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S Siswanto

Fakultas Ekonomi Universitas Islam Negeri (UIN) Maulana Malaki Ibrahim Malang

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Characteristic Min-Polynomial and Eigen Problem of a Matrix over Min-Plus Algebra Maghribi, Sahmura Maula Al; Siswanto, Siswanto; Sutrima, Sutrima
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16498

Let R_ε=R∪{-∞}, with R being a set of all real numbers. The algebraic structure (R_ε,⊕,⊗) is called max-plus algebra. The task of finding the eigenvalue and eigenvector is called the eigenproblem. There are several methods developed to solve the eigenproblem of A∈R_ε^(n×n), one of them is by using the characteristic max-polynomial. There is another algebraic structure that is isomorphic with max-plus algebra, namely min-plus algebra. Min-plus algebra is a set of R_(ε^' )=R∪{+∞} that uses minimum (⊕^' ) and addition (⊗) operations. The eigenproblem in min-plus algebra is to determine λ∈R_(ε^' ) and v∈R_(ε^')^n such that A⊗v=λ⊗v. In this paper, we provide a method for determining the characteristic min-polynomial and solving the eigenproblem by using the characteristic min-polynomial. We show that the characteristic min-polynomial of A∈R_(ε^')^(n×n) is the permanent of I⊗x⊕^' A, the smallest corner of χ_A (x) is the principal eigenvalue (λ(A)), and the columns of A_λ^+ with zero diagonal elements are eigenvectors corresponding to the principal eigenvalue.

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra Rahmawati, Anita Dwi; Siswanto, Siswanto; Wibowo, Supriyadi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.22305

A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix. Min-plus algebra can be extended to an interval min-plus algebra, which is a set 〖 I(R)〗_ε' equipped with the operations ¯("⊕'" ) and ¯("⊗" ). Matrix over interval min-plus algebra has some special forms, one of which is a triangular matrix. The concept of characteristic polynomial and eigenproblem can be applied to a triangular matrix. There is a more concise formula for solving the eigenproblem of triangular matrix because this matrix is a special form of matrix. This research will discuss the characteristic polynomial and solving eigenproblem of triangular matrix over interval min-plus algebra using its characteristic polynomials. The research method used is a literature study. From the research results, the permanent formula and characteristic polynomial formula of the triangular matrix are obtained. It is also obtained that the smallest corner of the characteristic polynomial is the principal eigenvalue and the vector eigen corresponding to the principal eigenvalue can be obtained through the matrix A_λ. For readers who are interested in this topic, can research about characteristic polynomial and eigenproblem of matrices with other special forms over min-plus interval algebra.

Improving Creative Thinking Skills through Open-ended Problems in Mathematics Education in terms of Adversity Quotient (Types of Climbers and Campers) Sa'idah, Ulya; Budiyono, Budiyono; Siswanto, Siswanto; Usodo, Budi; Hendriyanto, Agus
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.21612

Creative thinking is one of the abilities that students must have. This research aims to explore creative thinking skills in solving open-ended problems in grade 7 students at a junior high school in Surakarta. This research uses a qualitative method. The instruments used are questionnaires, questions, and interviews. The test instrument uses one open-ended question on algebra material. The sampling method was carried out by purposive sampling where the subject was selected based on the results of the Adversity Response Profile (ARP) questionnaire score. The research subjects were 7th-grade students at one of Surakarta's private junior high schools who had studied algebraic form operations. Data were collected through tests and interviews with 4 research subjects. The data validity used was method triangulation. The results of the study show that all subjects can go through all stages of the creative thinking process although there are differences in each stage. In the preparation stage, climbers-type students do not need a long time to understand the problem. Unlike the campers, they take time to understand the problem by reading it repeatedly. At the incubation stage, students pause to look for ideas for solving the problem. At the illumination stage, students have different ways of solving the problem. At the verification stage, climbers-type students recalculate the answers written to check their correctness. While campers type students only skim the answers they write. Climbers-type students do not give up easily and do not experience difficulties in solving problems, while campers-type students take longer to understand the problem and almost give up in solving the problem. Based on the findings obtained, teachers need to consider the different types of students' creative thinking in designing class activities in order to improve students' creative thinking abilities through classroom learning.

Determining the Inverse of a Matrix over Min-Plus Algebra Siswanto, Siswanto; Gusmizain, Anggrina
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 1 (2024): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i1.17432

Linear algebra over the semiring R_ε with ⊗ (plus) and ⨁ (maximum) operations which is known as max-plus algebra. One of the isomorphic with this algebra is a min-plus algebra. Min-plus algebra that is the set R_(ε^' )=R∪{ε'}, with ⊗^' (plus) and ⨁' (minimum) operations. Given a matrix whose components are elements of R_(ε^' ) is called min-plus algebra matrices. Any matrix can be connected by an inverse. In conventional algebra, a square matrix is said an invertible matrix if the det⁡〖(A)〗≠0. In contrast to max-plus algebra, a matrix is said to have inverse condition if it meets certain conditions. Some concepts from the max-plus algebra can be transformed to the min-plus, because of their structural similarity. This means that the inverse matrix concept in max-plus can be constructed into a min-plus version. Thus, this study will explain the inverse of a matrix over the min-plus algebra, property of multiplying two invertible matrices, and connection between invertible matrix and linear mapping used the literature study method, with literature sources such as books, journals, articles, and theses. The data analysis technique used in this research is qualitative data analysis technique. Then, this article has a principal result that is matrix A∈R_(ε^')^(n×n) has a right inverse if and only if there are permutations of σ and the value of λ_i<ε', i∈{1,2,3,…,n} such that A=P_σ ⊗^' D(λ_i ) which is the inverse of matrices. Furthermore, if B is the correct inverse that satisfies A⊗^' B=E then B⊗^' A=E and B is uniquely determined by A.

Co-Authors 12.5202.0161 Daniel Yeri Kristiyanto A'yun, Vina Qorrotu AA Sudharmawan, AA Abdan Rahim, Abdan Abdia, Hikma ABDU RAHMAN BACO, ABDU RAHMAN Abdul Rouf Abdulloh, Najib Abdur Rahman Abimanyu, Iqbal Kresna Absor, Ulil Achmad Sani Supriyanto Achmad, Adang Darmawan Adawiyah, Robiyatul Ade Irma Ade Lenawati Adhel, Fadilah Amirul Adhi Wibowo, Gusti Ngurah Adi Yusuf Setiawan, Adi Yusuf Adiwena, Bartolomeus Yofana Adiyono Adnan Hendra, Adnan Adnyana, Ida Bagus Nararya Primastana Adri Supardi, Adri Afriadi, Deni Afriany, Evi Afrinaldi, Rolly Agastia, Praspati Agatha Saputri Agestiningrum, Restu Agil Nanggala Agung Warsito Agus Hermawan Agussyarif Hanafie Agustina, Hylda Putri Agustinus Budi Santoso Ahamed, Forbis Ahistasari, Asih Ahmad Djalaluddin Ahmad Muhlisin Ahmad Muktamar B Ahmad Saifudin, Ahmad Ahmad Zaki Mubarok, Ahmad Zaki Ainani, Muhammad Aisy, Maitsaa Rihhadatul Aisyah Tri Retno Ariadianti, Aisyah Tri Retno Aiu Viollani, Kity Akbar, Muhamad Tri Akhmad Azmiardi Akhmad Taufiq Akhmad, Bachruddin Ali Akhsan, Tiara Annisa Akirman, Akirman Akmal Djamaan Al Ahmadi, Khumairotul Zahroh Al Anshory, Fadhil Al Islami, Muhammad Fiqri Al-Mubdi, Muhammaad Abid Alaidrus, Salim Alam, Sohbat Alex Kurniawandy Alfajri, Novi Zain Alfarizi, Wawan Alfarizki, Aksal Alfaruq, Fahmi Fadhilah Alhajj, Irfan Qowwiyul Aziz Alhuda, Dinda Yusri Ali Muhson Alinse , Rizka Tri Alinse, Rizka Tri Aliyah, Fadilatul Aliza, Elsandia Nor Amali, Muhlas Amil, Sri Indriani Aminatun Aminatun Amir, Indra Tjahaya Amirul, M. Ardi Amirul, Muhamad Ardi Anam, Rifat Shafwatul Andi Anwar, Andi Andi Febriyanti Andi Hamim Zaidan Andi Kresna Jaya Andik Prakasa Hadi ANDRI KURNIAWAN Anggita Bunga Anggraini Anggraini, Alfina Dwi Anggraini, Syatia Duwi Angriany, A. Muthiah Nur Ani Widayati Anisa Rahmah Anna Islamiyati Annisa Indah Pratiwi Annisa Nurrachmawati Ansharullah ansharullah Apriana Apriana Apriani, Imelda Nur April Gunawan Malau Aprilia, Intan Bella Aprilinda, Tara Aprinsa, Roki Aravik, Havis Ardianto, Bagus Putra Arfan, Muh. Indirwan Arfandi, Muh Amri Ari Saputro Ari Saputro, Ari ARI SUPARWANTO Arif Hidayat Arif Qisthon Arif Rahman Hakim Arif, M D Arifah, Tutik Arifianto, Deny Arisandy, Poppy Arisanty, Poppy Arisona, Dian Christien Ariyanto, Novy Arman, Agym Nastiar Armanu Thoyib Arsana, I Putu Yogi Arsul, Muhamad Rizki Artania Adnin Tri Suma Arum Darmawati Ashidqy, Abdul Zalil Ashwad K, Hajratul Asis, Asis Asri Karolina, Asri Asrianti, Tanti Assabil, Fadli Fikri Assaiq, Muhammad Royhan Astuti, Wahyu Tri Atha, Nasruddin Atiana, Sari Atwa, Arie Aulia, Rahma Ayati, Nufasilul Ayubi, Rahman Tri Ayudhia Rachmawati Ayuningtyas, Tantri Raras Ayunisa, Dini Arifa Azhari, Fitri Azizah, Aryanti Nur B, Herman Badrawati, Kadek Susi Baharuddin, Jukri Bahroyni, Ahmad Bahrun Bahrun Bakti Wisnu Widjajani Bambang Subali Bambang Sujatmoko Barid, Miftah Baso, Andi M Alfin Basuki Hari Prasetyo Basundari Sri Utami Beti, Ila Yati Birawa, F R Buana Suhurdin Putra Buddy Riyanto Budi Sutrisna, Budi Budi Usodo Budiyono Budiyono Busroni, Busroni Caesar, Nadia Nazwadiah Cahya Fahrurozi, Anindhita Cahyanti, Putu Yunika Cahyo Yusuf cahyono, didik Chakim, M. Ghufron Chatarina Umbul Wahyuni Christine Wibhowo, Christine Colvin, Kathryn Dakhlan, A Dakhlan, Akhmad Danang, Danang Daniwijaya, M Edwin Widyanto Dany Elisa Victory, Dany Elisa Darmawan, Fahrudin Rizki Darmawan, Igeny Dwiana Darus, Umi Delima Delima Derajat, Derajat Deri Kusmadeni Desi Tri Utami, Desi Tri Desy Hajizah Dewantara, Anaz Bima Dewantari, Nuryunita Dewi Fortuna Ayu Dewi Purnama Sari Dewi, Amalia Kusuma Dewi, Yossie Kharisma Dharmawan, Dadi Dian Handayani Dian Normalitasari Purnama Dian Permana, Dian Dini Florina Dini Sofarini Djamaludin, Heder Djati Kusdiarto Djony Izak Rudyardjo Djony Izak, Djony Izak Domas Fitria Widyasari Dominikus Rato Dono Wahyuno DWI ANDREAS SANTOSA Dwi Aryanti Dwi Ori Herdianto, Dwi Ori Dwi Siswanto Dwijayanti Mutiara Sujaya, Sri Dwiyanti, Elsa Dzikri, Akhmad Dzulfikar Akbar Romadlon Edi Pornomo, Bambang Edi Yusuf Adiman Edwin Zusrony Edy Hariyadi Edy Supriyanto Edy Wibowo Efendi, Moch Efendi, Mutiara Putri Efriantho, Dodi Ega Trisna Rahayu Egytama, Muhammad Octavian Eka Ary Wibawa Eka Jevri Karnanda, Eka Jevri Eka Putri, Virny Zasyana Ekasari, Yustia Ekayanti, Ni Luh Ayu Eko Prasetyo Rohmawan Eko Risdianto Eko Suryana Elga, Chirstin Eli Susanti Eli Trisnowati Eliza, Veta Ellianawati, Ellianawati Ema Rachmawati Endang Sulastri Enggar Prastyo Eny Enawaty Erfan, Erfan Eris, Deden Dewantara Erjisun, Erjisun Erlambang, Yaumil Putri Ermiyati Ermiyati, Ermiyati Ernawati Ernawati Erniyani, Erniyani Erwanto Esthi Rahayu Esti Utarti Fabela, Erica Fadila, Hana Fahrur Rozi Fakhrezi, Muhammad Azriel Fakhruddin Fakhruddin Farida Fathul Farida Nurhasanah Fatchur Rohman Fatikhiah, Fina Al Fatmawati, Siti Tika Fauzi, Manyuk Fauzi, Muhammad Sukron Fauzi, Rian Azmal Fauzi, Rian Azmul Fauziyah, Ridha Febri Yuliani Febriany, Arynika Febriyansar, Eri Ferdiansyah, Akbar Fernandi, Safi'i Filemon Filemon Firdaus, Indri K Firdaus, M. Rofiki Firmansyah, M. Hafiddin Firmanul Catur Wibowo Fitria, Nur Annisa Fitriani, Yessi Fitriyah, Fauziatul Foeh, Nancy Diana Fredricka , Jhoanne Fredricka, Jhoanne Fuad, Asril Furoidatul Husniah Galuh Rio Harto, Galuh Rio Ganewati Wuryandari, Ganewati Gata, Windu George Hardjanta Georgina Maria Tinungki Gibson Manalu Gunawan Gunawan Gunawan Pria Utama Gusmizain, Anggrina Gussamwang, Muhammad Habiahan, Renta Enjelina Habrio Ilva YR Hadi Siswoyo Halida Halida Halim, Donny HAPPY WIDIASTUTI Haq, Thariq Naufal Harahap, Hamdan Fauzi Hari Basuki Notobroto Hartono Hartono Harvey, Edwardo Haryanti, Novi Hasnah, Nur Hasriadi, Hasriadi Hastuti Kusreni, Hastuti Hasyim, Ammar Abdurrahman Haviki, Nando Hawari Nasution, M. Adlan Al Hendra Taufik Hendri Rasminto Hendriyanto, Agus Hendro Subagyo Henny, Stepanus Herdhata Agusta Hermilinda Parera Herning Suryo Heru S.P. Saputra Heryenzus, Heryenzus Heryono, Firman Huda, Muchamad Samsul I Ketut Sumadi Ida Ayu Putu Sri Widnyani Ida Bagus Komang Ardana Ida Bagus Windia Adnyana Ida Rianawaty Idi Warsah Ifroh, Riza Hayati Ike Anggraeni Ikrar Pramudya, Ikrar Ilham, Mochamad Imaliya, Tri Imam Sapuan Imron Imron, Imron Inayah, Ika Indra Kanedi Indriana, Nining Indriani, Alya Iqbal, Roihan Mohamad Ircham Robbaq Azwar, Ircham Robbaq Irfansyah Baharuddin Pakki Irma Megawati, Irma Irma Mustika Sari Irwan Fathurrochman, Irwan Irwan Irwan Iskandar Iskandar Isnan Murdiansyah Iswandi Anas Chaniago, Iswandi Anas Iwan Harjono Utama Iwan Kurniawan Izzah Fadhilah Akmaliah Jamal, Rini Jan Ady Jayana, Thoriq Aziz Jazimatussoimah, Jazimatussoimah Juandita, Karina Natasya Juhana, Juhana Julaekha, Siti Julianto, Rahmat Juliswan, Arif Julyani, Dahliya Jumadi Jumadi Jumaini, Nuriska Junico, Vallery Ofelia K.F, Ayu Tifani Kadir, Yolanda Kahar Muzakhar Kalbuadi, Donny Nugroho Kalondeng, Anisa Kamba, Ismail Karami, Citra Kartika, Nanda Ajeng Kasa, Annuar Ramadhon Kayatun, Siti Nur Khabib Mustofa Khairil Khairil Khasanah, Usfatun Khidir, Muhammad Khoeir, Muhammad Irsyad Sirojul Khoirun Nisa, Rizqy Kholifah, Nor Khusnudin Khusnudin, Khusnudin Kiranti, Gabrilia Kiswari, Lusida kodirin, kodirin Koko, Betri Kondy, Evlyn Pricilia Krisna Ananta, Kevin Krisnita Dwi Jayanti, Krisnita Dwi Kumala Sari, Yunita Kumelasri, Nanti Kuncoro, Wreda Agung Kurniadi, Moch Danu Kurniasih, Dede Dwi Kurniawansyah, Arius Satoni Kurniawati Meylianingrum Kusuma Adhianto Kusuma, Anton Thista Kusumaningtyas, AD Kusumo, Haryo Kwartama, Agung Labanni, Arniati Labora, Muhammad Fahrur Razi Benduk Bin Laili, Nurus Sahari Larasati, Dwi Ina Larasati, Hindun Lemido, Ryo Lena Elfianty Leni Natalia Zulita Lestari, Ade Febrina Lilis Yuliati Liman Liman, Liman Lita Darmayanti Lovina, Fitri Lubis, Barata Sultan Lucie Widowati Luktyansyah, Insyiah Meida Luluk Fitriana Lusiana, Ayu Nita M. Andy Rudhito M. Anif M. Sukarno M.Anif Maâ€™rufah, Fitri Setya Mabrur, Azas Madi Hartono Maemonah, Maemonah Maghribi, Sahmura Maula Al Magriyanti, Arie Atwa Maharani Ekowati, Vivin Mahendra Adhi Nugroho Maisaroh, Siti Maisaroh Siti Malik, Shazia manihar Situmorang, manihar Manora, Hecsa Manullang, Octa Ida Marasabessy, Masaalah Marcello Putra Hardani, Iqbal Mardani Mardani Mardani Sebayang Mardaniah, Mardaniah Marhamah, Emah Maria Helena Maridi Maridi Marinu Waruwu Mariska, Refi Mariyani, Anna Marjono Marjono Marleno, Risma Marliana, Nana Martin, Ade Mustika Maryaningsih, Maryaningsih Maryono Maryono Masita, Yeti Maspah, Maspah Masruroh1,2, Ah Yusuf3 , Nikmatur Rohmah4, Irfansyah Baharudin Pakki5 , Anita Dewi Prahastuti Prasojo6 , Qurnia Andayani1 , *Agung Dwi Laksono7 Masturi Masturi Masyhuri Mahfudz, Masyhuri Masyhuri Masyhuri Maulan, Puteri Anindya Maulana Irfani, Muhamad Irfan Maulida, Eva Indah Maulinda, Riska Maya Sekar Wangi Maya Utami Dewi, Maya Utami Maylani, Dita Asri Ma’rifatin, Ma’rifatin Medriati, Rosane Mei Fita Asri Untari Meiryani, Meiryani Melani, Pipit Merinda Noorma Novida Siregar‬ Mesterjon, Mesterjon Miftah Hur Rahman Zh Miftahul Ulum Migi, Migi Migunani Migunani Milna Wafirah Milzam, Mardas Miolo, Alya Safira Irtiqa Miru, Christiani Natasya Misto Misto Moch. Malik Al Firdaus Mohammad Lutfi Mohammad Muchlis Solichin Mohd Anuar Ramli Mohd Farhan Md Ariffin, Mohd Farhan Mubarok, Achmad Ibnu Mubarok, Muhammad Alwi Mudjiatko, Mudjiatko Mufidah, Ummi Muh Ade Artasasta Muh Amri Arfandi Muhamad Rafiansyah Siregar, Valdi Muhamad Sholikhun Muhammad Abdul Aziz Muhammad Agus Muljanto Muhammad Amin Muhammad Anif Muhammad Fadil Muhammad Fariz Al'Fattah Muhammad Ferdiansyah, Muhammad Muhammad Hikam, Muhammad Muhammad Idris Muhammad Mirandy Pratama Sirat Muhammad Muchlish Huda, Muhammad Muchlish Muhammad Mury Syafei Muhammad Rivai Muhammad Walid Muhammad Yusran Muhtaruddin, Muhtaruddin Muhtarudin Muhtarudin Mujahidin, Esa Akhmad Mukhamad Najib Mukhlissul Faatih mulia sari, silvia ananda Mulyadi, Taufik Muna, Nailatul Munawwaroh, Alda Gemellia Mundofi, Ahmad Asron Murniani, Murniani Murniyanto Murniyanto, Murniyanto Mursida Mursida, Mursida Mursudarinah Mursudarinah Murti, Fajar Wisnu Murti, Fitri Nura Musa, Bulkis Muslikatun, Muslikatun Mustaqim, Rachmad Mustikawati, Farida Mustofa Mustofa Muthmainna, Alifah muzammil, muhammad Mwakapemba, James Leonard Naheria, Naheria Nailah, Fadia Naim, Tanti Asrianti Nalle, Carles Yerid Absalom Nanik Wahyuni ‎ Nanto Sriyanto, Nanto Narendro, Arsanto Naryaningsih, Agustien Nasrukhah, Umy Nastiti, Haswa Aulia Nelfita, Yulia Nenden Susilowati Niken Purnamasari Nikmah, Firda Nilam Sari, Fatma Nindy Nurhalizah Ningrum, Indah Septiya Ningrum, Ririn Tri Puspita Nirwan Ilyas Nislawati, Ade Nopitasari, Nopitasari Novalia Novalia Novi Rahmawati Novie Susanto Ns. Diana Dayaningsih Nughthoh Arfawi Kurdhi, Nughthoh Arfawi Nugraha, Nabila Dwi Putri Nugraha, R. Andro Ziliyo Nugroho Arif Sudibyo Nugroho Sasongko Jati, Nugroho Sasongko Nugroho, Aris Sarwo Nugroho, Setio Nugroho, Wahyu Satrio Nunuk Hariani Soekamto Nunuk Sri Muktiati Nur Afifah, Wuri Nur Aini Nur Ainun Nabilah, Kharisya Nur Asnawi Nur Khoiriyah Nur Laila Meilani Nur Setiati, Farida Nur Wahid, Agus Nuraini Asriati Nurdin, Afifah Mutiah Nurfaiza, Sri Maya Nurfajriani, Nurfajriani Nurhaliza, Nurhaliza Nurhamzah, Riani Dwi Nurhayati Nurhayati Nurhidayah Nurhidayah Nurhijriah, Nurhijriah Nuril Ukhrowiyah Nurlaela Muna Nurmana, Ayyub Hamdanu Budi Nurnawati NURTITI SUNUSI NURUL AZIZAH Nuryunita Dewantari Ocvanirista, Reza Deri Oeryana Agustin Widayanti Oetomo, Wateno Oktavia, Gumi Oktaviani, Ines Nathasia Pane, Majid Karim Panggabean, Anastasya Panggabean, Hendrix SB Pardiman Pardiman Periady, Effri Permady, Gigieh Cahya Permana, Anggit Permana, Dede Permatasari, Ulfa Prabandari, Radha Sita Pradana, Mahera Iman Pradani, Estri Aditya PRAKOSO, Haryo Tejo Pramuwardani, Nur Fitri Dwi PRANANDA, ADHIYAKSA Prasetyo, Basuki Hari Pratama, Asyraf Muntasir Pratama, Edo Dwi Pratama, Maulana Yoga Pratama, Ridho Agung Pratiwi, Aprilia Pratiwi, Fennysa Indrilla Prilanita, Yeni Nur Priyadi Priyadi Priyono Priyono Purba, Hindra Adi Putra Purbasari , Dita Anggi Purnama Edy Santosa Purnamasari, Nurlaili Purnomo Edi Sasongko Purwanto Purwanto Puspita Ningrum, Olivia Puspita, Tina Putra, Alfis Putra, Muhamad Yuanda Putra, Rio Marenda Eka Putranto Hadi Utomo Putri, Cahya Dwi Putri, Famelga Clea Putri, Sherlly Oktavia Dwi Putri, Zakia Nur Ramadhani Qosidah, Nanik Qotadah, Hudzaifah Achmad Qutrotu'ain, Salsabila Rabbani, R N Raden Sutiadi RADIYANTO, INDRIYA Radyawanto, Aris Setyo Rahayu, Eka Widia Rahayu, Indah Tri Rahayuningrum, Lina Madyastuti Rahim, Rahmiati Rahimah, Amelia Rahimah, Hafilah Najwati Rahman, Adenarsy Avereus Rahman, Ashari Rahmat Hidayat Rahmat, Hasbur Rahmawati, Anita Dwi Rahmayanti, Desy Anugerah Raihan, M Nasyid Nasril Ramadhan, Mario Surya Ramadhan, Muhammad Abdi Ramadhan, Surya Ramadhani, Nur Aliah Ramlan Silaban Randhi Saily Rangga Saputra, Hanip Rasena, Henda Ageng Rasyid, Herlina Rasyid, Sani Hadiyan Ratna Ermawati Raupong, Raupong Ref’ati, Ruvi Rejeki, Suprapti Reni Veliyanti Reza Saputra, Reza Rezki, Nurul Rhama Nurwansyah Sumarsono Rian Hidayat Rian Trikomara Iriana Ridwan, Agung Laksono Riefky Sungkar Rifai, Fuad Yanuar Akhmad Riftyan, Emma Rikza, Abdullah Rina Rahayu Rina Rahayu, Rina Rina Tri Agustini Rinaldi Rinaldi Rinjani, Nadinda Khoirunnisa Puri Ririn Arianti, Ririn Risdayanti, Rikha Nur Risva, Risva Riva Ismawati, Riva Rivai, Mahfud Riyadi Riyadi Rizka Fiani Prabaningtyas, Rizka Fiani Rizqi Ilyasa Aghni Rizqi, Achmad Maulana Robbani, M. Akbar Maulana Robiatul Adawiyah Rochman, Mochammad Nurur Rofi’i, Imam Rohayanti, Rohayanti Rohman, Alif Nur Rohmat, Muhamad Syahrul Rohmawan, Eko Prasetiyo Rokhmawati, Ilma Eka Nur Rosmala Dewi Rosnawati Rosnawati, Rosnawati RR. Ella Evrita Hestiandari Rubiyo Rubiyo Ruli Astuti Rusminah Rusminah, Rusminah Sa'idah, Ulya Sabirin, Rahmaningsih Mara Saefurrohim, Muhamad Zakki Safuri Musa Sagala, Yollanda Natalia Sahlan Sahlan Saiful Hadi Saimroh, Saimroh Sakila, Fanya Putri Salsabilah, Dwi Putri Samian Samsuddin Samsuddin Sandi, Kurnia Sandika, Fijai Dea Sanjaya, Arta Santoso Budi Wiyono sapri sapri Saputra R, Edy Saputra, I Putu Yogi Saputra, Mahmud Yoga Saputra, Naldia Defa Saputri, Amelia Indah Saputri, Meidhea Reforma Saputri, Rhica Dhea Sari, Astari Pranindya Sari, Chintya Komala Sarjuni, Muhammad Sarwani Sarwani, Sarwani Sattya Arimurti Saturdayana, Made Sazena, Mayang Sa’adah, Haqiqotus Sekar Tuti Sekarningtias, Felia Oktaviana Selawa, Anastasia Vianna Sendi, Okni Aisa Mutiara Sepriani, Nilfi Septiani, Marini Septianisa, Septianisa Septiany, Ade Safira Setiani Setiani, Setiani Setiati, Farida Nur Setiawan, Fani Setio, S Setio, Slamet Setiyowati, Ririn Setyo Budi Santoso Sheila, Aldhea Siddik, A. Muh. Amil Simanjuntak, Valentino Singgih, Suwito Sirat, M M P Siregar, Valdi Muhamad Rafiansyah Siregar, Valdi Muhammad Rafiansyah Sismanto Sismanto Siti Aminah SITI KHOLIFAH Sitti Sahriman Soediantono, Dwi Soekarno Mismana Putra, Soekarno Mismana Soesi Idayanti Soleh, Mohamad Soraya, Zulfatus Sri Andriani Sri Astuti Thamrin Sri Astuty Sri Haryati Sri Nurhayati Sri Suharyati Sri Wahyuni Sriyono Sriyono Subandi Subandi Subari, Adrianus Junaidi Sudi, Ahmad Sudiansyah, Sudiansyah Sudirman Sudirman Sugiarto S Sugiarto, Kurniawan Bagus Suhendar, Akip Sukatman Sukatman Sulastri Sulastri Sumali, Bambang Sumarni Sumarni Sumarno . Sumaryanto Sumaryanto, Sumaryanto Sumpono, Imam Sunarya, Adi Supadi Supadi Supanji Setyawan, Supanji Supardi, Reno Supono, Ihsan Suprayitno , Eko Supriadi, Candra Supriyadi Wibowo Supriyono Supriyono Suraini, Fiyeri Suranti, Dewi Suriatno, Tommy Surya Gumilar Susanti, Dewi Susi Susanti, Evy Tri Susanto, Rosya Mawaddah Susatyo Handoko Sutansyah, Sani Sutardi, Noercholish Madjid Sutarti Sutarti Sutikno, Sigit Sutirman Sutirman Sutisna Sutisna Sutoyo Sutoyo Sutoyo Sutoyo Sutrima Sutrima Sutrisno, Muhammad Adri Suwarni Suwarni Syah Putra, Andrian Ramadani Syahrio Tantalo Syahrir, Alam Syahrir, Nur Hilal A. SYAIFUL BAHRI Syamsul Arifin Syed Jaafar, Syed Mohd Jeffri Syifa, Nor Taher, Muhammad Tandiyo Rahayu Tarigan, Anjany Tasya Surabika Taufiq Akbar Tauristia Maydiana, Tauristia Teguh Supriyanto Teguh Wiyono Tiana, Murni Tini, Tini Titik Maslikatin TITING, TRI FEYBERIATIMALINI REBA Titis Miranti, Titis Toibah Umi Kalsum Tri Mulyono Tri Utami, Desi Tri Wibawa Tri Yulianto Tria, Lukis Trianna, Nurul Widji Trihono Trihono Trimaijon, Trimaijon Trimaijon, Trimaijon Tujianto, Akhmad TW Wisjhnuadji, TW Tyas, Inno Cahyaning Ulfah, Mailani Ulfitasari Ulqia, Nindy Umi Hidayati Ummu Fatimah Ria Lestari, Ummu Fatimah Ria Utama, Andiko Halim Utama, Fiqri Saputra Utama, Oktaviarum Slamet Utami, Puspa Indah Va, Hanny Sc Veithzal Rivai Zainal Veliyanti , Reni Vera Astuti, Vera Vika Yugi Kurniawan Vika Yugi Kurniawan Vivin Maharani Ekowati Wahyu Purwaningsih Wahyu, Syarifah Saptaning Wahyuna, Marisya Wandari, Eny Lastio Wanti Mindari Wardani, Maya Larasati Donna wati, Diyah Sela Wibowo, Rakhmat Ari Wicaksono, Ahmad Tibrizi Soni Wicaksono, Bagus Aji Wicaksono, Owen Arif Widayati, Niken Tri Widiyaningrum, Retno Ayu Widodo, Muji Wijaya, Altoma Wijaya, Ermy Wijaya, Kemal Wijaya, Roma Wijayanti, Novida Prima Wijayanti, Sherina Wildana, Rizki Winarsa, Rudju Windari, Era Nurisa Windi Atmaka, Windi Wirastuti, Fita Wiworo, Wening Wiyanto - Wulandana, Caecaria Septa Wulandari Wulandari Wuryanto Wuryanto Yani Jane Yani Prabowo Yanuar, Ahmad Ismed Yanwirasti Yanwirasti Yayuk Sri Rahayu Yeni Sulastri Yohanna Lilis H Yolanda Darnaningrum Yonatan Alex Arifianto yono, Hari Aspri Yoshinta, Rolisda Yudhistira, Guntur Januar Yudhiyati, Ratna Yulantomo, Aris Yuli Fitrianto Yulia Indah Puspitasari Yuliansah Yuliansah Yulianto Yulianto Yunita, Andi Isna Yupianti, Yupianti Yusiran Yusiran, Yusiran Yusmarini Yusmarini Yusni Maulida Yusuf Muhyiddin Yusuf, Mohammad Taufik Yusuf, Rozi Zahri N.A, Ach Zainal Abidin, Irwan Shah Zainuddin, Zaraswati Dwyana Zulfiandry, Ricky Zulfikar, Gilang

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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)