Browse Definitions:
Definition

Euler diagram

Contributor(s): Matthew Haughn

An Euler diagram (pronounced OY-ler diagram) is a graphic depiction commonly used to illustrate the relationships between sets or groups; the diagrams are usually drawn with circles or ovals, although they can also use other shapes.

Inclusion is represented by the overlapping of circles – called Eulerian circles -- representing the sets and and subsets. Exclusion is represented by non-overlapping circles. Euler diagrams typically include colors that are blended in areas where the circles overlap. Generally, the size of the circles is not significant but only adjusted to allow for more space for subsets.

Euler diagrams are closely related to Venn diagrams and depending on the sets in question, can look identical. However, in Venn diagrams, overlapped circles don't necessarily indicate a commonality between sets, just a possible logical relationship, unless their labels are in the intersecting circle.

See a simple example, below, of how the relationship between the sets of animals and minerals and the subset of four legs could be depicted in Venn and Euler diagrams:

 Venn Diagram Euler diagram
304px-VennDiagram 300px-EulerDiagram

Euler diagrams, Eulerian circles and Euler’s constant are named for Swiss mathematician Leonhard Euler (1707–1783). Both Venn and Euler diagrams were adopted for teaching set theory as part of the new math movement of the 1960s.

This was last updated in July 2015

Continue Reading About Euler diagram

Start the conversation

Send me notifications when other members comment.

By submitting you agree to receive email from TechTarget and its partners. If you reside outside of the United States, you consent to having your personal data transferred to and processed in the United States. Privacy

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

SearchCompliance

  • internal audit (IA)

    An internal audit (IA) is an organizational initiative to monitor and analyze its own business operations in order to determine ...

  • pure risk (absolute risk)

    Pure risk, also called absolute risk, is a category of threat that is beyond human control and has only one possible outcome if ...

  • risk assessment

    Risk assessment is the identification of hazards that could negatively impact an organization's ability to conduct business.

SearchSecurity

  • security information and event management (SIEM)

    Security information and event management (SIEM) is an approach to security management that seeks to provide a holistic view of ...

  • polymorphic virus

    A polymorphic virus is a harmful, destructive or intrusive type of malware that can change or 'morph,' making it difficult to ...

  • cyberterrorism

    According to the U.S. Federal Bureau of Investigation, cyberterrorism is any 'premeditated, politically motivated attack against ...

SearchHealthIT

  • accountable care organization (ACO)

    An accountable care organization (ACO) is an association of hospitals, healthcare providers and insurers in which all parties ...

  • patient engagement

    Patient engagement is an ideal healthcare situation in which people are well-informed about -- and motivated to be involved -- in...

  • personal health record (PHR)

    A personal health record (PHR) is a collection of health-related information that is documented and maintained by the individual ...

SearchDisasterRecovery

  • business continuity and disaster recovery (BCDR)

    Business continuity and disaster recovery (BCDR) are closely related practices that describe an organization's preparation for ...

  • business continuity plan (BCP)

    A business continuity plan (BCP) is a document that consists of the critical information an organization needs to continue ...

  • call tree

    A call tree -- sometimes referred to as a phone tree -- is a telecommunications chain for notifying specific individuals of an ...

SearchStorage

SearchSolidStateStorage

  • hybrid hard disk drive (HDD)

    A hybrid hard disk drive is an electromechanical spinning hard disk that contains some amount of NAND Flash memory.

Close