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Verma, Gaurav
- Self Similarity in Fractals
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Authors
Affiliations
1 Department of Mathematics, Gobindgarh Public College, Khanna, Punjab, IN
1 Department of Mathematics, Gobindgarh Public College, Khanna, Punjab, IN
Source
Research Journal of Engineering and Technology, Vol 7, No 2 (2016), Pagination: 75-78Abstract
The purpose of the paper is to discuss the infinite similar behavior of fractal by discussing various natural and mathematical examples of the fractals. A fractal is a mathematical set that exhibits a repeating pattern that displays at every scale. It can be said that fractals are geometric shapes generally rough structures that can be divided into parts, each of which is diminished size copy of the original. The main characteristic of fractals is that they exhibit great complexity driven by simplicity.Keywords
Fractal, Similarity, Pattern, Set.- Measures in Mathematics
Abstract Views :142 |
PDF Views:0
Authors
Affiliations
1 Gobindgarh Public College, Khanna, Ludhiana -141001, IN
1 Gobindgarh Public College, Khanna, Ludhiana -141001, IN
Source
Research Journal of Engineering and Technology, Vol 8, No 3 (2017), Pagination: 230-232Abstract
The current paper presents the concept of measures in mathematics. The terms "measure," "measurable," etc. have very precise technical definitions that can make them appear difficult to understand. Measures are important not only because of their intrinsic geometrical and probabilistic significance, but because they allow us to define integrals. In this paper, we discuss brief theory of measures and their properties. The paper also includes the various important list of examples of the measure that are used in various fields of mathematics. We have used standard definitions and notations from set theory.Keywords
Measure, Set, Lebsegue.References
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