- In mathematics, a
nowhere continuous function, also
called an
everywhere discontinuous function, is a
function that is not
continuous at any
point of...
-
restricting to
sufficiently small changes of its argument. A
discontinuous function is a
function that is not continuous.
Until the 19th century, mathematicians...
- 1016/b978-0-12-821330-8.00002-x.
Heaviside function, also
called the
Heaviside step
function, is a
discontinuous function. As
illustrated in Fig. 2.13, it values...
-
sequence of
functions meeting the
requirement that
converges to a
discontinuous function. For this,
modify an
example given in
Inner product space#Some examples...
-
Dirichlet function is a
Baire class 2
function. It
cannot be a
Baire class 1
function because a
Baire class 1
function can only be
discontinuous on a meagre...
-
differentiability of g is due to Paul du Bois-Reymond. The
given functions (f, g) may be
discontinuous,
provided that they are
locally integrable (on the given...
- and H(x){\displaystyle H(x)} is the
Heaviside step
function. As with most such
discontinuous functions,
there is a
question of the
value at the transition...
-
Singularity functions are a
class of
discontinuous functions that
contain singularities, i.e., they are
discontinuous at
their singular points. Singularity...
- {\displaystyle x_{0}} at
which f {\displaystyle f} is
discontinuous.
Consider the
piecewise function f ( x ) = { x 2 for x < 1 0 for x = 1 2 − x for ...
- of distributions.
Generalized functions are
especially useful in
making discontinuous functions more like
smooth functions, and
describing discrete physical...
