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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi SITEKIN: Jurnal Sains, Teknologi dan Industri Jurnal Fourier Jurnal Sains Matematika dan Statistika Jurnal Matematika: MANTIK JURNAL ILMIAH MATEMATIKA DAN TERAPAN Seminar Nasional Teknologi Informasi Komunikasi dan Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) KUBIK: Jurnal Publikasi Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) CONSEN: Indonesian Journal of Community Services and Engagement Jurnal Matematika Integratif Jurnal Ecotipe (Electronic, Control, Telecommunication, Information, and Power Engineering) Journal of Research on Community Engagement

Corry Corazon Marzuki

Universitas Islam Negeri Sultan Syarif Kasim Riau

Author-ID : 317055

Religion Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Invers Matriks Leslie Bentuk Khusus Ordo n×n (n≥4) Ade Novia Rahma; Resi Arisanti; Corry Marzuki Corazon Marzuki; Fitri Aryani
Jurnal Matematika Integratif Vol 18, No 2: Oktober 2022
Publisher : Department of Matematics, Universitas Padjadjaran

Penelitian ini bertujuan untuk menentukan invers dari matriks bentuk khusus ordo menggunakan metode Adjoin. Terdapat tiga langkah yang dikerjakan. Pertama diperhatikan bentuk pola determinan dari matriks bentuk khusus ordo sampai sehingga didapat bentuk umumnya. Kedua, perhatikan bentuk pola matriks kofaktor dari matriks berbentuk khusus ordo sampai sehingga didapat bentuk umumnya. Ketiga, didapatkan bentuk umum invers dari matriks bentuk khusus ordo yang diperoleh berdasarkan Teorema (2) dan Teorema (3).

Direct Torque Control (DTC) Design With Fuzzy Sugeno-Proportional Derivative for 3-Phase Induction Motor Speed Control Ahmad Ahmad Faizal; Agustiawan Agus; Nanda Putri Miefthawati; Mulyono Mulyono; Rudy Kurniawan; Elfira Safitri; Corry Corazon Marzuki; Rahmadeni Rahmadeni
Jurnal Ecotipe (Electronic, Control, Telecommunication, Information, and Power Engineering) Vol 10 No 1 (2023): Jurnal Ecotipe, April 2023
Publisher : Jurusan Teknik Elektro, Universitas Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33019/jurnalecotipe.v10i1.3925

In general, in the industrial world, induction motors are more widely used than direct current motors, due to the characteristics of induction motors that are sturdy, reliable, easy to maintain, and relatively inexpensive. The phenomenon of changing rotational speed when the load changes results in regulation of the speed of the induction motor, which risks slow response time, there is overshoot which should still be minimized, and there are disturbances caused by external environmental factors, so that a controller is needed that is able to work effectively to optimize performance. 3 phase induction motor. The purpose of this study is to design a sugeno-PD fuzzy DTC controller, where the DTC provides a fast and strong response mounted on an AC motor. Fuzzy Sugeno provides a short calculation time and its reasoning includes wide enough data and PD to speed up the response time results. So that the proposed method produces an induction motor rotating speed according to the given setpoint of 100 rad/s with a settling time of 0.45 seconds, a rise time of 0.2 seconds and no steady state error. From the state of the plan output response before being given the controller there is a steady state error of 5 rad/s, a maximum overshoot of 5.4111%, a settling time of 0.1554 seconds and a rise time of 0.1554 seconds

Invers Matrik RSLPFL Bentuk Khusus (b, 0, …, 0, b) Berordo n×n Dengan n≥3 Menggunakan Matrik Blok 2×2 Ade Novia Rahma; Rahel Edrian; Rahmawati Rahmawati; Corry Corazon Marzuki
Jurnal Matematika Integratif Vol 19, No 2: Oktober 2023
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v19.n2.49600.245-257

Penelitian ini bertujuan untuk menentukan invers dari matriks RSLPFLcircfr bentuk khusus (b,0, …, 0,b) berordo n×n dengan n≥3 menggunakan matriks blok 2×2. Dalam menentukan invers matriks RSLPFLcircfr berbentuk khusus, terdapat tiga langkah yang dikerjakan. Pertama memblok atau mempartisi matriks RSLPFLcircfr dari ordo 3×3 sampai 8×8 dengan dua alternative cara blok. Kedua, menentukan invers submatriks yang invertible dengan menerapkan komplemen Schur lalu menentukan invers matriks RSLPFLcircfr dengan menerapkan kembali komplemen Schur. Ketiga, menentukan bentuk umum invers submatriks yang invertible dan bentuk umum matriks RSLPFLcircfr dan membuktikan dengan aturan invers lalu menerapkan pada contoh soal sesuai dengan Teorema.

Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method Rahma, Ade Novia; Wulanda, Velyn; Rahmawati, Rahmawati; Marzuki, Corry Corazon
KUBIK Vol 8, No 2 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v8i2.25517

The matrix RSLPFLcircfr is a particular form of the circular matrix RSLPFLcircfr . This study aims to determine the general form of the inverse matrix RSLPFLcircfr to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by determining the cofactor matrix of the power of the matrix RSLPFLcircfr we will obtain the inverse of the matrix to the power of the matrix RSLPFLcircfr using the adjoin method.

Invers Matriks Toeplitz Bentuk Khusus Ordo 4Ã—4 Berpangkat Bilangan Bulat Positif Menggunakan Adjoin Rahma, Ade Novia; Jauza, Siti Mardhiyah; Marzuki, Corry Corazon; Aryani, Fitri
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 20 No. 1 (2023)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2023.v20.i1.16370

Penelitian ini bertujuan untuk menentukan invers dari suatu matriks Toeplitz bentuk khusus ordo 4 Ã— 4 berpangkat bilangan bulat positif menggunakan adjoin. Dalam menentukan invers matriks Toeplitz bentuk khusus terdapat beberapa langkah yang perlu dikerjakan. Pertama, perhatikan bentuk pola matriks Toeplitz bentuk khusus ð‘‡4 2 sampai ð‘‡4 10 sehingga didapat bentuk umumnya. Kedua, perhatikan bentuk pola determinan matriks Toeplitz bentuk khusus ð‘‡4 2 sampai ð‘‡4 10 sehingga didapat bentuk umumnya. Selanjutnya, perhatikan bentuk pola matriks kofaktor dari matriks Toeplitz bentuk khusus ð‘‡4 2 sampai ð‘‡4 10 sehingga didapat bentuk umm matriks kofaktor dari matriks Toeplitz bentuk khusus. Terakhir, perhatikan bentuk pola invers matriks Toeplitz bentuk khusus ð‘‡4 2 sampai ð‘‡4 10 sehingga didapat bentuk umum invers matriks Toeplitz bentuk khusus. Pembuktian dari bentuk umum matriks, determinan, matriks kofaktor dan invers matriks menggunakan metode induksi matematika dan pembuktian langsung. Hasil akhir dalam penelitian ini diperoleh bentuk umum matriks, determinan, matriks kofaktor dan invers dari matriks Toeplitz berpangkat bilangan bulat positif. Kata Kunci : Determinan, Invers Matriks, Matriks Toeplitz, Metode Adjoin, Perpangkatan Matriks.

Trace of the Positive Integer Powers (n-1)-Tridiagonal Toeplitz Matrix n×n Aryani, Fitri; Wati, Fitri Ambar; Marzuki, Corry Corazon; Zukrianto, Zukrianto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27387

The trace of a matrix is obtained by summing the elements along the main diagonal of a square matrix. The matrix used in this study is a Toeplitz (n-1)-tridiagonal matrix of order n×n. The aim of this research is to determine the general form or formula for the trace of a Toeplitz (n-1)-tridiagonal matrix of order n×n raised to a positive integer power. This research is quantitative, with the research instrument being the collection of data from the multiplication of Toeplitz (n-1)-tridiagonal matrices starting from order 3×3 from powers 2 through 10. This process continues up to order 6×6 from powers 2 through 10, until the pattern becomes apparent. The results of the research are two general forms of the powers of the Toeplitz (n-1)-tridiagonal matrix of order n×n: one for odd positive integer powers and another for even positive integer powers, both of which have been proven using mathematical induction. Furthermore, by using the definition of the trace of a matrix obtained two general forms for the trace of the Toeplitz (n-1)-tridiagonal matrix of order n×n are also derived: one for odd positive integer powers and another for even positive integer powers from the general form of the matrix power. Given the application of these two general forms in example problems with the order 8x8 for powers 12 and 21.

PELATIHAN PENINGKATAN KEMAMPUAN GURU DALAM PEMBELAJARAN MATEMATIKA DI MADRASAH IBTIDAIYAH SE-KECAMATAN TAMBANG KABUPATEN KAMPAR Aryani, Fitri; Marzuki, Corry Corazon; Suryani, Irma
JRCE (Journal of Research on Community Engagement) Vol 1, No 1 (2019): Journal of Research on Community Engagement
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrce.v1i1.4998

This paper contains the results of community service conducted by the implementation team of Madrasah Ibtidaiyah teachers in Tambang District, Kampar Regency. Here the community service team wants to improve the ability of teachers to provide teaching and understanding of mathematics to students later by using the GASING Method. The results obtained that there was an increase in the teachers present as participants by looking at the results of the pre-test and post-test that have been done. This result can be seen that starting with H0, that is, significant pre-test scores are smaller than post-test scores. That is, the teachers who attended were faster and more precise in answering the questions given than before they knew GASING.

Invers Matriks RLPrFrLcirc (0,…,0,a,a) Ordo n×n Dengan n≥3 Menggunakan Matriks Blok 2×2 Rahma, Ade Novia; Asyura Nurislam, Asyura; Aryani, Fitri; Marzuki, Corry Corazon
Jurnal Sains Matematika dan Statistika Vol 11, No 2 (2025): JSMS Juli 2025
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v11i2.28648

[1] H. Anton dan C. Rorres, Aljabar Linear Elementer edisi kedelapan. 2004. [2] B. J. Olson, S. W. Shaw, C. Shi, C. Pierre, dan R. G. Parker, “Circulant matrices and their application to vibration analysis,” Applied Mechanics Reviews, vol. 66, no. 4, 2014. [3] Lin Jiang Z, Ben Xu Z, "Efficient Alghorithm For Finding The Inverse And The Group Inverse of FLS r-Circulant Matrix", J. Appl. Math & Computing, vol 18, no. 1-2, hal. 45-47, 2005. [4] Pan, Xue dan Qin, Mei, "The Discriminance for FLDcircr Matrices and the Fast Alghorithm of Their Invers and Generalized Inverse", vol. 05, hal. 54-61, Shanghai, 2015. [5] Jiang, Xiaoyu dan Hong, Kicheon, "Exact Determinants of some Special Circulant Matrices Involving Four Kinds of Famous Numbers", Hindawi Publishing Corporation Abstract and Applied Analysist, hal. 1-12, 2014. [6] T. Xu, Z. Jiang, dan Z. Jiang, “Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers,” in Abstract and Applied Analysis, 2014, vol. 2014. [7] R. Rahmawati, N. Fitri, dan A. N. Rahma, “Invers Matriks RSFPLRcircfr ,” Jurnal Sains Matematika dan Statistika, vol. 6, no. 1, hal. 113–121, 2020. [8] Z. Hasanah, Y. Muda, F. Aryani, dan C. C. Marzuki, “Determinan Dan Invers Matriks Blok Dalam Aplikasi Matriks FLScircr Bentuk Khusus,” Seminar Nasional Teknologi Informasi, Komunikasi dan Industri (SNTIKI) 11, 2019. [9] A. N. Rahma, M. Anggelina, dan R. Rahmawati, “Invers Matriks Blok Dalam Aplikasi Matriks FLDcircr Bentuk Khusus,” Seminar Nasional Teknologi Informasi Komunikasi dan Industri, hal. 334–344, 2019. [10] R. Edrian, “Invers Matriks RSLPFLcircfr Bentuk Khusus Berordo Dengan Menggunakan Matriks Blok Universitas Islam Negeri Sultan Syarif Kasim Riau, 2022. [11] H. Fikri, “Invers Matriks RFPLRcircfr Bentuk Khusus Berordo Dengan Menggunakan Matriks Blok Universitas Islam Negeri Sultan Syarif Kasim Riau, 2022. [12] E. Rainarli, M. Si, K. E. Dewi, M.Si, and J. T. Informatika, Aljabar Linear dan Matriks. 2011. [13] A. Yulian, S.L.M Sitio, S.D.Y. Kusuma, and P. Rosyani, Aljabar Linear dan Matriks, no. 1. 2019. [14] Davis, Philip J., Circulan Matrices: Division of Applied Mathematics Brown University New York. 1979. [15] Ilhamsyah, Helmi, dan F. Fran, “Determinan Dan Invers Matriks Blok ," Bimaster: Buletin Ilmiah Matematika, Statistika dan Terapannya, vol. 6, no. 03. [16] M. Redivo-Zaglia, “Pseudo-Schur complements and their properties,” Applied numerical mathematics, vol. 50, no. 3–4, hal. 511–519, 2004. [17] T.-T. Lu dan S.-H. Shiou, “Inverses of 2× 2 block matrices,” Computers & Mathematics with Applications, vol. 43, no. 1–2, hal. 119–129, 2002.

TRACE OF THE ADJACENCY MATRIX n×n OF THE CYCLE GRAPH TO THE POWER OF TWO TO FIVE Aryani, Fitri; Puspita, Dian Ayu; Marzuki, Corry Corazon; Muda, Yuslenita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

The main aim of this research is to find the formula of the trace of adjacency matrix from a cycle graph to the power of two to five. To obtain the general form, the first step is finding the general formula of the adjacency matrix from a cycle graph to the power of two to five. Furthermore, the formula of the trace of adjacency matrix which is mentioned above obtained and proven by direct proof. We also present an implementation of the formula which is given by an example.

ON THE TOTAL VERTEX IRREGULARITY STRENGTH OF SERIES PARALLEL GRAPH sp(m,r,4) Marzuki, Corry Corazon; Utami, Aminah; Elviyenti, Mona; Muda, Yuslenita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0213-0222

his study aims to determine the total vertex irregularity strength on a series parallel graph for and . Total labeling is said to be vertex irregular, if the weights for each vertices are different. Determination of the total vertex irregularity of series parallel graph is done by obtaining the largest lower bound and the smallest upper bound. The lower bound is obtained by analyzing the structure of the graph to obtain the largest minimum label of k and the upper bound is analyzed by labeling the vertices and edges of the graph, where the largest label is k and the values for each vertices weight is different. The result obtained for the total vertex irregularity strength of a series parallel graph is .

Co-Authors Abdussakir Abdussakir Abdussakir Abdussakir Ade Novia Rahma Agustian` Agustian` Agustiawan Agus Ahmad Ahmad Faizal Aryati Citra Asyura Nurislam, Asyura Aulia Arjuna Nugraha Bella Safira Dewi Hariati Elfira Safitri Elviyenti, Mona Era Napra Tilopa Sihombing fitri aryani Fitri Aryani Helsi vianingsih Herawati Herawati Ihza, Mayang Nurul Irma Suryani Irma Suryani Jauza, Siti Mardhiyah Junitis Afmilda Kartika Swandayani Laraza Laraza Lolyta Yudianti Marhulam Marhulam Maysarah ulfa Mila Sari Milla Lestari Milla Lestari Mona Elviyenti Muhammad Rivai Mulyono Mulyono Nanda Putri Miefthawati Novi Hasmita Nurul Husna Oriza Sandriani Puspita, Dian Ayu Putra Nanda Rahel Edrian Rahmadeni Rahmadeni Rahmawati Rahmawati Rahmawati Rahmawati, Rahmawati Resi Arisanti Riana Riandari Rio Andesta Rudy Kurniawan Rudy Kurniawan Shintya Putri Alfianov Putri Alfianov Alfianov Sri . Handayani Sri Basriati Sri Handayani Susiyanti Susiyanti Tiara Fitri Utami, Aminah Wati, Fitri Ambar wibowo, sundari Wulanda, Velyn Yulia Rosita Yuliana Yuliana Yuri Febrinanda Yuslenita Muda Yuslenita Muda Yuslenita Muda Yuslenita Muda yuslenita muda Yusnita Sari Zukrianto, Zukrianto Zulfa Hasanah

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