Made with

Multi Layer Venn Diagram.
Venn Diagram Example

A set is one of the key concepts of mathematics. The concept of the set is usually taken as one of the axiomatic concepts, that is, it can not be reduced to other concepts, and therefore has no definition. However, you can give a description of the set, as a collection of different elements, perceived as a whole.

Venn diagram shows all the possible relationships between sets or events of a certain family.

If element X belongs to a set M that is denoted by X ∈ M, and non-membership - X ∉ M. If the sets A and B are composed of the same elements, it is said that they are equal: A = B. Otherwise, the A and B sets are not equal (is denoted by A ≠ B). The set A is called a subset of the set B (denoted A ⊆ B), if every element of the set A is contained in the set B. In this case we also may say that B comprises the A or is a superset of A (denoted by B ⊇ A). The set A is called a proper subset of B (denoted A ⊂ B), if A ⊆ B and A ≠ B, i.e. B has elements that are not contained in A.

A set containing a finite number of elements is called finite, otherwise - infinite. The number of elements of a finite set M is called its power.

The set which doesn’t contain any elements is called empty (denoted by ∅). By definition, ∅ is equal to zero. It is believed that the empty set is a subset of any set. The basic operations on sets are union, intersection, difference and addition.

Union of sets A and B (denoted by AUB) is a set of elements, each of which belongs to either A or B. Thus, a random element X ϵ АUВ if and only if either X ϵ A, and X ϵ B.

Intersection of sets A and B (denoted by A∩B) is the set consisting of all those and only those elements which belong to both set A and set B.

Difference between the sets A and B (denoted by A B) is the set of all those and only those elements of A that are not contained in B.

A logical complement of A (denoted Ā or ¬A) is the set of all those elements that do not belong to the set A.

This sample was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the Business Diagrams Solution from the Management area of ConceptDraw Solution Park.

This example shows the radially-symmetrical 5 set Venn Diagram. The Venn Diagrams visualize all possible logical relations between several sets and are widely used in mathematics, logic, statistics, marketing, sociology, philosophy, etc.

Multi Layer Venn Diagram. <br>Venn Diagram Example *

Example 1. Multi Layer Venn Diagram

Using the ready-to-use predesigned objects, samples and templates from the Business Diagrams Solution for ConceptDraw DIAGRAM you can create your own professional-looking Venn Diagrams quick and easy.

The Venn Diagrams produced with ConceptDraw DIAGRAM are vector graphic documents and are available for reviewing, modifying, and converting to a variety of formats (image, HTML, PDF file, MS PowerPoint Presentation, Adobe Flash or MS Visio).

See also Samples:


Network Security →

The Internet is a giant computer network which connects computers all over the world. It is integral part of human society and business. But the serious question for network engineers, designers, lawmakers and enforcers is the need for protect the Internet networks from the Internet crimes, hacking and attacks. There are quite a number of hardware, software and physical methods of protection against them. The samples you see on this page were created in ConceptDraw DIAGRAM using the tools of Network Security Diagrams Solution for ConceptDraw DIAGRAM software. They show protection networks with Firewalls and other network security devices.Network Security *
Picture: Network Security
Related Solution:

Venn Diagrams →

Venn Diagrams are the intuitive way to work with sets which allows to visualize all possible logical relations between several sets. They are widely used in mathematics, marketing, logic, statistics, sociology, etc. ConceptDraw DIAGRAM diagramming and vector drawing software extended with Venn Diagrams solution from "Diagrams" area offers set of useful drawing tools for easy creating the Venn Diagrams for any quantity of sets.Venn Diagrams - Internet Marketing Professions
Picture: Venn Diagrams
Related Solution:

How To Draw Building Plans →

Architectural drawing allows to show the location of a building or ensemble of buildings on the ground, indicating the cardinal points. For centuries, people had been studying architecture in universities to learn how to draw building plans and now everyone can do it easily just using appropriate software. While developing the building plan, its graphic part, you can display the part of the floor or the entire floor of a building with an indication of the exact location of the drawn premise. Small-sized apartments does not restrict the advanced interior design opportunities. Here is a detailed and precise floor plan of a pretty small apartment. A furniture objects are added to show possible interior of this home. This plan can be used to help somebody with a floor layout and furniture arrangement. Having this floor plan in a pocket while shopping would be useful to check if there is enough rooms for a new furniture.How To Draw Building Plans
Picture: How To Draw Building Plans
Related Solution:

Introductory Guide to Rapid UML Solution →

The ability to develop UML diagrams as quickly as the ideas come. The solution uses ConceptDraw RapidDraw techniques. The result is a vector graphic document.Introductory Guide to Rapid UML Solution *
Picture: Introductory Guide to Rapid UML Solution
Related Solution:

Business Productivity - Marketing →

To support you in your tasks you can use the power of ConceptDraw DIAGRAM providing intelligent vector graphics that are useful for marketing diagramming and ConceptDraw MINDMAP for key marketing mind maps.Business Productivity - Marketing *
Picture: Business Productivity - Marketing
Related Solution:

Entity Relationship Diagram - ERD - Software for Design Crows Foot ER Diagrams →

There are many ways to describe a database structure. One of the most usual is to draw an entity relationship diagram (ERD) using a Crow’s Foot notation to represent database elements. If you don’t want to draw it on paper, you should use an appropriate software. An entity-relationship (ER) diagram is used to show the structure of a business database. ERD represents data as objects (entities) that are connected with standard relationships symbols which Illustrate an association between entities. ERD, there is a wide range of ERD notations used by data bases architects for reflecting the relationships between the data entities. According to the crow’s foot notation relationships are drawn as single labeled lines designating a certain kinds of relationship. Crow foot notation is a most frequently used ERD standard, because of improved readability of diagrams, with a more accurate use of space on the page.Entity Relationship Diagram - ERD - Software for Design  <br>Crows Foot ER Diagrams *
Picture: Entity Relationship Diagram - ERD - Software for Design Crows Foot ER Diagrams
Related Solution:

The Best Flowchart Software Available →

ConceptDraw gives the ability to draw Flowchart documents. Flowcharts solutionis a powerful tool that extends ConceptDraw application for drawing business flowcharts. ConceptDraw DIAGRAM vector diagramming and business graphics software enhanced with with templates, green and interactive flowchart makers, samples and stencil libraries from ConceptDraw Solution Park which all focused to help with drawing flowcharts, block diagrams, bar charts, histograms, pie charts, divided bar diagrams, line graphs, area charts, scatter plots, circular arrows diagrams, Venn diagrams, bubble diagrams, concept maps, and others.The Best Flowchart Software Available *
Picture: The Best Flowchart Software Available
Related Solution:

Circle Diagrams →

The Circle Diagrams are the diagrams which represent the central element surrounded by other items in a circle. This type of diagram is very popular and widely used in marketing and management, for process modeling, market, resource, time and cost analysis, for visualization causes and effects. If you dream to design the Circle Diagrams quick and easy – the ConceptDraw DIAGRAM software extended with Business Diagrams Solution from the Management Area is exactly what you need.Circle Diagrams - Diagram Leadership and Data
Picture: Circle Diagrams
Related Solution: