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:
Database structures are usually described by ER-diagrams which represents entities as boxes with lines-connections between them. You can create any entity-relationship diagram (ERD) by means of ConceptDraw DIAGRAM using ready-to-use templates and special libraries containing all the needed symbols and shapes. Creating a model for your database from now on can take just a few minutes.
ERD (entity relationship diagram) designed to show the logical structure of databases. It intended to depict the relationships between data components (entities). ERDs are a popular tool for software engineers and architects. Using ERD they can manage the every aspect of database design. Also ERD can be used as guidelines for testing and communications before software release. This diagram represents the file reference system of the WordPress web platform. Because entity relationship diagrams have such a broad application area through the prevalence of database technology, it can be applied for a wide range of users.
Picture: Entity-Relationship Diagram (ERD) with ConceptDraw DIAGRAM
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When talking about engineering, one should define all the terms used, so anybody could understand the topic. Typical network glossary contains definitions of numerous network appliances, types of networks and cable systems. The understanding of basic is crucial for server management, network administration and investigating problems.
The network glossary defines terms related to networking and communications. The most of glossary items has their visual representation in ConceptDraw DIAGRAM libraries of the Computer Network Diagrams solution. This illustration presents a local area network (LAN) diagram. It designed to show the way the interaction of network devices in a local network. The diagram uses a library containing symbols of network equipment, connections and the end-point devices such as network printer, hubs, server, modem and finally computers (PC, mac, laptop). This diagram depicts a physical LAN topology.
Picture: Network Glossary Definition
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Chemical and Process Engineering solution contains variety predesigned process flow diagram elements relating to instrumentation, containers, piping and distribution necessary for chemical engineering, and can be used to map out chemical processes or easy creating various Chemical and Process Flow Diagrams in ConceptDraw DIAGRAM.
Picture: Process Flow Diagram Symbols
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It's impossible to overestimate the usefulness and convenience of using the ready templates when you create your own diagrams and charts. ConceptDraw DIAGRAM software presents the Business Diagrams solution which offers a set of Venn Diagram templates and samples.
Picture: Venn Diagram Template
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Football diagram is the simplest way to explain American Football details. Plenty offenses and defenses may startle a newbie. Using visual method to explain the meaning of each formation, play or strategy gives a clear understanding. ConceptDraw DIAGRAM software extended with the Football solution is an amazing tool for producing and presenting football diagrams.
Picture: Dime Defense Diagram
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Local area network connects computers and other network appliances within an area, such as office building or a campus. It can be difficult to provide such network without a predesigned plan. For these purposes you can use network diagram software, which helps you to create LAN network diagrams and office network diagrams quickly and effortless. This will speed up your work and you can save the diagram for the future network improvements.
The following diagram illustrates a network topology of the small office. LAN configuration has a star topology. The local network joins 8 computers among which are several desktop PCs, laptop, two iMacs and iBook. The end-point devices are divided into three groups. Each group is connected to its hub. There is a network printer and a modem, which are interconnected with other devices through a network server. Each computer on the LAN can access the server through a corresponding hub.
Picture: Network Diagram Software. LAN Network Diagrams. Physical Office Network Diagrams
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When you need to visually represent the structure of relational database, Entity relationship diagram (ERD) is a type of diagram for that case.
Most entity-relationship diagrams can be built with objects from Flowchart solution or ERD Solution which contains inbuilt templates. Follow these steps to create your own custom ERD diagram.
Don't be frightened if it looks complex, ConceptDraw DIAGRAM makes it easy to create an ERD, and hundreds of other diagrams, in minutes.
Picture: Developing Entity Relationship Diagrams
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It doesn’t matter what kind of business you have, a bar or a gym, there are common concepts for any of them. One of those concepts is accounting, and to facilitate the work with the figures, you can use accounting flowchart symbols and create a clear and representative scheme. You can create flowchart for auditing, tax accounting and even for planning your own budget.
A graphical tool for displaying successive processes is flowchart. This method is mostly suited to represent an accounting process. The sequence of steps in the accounting process usually consists of standard accounting procedures, that can be depicted by using a minimal number of symbols, applied for the basic flowcharting. The advanced opportunity to create professional Accounting Flow charts is provided by ConceptDraw Accounting Flowcharts solution. It includes contains a library of accounting flowchart symbols used when drawing the accounting process flow.
Picture: Accounting Flowchart Symbols
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While developing software, it is very important to have a visual model, because it helps to represent the logic and the architecture of an application. Experienced engineers use UML diagrams to denote relationships between classes and their instances. UML is a general language for a set of diagrams like deployment diagrams, object diagrams or use case diagrams.
This diagram represents UML class diagram used for a software system development using an object-oriented method. Class diagrams are categorized as static structure diagrams that depict the physical structure of a system. Class diagram divides a software system's structure into "classes". Classes are defined by the methods and variables of objects. UML Class diagram is used to depict relationships and source code dependencies between objects.
Picture: UML Diagram
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UML Composite Structure Diagram shows the internal structure of a class and the possible interactions at this structure.
ConceptDraw has 393 vector stencils in the 13 libraries that helps you to start using software for designing your own UML Diagrams. You can use the appropriate stencils of UML notation from UML Composite Structure library.
Picture: UML Composite Structure Diagram. Design Elements
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