THEORY OF NUMERICAL SETS

Authors

  • DА Zhunisbekova Республика Казахстан
  • KhA Ashirbaev Республика Казахстан
  • GA Takibaeva Республика Казахстан
  • AB Imanbaeva Республика Казахстан
  • A(ChT-19-3a) Kuatbekova Республика Казахстан

Abstract

“Numerical sets” is the most interesting theme of mathematical calculus. Let’s read it. Methods of defining sets. A set can be defined in either of two ways: a) explicitly listing each of the elements of the set e.g. the set {2, 3, 4, 5}. b) describing the set by stating properties that define it e.g. the set of all black cats in France. The first method is called the roster method and the second method is called the property method. Sets are usually denoted by capital letters such as A, B, X, S, etc. and the elements within them by lower case letters such as a, b, x, s, etc. When the roster method is used to define a set, the elements of the set are usually enclosed in braces and separated by commas e.g. S = {3, 5, 7, 9} is the set S consisting of elements 3, 5, 7, 9. The notation x  S means that x is an element of S; x ∉S means x is not an element of S. To indicate a set of objects having the property P, the notation {x | x has the property P} is used. The notation {x | } is called a set builder. The bar “ | ” is read “such that.”

References

1.Zhunisbekova D.A., Ashirbaev Kh.A. Higher Mathematics. - Shymkent: Publishing house “Alem”, 2018. – 360 p.

Published

2020-02-02

How to Cite

Zhunisbekova, D., Ashirbaev, K., Takibaeva, G., Imanbaeva, A., & Kuatbekova, A.- 19- 3a). (2020). THEORY OF NUMERICAL SETS. Pridneprovskiy Scientific Bulletin, 6(662). Retrieved from http://www.rusnauka.com/index.php/rusnauka/article/view/1842