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Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 49 No. 1 (2017)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2017.49.1.3

In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-degenerate bilinear space is representable by a unique element of the space if and only if its kernel is closed. Moreover an explicit equivalent condition can be identiï¬ed for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series.

Continuous-Like Linear Operators on Bilinear Spaces Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 2 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.2.8

This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to the operator being continuous. In this paper, this result is extended to the class of linear operators on bilinear spaces. It is shown that the existence of the adjoint of a linear operator on a bilinear space is guaranteed if and only if the operator is continuous-like.

Edukasi Perencanaan Dana Pensiun secara Mandiri Bagi Karyawan Swasta SMK Terpadu Putra Jaya Batam Widya Reza; Andini Setyo Anggraeni; Sabarinsyah
Jurnal SOLMA Vol. 12 No. 2 (2023)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v12i2.11280

Background: One of the phenomena surrounding Indonesian society is the lack of awareness of pension fund planning, so there are often financial problems in retirement. This activity aims to educate the public about the importance of independent pension fund planning, especially private employees. Method: This activity was carried out at SMK Terpadu Putra Jaya Batam with 25 participants. This activity lasted for six weeks, with the intervention providing education on pension fund planning and calculating pension fund needs independently. This series of activities consists of a pretest, material description, discussion session, and post-test. Results: This activity increased participants' understanding of the importance of independent pension fund planning for private employees. The pretest results showed that participants who understood and were interested in planning pension funds only amounted to 5%. The post-test results showed that 98% of participants understood and intended to prepare pension funds. Participants also learned about calculating the time value of money for pension funds and choosing suitable investments. Conclusion: The participants were very enthusiastic about participating in this activity which was shown by an increased understanding and interest in planning pension funds independently. Even though they already have high knowledge, private employees should also be able to control themselves to have good retirement fund planning.

ANALISIS PERBEDAAN KUANTITAS PRODUCT SALES ANTAR DEPARTMENT PERIODE BULAN JUNI 2023 PADA SALAH SATU CUSTOMER DI PT X Jesica Hutagalung; Sabarinsyah
JURNAL SINTAK Vol. 2 No. 1 (2023): SEPTEMBER 2023
Publisher : LPPM-ITEBA

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

This study aims to see whether there are differences in the number of sales between departments to a customer at PT. XManufacturing Indonesia for one month. The data used is sales data to one of the customers in June 2023. The analysis used to test the data is the Analysis of Variance. The test results show a significance value of 0.039, so that the sig or P value <0.05. So it can be concluded that there is a significant difference between the quantity of sales between departments. This is directly proportional to the ANOVA test conducted to determine the difference in average sales between departments.

Edukasi Perencanaan Dana Pensiun secara Mandiri Bagi Karyawan Swasta SMK Terpadu Putra Jaya Batam Widya Reza; Andini Setyo Anggraeni; Sabarinsyah
Jurnal SOLMA Vol. 12 No. 2 (2023)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v12i2.11280

Background: One of the phenomena surrounding Indonesian society is the lack of awareness of pension fund planning, so there are often financial problems in retirement. This activity aims to educate the public about the importance of independent pension fund planning, especially private employees. Method: This activity was carried out at SMK Terpadu Putra Jaya Batam with 25 participants. This activity lasted for six weeks, with the intervention providing education on pension fund planning and calculating pension fund needs independently. This series of activities consists of a pretest, material description, discussion session, and post-test. Results: This activity increased participants' understanding of the importance of independent pension fund planning for private employees. The pretest results showed that participants who understood and were interested in planning pension funds only amounted to 5%. The post-test results showed that 98% of participants understood and intended to prepare pension funds. Participants also learned about calculating the time value of money for pension funds and choosing suitable investments. Conclusion: The participants were very enthusiastic about participating in this activity which was shown by an increased understanding and interest in planning pension funds independently. Even though they already have high knowledge, private employees should also be able to control themselves to have good retirement fund planning.

ANALYSIS OF EXPORTS OF FIVE MAIN FISHERY PRODUCT COMMODITIES IN BATAM CITY USING THE MARKOV CHAIN MODEL Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Aprilla Handayani, Vitri; Tarsila, Huiliana
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 2 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i2.644

Indonesia, an archipelagic country, boasts significant potential in the fisheries sector, notably in the export of fishery products. Batam as a free trade zone plays a major role in Indonesia's fishery product exports. According to the Central Statistics Agency's data, there has been a 2.47% decline in fish and shrimp exports in January and February 2023 compared to January 2022. Therefore, further analysis is needed on projected exports of fishery products in Batam. This study focuses on the utilization of the Markov chain model to analyze the export dynamics of Batam City's primary fishery product commodities, including Seaweed, Fish, Shrimp, Crab, and Shellfish. Monthly export data for Batam City's fishery products throughout 2021-2023 sourced from The Ministry of Marine Affairs and Fisheries. Based on these data, the transition probability matrix will be calculated based on the number of export transitions below and above the Moving Average (MA 12) value. The Markov chain model for this case is an erdogic Markov chain model, in order that the limiting probability of the Markov chain model can be determined. The result shows that exports of fish, shrimp and crab in the long term will exceed the average export size in the past year each after 7 months, 11 months, and 14 months later respectively, while exports of seaweed and shellfish in the long term will be below the large average exports in the past year after 15 and 5 months. This research result offer valuable insights for the government to formulate strategies and policies concerning fishery product exports

Edukasi Tentang Implementasi Ilmu Matematika Dalam Bidang Kemaritiman Reza, Widya; Faradiba Jabnabillah; Anggareni, Andini Setyo Anggraeni; sabarinsyah
Jurnal SOLMA Vol. 13 No. 2 (2024)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v13i2.14932

Background: Sebahagian besar orang masih menganggap matematika sebagai ilmu yang sulit dan membingungkan karena dalam praktiknya, ilmu tersebut cenderung hanya ditekankan pada penguasaan konsep dan pengaplikasian matematika dalam soal-soal standar ujian tertulis tanpa adanya integrasi dengan kehidupan nyata. Tujuan pengabdian masyarakat ini untuk memberikan eduksi tentang bagaimana implementasi ilmu matematika dalam dunia nyata khusus nya bidang kemaritiman dengan memberikan berbagai contoh permasalahan dan cara memecahkan masalah menggunakan ilmu matematika. Metode: Kegiatan ini dilaksanakan di SMA N 21 Batam dengan jumlah peserta sebanyak 31 orang. Kegiatan ini berlangsung selama enam minggu dengan intervensi memberikan edukasi tentang implementasi ilmu matematika dalam bidang kemaritiman dengan praktik penggunaan software statistika dalam proses pembelajaran matematika. Rangkaian kegiatan ini terdiri dari prestest, uraian materi, praktik, sesi diskusi, dan post test. Hasil: Hasil pretest menunjukkan bahwa persentase tingkat motivasi siswa pada pembelajaran matematika masih banyak yang kurang termotivasi bahkan tidak termotivasi. sedangkan hasil post test menunjukkan bahwa terjadi peningkatan motivasi siswa setelah dilakukan pelatihan software statistika menggunakan data kemaritiman. Peserta juga memperoleh pengetahuan tentang implementasi ilmu matematika dalam berbagai bidang dengan emanfaatkan software statistika. Kesimpulan: Para siswa sangat antusias dan bersemangat mengikuti kegiatan ini yang ditunjukkan dengan peningkatan pemahaman, motivasi dan kepuasan dalam belajar ilmu matematika. Meskipun sudah memiliki pemahaman yang cukup, namun sebaiknya siswa dan guru matematika juga mampu meningkatkan motivasi dalam mempelajari ilmu matematika dengan pendekatan studi kasus dan penggunaan berbagai software matematika dalam proses pembelajaran.

Fuzzy time series markov chain and discrete-time markov chain analysis of export gonggong in Batam Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Hayati, Nahrul; Wati, Dia Cahya; Ananda, Serly Tri
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26494

Gonggong snails are an important fisheries commodity that has high economic value. However, freight on board export Gonggong has a bigger probability to decrease (below the half-term weighted average). So, more in-depth research is needed about Gonggong exports. In this research we will model and forecast Gonggong exports in Batam City using the Fuzzy Time Series Markov Chain (FTMC) and Discrete-Time Markov Chain (DTMC) methods. In FTMC the data will be divided into six states based on the fuzzification results, while in DTMC the data will be divided into four states, namely very low, low, high, and very high. Gonggong export data in kilograms for Batam City for 2020-2024 is sorted based on H.S. Code. The results of research using FTMC and DTMC provide similar results, namely that in the next six months, in December 2024, Gonggong's export size will experience an equilibrium condition where in the following months the export size will not experience significant changes. The highest possibility that will occur in this condition is that Gonggong's exports will be low with a probability of 39.99%, and the probability that exports will be very low is 24.75%. This is confirmed by the results of analysis using the fuzzy time series Markov chain. The results of the analysis predict that Gonggong's export in the following month, namely July 2024, will be 6,169.97 kg, which is in the low export size category. Predictions for the next month can also be made by continuing the calculation using FTMC.

Pelatihan Pengolahan Data Penjualan dan Analisis Tren Pasar Kuliner Seafood Khas Melayu di Kelong Arjam Mentarau Bertuah Hayati, Nahrul; Sulistyono, Eko; Anggraeni, Andini Setyo; Handayani, Vitri Aprilla; Sabarinsyah; Utami, Arli Magfirah; Putri, Tia Aura; Devikaduri, Laras
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i2.18605

Background: Kelong Arjam Mentarau Bertuah, usaha kuliner seafood khas Melayu di Batam, menghadapi kendala dalam pengelolaan data penjualan dan analisis tren pasar yang masih dilakukan secara manual. Kegiatan Pengabdian kepada Masyarakat (PkM) ini bertujuan meningkatkan kapasitas mitra melalui pelatihan dan pendampingan berbasis teknologi, khususnya dalam pengolahan data penjualan dan analisis tren pasar, guna meningkatkan efisiensi dan daya saing usaha. Metode: Kegiatan ini dilaksanakan melalui metode pelatihan dan pendampingan, yang mencakup penggunaan aplikasi pengolahan data penjualan (Microsoft Excel), analisis tren pasar, serta simulasi bisnis untuk menguji berbagai skenario strategis. Hasil: Terjadi peningkatan signifikan dalam kemampuan mitra untuk mengelola data penjualan secara digital dan menganalisis tren pasar. Mitra berhasil mengidentifikasi produk favorit dan pelanggan favorit, serta meningkatkan laba bersih melalui simulasi pengurangan biaya operasional. Selain itu, mitra kini mampu merancang strategi pemasaran berbasis data, seperti promosi produk premium dan program loyalitas pelanggan. Kesimpulan: Kegiatan PkM ini berhasil mencapai target dengan meningkatkan efisiensi operasional dan strategi pemasaran mitra. Rekomendasi untuk kegiatan selanjutnya adalah pendampingan jangka panjang, pengembangan sistem loyalitas pelanggan, dan ekspansi pemasaran digital untuk memperluas jangkauan pasar. Dampak kegiatan ini diharapkan dapat menjadi model bagi pengembangan UMKM kuliner lainnya.

Comparison of Robust Regression Methods: Least Trimmed Squares and Maximum Likelihood for Handling Outliers Kurniawan, Andro; Oktarina, Cinta Rizki; Sabarinsyah, Sabarinsyah
Diophantine Journal of Mathematics and Its Applications Vol. 4 No. 2 (2025): Vol. 4 No. 2 (2025)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v4i2.46149

This study investigates the determinants of per capita expenditure in 154 regencies and cities across Sumatra Island. The use of the Ordinary Least Squares method is deemed inappropriate due to violations of classical assumptions and the presence of outliers within the dataset. To address these issues, robust regression approaches are applied, specifically M-estimation and Least Trimmed Squares (LTS). The dependent variable in the analysis is per capita expenditure, while the explanatory variables include poverty line, human development index, average years of schooling, and expected years of schooling. The estimation procedures are performed using both raw and standardized data. The empirical results demonstrate that each independent variable significantly influences per capita expenditure under both robust estimation techniques. To determine the most reliable method, the residual standard error is used as the evaluation criterion. The outcomes indicate that the LTS estimator applied to standardized data provides the lowest error value, suggesting that it is the most suitable approach for estimating the regression parameters associated with per capita expenditure in Sumatra.

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