- 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...
- mathematics, the term
infinitesimal generator may
refer to: an
element of the Lie algebra, ****ociated to a Lie
group Infinitesimal generator (stochastic...
- In mathematics,
infinitesimal cohomology is a
cohomology theory for
algebraic varieties introduced by Grothendieck (1966). In
characteristic 0 it is essentially...
-
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...
- In mathematics, the
infinitesimal character of an
irreducible representation ρ of a
semisimple Lie
group G on a
vector space V is,
roughly speaking, a...
- 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...
- An
infinitesimal rotation matrix or
differential rotation matrix is a
matrix representing an
infinitely small rotation.
While a
rotation matrix is an...
