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Yopi Andry Lesnussa
Jurusan Matematika Universitas Pattimura
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Journal : Tensor: Pure and Applied Mathematics Journal

 1 
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 .
Co-Authors Abdul Malik Balami Abraham Z Wattimena Abraham Z. Wattimena Abraham Zacaria Wattimena Abraham Zakaria Wattimena Abraham Zakharia Wattimena Abrahams, H. Apituley, Fredrylo Alberth Noel Joddy Astrid A Titahena Astrid G. Heumasse Aulele, Salmon Notje Batkunde, Harmanus Beay, Lazarus Kalvein C. G. Mustamu Charlita Fhilya Chrisani Waas Citra Fathia Palembang D Patty D. L. Rahakbauw Damani, Nur Mila Dewi Ls E R Persulessy E. R. Persulessy Elvinus P. Persulessy Endro Risamasu F. Kondo Lembang Fauzan Samallo Fhilya, Charlitta Filiany S. Tutupary H. Kelian H. Lellolsima H. W. M. Patty Hayoto, Sasmita Hukubun, V Idah, Mus Rika Ilwaru, Venn Y. I. Ilwaru, Venn Yan Ishak Jefri Esna Thomas Radjabaycolle Johan Bruiyf Bension Julianty Madiuw Lakotany, Jemsry E. Larubun, Swine Enggelina Latumeten, Ralf Lazarus Kalvein Beay Leleury, Zeth A. Lexy Jansen Sinay M. S. Noya Van Delsen M. W. Talakua M. W. Talakua Madiuw, Julianty Marlon Stivo Noya van Delzen Mozart W. Talakua Muhammad Y. Matdoan Muhammad Yahya Matdoan Muhammad Yahya Matdoan Munahaji Lukaraja Mus Rika Idah Nanang Ondi Natasian, Nehemia Trianto Noya van Delsen, Marlon S. Nurhidayah Nurhidayah Ojo, Mayowa Micheal Ondi, Nanang Papalia, Anita Patty, Henry Willyam Michel Persulessy, Elvinus R. Peter, Olumuyiwa James R. J. Djami Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rijoly, Monalisa E Rijoly, Monalisa E. Rijoly, Monalissa E Ronald John Djami Rumlawang, F Y Rumlawang, Francis Y RUMLAWANG, FRANCIS YUNITO Sahusilawane, Maria Engeline Sapulette, Nona Tjie Set Sasake Sinay, Lexy Jansen Stevanny Tamaela Subchan Subchan Subchan, Subchan Sumah, Tesa Tahalea, Sylvert Prian Talakua, Mozart W. Talakua, Mozart Winston Tamaela, Stevanny Tentua, Jesica Tomasouw, Berny Pebo Umi Sari Rumata Venn Y.I. Ilwaru Vynska Amalia Permadi Waas, Rethalina Warong, Maria Marlein Wattimena, Abraham Zacaria Yulia S. Kakisina Zakheus Putlely Zeth Arthur Leleury, Zeth Arthur