- the
relation between convexity and
duration above,
conventional bond
convexities must
always be positive. The
positivity of
convexity can also be proven...
- — specifically, in
Riemannian geometry —
geodesic convexity is a
natural generalization of
convexity for sets and
functions to
Riemannian manifolds. It...
-
convex analysis. "Non‑
convexities in [both]
production and
consumption ...
required mathematical tools that went
beyond convexity, and
further development...
- it is not
adequate for the
analysis of non-
convexities, such as
increasing returns to scale. "Non-
convexities in [both]
production and
consumption ... required...
- In
mathematical finance,
convexity refers to non-linearities in a
financial model. In
other words, if the
price of an
underlying variable changes, the...
- In mathematics, the
modulus of
convexity and the
characteristic of
convexity are
measures of "how convex" the unit ball in a
Banach space is. In some...
-
Complex convexity is a
general term in
complex geometry. A set Ω {\displaystyle \Omega } in C n {\displaystyle \mathbb {C} ^{n}} is
called C {\displaystyle...
-
notion of
convexity may be
generalised to
other objects, if
certain properties of
convexity are
selected as axioms.
Given a set X, a
convexity over X is...
- {\displaystyle a+b\leq 1.} The
concept of
strong convexity extends and
parametrizes the
notion of
strict convexity. Intuitively, a strongly-convex
function is...
- SOS-convex
amounts to
solving a
semidefinite programming problem, SOS-
convexity can be used as a
proxy to
establishing if a
polynomial is convex. In contrast...