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All Journal Jurnal Sains dan Teknologi JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Square : Journal of Mathematics and Mathematics Education Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Operations Research: International Conference Series International Journal of Economy, Education and Entrepreneurship (IJE3) International Journal of Multidisciplinary Research and Literature (IJOMRAL) Bulletin of Applied Mathematics and Mathematics Education Jurnal Matematika Integratif
Ari Wardayani, Ari
Universitas Jenderal Soedirman
Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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SEMIGRUP REGULER DAN SIFAT-SIFATNYA Istikaanah, Najmah; Wardayani, Ari; Renny, Renny; Nurahmadhani, Ambar Sari; Sb., Agustini Tripena Br.; Triyani, Triyani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2021.13.2.4968

Abstract

ABSTRACT. This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to groups, idempoten semigroups and invers semigroups. This article also discusses the Cartesian product of two regular semigroups where it is concluded that the Cartesian product of two regular semigroups is a regular semigroup, a group must be a regular semigroup. In addition, idempotent semigroups and inverse semigroups are also regular semigroups.Keywords: idempoten semigroup, inverse semigroup, regular semigroup, Cartesian product ABSTRAK. Artikel ini membahas tentang sifat-sifat semigrup reguler. Sifat-sifat ini khususnya berkenaan dengan keterkaitan semigrup reguler dengan grup, semigrup idempoten, dan semigrup invers. Pada artikel ini juga dibahas mengenai hasil kali Cartesius dari dua semigrup regular dimana diperoleh kesimpulan bahwa hasil kali Cartesius dua semigrup reguler merupakan semigrup reguler, suatu grup pasti merupakan semigrup regular. Selain itu, semigrup idempoten dan semigrup invers juga merupakan semigrup regular.Kata kunci: semigrup idempoten, semigrup invers, semigrup reguler, hasil kali kartesius.
Determining The Optimal Portfolio Markowitz Model on Moving Stock Prices Using Brown Motion Geometry Suhariman, Fikrianto; Prabowo, Agung; Wardayani, Ari
Operations Research: International Conference Series Vol. 4 No. 3 (2023): Operations Research International Conference Series (ORICS), September 2023
Publisher : Indonesian Operations Research Association (IORA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/orics.v4i3.253

Abstract

Stock price movements that fluctuate and follow a stochastic process will make it difficult for investors to start investing. For that, we need a stochastic mathematical model. The Brownian geometry motion model is one of the stochastic models that can be used to display the condition of a stock's price movement. Investment is related to the rate of return (return) and the risk obtained. The higher the rate of return obtained, the higher the risk obtained. Therefore, a portfolio calculation is needed, one of which is using the Markowitz model. The Markowitz model can be used to determine the optimal portfolio. The purpose of this study is to model stock prices and form an optimal portfolio. The stock price data used are BBRI, TLKM, and ADRO for the period from 1 July 2021 to 31 August 2022. The results obtained from this study are that there are three portfolio preferences. If investors like high risk to get high returns, then the combined allocation of funds for BBRI, TLKM and ADRO shares is 10.51%, 42.05% and 47.44% respectively. If investors do not like high risk but still want to get a return that is balanced with risk, then the combination of fund allocation for shares of BBRI, TLKM and ADRO is 22.62%, 46.63% and 30.75%, respectively. If the investor chooses minimum risk, the combined allocation of BBRI, TLKM and ADRO shares is 34.73%, 51.21% and 14.06%, respectively.
A mathematical model for the spread of oil spills in high seas Guswanto, Bambang Hendriya; Achfasarty, Kiran Nirmala; Wardayani, Ari
Bulletin of Applied Mathematics and Mathematics Education Vol. 1 No. 1 (2021)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (617.829 KB) | DOI: 10.12928/bamme.v1i1.3877

Abstract

This study aims to model the distribution pattern of oil spills in high seas with the influence of wind movements. The mathematical model is derived from the random walk process of the oil spill particles by using a probability measure on a unit circle with the help of Laplace and Fourier transform . The solution to the model is also obtained by using Laplace and the Fourier transform. Based on the analysis of the solution of the model, the oil spill tends to spread in the direction of wind movement.. The speed and direction of the wind movement affect the speed and direction of the spread of the oil spill particles. The larger the speed of wind movement, the faster the oil particles movement.
Developing Students Worksheets Using The Creative Thinking-Based Canva Application Sugihandardji, Chumaedi; Binafsie, Latifah Ibda; Wardayani, Ari; Gunawan, Gunawan; Kusuma, Jaka Wijaya
International Journal of Multidisciplinary Research and Literature Vol. 4 No. 3 (2025): INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH AND LITERATURE
Publisher : Yayasan Education and Social Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53067/ijomral.v4i3.317

Abstract

21st-century   education emphasises the importance of providing students opportunities to foster creative thinking, discover new solutions, and apply concepts to everyday life. One practical approach to encourage creative thinking during lessons is engaging materials or media, such as student worksheets (LKPD). This study aims to develop a mathematics teaching tool, specifically a student worksheet using the canva application based on creative thinking for eighth-grade statistics, which is both valid and practical. This research utilises a Research and Development (R&D) approach, employing the ADDIE model. The ADDIE development model includes five stages: analysis, design, development, implementation, and evaluation. Data analysis incorporates both qualitative and quantitative data. According to assessments from content and media experts, the developed LKPD was rated valid with an average score of 3.2. Student feedback surveys yielded a score of 3.25 (perfect), while teacher feedback surveys received a score of 3.47 (very good). Overall, the average score from student and teacher feedback was 3.36 (very good), indicating that the LKPD is practical for teaching. The developed student worksheet using the Canva application based on creative thinking for eighth-grade statistics is categorised as valid and practical for educational use.
Partial Fourier Transform Methods to Solve the Solution Formula of Stokes Equation in Half-Space Maryani, Sri; Zahratunnisa, Siti Fauziah; Sihwaningrum, Idha; Wardayani, Ari; Guswanto, Bambang Hendriya
JST (Jurnal Sains dan Teknologi) Vol. 11 No. 1 (2022)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (382.102 KB) | DOI: 10.23887/jstundiksha.v11i1.39523

Abstract

Fluida adalah suatu bentuk materi yang memiliki zat cair, gas, dan plasma. Dalam kehidupan sehari-hari, cairan menjadi bagian penting, seperti bagian dari darah dan juga membantu tubuh mendapatkan nutrisi. Selain itu, beberapa fenomena lingkungan terkait erat dengan mekanika fluida. Konsep fluida membantu kita memahami perilaku fluida dengan berbagai kondisi. Telah diketahui bahwa gerak fluida dapat digambarkan dalam model matematika khususnya dalam bentuk persamaan diferensial parsial (PDE) dan disebut sebagai persamaan navier stokes (NSE). Persamaan navier stokes diturunkan dari keseimbangan kekekalan massa dan kekekalan momentum. Dalam penelitian ini mempertimbangkan rumus solusi linierisasi persamaan navier stokes (NSE) dengan masalah nilai batas awal (IBV) dalam ruang setengah tanpa tegangan permukaan. Masalah model yang dipertimbangkan meliputi jenis fluida nonlinier. Prosedur penelitian yang merupakan transformasi model masalah menggunakan transformasi fourier dari sistem persamaan yang baru. Kemudian dihitung rumus solusi dari sistem persamaan baru untuk kecepatan dan kepadatan dari masalah model dengan menggunakan metode transformasi Fourier dan transformasi fourier parsial. Strategi untuk mendapatkan solusi masalah model didasarkan pada analisis beberapa penyelesaian masalah model yang diperoleh dengan menggunakan transformasi laplace dari persamaan stokes. Oleh karena itu, secara khusus, rumus kecepatan v=(v_1,…,v_N ) dan kepadatan (x,t) dari persamaan stokes diperoleh.
Boundedness of Solution Operator Families for the Navier-Lame ́ Equations with Surface Tension in Whole Space Maryani, Sri; Wardayani, Ari; Guswanto, Bambang Hendriya
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.6217

Abstract

In this paper, we consider the boundedness of the operator families in whole space for Navier-Lame model problem in bounded domain of N dimensional Euclidean space (N≥2). To find the boundedness of the operator families, first of all we construct model problem in the form of the resolvent problem by using Laplace transform. Then, using Fourier transform, we get the solution formula of the model problem. In this paper, we use the qualitative methods to construct solution formula of velocity (u). This step is fundamental stage to find the well-posedness of the model problem. As we known that fluid motion can be described in partial differential equation (PDE). Essential point in PDE are finding existence and uniqueness of the model problem. One methods of investigating the well-posedness is R-boundedness of the solution operator families of the model problem. We can find the R-boundedness of the solution operator families not only in whole-space, half-space, bent-half space and in general domain. In this paper we investigate the R-boundedness of the solution operator families only in whole space. By using this R-boundedness, we can find that the multipliers which form of the operator families are bounded with some positive constant. 
DEVELOPMENT OF CONTEXTUAL E-MODULES IN MATHEMATICS LEARNING IN STATISTICS MATERIALS Sugihandardji, Chumaedi; Setiowati, Sulis; Wardayani, Ari; Gunawan, Gunawan; Kusuma, Jaka Wijaya; Widiyastuti, Erni
International Journal of Economy, Education and Entrepreneurship (IJE3) Vol. 5 No. 3 (2025): International Journal of Economy, Education and Entrepreneurship
Publisher : Yayasan Education and Social Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53067/ije3.v5i3.420

Abstract

Encouraging the use of the independent curriculum emphasizes flexibility and student-centered learning. The development of a contextual e-module provides a solution to facilitate relevant and interactive mathematics learning, particularly in statistics for eighth-grade students. This e-module is designed based on students' daily experiences, making the material easier to understand and promoting independent learning. The research method used is Research and Development (RD) with the 4D model (Define, Design, Develop, Disseminate). Validation results from the subject matter and media experts indicate that the contextual e-module in mathematics learning on statistics for eighth grade is valid. Practicality tests through teacher and student response questionnaires show highly practical results, with average scores of 3.6 and 3.5 on a maximum practicality scale of 4.0. In conclusion, the contextual e-module in mathematics learning on statistics for eighth grade has proven valid and practical for use in mathematics education and can serve as an effective and relevant learning resource tailored to students' current needs and conditions.
Co-Authors Achfasarty, Kiran Nirmala Agung Prabowo Binafsie, Latifah Ibda Cerinda, Mitha Chumaedi Sugihandardji Dian Pratama Erni Widiyastuti Gunawan Gunawan Gunawan Gunawan Guswanto, Bambang Hendriya Idha Sihwaningrum Irham Taufiq, Irham Jaka Wijaya Kusuma Kana Hasmi Setiani Maryani, Sri Mutia Nur Estri, Mutia Nur Najmah Istikaanah Najmah Istikaanah Niken Larasati Nurahmadhani, Ambar Sari Nurul Istiqomah Putri, Faiq Fauziya Renny Renny Sb., Agustini Tripena Br. Setiani, Kana Hasmi Sidik, Wuryatmo Ahmad Siti Rahmah Nurshiami, Siti Rahmah Sri Maryani Suhariman, Fikrianto Sulis Setiowati Suroto Suroto Suroto Suroto Triyani Triyani Triyani Triyani Widiyastuti, Erni Zahratunnisa, Siti Fauziah