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Journal : Tensor: Pure and Applied Mathematics Journal

The total irregularity strength of m copies of the friendship graph Meilin Tilukay; Harmanus Batkunde
Tensor: Pure and Applied Mathematics Journal Vol 3 No 1 (2022): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol3iss1pp43-48

Abstract

This paper deals with the totally irregular total labeling of the disjoin union of friendship graphs. The results shows that the disjoin union of copies of the friendship graph is a totally irregular total graph with the exact values of the total irregularity strength equals to its edge irregular total strength.
Symmetric Functions with Respect to a Point (a,b) and Its Properties that Generalized from Properties of Odd Functions Natasian, Nehemia Trianto; Lesnussa, Yopi Andry; Batkunde, Harmanus
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss1pp9-16

Abstract

The function f: R \to R is said to be an odd function if f (-x) = -f(x) for every x \in R. The graph of an odd function is symmetry with respect to origin, or point (0,0) . The propose of this study is to observe some properties of symmetrical functions which are generalize from some properties of odd functions. Some of the results obtained include a linear combination of two functions symmetrical with respect to the point (a,b) is a functions of symmetrical with respect to the point (a,2b). An integral functions of symmetrical with respect to the point (a,b) on a closed interval [a-c,a+c] is 2bc for any real number c. Moreover product of scalars with functions of symmetrical with respect to the point (a,b) is a functions of symmetrical with respect to the point (a,\alpha b) for every \alpha real numbers. Furthermore the addition n-symmetrical of functions with respect to the point (a,b) is a series of functions of symmetrical with respect to the point (a,nb). he function is said to be an odd function if for every . The graph of an odd function is symmetry with respect to origin, or point . The propose of this study is to observe some properties of symmetrical functions which are generalize from some properties of odd functions. Some of the results obtained include a linear combination of two functions symmetrical with respect to the point is a functions of symmetrical with respect to the point . An integral functions of symmetrical with respect to the point on a closed interval is for any real number . Moreover product of scalars with functions of symmetrical with respect to the point is a functions of symmetrical with respect to the point for every real numbers. Furthermore the addition -symmetrical of functions with respect to the point is a series of functions of symmetrical with respect to the point .
The Digital Image Compression Using Wavelet Daubechies Transform Maitimu, Meldry W; Rumlawang, Francis Y; Tilukay, Meilin I; Batkunde, Harmanus
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss1pp27-32

Abstract

As a form of data representation, the obstacle faced when using digital images is the large volume of data required to represent the image. For that we need a technique that can reduce the volume of data, this thechnique is called compression. In this thesis, a very well-known wavelet transform method is chosen, namely Daubechies D4 wavelet transform, with four coefficients of scaling function, and four coefficients of wavelet function. Then implemented with MATLAB 2021 software as a programming tool to see the effect of quality on the transformed image.