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Conway's base 13 function: Art, Sketch of definition & Definition

Conway's base 13 function is a mathematical function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem. In other words, it is a function that satisfies a particular intermediate-value property — on any interval ( a , b ) {\displaystyle (a,b)} , the function f {\displaystyle f} takes…

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Conway's base 13 function topic overview

The analysis highlights Art, Sketch of definition and Definition as prominent areas in the source structure around Conway's base 13 function.

Related topics
16
Source areas
4
Connected nodes
20
Extracted relationships
2
Related term clusters
17
Bridge connections
20

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 11 topics
Definition · 2 topics
Sketch of definition · 2 topics
Properties · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Sketch of definition

Definition

Properties

For the semantics nerds

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Advanced semantic analysis

How Conway's base 13 function connects Entity context

The extracted context around Conway's base 13 function shows recurring relationship patterns in the source. For example, Conway's base 13 function → example of a simple-to-define function which takes on every real value in every interval, mathematical function created by British mathematician John H. Use these groups to spot repeated connection types before inspecting the individual relationships.

Conway's base 13 function

Top relations

is a · 2
Conway's base 13 function → example of a simple-to-define function which takes on every real value in every interval, mathematical function created by British mathematician John H

Important terminology

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

Important terminology

displaystyle function base-13 number interval conway's every property 13 conway point value example real base satisfies digits symbols representation tridecimal

Conway's base 13 function relationships Subject–Predicate–Object triples

TTTA extracted 2 structured relationships around Conway's base 13 function. Examples in this analysis include Conway's base 13 function → is a → mathematical function created by British mathematician John H and Conway's base 13 function → is a → example of a simple-to-define function which takes on every real value in every interval. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Conway's base 13 functionis amathematical function created by British mathematician John H0.90text
Conway's base 13 functionis aexample of a simple-to-define function which takes on every real value in every interval0.90text

Related concept clusters Related term clusters

The concept neighborhoods around Conway's base 13 function bring nearby vocabulary together. In this analysis, examples include Function, Conway and Interval. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Conway's base 13 function
    • Function
    • Conway
    • Interval
    • Real
    • Mathematician
    • Base-13
    • Digits
    • Intermediate-value
    • Takes
    • Conway's
    • Displaystyle
    • Number
  • conway's base 13 function
    • Function
    • Interval
    • Displaystyle
    • Symbols
    • Base-13
    • Property
    • Real
    • Conway
    • Every
    • Satisfies
    • Mathematician
    • Digits
  • mathematical function
    • Interval
    • Displaystyle
    • Base-13
    • Property
    • Real
    • Conway
    • Every
    • Satisfies
    • Intermediate-value
    • Takes
    • Value
    • Number
  • john h. conway
    • Converse
    • Theorem
    • Function
    • Base-13
    • Intermediate
    • Intermediate-value
    • Displaystyle
    • Satisfies
    • Value
    • Interval
    • Property
    • Real
  • intermediate value theorem
    • Theorem
    • Converse
    • Intermediate
    • Takes
    • Value
    • Base
    • Continuous
    • Dots
    • Interval
    • Function
    • Conway
    • Counterexample
  • surjective function
    • Interval
    • Displaystyle
    • Base-13
    • Property
    • Real
    • Conway
    • Every
    • Satisfies
    • Intermediate-value
    • Takes
    • Value
    • Number
  • discontinuous at every point
    • Interval
    • Tridecimal
    • Real
    • Intermediate-value
    • Function
    • Everywhere
    • Satisfies
    • Thus
    • Property
    • Continuous
    • Dots
    • Point
  • real number
    • Base-13
    • Satisfies
    • Representation
    • Number
    • Real
    • Stronger
    • Takes
    • Symbols
    • C'
    • Point
    • Well-formed
    • Definition

Connections between topic areas Semantic bridges

For Conway's base 13 function, one of the stronger structural bridges in this analysis connects Conway's base 13 function with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Conway's base 13 function — Overview · splits 9 ⟂ 12
Conway's base 13 function — Sketch of definition · splits 18 ⟂ 3
Conway's base 13 function — Definition · splits 18 ⟂ 3

Map overview Semantic statistics

Conway's base 13 function

Nodes21
Edges20
Triples2
Avg. degree1.9
Density0.095238
Components1

Source & methodology

TTTA analyzes the structure around Conway's base 13 function to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Art, Sketch of definition & Definition, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Conway's base 13 function · EN edition · Analysis: TopicsToTalkAbout

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