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# Venn diagram

A Venn diagram is also called a set diagram or a logic diagram showing different set operations such as the intersection of sets, union of sets and difference of sets. It is also used to depict subsets of a set. For example, a set of natural numbers is a subset of whole numbers, which is a subset of integers Venn diagrams are ideal for illustrating the similarities and differences between several different groups or concepts. Overview of Venn diagrams. A Venn diagram uses overlapping circles to illustrate the similarities, differences, and relationships between concepts, ideas, categories, or groups

### Venn Diagram of Sets - Definition, Union & Intersection

Venn Diagram Fill: Colored No fill, lines only : Disclaimer This tool is provide free to use for all. We made every attempt to ensure the accuracy and reliability of the results provided through this webservice. However, the information is provided as is without responsibility or liability of any kind. We don't claim ownership and/or. Venn Diagram Examples Meta Venn Diagram. This one is a bit tongue-in-cheek, but demonstrates how the Venn Diagram can be used to show a more qualitative association between of overlapping concepts. It's true, not all circles are diagrams and not all diagrams involve circles, but Venn Diagrams exist at the intersection of these things. Sets. A Venn diagram is a visual depiction of the similarities and differences between two or more different items. It consists of a series of shapes - usually circles - whose edges overlap. While it's not required that you use a circle, it's probably the most convenient shape because several circles can overlap easily Venn diagram maker features. Canva's Venn diagram maker is the easiest way to make a Venn diagram online. Start by choosing a template - we've got hundreds of Venn diagram examples to choose from. With a suite of easy to use design tools, you have complete control over the way it looks. Plus, being fully online, Canva makes it easy for.

A Venn diagram is a representation of how groups relate to one another. The groups are generally called sets. Venn diagrams usually consist of two to three circles that overlap, but there can be more shapes in a diagram based on the number of sets. Also, anyone making such a diagram can use different shapes Venn Diagram: A Venn's diagram may be a commonly used diagram vogue that shows the relation between sets.Venn Diagrams area unit introduced by English logician John Venn $$\left( {1834 - 1883} \right).$$The Venn Diagrams area unit accustomed teach pure elementary mathematics, and as an instance, easy set relationship in chance, logic, statistics, linguistics, and engineering Venn's diagrams drawing tool for comparing up to four lists of elements. Venny 2.1 By Juan Carlos Oliveros BioinfoGP, CNB-CSIC: 1. Paste up to four lists. One element per row , 2. Click the numbers to see the results, 3. Right-click the figure to view and save i

What is a Venn Diagram?. The term Venn diagram is not foreign since we all have had Mathematics, especially Probability and Algebra. Now, for a layman, the Venn diagram is a pictorial exhibition of all possible real relations between a collection of varying sets of items. It is made up of several overlapping circles or oval shapes, with each representing a single set or item Venn Diagrams. Venn diagrams are used to visually represent the differences and the similarities between two concepts. Venn diagrams are also called logic or set diagrams and are widely used in set theory, logic, mathematics, businesses, teaching, computer science, and statistics Venn diagrams are an excellent way to visualize and analyze relationships between different groups (sets). In a typical Venn diagram, 2 or more sets (each containing various elements) are represented as circles overlayed onto each other. The elements shared between the various sets are represented at the respective circle intersections Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Venn Diagrams - An Introdu..

Venn diagram generator. Create beautiful venn diagrams using this tool and download as image (png or jpg). Select number of sets and update the venn diagram parameters, then preview venn diagram in the tool and download Venn diagrams are used to depict how items relate to each other against an overall backdrop, universe, data set, or environment. A Venn diagram could be used, for example, to compare two companies. ### Create a Venn diagram - Office Suppor

1. Venn Diagrams. A Venn diagram is a diagrammatic representation of ALL the possible relationships between different sets of a finite number of elements.Venn diagrams were conceived around 1880 by John Venn, an English logician, and philosopher
2. A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different. Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic.
3. Venndiagram är illustrationer som används i mängdlära för att visa på det matematiska eller logiska sambandet mellan klasser eller mängder.   Vanligen, men inte nödvändigtvis, består ett venndiagram av två eller tre överlappande cirklar och hanterar tre respektive sju möjliga kombinationer.Venndiagram har på grund av sin pedagogiska tydlighet använts i introduktionskurser.
4. Using a Venn Diagram, students identify similarities and differences between two things by listing certain features in a chart containing overlapping circles..
5. imal effort and time. Advanced features to easily visualize and organize data on Venn diagrams. Many styling options to get them ready for presentations instantly. Intuitive drag and drop interface with context toolbar for easy drawing. 100s of expertly-designed venn diagram examples and templates

### Draw Venn Diagram - Universiteit Gen

1. The Venn diagram has emerged as a useful and versatile learning tool in education. Originally used as a way to show the differences and similarities between scientific or logical concepts, it has expanded to other subjects. It's not uncommon to find it used for subjects such as history, English, economics, and math
2. Download Venn Diagrams for free. Venn diagrams are an interesting method for rendering triadic relations on a two dimensional drawing surface. Certain marks (or annotations) indicate the existence of variables or constants in the distinguishable regions
3. Click OK. You should now see a Venn diagram in your document. Click [Text] in each circle to enter your own details. This fills in the major categories of the diagram. Draw a text box where you want to enter an overlapping value. To enter text box mode, click the Insert menu, select Text Box, then Draw Text Box
4. The complete Venn diagram represents the union of A and B, or A ∪ B. Feel free to click on the image to try this diagram as a template. Union of Two Sets Venn Diagram (Click on image to modify online) What would the union of two sets look like in the real world? Set A could represent a group of people who play the piano
5. Venn diagram, also known as Euler-Venn diagram is a simple representation of sets by diagrams. The usual depiction makes use of a rectangle as the universal set and circles for the sets under consideration. In CAT and other MBA entrance exams, questions asked from this topic involve 2 or 3 variable only. Therefore, in this article we are going.

### Venn Diagram - Definition, Examples, and Resource

• Venn diagram definition is - a graph that employs closed curves and especially circles to represent logical relations between and operations on sets and the terms of propositions by the inclusion, exclusion, or intersection of the curves
• A Venn Diagram is clever because it shows lots of information: Do you see that alex, casey, drew and hunter are in the Soccer set? And that casey, drew and jade are in the Tennis set? And here is the clever thing: casey and drew are in BOTH sets! All that in one small diagram
• What is a Venn Diagram? A venn diagram is the easiest way to express the relationship between sets. Based on the variety of questions that are asked in various competitive exams, we have classified these logical Venn diagrams into following categories, which are given below
• Customize Your Venn Diagram in Every Aspect. Edraw Max allows you to customize the color, fonts, and background to satisfy your needs. Plus, a designer-approved color palette is perfect for making the diagram stylish. Changing the background or inserting images is another way to personalize your Venn diagram
• Venn Diagram, also called Primary Diagram, Logic Diagram or Set Diagram, is widely used in mathematics, statistics, logic, computer science and business analysis for representing the logical relationships between two or more sets of data. A Venn Diagram involves overlapping circles, which present how things are being organized, their.
• Venn Diagram: Venn Diagram can also be referred as primary diagram, set diagram or logic diagram. It is an efficient way of representing the relationship between and among sets/group of objects that have something in common. In simple, its used to graphically organize the set of items and show the similarities and difference between them

InteractiVenn is an interactive visualization tool for analyzing lists of elements using Venn diagrams. The web tool supports up to six different sets. Moreover, union operations between sets can be made. The union operations are reflected to the Venn diagram. Other interactions are also available, such as color changing and export diagram in SVG and PNG format Venndiagram är illustrationer som används i mängdlära för att visa på det matematiska eller logiska sambandet mellan klasser eller mängder.   Vanligen, men inte nödvändigtvis, består ett venndiagram av två eller tre överlappande cirklar och hanterar tre respektive sju möjliga kombinationer.Venndiagram har på grund av sin pedagogiska tydlighet använts i introduktionskurser. Venn Diagram 01. Edit this example. Venn Diagram 02. Edit this example. Venn Diagram 03. Edit this example. Venn Diagram 04. Edit this example. Venn Diagram 05

### Venn Diagram - How to Make a Venn Diagram, See Examples, Mor

• Click any of the zones in the diagram (including this one!) to edit them. You can also add background images behind each circle. When you are finished, you can save your diagram and embed it on your own site
• a Venn diagram, which shows all possible logical relations between data sets.If you have tried to understand how joins work and constantly get confused which join to use, you just need to use a new simple app - SQL Joins Visualizer. It's using Venn diagram to build a valid SQL join with an explanation
• Our awesome collection of Venn diagram templates help in illustrating amazing Venn diagram concepts. These diagrams make use of circular shapes in various colors which appeal visually to any audience and can easily represent the size, value and relationship between different sets of information. This is an extremely important tool in logical analysis of business and scientific concepts
• Venn diagram definition is - a graph that employs closed curves and especially circles to represent logical relations between and operations on sets and the terms of propositions by the inclusion, exclusion, or intersection of the curves
• Number giving the clockwise rotation of a three-set Venn diagram (1, 2, or 3) reverse. 3. logical. Reflect the three-set Venn diagram along its central vertical axis of symmetry. Use in combination with rotation to generate all possible set orders. euler.d
• Venn Diagram Worksheets. An extensive collection of Venn diagram worksheets provided here will help students of grade 2 through high school to use their analytical skills and study all possible logical relations between a finite collection of sets. A number of interesting cut and paste and surveying activity worksheets are up for grabs

Venn diagram worksheets are a great tool for testing the knowledge of students regarding set theories and it's concepts like union, intersection, etc. Questions can be asked on the basis of blank Venn diagrams provided and vice versa use is also possible. However, making such a worksheet is a tedious task Venn diagrams are used to compare sets of elements. Though most of their contribution is in the field of set theory, it can also be a fun activity for children. New concepts can be understood by children easily with the help of free Venn diagram. Download our Blank Venn diagram templates and print them for immediate use Figure 3: Triple Venn Diagram. Note that the VennDiagram package provides further functions for more complex venn diagrams with multiple sets, i.e. draw.quad.venn, draw.quintuple.venn, or the more general function venn.diagram, which is taking a list and creates a TIFF-file in publication-quality.. However, for simplicity we'll stick to the triple venn diagram in the remaining examples of. The 2 Circle Venn Diagram is widely used in mathematics, logic, statistics, marketing, sociology, etc. to visualize data in a straightforward and visual manner. The Venn diagram template provided above is also one of the most often used templates among Venn diagram creators

### Free Venn Diagram Maker by Canv

Venn diagrams are real life applications across the difference between a qlucore on the work because they claimed that something is a citation. Watch for real life application of the archive of education open textbook, we show the term we get made. Venn diagram can be read easily lead to probabilities for team, so the students brainstorm and. A Venn diagram is a way of grouping different items. These groups are known as sets. We have a set of golf clubs or a set of dishes - these are just groups of those items. We write a set using a. This article provides multiple solutions to create an elegant Venn diagram with R or RStudio. The following R packages will be illustrated: ggvenn, ggVenDiagram, VennDiagram and the gplots packages. Contents: Create a demo data Using the ggvenn R package Using the ggVennDiagram R package Using the VennDiagram R package Using the gplots R package Conclusion [ A Venn diagram is a diagram or illustration of the relationships between and among sets (different groups of objects). It is a pictorial representation of logical or mathematical sets that are drawn in an enclosing rectangle (rectangle representing the universal set) as circles

Click on the Venn Diagram template library on the right side of the screen and choose the template that you want! 3. Style your Venn diagram. Give your Venn diagram a personal touch by adding custom colors and styles. You can edit Venn Diagram elements just like ordinary shapes, changing the colors, border style, border thickness, and. Venn Diagram Graphic Organizer . Author: tgardner Created Date: 6/1/2004 9:33:49 P Venn diagram synonyms, Venn diagram pronunciation, Venn diagram translation, English dictionary definition of Venn diagram. Venn diagram top: Sets A and B intersect to form set C. bottom: Set B is a subset of set A. All members of B are also members of A. n. A diagram using.. A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets. In R, the VennDiagram package is the best option to build one. Note that with more than 3 sets, it is better to switch to an upsetChart, as described below

The 7-fold rosette at the top of the page is a Venn diagram for n = 7, called Victoria. Find out more about it by going to the page on symmetric Venn diagrams for small n.. There are some Venn diagrams on the pages to follow that have not appeared before in the literature, in particular, most of the symmetric Venn diagrams for n=7.. All the Venn diagram figures to be found on the following. Overview. This interactive tool allows students to create Venn diagrams that contain two or three overlapping circles. Students identify and record concepts that can be placed in one of the circles or in the overlapping areas, allowing them to organize their information logically. Students may view and edit their draft diagrams, then print the.

### What Is a Venn Diagram and What Is It Used For? Indeed

Step4: visualize Venn diagram. Le t us start to draw a Venn Diagram with 2 groups. There are 3 main methods to make a Venn diagram with the matplotlib library, leading to the same result. Method 1 is the most straightforward one. Put two datasets directly. #Method1: put two datasets directly The Data Science Venn Diagram. On Monday I—humbly—joined a group of NYC's most sophisticated thinkers on all things data for a half-day unconference to help O'Reily organize their upcoming Strata conference. The break out sessions were fantastic, and the number of people in each allowed for outstanding, expert driven, discussions

A = 2B- 10 or 2 (30)- 10. 60- 10 is 50, and that's our answer. In summary, Venn Diagrams can be helpful in problems with two overlapping sets. The problem may give a Venn Diagram, but if it doesn't, one is often helpful for solving this kind of question. It's good to sketch it on the scrap paper A Venn diagram also termed as a set diagram, primary diagram, or logic diagram is a diagram that presents all reasonable, logical relations between a limited number of various sets. A circle describes each set Battle of the Data Science Venn Diagrams. First came Drew Conway's data science Venn diagram. Then came all the rest. Read this comparative overview of data science Venn diagrams for both the insight into the profession and the humor that comes along for free. By David Taylor, Biotechnologist Venn diagrams are illustrations that show all kind of the possible mathematical or logical relationships between sets (groups of things).. The tool perfect Venn diagram generator at Wikimedia Toolforge can be used to generate Venn diagrams with two circles which are to-scale (the size of the circles, their intersection, and the area outside the circles is proportional to the size of the groups.

Reasoning and General Intelligence - Venn Diagrams. Venn diagrams are pictorial way of represent the set of article There, are different reverent regions which needs proper understanding for solving problems based on given Venn diagrams Venn diagram definition, a diagram that uses circles to represent sets and their relationships. See more Title: venn.pdf Created Date: 20030715123137 Venn diagrams and the addition rule. Probability with Venn diagrams. This is the currently selected item. Addition rule for probability. Addition rule for probability (basic) Practice: Two-way tables, Venn diagrams, and probability. Next lesson. Multiplication rule for probabilities Venn Diagram. 10-28-2016 07:55 AM. Venn diagrams show overlapping regions based on values within sets. The R visualization code provided in this Power BI desktop file will take a dynamic set of columns (based on the values you add in the fields pane), perform the overlap analysis, and display the diagram. This code will work with up to 5 columns

Funny Venn Diagrams. 119 likes. This is a page for people who like Venn Diagrams. And love the humor people create with them Venn Diagram by Elijah Minnelli, released 21 September 2020 1. Venn Diagram 2. DUB Venn Diagram is the third in a trilogy of 7-inches from Breadminster County Council's Elijah Minnelli, whose production style has made its home in the intersection between UK Bass, Dub, Cumbia and Eastern European musical traditions. The track follows on from the musical president set by Elijah's previous. John Venn, a famous logician gave the concept of diagrams in 1918, this is why the diagrams are named Venn diagrams. There are several benefits of Venn Diagrams, Venn diagram is used for the classification of data belonging to the same category but different sub-categories. The comparison of the different data becomes easier through the Venn. Venn Diagram. In mathematics, the Venn diagram is a diagram that represents the relationship between two or more sets. It was suggested by John Venn. He represented the relationship between different groups of things in the pictorial form that is known as a Venn diagram.. In this section, we will learn that what is the Venn diagram, its types, purpose, uses, representation of it with proper. A Venn diagram (aka Euler diagram) is a method of visualizing the amount of overlap between two (or three) lists of data, using circles to signify the size of each circle and positioning the circles such that the area of overlap represents the amount of list overlap. The program includes a graphical user interface (GUI) where the user enters.

### Venn Diagram in Math: Formula for Venn Diagram, Example

June 28, 2011 Objectives: Recognize and develop a Venn Diagram. Relate a Venn Diagram to real world examples. Summarize the history of the Venn Diagram. Homew Venn diagrams are useful if you want to show correlation between items or concepts. It's like overlapping the elements that are related to each other. Our designs use mostly circles, but there are others who look like radial charts, others with gradient bubbles or others with arrows. The main styles are flat and doodle-like will you please send more venn diagrams. #2 Kjell Magne Fauske, November 6, 2008 at 4:23 p.m. There are currently no venn diagram-related examples in the pipeline. Drawing venn diagrams usually requires clipping. You may find some useful tricks in the examples tagged clipping #3 Kjell Magne Fauske, May 7, 2009 at 5:51 p.m

Insert a Venn Diagram. Open PowerPoint and navigate to the Insert tab. Here, click SmartArt in the Illustrations group. The Choose A SmartArt Graphic window will appear. In the left-hand pane, select Relationship.. Next, choose Basic Venn from the group of options that appear I hadn't seen Karnaugh Maps before (which are very cool), but I think the Venn diagrams are a lot more than just cartoons - they're a much easier to read version of that idea, and relate more to the philosophical logic than computer science A Venn diagram is a visual tool used to compare and contrast two or more objects, events, people, or concepts. It is often used in language arts and math classes to organize differences and similarities A CSS Venn Diagram December 3, 2018; 6 Comments. A few years ago I made a Venn diagram using floats and absolute positioning.It was fine. Nothing to really brag about, but it got the point across. I had use for CSS shapes in a project and wanted to play around beyond what the project itself allowed

Simply venn diagram means that the diagrammatic representation of sets. The three circle venn diagrams are helps to represent the relations of 3 objects. A Venn diagram, invented by John Venn, is a collection of closed curves drawn, usually, inside a rectangle. John Venn is a British mathematician, who also A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. You may see things in new ways and be able to make observations, choices, arguments or decisions. Often, they serve to graphically organize information, highlighting how the items are similar and different Set Operations and Venn Diagrams. Sets are treated as mathematical objects. Similarly to numbers, we can perform certain mathematical operations on sets. Below we consider the principal operations involving the intersection, union, difference, symmetric difference, and the complement of sets. To visualize set operations, we will use Venn diagrams

### Venny 2.1.

• ator between events. Venn diagrams are used in various fields like Psychology, Social Studies, and more. Creating a Venn diagram is easy, but can be a tedious task
• Sets and Venn Diagrams Set: A set is well defined class or collection of objects. Venn-Euler diagrams The combination of rectangles and circles are called Venn-Euler diagrams or simply Venn-diagrams. If A and B are not equal but they have some common elements, then to represent A and B we draw two intersecting circles. Two [
• Venn Diagram generator. Paste in two or three lists, and this utility will tell you what they have in common, and will draw a little Venn diagram illustrating the intersections of the lists. If you have four lists, use the 4-way venn diagram generator . List Name 1. List Name 2. List Name 3. List 1
• Vector of length 2 indicating (x,y) of the rotation centre. Number giving the clockwise rotation of a three-set Venn diagram (1, 2, or 3) Reflect the three-set Venn diagram along its central vertical axis of symmetry. Use in combination with rotation to generate all possible set orders
• A Venn diagram is a form of data visualization that uses shapes, generally circles, to show the relationships among groups of things. In this chart type, overlapping areas show commonalities while circles that do not overlap show the traits that are not shared. Introduced by John Venn, an English mathematician, logician, and philosopher, Venn diagrams are also called set diagrams or logic.

### What is A Venn Diagram with Examples EdrawMax Onlin

A member of or an object in a set. set. A set is a collection of things, without regard to their order. Venn Diagram. A diagram where sets are represented as simple geometric figures, with overlapping and similarity of sets represented by intersections and unions of the figures Venn Diagrams. With this tool you can calculate the intersection (s) of list of elements. It will generate a textual output indicating which elements are in each intersection or are unique to a certain list. If the number of lists is lower than 6 it will also produce a graphical output in the form of a venn diagram Venn Diagram are a great visualization tool that you can use to help to describe relationships between three sets or groups or to create intuitive graphics for your presentations in which you want to make correlations between different groups or describe the different intersections between two of these groups or the three groups Printables, Blank Venn Diagrams, Venn Diagram Templates, Venn Diagram Worksheets: Make a Custom Venn Diagram Make a Venn Diagram: Blank Venn Diagram Templates Venn diagram 2 parts: Venn diagram 3 parts: sort into 2 groups: sort into 3 groups: sort into 4 groups: Compare and Contrast Compare and Contrast: Cause and Effect. Edraw Max is a great Venn diagram software with a lot of ready-made and free Venn diagram templates which makes it easy for anyone to create professional Venn diagrams. In addition, Edraw Max can also convert all these templates into PowerPoint, PDF or Word files. Download and Try our Free Venn Diagram Templates in Edraw Ma ### Venn Diagram - Definition, Symbols, Types, Example

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products. Click the various regions of the Venn diagram to shade or unshade them. When the show set notation checkbox is clicked, one or several different expressions for the shaded region are displayed Venn diagrams with complements, unions and intersections. Sets are represented in a Venn diagram by circles drawn inside a rectangle representing the universal set. The region outside the circle represents the complement of the set. The overlapping region of two circles represents the intersection of the two sets Venn Diagrams Quiz. Try the MME Venn Diagrams quiz. 1 / 4. Sets A A A and B B B are displayed in the Venn diagram below. There are 8 0 80 8 0 items in the universal set ξ \xi ξ. Find the value of x x x. x = 9 x = 9 x = 9. x = 6 x = 6 x = 6. x = 8 x = 8 x = 8 ### Venn Diagram

8. Diagram Venn of Yoda It Is. Artist Stephen Wildish has built his reputation on clever and pun-filled graphs, visualizations, and minimalist representations of pop culture. In his Diagram Venn. This Venn diagram has three main categories. Top circle: This actor has been in a movie in the Marvel Cinematic Universe. Bottom left circle: This actor has won an acting Academy Award 2.3 ­ Venn Diagrams and Set Operations ­ 2nd hour started.notebook 4 September 04, 2015 KEY CONCEPTS The compliment of set A, symbolized by A', is the set of all the elements in th

### Venn diagram generator - create venn diagrams easily and

John Venn was a logician and philosopher best known for introducing the Venn diagram. In the diagram, circles are used to visually and logically sort groups to illustrate their relationships to. Venn Diagram Templates Sometimes you just have to return to the basics. Do so with one of PicMonkey's venn diagram templates, the OG tool for comparing and contrasting

### Venn Diagram Definition - investopedia

• A Venn Diagram can become increasingly complex and become an infographic and the set up of the information; this is why a template like the 5 Hexagon Venn Diagram for PowerPoint is an excellent choice if you need to present a large number of interactions
• Weighted Venn diagrams have the same topology as unweighted ones, but (attempt to) make the area of each region proportional to the weights. This may not be possible, if any of the weights are zero for example, or because of the geometric constraints of the diagram. Venn diagrams based on 3 circles are unable i
• Making the diagram interactive. Making the diagram interactive is basically the same idea as changing the style: just add event listeners to the elements in the venn diagram. To change the text size and circle colours on mouseover
• Venn Diagram. A Venn diagram is a picture that represents the outcomes of an experiment. It generally consists of a box that represents the sample space S together with circles or ovals. The circles or ovals represent events
• Vennův diagram (nazývaný také Eulerův-Vennův diagram) je schematické znázornění všech možných vztahů (sjednocení, průnik, rozdíl, symetrická diference, doplněk) několika (často tří) podmnožin univerzální množiny.Diagramy se používají k výuce základní teorie množin a k ilustraci jednoduchých vztahů množin v pravděpodobnosti, logice, statistice, lingvistice.
• Venn Diagrams. Venn diagrams use circles to represent sets and to illustrate the relationship between the sets. The areas where the circles overlap represent commonality between the sets. In mathematics, Venn diagrams are used to analyze known information obtained from surveys, data reports, and tables. This handout will cover the five steps to.
• Venn Diagrams: Application on Sets, Operations, Videos   