Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Convex set

In geometry, a set of points is convex if it contains every line segment between two points in the set. For example, a solid cube is a convex set, but anything that is hollow or has an indent, such as a crescent shape, is not convex.

Definitions, Properties & Convex hulls and Minkowski sums

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Convex set. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definitions

Properties

Convex hulls and Minkowski sums

Generalizations and extensions for convexity

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Convex set

Nodes94
Edges93
Triples82
Avg. degree1.98
Density0.021277
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Convex set

Top relations

related to External links · 9
Convex set → Aarhus University, Convex, Convex Sets, EMS Press, Encyclopedia, Lectures, March, Mathematics, Niels Lauritzen
related to Face of a convex set · 8
Convex set → According, An, Equivalently, Krein, Let, Milman, More, Then
related to Closed convex sets · 7
Convex set → Banach, Closed, From, Hahn, The, They, To
related to Examples · 7
Convex set → Archimedean, Euclidean, Platonic, Poinsot, Some, The, The Kepler
related to Minkowski sums of convex sets · 6
Convex set → Dieudonné, It, Note, S-, The, The Minkowski
related to Properties · 6
Convex set → As, Given, In, More, Such, The
related to Other properties · 5
Convex set → Cl, If, If Int, Int, Let
related to Convex sets and rectangles · 4
Convex set → Area, Let, The, We
related to Definitions · 4
Convex set → Euclidean, Further, Let, This
related to Order topology · 4
Convex set → Convexity, Let, That, The

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

convex set sets displaystyle space closed points subset real convexity vector two hull euclidean called subsets operatorname collection intersection properties

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Convex setis acase r0.90text
Convex setrelated to Closed convex setsClosed0.60section
Convex setrelated to Closed convex setsThey0.60section
Convex setrelated to Closed convex setsFrom0.60section
Convex setrelated to Closed convex setsTo0.60section
Convex setrelated to Closed convex setsThe0.60section
Convex setrelated to Closed convex setsHahn0.60section
Convex setrelated to Closed convex setsBanach0.60section
Convex setrelated to Convex hullsEvery0.60section
Convex setrelated to Convex hullsThe0.60section
Convex setrelated to Convex hullsConv0.60section
Convex setrelated to Convex sets and rectanglesLet0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.