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.
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:
NINE RELATED HOW TO's:
It is so simple making the drawing process easier and faster. you just need to choose the right drawing software.
ConceptDraw Arrows10 Technology - This is so easy and fast to draw any type of diagram with any degree of complexity.
Picture: Simple & Fast Diagram Software
The Accounting flowchart shows how information flows from source documents through the accounting records. The are based on the accounting procedures or processes.
Flowcharts are used to represent accounting information in a system. There are special symbols which are used to create accounting flowcharts. Try conceptdraw flowcharting set of symbols to draw a professional charts.
Picture: Why Flowchart Important to Accounting Information System?
Biology is incredibly interesting and useful natural science which studies all living things on the earth (people, animals, plants), structure, functions, interactions, evolution of living organisms. Biologists of the whole world use actively illustrations and drawings in your science and education activity. To facilitate their task of biology drawing, ConceptDraw DIAGRAM diagramming and vector drawing software was extended with Biology solution from the Science and Education area. Now, ConceptDraw DIAGRAM is a powerful biology drawing software.
Picture: Biology Drawing Software
When searching for a diagramming tool, we look for a powerful and reliable software that would be easy to use. To mention one, ConceptDraw DIAGRAM has all the necessary features to create cross-functional flowcharts (Swim Lanes) quick and effortlessly. You can draw swim lane diagrams in both vertical and horizontal ways.
This cross-functional flowchart displays a payroll process. It explains to each participant his role in the process depending on the category, represented with swimlanes. Using this flowchart, every employee can easily find out what he can expect in terms of salary. Generally a cross-functional diagram enables one to take a look at processes with a wider scope and with more precision than simple flowchart. Business process capturing using cross-functional flowcharts can be useful for stakeholders and managers to define clearly the staff's roles and responsibilities.
Picture: Cross-Functional Flowchart (Swim Lanes)
There are many tools to manage a process or to illustrate an algorithm or a workflow. Flowcharting is one of those tools. However, it may be difficult to show complex processes that require multiple attributes or several people in a simple flowchart, so a cross-functional flowchart would be a solution for that situation. To create such flowchart, group processes and steps to labeled rows or columns, and divide those groups with horizontal or vertical parallel lines. It is worth mentioning that there are different types of cross-functional flowcharts, like opportunity or deployment flowchart.
This diagram shows a cross-functional flowchart that was made for a trading process. It contains 14 processes, distributed through 5 lines depicting the participants who interact with the process. Also there are connectors that show the data flow of information between processes. The cross-functional flowchart displays a detailed model of the trading process, as well as all participants in the process and how they interact with each other. The lines in the flowchart indicates the position, department and role of the trading process participants.
Picture: Cross-Functional Flowchart
This sample was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the Pie Charts Solution from Graphs and Charts area of ConceptDraw Solution Park.
This sample shows the Pie Chart of the approximate air composition. You can see the percentage of oxygen, nitrogen and other gases in the air visualized on this Pie Chart.
Picture: Percentage Pie Chart. Pie Chart Examples
A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them.
The Venn diagram example below visualizes the the class of language inclusions described by the Chomsky hierarchy.
Picture: Venn Diagram Examples for Problem Solving. Computer Science. Chomsky Hierarchy
In the Venn Diagrams solution, there are the pre-made examples that can be always used for making the unique, great looking diagrams, such as the 2-set Venn ones of any needed colour, the 3-set one, the 4-set ones and the 5-set ones. Having the already previously created samples of the Venn diagrams can help any ConceptDraw DIAGRAM user make it possible to make the needed drawing within only a few minutes by editing the existing ones.
Picture: Venn Diagram Examples for Problem Solving