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Venn Diagram Examples for Problem Solving

Sometimes the problems cannot be solved as easily as we want them to be, so for making it easier to understand them in order to simplify the tasks, it is better to create a diagram. In this way, with the help of a drawing, it can become clear what to focus on as well as what aspects to pay more attention to.

Having the examples of the problem-solving process in a way of a Venn diagram may lead to making it possible to create the needed scheme of what should be done as well as what work should be finished first within some project or an organization as a whole.

Any Venn diagram can also be called as a primary one. The other names for it are logic diagram, set diagram, etc. It is simply one of the so many types of the diagrams that are used for showing all the possible logical relations between some finite collection of a few or a lot of the different sets.

Venn Diagram Problem Solving Example

Example 1. Venn Diagram Problem Solving

The mentioned type of diagrams can be also used for depicting different elements in a way of the points in the plane as well as the sets in a way of the regions that can be found inside some closed curves. Any Venn diagram created with the help of the ConceptDraw PRO diagramming and drawing software may consist a lot of the overlapping closed curves such as circles, each of which is known for representing some set.

The mentioned points inside each of the curves are labelled with a letter “S” representing the elements of the set S in this way. At the same time, the points that can be found outside the boundary, are those which represent the elements which cannot be found in the “S” set.

In this way, the set of all the existing elements (which are known to be members of both sets S and T) can be represented in a visual way by the area of the overlap of the “T” and “S” regions.

In Venn diagrams the curves are usually overlapped in the way its creator wants them to be, showing all the possible relations in between the previously described sets. The mentioned “Venn diagrams” were conceived by John Venn in about 1880.

Since then, they are used for teaching the so-called “elementary set theory”. Besides, they can be also used for illustrating some simple set relationships in either logic, statistics, probability, linguistics or computer science, or both.

Any Venn diagram in which the area of each of its shapes seems to be proportional to the number of all the elements that it contains, is known to be called as a “scaled” or an “area-proportional” Venn diagram that is being constructed with the simple closed curves drawn in a plane.

The principle of all the Venn diagrams is that the sets (also known as “classes”) can be represented by regions in a special relation to one another. Due to such relation, all the possible logical relations of the mentioned classes can be indicated in the very same diagram showing the connections to each other.

In this way, the diagram leaves enough room for any possible relation of the classes to illustrate, and the given (or “actual”) relation can be after specified by indicating that some region is either not-null or null.

Venn Diagram Problem Solving Example

Example 2. Venn Diagram Problem Solving

Venn diagrams usually are those that comprise the overlapping circles and the interior of such circles can symbolically represent all the elements that the set includes. At the same time, the exterior is known to be representing those elements that are not members of the set and so they are not connected with it at all.

After being introduced by John Venn in 1880, the Venn diagrams were further developed in the 20th century. Thus, in 1963 D. W. Henderson showed that the existence of an n-Venn diagram that has n-fold rotational symmetry implied that n was a key number, called as “prime”. It was also showed that all symmetric Venn diagrams exist when n is either 7 or 5.

Venn diagrams are known to be similar to Euler diagrams, but still the first ones are more commonly used and many of those who made them know, that each of such diagrams for n component sets has to contain all 2n possible zones that are known to be corresponding to some combination of either exclusion or inclusion in each of the existing component sets.

It is also widely known that, to compare to the Venn diagrams, the Euler ones contain only the actually possible zones in some given context, but both Euler diagrams as well as Venn diagrams were incorporated as part of instruction in a so-called “set theory” in the 1960s as part of the new math movement. Since then, they have also been adopted in the curriculum of many other fields and nowadays they can be used for most of the needed problem-solving processes as long as there is enough information to add to them.

Venn Diagram Problem Solving Example - BQP Complexity

Example 3. Venn Diagram Problem Solving — BQP Complexity. The suspected relationship of BQP to other problem spaces.

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 PRO user make it possible to make the needed drawing within only a few minutes by editing the existing ones.

Taking this opportunity of using the already previously design diagrams, such as the Venn ones from the Venn diagrams solution, can simplify your work of the drawings and save your time. One of the examples, that is available for all the ConceptDraw PRO users is the “Venn Diagram — Internet Marketing Professions”. Next, the “Venn Diagram — Path to Sustainable Development” is another template of the Venn diagram created by using three circles where such notes as “Environmental”, “Social” and “Economic” are used.

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Venn Diagram Examples for Problem Solving. Computer Science. Chomsky Hierarchy

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.Venn Diagram Problem Solving Example - Chomsky Hierarchy
Picture: Venn Diagram Examples for Problem Solving. Computer Science. Chomsky Hierarchy
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Simple Flow Chart

ConceptDraw PRO diagramming and vector drawing software extended with Flowcharts Solution from the 'What is a Diagram' area of ConceptDraw Solution Park is a powerful tool for drawing Flow Charts of any complexity you need. Irrespective of whether you want to draw a Simple Flow Chart or large complex Flow Diagram, you estimate to do it without efforts thanks to the extensive drawing tools of Flowcharts solution, there are professional flowchart symbols and basic flowchart symbols. This sample shows the Gravitational Search Algorithm (GSA) that is the optimization algorithm.Simple Flow Chart, flowchart symbols, process flow diagram
Picture: Simple Flow Chart
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Venn Diagram Examples for Problem Solving. Environmental Social Science. Human Sustainability Confluence

The Venn diagram example below shows sustainable development at the confluence of three constituent parts. Create your Venn diagrams for problem solving in environmental social science using the ConceptDraw PRO diagramming and vector drawing software extended with the Venn Diagrams solution from the area "What is a Diagram" of ConceptDraw Solution Park.venn diagram problem solving example - human sustainability confluence
Picture: Venn Diagram Examples for Problem Solving. Environmental Social Science. Human Sustainability Confluence
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Software development with ConceptDraw PRO

When we think about programming, we usually imagine sleepless nights spent on writing kilobytes of code. However, from another point of view, Software development with ConceptDraw PRO makes a programmer's life endlessly easier. This tool is unique to fulfill all your needs in short period of time. Over the recent years object-oriented methodology has become more and more widespread. Thanks to this methodology developers manage to deal with growing complexity of applications. More and more programs are written in such programming languages as C++, Java, Visual Basic and Object Pascal. However, the complexity of the designed systems imposes extended requirements as to design of graphic documentation. ConceptDraw possesses powerful tools for designing of technical documentation for object-oriented projects. The libraries included in the package allow to easily draw class hierarchies, object hierarchies and diagrams of data flows with the use of the most popular notations, including UML and Booch notations. And the library for projecting COM-interfaces will spare developers of ActiveX-servers a headache.ERD example - Students and teachers database layout
Picture: Software development with ConceptDraw PRO

Process Flowchart

When trying to figure out the nature of the problems occurring within a project, there are many ways to develop such understanding. One of the most common ways to document processes for further improvement is to draw a process flowchart, which depicts the activities of the process arranged in sequential order — this is business process management. ConceptDraw PRO is business process mapping software with impressive range of productivity features for business process management and classic project management. This business process management software is helpful for many purposes from different payment processes, or manufacturing processes to chemical processes. Business process mapping flowcharts helps clarify the actual workflow of different people engaged in the same process. This samples were made with ConceptDraw PRO — business process mapping software for flowcharting and used as classic visio alternative because its briefly named "visio for mac" and for windows, this sort of software named the business process management tools. This flowchart diagram shows a process flow of project management. The diagram that is presented here depicts the project life cycle that is basic for the most of project management methods. Breaking a project into phases allows to track it in the proper manner. Through separation on phases, the total workflow of a project is divided into some foreseeable components, thus making it easier to follow the project status. A project life cycle commonly includes: initiation, definition, design, development and implementation phases. Distinguished method to show parallel and interdependent processes, as well as project life cycle relationships. A flowchart diagram is often used as visual guide to project. For instance, it used by marketing project management software for visualizing stages of marketing activities or as project management workflow tools. Created with ConceptDraw PRO — business process mapping software which is flowcharting visio alternative or shortly its visio for mac, this sort of software platform often named the business process management process flowcharts, flowchart symbols, process flow diagram, workflow diagram, flowchart maker
Picture: Process Flowchart
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UML Diagram

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.UML Diagrams
Picture: UML Diagram
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How to Draw an Organization Chart

If your company is in chaos in clutter and no one understands their rights and responsibilities, maybe it's time to change that. One of the ways to put the company in order is to draw an organization chart that would reflect the structure and show the relationships among departments and positions. This is a very useful and easy to understand scheme. This is example of the one of the most typical kind of organizational chart. It depicts an organizational structure of the hierarchical type. Its construction is similarv to pyramid. The single main position on the top - in this case, the mayor's position followed by sub-levels of authority in his command. Each position in the pyramid reports only to his supervisor, and takes only a report of direct subordinates. Such scheme limits the number of communications. This organizational structure is effectively used in public organizations. Also it is suitable for any organization with the need for multiple levels of middle managers. The ability to create organizational charts of different types is supplied with ConceptDraw Ogrcharts solutions.Organization Chart County Administrator Office
Picture: How to Draw an Organization Chart
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Cisco LAN. Cisco icons, shapes, stencils and symbols

The ConceptDraw vector stencils library Cisco LAN contains symbols for drawing the computer local area network diagrams.Cisco Network Diagram. Design Elements - Cisco LAN (Win Mac)
Picture: Cisco LAN. Cisco icons, shapes, stencils and symbols
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Venn Diagram Examples for Problem Solving.Venn Diagram as a Truth Table

Venn diagrams are illustrations used in the branch of mathematics known as set theory. They show the mathematical or logical relationship between different groups of things (sets). A Venn diagram shows all the possible logical relations between the sets.Venn Diagram Problem Solving Example 3 sets
Picture: Venn Diagram Examples for Problem Solving.Venn Diagram as a Truth Table
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Emergency Plan

Unfortunately, a man can’t predict the future and no one is safe from natural disasters, such as floods, earthquakes, hurricanes or fires. Nonetheless, what you can do to ensure safety for you and your relatives is to create an emergency plan, so everyone will know what to do if emergency happens. Keep that plan simple and train it several times a year so that no one could forget any details of it. Fire and emergency plans are important to supply people with a visual safety solution. This diagram presents a set of standard symbols used to depict fire safety, emergency, and associated information. Using clear and standard symbols on fire emergency plans provides the coherence of collective actions , helps to avoid embarrassment, and improves communications in an emergent situation. The fire emergency symbols are intended for the general emergency and fire service, as well as for building plans ,engineering drawings and insurance diagrams. They can be used during fire extinguishing and evacuation operations, as well as trainings. It includes vector symbols for emergency management mapping, emergency evacuation diagrams and plans.Emergency Plan
Picture: Emergency Plan
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