An example was given for a set 0,7, 212, and 1023. As we can see in the graph in a form of a roller, there is no fraction or negative values. The three dots are extended numbers, or so on. What are the whole numbers? The whole numbers are simply the numbers 0,1,2,3,4,5 and three dots. We start with the definition of terms we have talked about in the introduction. For this example, the order is not important. and if the number of elements is great, we can use use the three dots which means it goes forever. Then, mention the well-defined element, and list all the required elements separated by a comma, that satisfies your statement. We simply list each element or member separated by a comma. The next item is the notation I quote, there is a fairly simple notation for sets. An example is a set of items that someone wears. I quote, I’m sure you could come up with at least a hundred this is known as a set. Set braces, this symbol is shown as two curly brackets The symbols which are used to indicate sets.įor example the item you wear shoes, socks, a hat shirt, pants and so on. If the element follows the conditions that are stated or not for proper selection between alternatives, exclude the non-appropriate choice. As to whether or not an object belongs to it, this is well defined to guarantee a correct choice for proper elements. What is well-defined? A set is well-defined if there is no ambiguity. These elements for which a certain condition is selected and well defined.įor instance, we could specify that our set has x bigger than or smaller than a certain value, or even x= square of a number value. The sets are well-defined, a collection of objects or ideas. What is a set? The set is a well-defined collection of objects or ideas. The fourth item is rational and irrational. The five items are to be included in our discussion. The video has a subtitle and a closed caption in English. That was a brief discussion of the content of the video. I hope that subject will find your satisfaction. and the other relevant items that come out of the set. The topic that we will discuss by god’s will is the definition of set. With the growth of digital devices, especially computers, discrete mathematics has become more and more important. In contrast,ĭiscrete mathematics concerns itself mainly with finite collections of discrete objects. Since the time of Isaac Newton and until quite recently, almost the entire emphasis of applied mathematics has been on continuously varying processes, modeled by the mathematical continuum and using methods derived from the differential and integral calculus. Discrete structures can be finite or infinite.ĭiscrete mathematics is in contrast to continuous mathematics, which deals with structures that can range in value over the real numbers, or have some non-separable quality, refer to this link. Examples of structures that are discrete are combinations, graphs, and logical statements. What is Discrete math?ĭiscrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Definition of Sets, set braces, and notations.
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