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Yuliati, Dian
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Arts Humanities Astronomy Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Library & Information Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : Contemporary Mathematics and Applications (ConMathA)

 1 
Existence and Uniqueness of Homogeneous Linear Equation Solutions in Supertropical Algebra Yuliati, Dian; Suci Rahmawati
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.63757

Abstract

This research investigates the existence and uniqueness of solutions to homogeneous linear equations in supertropical algebra. We analyze the structure of supertropical matrices to identify the conditions in which nontrivial solutions exist for the system of equations A⊗? ⊨ ?, where A is a matrix over a supertropical semiring and x is a vector. By applying determinant-based criteria, we demonstrate how tropical and supertropical values influence the solution space. The research applies theorems that determine the presence of trivial and nontrivial solutions and uses examples to illustrate practical methods for solving homogeneous matrix systems. This highlights the distinct characteristics of supertropical algebra compared to classical linear algebra. Our findings provide a deeper insight into solution behaviors in supertropical systems, paving the way for further research in tropical mathematics.
Eksplorasi Etnomatika dalam Tatanan Bangun Ruang dan Bangun Datar Pada Kawasan Alun-Alun Kota Surabaya Yuliati, Dian; Salsabila; Achmad Fachril Yusuf Ababil; Sharenada Norisdita Wahyudi; Moh. Aditya Sirojul Hilmi; Panreshma Rizkha Ambadar
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.53140

Abstract

Mathematics is a science that has been studied from elementary to high school and continues to be developed up to university. Mathematical concepts can be linked to social and cultural concepts called ethnomathematics. Ethnomathematics in community life can be implemented in the form of buildings. This research aims to explore geometric shapes and explain mathematical concepts in the Surabaya City Square building as an effort to help understand geometric concepts in flat shapes and spatial shapes. The method used in this research is a qualitative method with an ethnographic approach and literature study. The research results show that Surabaya City Square is a historic building that implements geometric concepts in terms of buildings. Mathematical concepts in the shape of the Surabaya City Square building include the concept of flat shapes consisting of rectangles, triangles, trapezoids, circles and ellipses, as well as the concept of spatial shapes consisting of triangular prisms, blocks, tubes and balls. It is hoped that this research can provide understanding and make learning interesting, especially in mathematics.
Co-Authors AA Sudharmawan, AA Abdulloh Hamid Abdulloh Hamid Achmad Fachril Yusuf Ababil Ahmad Hanif Asyhar Aris Fanani Asri Sawiji Darmayani, Mariel Tania Desinaini, Latifatun Nadya Dianita Utami, Wika Farizy, Haffif Al Farmita, Mayandah Hani Khaulasari Hunowu, Fairuz Darell Azariah Irzayana, Fitria Salsabilla Karan, Achmad Mustofa Lestari, Dyah Mumpuni Indah Palupi Asih Maulana, Achmad Resnu Maulida, Eka Agustina Moh. Aditya Sirojul Hilmi Nur Aulia, Shofinatul Wahdah Nurfadila, Monika Refiana Nurissaidah Ulinnuha Nurul Istiqomah Panreshma Rizkha Ambadar Pradita, Mutiea Ira Putri, Daffania Tsabitah Zuhra Putri, Ingrid Amalia Rakhmania, Nadin Rizalatul Qomaria Romdloni, Ro’iqotul Fathiyyah Rozzy, Fahrul Salsabila Sani, Puteri Permata Sari, Dian Candra Rini Novita Sharenada Norisdita Wahyudi Suci Rahmawati Suci Rahmawati, Suci Sutini Sutini Sutini, Sutini Wika Dianita Utami Yuniar Farida, Yuniar Yusi, Suyesti