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 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.
Example 1. Multi Layer Venn Diagram
Using the ready-to-use predesigned objects, samples and templates from the Business Diagrams Solutionn 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).
TEN RELATED HOW TO's:
Interior design is an art of planning and coordinating the space in a building or on a floor to produce a charming and convenient environment for the client. You can ask professionals for help, or you can create floor plans easily with ConceptDraw DIAGRAM , using diverse libraries or altering numerous templates. You don’t need no formal training anymore to be a designer, isn’t it great?
Using a ConceptDraw DIAGRAM floor plan software makes depicting of home or office layout ideas a simple task. It does not require special skills to make detailed and scaled floor plans. Adding furniture to design interior is also a breeze. You can draw and furnish your floor plans with a floor plan software. Moreover, using software for floor planning you gain an opportunity to share your plans and high-resolution images of your designs with clients or stakeholders.
Picture:
Create Floor Plans Easily
with ConceptDraw DIAGRAM Floor Design Software
Related Solution:
Any business process consists from a number of tasks carrying out the certain business goal. It is useful to diagram business processes to ensure that they are as foolproof, logical and sequential as possible. This business process diagram describes a typical booking process flow by the example of a cab booking process. It can be used as a roadmap for any booking system implementation. Diagramming a business process allows you to look at the entire project and take into account all types of possible scenarios. Business process diagram helps you investigate and clarify the process thoroughly so that you can find out how it can be improved. Business process diagram supports team communications by ensuring that each process element is clear and everyone in the team is on the same page.
Sometimes your company brings you less profit than you expect it to be, and it’s difficult to reveal the causes. Maybe it’s time to learn new technologies, because business diagram are easily developed by means of special software, so you won’t make any extra effort. In return, you will increase your productivity and get more done in a less time.
Picture: Business Diagram Software
Related Solutions:
A database is a data collection, structured into some conceptual model. Two most common approaches of developing data models are UML diagrams and ER-model diagrams. There are several notations of entity-relationship diagram symbols and their meaning is slightly different. Crow’s Foot notation is quite descriptive and easy to understand, meanwhile, the Chen notation is great for conceptual modeling.
An entity relationship diagrams look very simple to a flowcharts. The main difference is the symbols provided by specific ERD notations. There are several models applied in entity-relationship diagrams: conceptual, logical and physical. Creating an entity relationship diagram requires using a specific notation. There are five main components of common ERD notations: Entities, Actions, Attributes, Cardinality and Connections. The two of notations most widely used for creating ERD are Chen notation and Crow foot notation. By the way, the Crow foot notation originates from the Chen notation - it is an adapted version of the Chen notation.
Picture: ERD Symbols and Meanings
Related Solution:
A flowchart is a simple but very functional tool when it comes to understanding a workflow or to removing unnecessary stages from a process. When drawing flowcharts, keep in mind that there are four common types of flowcharts, like document flowcharts and data flowcharts that show control over a data or document flow over a system. To show controls on a physical level, use system flowcharts. In addition, to show controls in a program, you can draw a program flowchart.
This flowchart diagram represents the piece of an article editing process, that involves the author and editor. It was created using the Basic Flowchart notation that consists from the basic flowchart symbols. The start and the end of the process are indicated with "Terminator" symbols. The "Process" symbols show the action steps consisting from making edits and searching for a compromise, when the author does not agree with the suggestions of the editor. The "Process" symbol is the general symbol in process flowcharts. The "Decision" symbol indicates a branching in the process flow. There are two branches indicated by a Decision shape in the current flowchart (Yes/No, Disagree/Agree). This basic flowchart can be used as a repeating unit in the workflow diagram describing the working process of some editorial office.
Picture: Types of Flowcharts
Related Solution:
Venn diagrams are illustrations used in the branch of mathematics known as set theory.
Create your Venn diagrams for logic problem solving using the ConceptDraw DIAGRAM software
Picture:
Venn Diagram Examples for Problem Solving
Venn Diagram as a Truth Table
Related Solution:
Venn Diagrams visualize all possible logical intersections between several sets and are widely used in mathematics, logic, statistics, marketing, sociology, philosophy, etc.
Using the ConceptDraw DIAGRAM you can create your own professional looking Venn Diagrams quick and easy.
Picture: Venn Diagram Template for Word
Related Solution:
Using ConceptDraw you will be able to create bubble diagrams from the ready ConceptDraw library objects or make your own objects. The created diagram can be saved and edited, objects can be moved and links between them will be automatically repainted after object moving because of using the ConceptDraw connectors.
Picture: Bubble diagrams with ConceptDraw DIAGRAM
Related Solution: