- In mathematics, the sign of a real
number is its
property of
being either positive, negative, or 0.
Depending on
local conventions, zero may be considered...
-
derivative relationship is used to
define the Fermi-Dirac
integral for
nonpositive indices j.
Differing notation for F j {\displaystyle F_{j}}
appears in...
- and
their automorphisms,
groups acting on trees,
various notions of
nonpositive curvature for
groups (CAT(0) groups, Dehn functions, automaticity...)...
-
nonnegative real
numbers as a domain, and
having either the
nonnegative or the
nonpositive real
numbers as images. When
looking at the
graphs of
these functions...
- three-digit
number abc,
where a, b, and c are the digits, each
nonpositive if abc is
nonpositive; we have (abc) mod 7 = 9*a + 3*b + c.
Repeat the
formula down...
-
theorem states that a
complete simply connected Riemannian manifold M with
nonpositive sectional curvature is
diffeomorphic to the
Euclidean space Rn with n...
- show that any
smooth map from a
closed manifold to a
closed manifold of
nonpositive curvature can be
deformed to a
harmonic map. In 1975,
Hamilton considered...
-
defined by
constraining each
Cartesian coordinate to be
nonnegative or
nonpositive. Such a
subset is
defined by a
system of inequalities: ε1x1 ≥ 0 ...
- omitted). The
number 0 is the
smallest nonnegative integer, and the
largest nonpositive integer. The
natural number following 0 is 1 and no
natural number precedes...
-
metrics exist on any
closed Kähler
manifold whose first Chern class is
nonpositive. Yau's
method adapted earlier work of Calabi, Jürgen Moser, and Aleksei...
