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GENERALIZED ORLICZ SEQUENCE SPACES Kustiawan, Cece; Masta, Al Azhary; Dasep, Dasep; Sumiaty, Encum; Fatimah, Siti; Hazmy, Sofihara Al
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (438.975 KB) | DOI: 10.30598/barekengvol17iss1pp0427-0438

Abstract

Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces. Some of the properties that apply to continuous Orlicz spaces are known, as are Orlicz sequence spaces. This study aims to construct new Orlicz sequence spaces by replacing a function in the Orlicz sequence spaces with a wider function. In addition, this study also aims to show that the properties of the Orlicz sequence spaces still apply to the new Orlicz sequence spaces under different conditions. The method in this research uses definitions and properties that apply to the Orlicz sequence spaces in the previous study and uses the -Young function in these new Orlicz sequence spaces. Furthermore, the results of the study show that the new Orlicz sequence spaces are an extension of the Orlicz sequence spaces in the previous study. And with the characteristics of the -Young function, it shows that the properties of the Orlicz sequence spaces still apply.
PENENTUAN DIAMETER OPTIMAL PADA JARINGAN DISTRIBUSI AIR MENGGUNAKAN PSEUDO-GENETIC ALGORITHM Nur Aidah, Anisa; yulianti, kartika; Sumiaty, Encum
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Pada penelitian ini dibangun model matematika untuk menentukan diameter pipa secara optimal pada sebuah jaringan saluran distribusi air dengan tujuan meminimumkan biaya sekaligus menjaga kinerja hidraulik sistem. Optimasi dilakukan dengan mempertimbangkan batasan teknis berupa tekanan minimum dan kecepatan aliran dalam pipa. Permasalahan optimasi dipandang sebagai kombinasi aspek teknis dan ekonomi, sehingga digunakan pendekatan Pseudo-Genetic Algorithm (PGA) yang dimodifikasi melalui representasi kromosom alfanumerik serta penerapan operator mutasi berbasis Gray Code. Studi kasus diterapkan pada jaringan distribusi PDAM Tirta Raharja Unit Sadu, dan simulasi hidraulik dilakukan menggunakan perangkat lunak EPANET 2.0. Hasil penelitian menunjukkan bahwa algoritma ini menghasilkan solusi dengan total biaya minimum sebesar Rp31.141.171.200,00. Seluruh pipa memenuhi batas tekanan minimum, meskipun beberapa segmen pipa memiliki kecepatan aliran di bawah standar. Temuan ini menunjukkan bahwa metode yang digunakan efektif secara ekonomi dan layak secara teknis, meskipun masih terdapat ruang untuk peningkatan performa hidraulik. Kata Kunci: Optimisasi jaringan pipa, Pseudo-Genetic Algorithm, Gray Code, EPANET 2.0, Efisiensi biaya
Kajian Learning Obstacle pada Topik Keliling Segiempat Ditinjau dari Literasi Matematis PISA 2021 Nabila, Deka Nisa; Sudihartinih, Eyus; Sumiaty, Encum
Edumatica : Jurnal Pendidikan Matematika Vol 12 No 1 (2022): Edumatica: Jurnal Pendidikan Matematika
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (649.051 KB) | DOI: 10.22437/edumatica.v12i01.15631

Abstract

This research aims to obtain the learning obstacle on the topic of rectangular circumference in terms of Mathematical literacy PISA 2021. This research method is qualitative with a DDR (Didactical Design Research) approach, only at the learning obstacle study stage. Instruments for studying learning obstacles are designed based on PISA 2021 Mathematical literacy. Students' ability to conceptualize the perimeter of a quadrilateral will greatly influence subsequent learning, especially for solving the next topic problem. The participants of this study were six students in one of the private junior high schools in the city of Bandung. Participant 1 (P1) is a class VIII student, the other five participants (P1, P2, P3, P4, P5) are class IX students. The collection technique is done through tests, interviews, and documentation. Based on the study results, it was concluded that there were still some students who did not understand the concept of the perimeter of a quadrilateral in terms of mathematical literacy by PISA 2021. It was known that there were three learning obstacles, namely the connection of the concept of the perimeter of a rectangle with everyday life the ability of students to conceptualize the perimeter of a rectangle related to everyday problems. Days, and Use the formula for the perimeter of a quadrilateral.
Kajian Learning Obstacle pada Topik Bilangan Berpangkat Ditinjau dari Literasi PISA 2021 Sumirat, Syein Fadilla Putri; Sudihartinih, Eyus; Sumiaty, Encum
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 1: Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 1 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i1.1933

Abstract

Tujuan penelitian ini yaitu untuk mengetahui jenis learning obstacle pada topik bilangan bulat yang ditinjau dari literasi matematis PISA 2021. Metode yang digunakan pada penelitian ini adalah kualitatif dengan menggunakan kerangka penelitian desain didaktis (didactical design research), yang terfokus pada learning obstacle. Instrumen untuk mengkaji learning obstacle didesain berdasarkan literasi matematis PISA 2021. Partisipan penelitian ini adalah enam siswa kelas IX di salah satu SMP di kota Bandung. Data dikumpulkan melalui tes tulis dan wawancara. Data yang telah terkumpul dianalisis secara deskriptif. Hasil penelitian menunjukkan bahwa terdapat lima jenis learning obstacle yaitu pemahaman konsep perkalian pada perpangkatan, pemahaman operasi penjumlahan bilangan berpangkat, pemahaman dalam menjabarkan , pemahaman dalam menyelesaikan masalah yang berkaitan dengan perpangkatan, serta koneksi konsep bilangan berpangkat dan bentuk decimal.
Optimizing Modem Placement in UPI Building FPMIPA using the Illumination Model Aisy, Khansa Salsabila Rohadatul; Yulianti, Kartika; Sumiaty, Encum; Yusnitha, Isnie
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 6 No. 2 (2024)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v6i2.41452

Abstract

Since a reliable internet signal has become an essential and significant need nowadays, the existence of modems as transmitters of internet signals is also crucial; modems transmit the internet signal (without cable), which is then captured by devices. This research aims to construct a mathematical model to determine the minimum number of modems and their placement so that the entire building FPMIPA-A of UPI has a good internet signal. In this research, we assume that the modem can pass through at most two walls, and the area studied is limited to the first floor of FPMIPA-A. The model is based on the illumination problems theorems, one of which states that every monotone 6-gon can be covered by a single 2-modem point placed at one of its two leftmost (or rightmost) vertices.  By the theorem, we view the layout of the rooms in the building as a combination of polygons. The results show that 12 modems are required to cover all areas on the first floor of FPMIPA-A to get a good signal.Keywords: illumination problem; modem; polygonal regions; optimal modem placement; building FPMIPA A. AbstrakSaat ini, kebutuhan akan sinyal internet yang andal menjadi kebutuhan penting dan utama. Modem sebagai pemancar sinyal internet mengirimkan sinyal internet (tanpa kabel) dan kemudian ditangkap oleh perangkat. Penelitian ini bertujuan untuk membangun model matematika yang menentukan jumlah minimum modem dan penempatannya agar seluruh gedung FPMIPA-A UPI mempunyai sinyal internet yang baik. Pada penelitian ini diasumsikan modem dapat menembus paling banyak dua dinding dan area yang diteliti dibatasi pada lantai 1 gedung FPMIPA-A UPI. Model matematika untuk masalah penempatan modem ini didasarkan pada teorema masalah iluminasi, yang salah satunya menyatakan bahwa setiap 6-gon monoton dapat ditutupi oleh satu titik 2-modem yang ditempatkan di salah satu dari dua simpul paling kiri (atau paling kanan).  Berdasarkan teorema tersebut, tata ruang pada lantai 1 gedung FPMIPA-A UPI dipandang sebagai kombinasi poligon. Hasil penelitian menunjukkan bahwa dibutuhkan 12 modem untuk mencakup seluruh area di lantai 1 FPMIPA-A guna mendapatkan sinyal yang baik. Kata Kunci: masalah iluminasi; modem, daerah poligon; penempatan modem secara optimal; gedung FPMIPA A. 2020MSC: 90C90.