mathematics, particularly in functional analysis and convex analysis, a convex series is a series of the form ∑ i = 1 ∞ r i x i {\displaystyle \sum _{i=1}^{\infty...

crescent shape, is not convex. The boundary of a convex set in the plane is always a convex curve. The intersection of all the convex sets that contain a...

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined...

mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also...

In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points...

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...

Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex...

works were shown in her first solo exhibition the Sense of Touch - Concave-convex in CAA Art Space, Hangzhou, China in 1993. The inspiration for the works...

analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces...

Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions. Important subclasses of convex curves...

region, is a convex set. More generally, one can show that when c=0, the interior of the region of absolute convergence is always a log-convex set in this...

Convex Computer Corporation was a company that developed, manufactured and marketed vector minisupercomputers and supercomputers for small-to-medium-sized...

on a convex subset of a real vector space such that the inverse image of any set of the form ( − ∞ , a ) {\displaystyle (-\infty ,a)} is a convex set....

which the function value at any convex combination of elements in the domain is greater than or equal to that convex combination of those domain elements...

economic phenomenon is convex when "intermediates (or combinations) are better than extremes". For example, an economic agent with convex preferences prefers...

\mathbb {R} ^{n}} is called a star domain (or star-convex set, star-shaped set or radially convex set) if there exists an s 0 ∈ S {\displaystyle s_{0}\in...

of a real or complex vector space is said to be absolutely convex or disked if it is convex and balanced (some people use the term "circled" instead of...

is a mirror with a curved reflecting surface. The surface may be either convex (bulging outward) or concave (recessed inward). Most curved mirrors have...

convex preferences (that do not prefer extremes to in-between values) and convex budget sets and on producers with convex production sets; for convex...

Schmidt, ISBN 978-0-87150-341-1 Pietsch, Albrecht (1972). Nuclear locally convex spaces. Berlin, New York: Springer-Verlag. ISBN 0-387-05644-0. OCLC 539541...

In graph drawing, a convex drawing of a planar graph is a drawing that represents the vertices of the graph as points in the Euclidean plane and the edges...

theorem on convex sets, published by Johann Radon in 1921, states that: Any set of d + 2 points in Rd can be partitioned into two sets whose convex hulls intersect...

reflecting. The convex polyhedron is well-defined with several equivalent standard definitions, one of which is a polyhedron that is a convex set, or the...

In convex analysis, a non-negative function f : Rn → R+ is logarithmically concave (or log-concave for short) if its domain is a convex set, and if it...

power series, an additional condition is required, which is called logarithmically-convex. A Reinhardt domain D is called logarithmically convex if the...

Šmulian, V. (1940). "On regularly convex sets in the space conjugate to a Banach space". Annals of Mathematics. Second Series. 41 (3): 556–583. doi:10.2307/1968735...

In convex analysis and the calculus of variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function...

X Animated Series Reveals April 2025 Debut, Theme Songs, Artists". Anime News Network. December 9, 2024. Retrieved April 11, 2025. "Convex Hero X". Moegirlpedia...

The Shapley–Folkman lemma is a result in convex geometry that describes the Minkowski addition of sets in a vector space. The lemma may be intuitively...

1969/1970. The 1600 and 2002 were assembled in Uruguay under licence by Convex. According to the Racing Sportscars database, the BMW 2002 was used in competitive...