Biography of Euler Venn
Performing exercises for the development of thinking, you can most often encounter two of their types: circles depicting united concepts and embedded in one another to show it. Circles illustrating the intersections of various sets that have certain common features. Let us give an example of using circles when choosing a profession.
You can sort out the options, pondering the most suitable, or you can draw a diagram by depicting in the form of circles what you like to do, what you can and what is well paid. You will get a diagram of Euler. The intersection of these three circles shows that it will be most suitable for you. The method is easy to use and is suitable for everyone. It is used both when working with preschoolers in kindergarten from years, and when teaching students, for example, you can see such tasks in the USE in computer science, and in the scientific environment.
The principle of constructing the diagram when constructing the Euler diagram first draw a large rectangle, denoting a universal set of U. Inside this rectangle, figures are located, which are a image of sets: circles if there are not more than three or circles and ellipses when there are four or more. The figures intersect in various ways, depending on the conditions of the task.
Suppose we have an expression A. We depict a circle on the diagram, denoting many A. space inside the circle shows the values in which the expression A will be true, and the area outside denotes a lie. To display a logical operation in the diagram, we shallow those parts of the diagram in which the values are true. As a result, we note the area where many intersect. The principle of building a diagram can be proved by any algebra law, presenting it in the form of a graphic diagram using the Euler diagram.
The algorithm of actions is as follows: first we draw the diagram and shake all the sets that are on the left side of the “equal” sign. Then you need to draw a different diagram and shake the sets that are to the right of the sign of equality on it. If the same area is shared in the diagrams, the identity will be true. We deepen into the topic more strongly. The complement to the set of A will be many of its elements do not belong to the set of A.
according to the conditions for the use of the Euler diagram, all the sets in question in the task will be included in the universal set U, that is, it is its subsets. It consists of elements that enter the many A, and at the same time in many V. In order to register for free intensive and get a selection of files from Geekbrains as a gift, fill out the information in the opening window.