convex

• adj.

• 凸状の、凸面の

• n.

• 凸面、凸面体、凸面レンズ

対

concave

　 　

WordNet

1. curving or bulging outward (同)bulging
2. a shape that curves or bulges outward (同)convexity
3. flat on one side and convex on the other

PrepTutorEJDIC

1. 凸(とつ)状の凸面の / 凸面[体]

Wikipedia preview

出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2013/12/09 14:58:18」(JST)

wiki en

[Wiki en表示]

Convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to:

Mathematics

• Convex set, a set of points containing all line segments between each pair of its points
• Convex function, a function whose epigraph forms a convex set
• Convex polytope, a polytope that forms a convex set
• Convex hull, the minimal convex set containing a set of points X
• Convex combination, a linear combination of points with non-negative coefficients that sum up to 1
• Convex conjugate, a generalization of the Legendre transformation
• Convex bipartite graph
• Convex polygon
• Convex plane graph, a plane graph with convex faces
• Convex optimization, a subfield of optimization, studies the problem of minimizing convex functions
• Convex geometry, the branch of geometry studying convex sets, mainly in Euclidean space
  • Convex curve, the boundary of a convex set
  • Convex body, a compact convex set with non-empty interior

Economics

• Convexity in economics
• Convex preferences, a preference relation with convex upper contour sets

Finance

• Convexity (finance), second derivatives in financial modeling generally
• Bond convexity, a measure of the sensitivity of the duration (not price) of a bond to changes in interest rates

Other uses

• Convex lens, a lens with surfaces that curve outward
• Convex Computer, a company that produced a number of vector supercomputers
• Convex Software Library, a client-side open source solution for Internet Explorer

See also

• Non-convexity (economics), violations of the convexity assumptions of elementary economics
• Concave (disambiguation)
• List of convexity topics
• Obtuse angle
• Kachurovskii's theorem

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Japanese Journal

• 分散ラグランジュ緩和プロトコルにおけるバンドル法

• 人工知能学会論文誌 advpub(0), 2016
• NAID 130005114517

• Robustification of Learning Algorithms using Hinge-loss (情報論的学習理論と機械学習 情報論的学習理論ワークショップ(IBIS2015))

• 電子情報通信学会技術研究報告 = IEICE technical report : 信学技報 115(323), 139-146, 2015-11-26
• NAID 40020676664

• Twofold fused concave hosts containing two phosphorus atoms: modules for the sandwich-type encapsulation of fullerenes in variable cavities

• Chemical science 6(11), 6373-6378, 2015-11
• NAID 120005676716

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拡張検索	「concavoconvex」「convexoconcave」

「concavoconvex」

　　[★]

• 凹凸

関

convexoconcave、ruggedness

「convexoconcave」

　　[★]

• 凹凸

関

concavoconvex、ruggedness