- 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...
- 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...
-
derivative relationship is used to
define the Fermi-Dirac
integral for
nonpositive indices j.
Differing notation for F j {\displaystyle F_{j}}
appears in...
- 1080/0025570X.1998.11996652. Ballmann,
Werner (1995).
Lectures on
spaces of
nonpositive curvature. DMV
Seminar 25. Basel: Birkhäuser Verlag. pp. viii+112. ISBN 3-7643-5242-6...
-
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...
-
theorem states that a
complete simply connected Riemannian manifold M with
nonpositive sectional curvature is
diffeomorphic to the
Euclidean space Rn with n...
- the
classical isoperimetric inequality may be
generalized to
spaces of
nonpositive sectional curvature,
known as Cartan–Hadamard manifolds. The conjecture...
- and
their automorphisms,
groups acting on trees,
various notions of
nonpositive curvature for
groups (CAT(0) groups, Dehn functions, automaticity...)...
- 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...
-
instant when R = 0, but
exactly that is
predicted mathematically when k is
nonpositive and the
cosmological principle is satisfied. By analogy, an infinite...
