-
related to the
classical notion of the
differential as "taking an
infinitesimally small piece of something": (1) in the
expression ∫ f ( x ) d α ( x...
-
represent the
quotient of two
infinitesimally small numbers, dy
being the
infinitesimally small change in y
caused by an
infinitesimally small change dx applied...
- mathematics, the term
infinitesimal generator may
refer to: an
element of the Lie algebra, ****ociated to a Lie
group Infinitesimal generator (stochastic...
- mathematics, an
infinitesimal transformation is a
limiting form of
small transformation. For
example one may talk
about an
infinitesimal rotation of a rigid...
- In mathematics,
infinitesimal cohomology is a
cohomology theory for
algebraic varieties introduced by Grothendieck (1966). In
characteristic 0 it is essentially...
- 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...
- \textstyle \lim {\frac {\beta }{\alpha }}=1} , they are
called equivalent infinitesimal (equiv. α ∼ β {\displaystyle \alpha \sim \beta } ). Moreover, if variables...
- be
interpreted as
describing a
world in
which lines are made out of
infinitesimally small segments, not out of points.
These segments can be
thought of...
-
system is a
quantity that
characterizes the rate of
separation of
infinitesimally close trajectories. Quantitatively, two
trajectories in
phase space...
-
explicit use of
indivisibles (indivisibles are
geometric versions of
infinitesimals). The work was
originally thought to be lost, but in 1906 was rediscovered...
