Pub Date : 2021-08-05DOI: 10.24198/jmi.v17.n1.32820.51-61
R. Rahmawati, Dyan Elvita Sari, Ade Novia Rahma, M. Soleh
Perubahan cuaca yang tidak menentu menjadikan cuaca tidak dapat diperkirakan kondisinya di masa yang akan datang. Perubahan cuaca ini juga bergantung pada curah hujan. Pada perkebunan seperti perkebunan kelapa sawit cuaca mempengaruhi banyak aspek salah satunya adalah produktivitas buah kelapa sawit. Sehingga yang diperlukan dalam hal ini adalah peramalan. Peramalan merupakan suatu kegiatan untuk meramalkan apa yang terjadi di masa depan dengan metode tertentu. Metode fuzzy time series dikenal sebagai kecerdasan buatan yang digunakan untuk memprediksi masalah dimana data aktual dibentuk dalam nilai-nilai linguistik menggunakan prinsip fuzzy sebagai dasarnya. Penelitian ini membahas tentang metode fuzzy time series yang dikembangkan oleh Ruey Chyn Tsaur untuk memprediksi curah hujan di PPKS Bukit Sentang, Sumatera Utara. Perkiraan curah hujan berdasarkan data Januari 2017 sampai dengan Desember 2020 untuk prediksi tahun 2021. Peramalan ini memiliki nilai MAPE 0,37% atau memiliki presisi perkiraan 99,63%. Hasil penelitian ini menunjukkan bahwa metode Fuzzy Time Series Ruey Chyn Tsaur memiliki tingkat akurasi yang sangat baik untuk memprediksi curah hujan.
{"title":"Prediksi Curah Hujan di PPKS Bukit Sentang Dengan Menggunakan Fuzzy Time Series Ruey Chyn Tsaur","authors":"R. Rahmawati, Dyan Elvita Sari, Ade Novia Rahma, M. Soleh","doi":"10.24198/jmi.v17.n1.32820.51-61","DOIUrl":"https://doi.org/10.24198/jmi.v17.n1.32820.51-61","url":null,"abstract":"Perubahan cuaca yang tidak menentu menjadikan cuaca tidak dapat diperkirakan kondisinya di masa yang akan datang. Perubahan cuaca ini juga bergantung pada curah hujan. Pada perkebunan seperti perkebunan kelapa sawit cuaca mempengaruhi banyak aspek salah satunya adalah produktivitas buah kelapa sawit. Sehingga yang diperlukan dalam hal ini adalah peramalan. Peramalan merupakan suatu kegiatan untuk meramalkan apa yang terjadi di masa depan dengan metode tertentu. Metode fuzzy time series dikenal sebagai kecerdasan buatan yang digunakan untuk memprediksi masalah dimana data aktual dibentuk dalam nilai-nilai linguistik menggunakan prinsip fuzzy sebagai dasarnya. Penelitian ini membahas tentang metode fuzzy time series yang dikembangkan oleh Ruey Chyn Tsaur untuk memprediksi curah hujan di PPKS Bukit Sentang, Sumatera Utara. Perkiraan curah hujan berdasarkan data Januari 2017 sampai dengan Desember 2020 untuk prediksi tahun 2021. Peramalan ini memiliki nilai MAPE 0,37% atau memiliki presisi perkiraan 99,63%. Hasil penelitian ini menunjukkan bahwa metode Fuzzy Time Series Ruey Chyn Tsaur memiliki tingkat akurasi yang sangat baik untuk memprediksi curah hujan.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44535308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-05DOI: 10.24198/jmi.v17.n1.31528.43-49
Naelufa Syifna Wifaqotul Muna, Uha Isnaini
{"title":"Bukti Alternatif Beberapa Fungsi Pembangkit pada Partisi dengan Penjumlah Ditandai","authors":"Naelufa Syifna Wifaqotul Muna, Uha Isnaini","doi":"10.24198/jmi.v17.n1.31528.43-49","DOIUrl":"https://doi.org/10.24198/jmi.v17.n1.31528.43-49","url":null,"abstract":"","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43277201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-05DOI: 10.24198/jmi.v17.n1.32024.23-31
Widdya Rahmalina
Padang city has been in the red zone (high risk) and orange zone (medium risk) against the transmission of the COVID-19 virus for several months. This is due to the lack of community discipline in complying with health protocols. The existence of the Andalas University Hospital Laboratory in Padang City which has the tools to issue the SWAB test results also results in data being obtained very quickly and data collection is more accurate. To predict the number of new cases of COVID-19 patients research on forecasting is necessary. One method that can be used is the Seasonal Autoregressive Integrated Moving Average method or abbreviated as SARIMA. This method was chosen because the data shows a weekly seasonal pattern. The data used are daily data from 2 August 2020 to 6 January 2021 obtained from the Padang City Health Office. The results showed that the SARIMA (011) (011) 7 model is the best model with parameter estimates that are significantly different from zero so that it fulfills the white noise assumption with a Means Squared Error value of 3.46731. Forecasting results for the next month show that cases of COVID-19 patients are still fluctuating ranging from 20 to 66 people. For this reason, efforts from the local government of the City of Padang are needed in disciplining the community so that the conditions of Padang City can immediately turn into a green (safe) zone from COVID-19.
{"title":"Pemodelan Seasonal Autoregressive Integrated Moving Average Untuk Memprediksi Jumlah Kasus Covid-19 di Padang","authors":"Widdya Rahmalina","doi":"10.24198/jmi.v17.n1.32024.23-31","DOIUrl":"https://doi.org/10.24198/jmi.v17.n1.32024.23-31","url":null,"abstract":"Padang city has been in the red zone (high risk) and orange zone (medium risk) against the transmission of the COVID-19 virus for several months. This is due to the lack of community discipline in complying with health protocols. The existence of the Andalas University Hospital Laboratory in Padang City which has the tools to issue the SWAB test results also results in data being obtained very quickly and data collection is more accurate. To predict the number of new cases of COVID-19 patients research on forecasting is necessary. One method that can be used is the Seasonal Autoregressive Integrated Moving Average method or abbreviated as SARIMA. This method was chosen because the data shows a weekly seasonal pattern. The data used are daily data from 2 August 2020 to 6 January 2021 obtained from the Padang City Health Office. The results showed that the SARIMA (011) (011) 7 model is the best model with parameter estimates that are significantly different from zero so that it fulfills the white noise assumption with a Means Squared Error value of 3.46731. Forecasting results for the next month show that cases of COVID-19 patients are still fluctuating ranging from 20 to 66 people. For this reason, efforts from the local government of the City of Padang are needed in disciplining the community so that the conditions of Padang City can immediately turn into a green (safe) zone from COVID-19.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45851897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.24198/jmi.v17.n1.32003.33-42
Ayyubi Ahmad
A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T). A modification of block pulse functions and their integration operational matrix can be reduced to a linear upper triangular system. Then, the problem under study is transformed to a system of linear algebraic equations which can be used to obtain an approximate solution of linear Volterra-Fredholm integral equations. Furthermore, the rate of convergence is O(h) and error analysis of the proposed method are investigated. The results show that the approximate solutions have a good of efficiency and accuracy.
{"title":"Solving of Linear Volterra-Fredholm Integral Equations via Modification of Block Pulse Functions","authors":"Ayyubi Ahmad","doi":"10.24198/jmi.v17.n1.32003.33-42","DOIUrl":"https://doi.org/10.24198/jmi.v17.n1.32003.33-42","url":null,"abstract":"A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T). A modification of block pulse functions and their integration operational matrix can be reduced to a linear upper triangular system. Then, the problem under study is transformed to a system of linear algebraic equations which can be used to obtain an approximate solution of linear Volterra-Fredholm integral equations. Furthermore, the rate of convergence is O(h) and error analysis of the proposed method are investigated. The results show that the approximate solutions have a good of efficiency and accuracy.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69269018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-05DOI: 10.24198/jmi.v16.n2.29293.151-157
N. Nurhamidah, Nusyirwan Nusyirwan, A. Faisol
The purpose of this study was to predict seasonal time series data using the Holt-Winters exponential smoothing additive model. The data used in this study is data on the number of passengers departing at Hasanudin Airport in 2009-2019, the source of the data obtained from the official website of the Central Statistics Agency. The results showed that the Holt-Winters exponential smoothing method on the passenger's number at Hasanudin Airport in 2009 to 2019 contained trend patterns and seasonal patterns, by first determining the initial values and smoothing parameters that could minimize forecasting errors.
{"title":"FORECASTING SEASONAL TIME SERIES DATA USING THE HOLT-WINTERS EXPONENTIAL SMOOTHING METHOD OF ADDITIVE MODELS","authors":"N. Nurhamidah, Nusyirwan Nusyirwan, A. Faisol","doi":"10.24198/jmi.v16.n2.29293.151-157","DOIUrl":"https://doi.org/10.24198/jmi.v16.n2.29293.151-157","url":null,"abstract":"The purpose of this study was to predict seasonal time series data using the Holt-Winters exponential smoothing additive model. The data used in this study is data on the number of passengers departing at Hasanudin Airport in 2009-2019, the source of the data obtained from the official website of the Central Statistics Agency. The results showed that the Holt-Winters exponential smoothing method on the passenger's number at Hasanudin Airport in 2009 to 2019 contained trend patterns and seasonal patterns, by first determining the initial values and smoothing parameters that could minimize forecasting errors.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45100522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-19DOI: 10.24198/JMI.V10.N1.10181.19-24
Firdaniza Firdaniza, Jondri Jondri
Prediksi trend pergerakan harga saham sangatlah dibutuhkan untuk meningkatkan potensi keuntungan sekaligus mengurang kemungkinan rugi. Berbagai metode telah digunakan untuk memprediksi trend pergerakan harga saham. Pada paper ini, dibahas metode Hidden Markov Model (HMM) dan Support Vector Machine (SVM) sebagai alat untuk memprediksi trend naik turunnya harga close Indeks LQ45. Akurasi prediksi dengan HMM sebesar 50,98%, sementara dengan SVM sebesar 55,56%.
{"title":"Prediksi Trend Pergerakan Harga Saham dengan Hidden Markov Model (HMM) dan Support Vector Machine (SVM)","authors":"Firdaniza Firdaniza, Jondri Jondri","doi":"10.24198/JMI.V10.N1.10181.19-24","DOIUrl":"https://doi.org/10.24198/JMI.V10.N1.10181.19-24","url":null,"abstract":"Prediksi trend pergerakan harga saham sangatlah dibutuhkan untuk meningkatkan potensi keuntungan sekaligus mengurang kemungkinan rugi. Berbagai metode telah digunakan untuk memprediksi trend pergerakan harga saham. Pada paper ini, dibahas metode Hidden Markov Model (HMM) dan Support Vector Machine (SVM) sebagai alat untuk memprediksi trend naik turunnya harga close Indeks LQ45. Akurasi prediksi dengan HMM sebesar 50,98%, sementara dengan SVM sebesar 55,56%.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43449454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-19DOI: 10.24198/JMI.V10.N1.10180.9-18
Bib Paruhum Sialalahi
Metode titik interior adalah suatu metode dengan waktu polinomial dalam menyelesaikan masalah optimisasi linear. Metode titik interior sering menggunakan central path sebagai panduan menuju solusi optimalnya. Pada paper ini diberikan suatu teorema yang menyatakan bahwasanya kendala redundan dapat mengubah pusat analitik central path yang sekaligus mengubah central path. Dengan bantuan teorema ini ditampilkan suatu kasus dimana metode titik interior berunjuk kerja buruk dengan adanya kendala redundan. Kemudian disajikan suatu masalah optimisasi linear yang memiliki central path dengan pola zigzag. Pola zigzag pada central path juga mengakibatkan metode titik interior bekerja lebih lama dalam menuju solusi optimal.
{"title":"Kasus-kasus Buruk Penggunaan Metode Titik Interior pada Optimisasi Linear","authors":"Bib Paruhum Sialalahi","doi":"10.24198/JMI.V10.N1.10180.9-18","DOIUrl":"https://doi.org/10.24198/JMI.V10.N1.10180.9-18","url":null,"abstract":"Metode titik interior adalah suatu metode dengan waktu polinomial dalam menyelesaikan masalah optimisasi linear. Metode titik interior sering menggunakan central path sebagai panduan menuju solusi optimalnya. Pada paper ini diberikan suatu teorema yang menyatakan bahwasanya kendala redundan dapat mengubah pusat analitik central path yang sekaligus mengubah central path. Dengan bantuan teorema ini ditampilkan suatu kasus dimana metode titik interior berunjuk kerja buruk dengan adanya kendala redundan. Kemudian disajikan suatu masalah optimisasi linear yang memiliki central path dengan pola zigzag. Pola zigzag pada central path juga mengakibatkan metode titik interior bekerja lebih lama dalam menuju solusi optimal.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46907823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-05DOI: 10.24198/jmi.v16i1.26646
I. Aisah, E. Djauhari, Asep Singgih
The standard genetic code consist of four nucleotide bases which encode genes to produce amino acids needed by living things. The addition of new base (Dummy) causes a sequence of bases to become five nucleotide bases called ancient genetic codes. The five base set is denoted by , where B forms group through matching , , , , and from set . Ancient genetic codes can be reviewed as algebraic structures as a vector spaces and other structures as symmetry groups. In this article, discussed the properties of symmetry groups from ancient genetic codes that will produce dihedral groups. The study began by constructing an expanded nucleotide base isomorphism with . The presence of base causes to have a cardinality of 24, denoted as with . isomorphic with which is denoted by . Group had three clasess of partitions based on strong-weak, purin-pyrimidin types, and amino-keto nucleotide groups which are denoted as , , and . All three classes are subgroups of . By using the rules of rotation and reflection in the four-side plane, it was found that only one group fulfilled the rule was named the dihedral group. Keywords: ancient genetic code, group, subgroup, permutation, symmetry group , dihedral group.
{"title":"Dihedral Group in The Ancient Genetic","authors":"I. Aisah, E. Djauhari, Asep Singgih","doi":"10.24198/jmi.v16i1.26646","DOIUrl":"https://doi.org/10.24198/jmi.v16i1.26646","url":null,"abstract":"The standard genetic code consist of four nucleotide bases which encode genes to produce amino acids needed by living things. The addition of new base (Dummy) causes a sequence of bases to become five nucleotide bases called ancient genetic codes. The five base set is denoted by , where B forms group through matching , , , , and from set . Ancient genetic codes can be reviewed as algebraic structures as a vector spaces and other structures as symmetry groups. In this article, discussed the properties of symmetry groups from ancient genetic codes that will produce dihedral groups. The study began by constructing an expanded nucleotide base isomorphism with . The presence of base causes to have a cardinality of 24, denoted as with . isomorphic with which is denoted by . Group had three clasess of partitions based on strong-weak, purin-pyrimidin types, and amino-keto nucleotide groups which are denoted as , , and . All three classes are subgroups of . By using the rules of rotation and reflection in the four-side plane, it was found that only one group fulfilled the rule was named the dihedral group. Keywords: ancient genetic code, group, subgroup, permutation, symmetry group , dihedral group.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44379636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-05DOI: 10.24198/jmi.v16i1.27804
Saiful Rohman, L. Zakaria, Asmiati Asmiati, Aang Nuryaman
Optimization is the process to get the minimum or maximum value of a function, opportunity. One of the problems involving the optimization process is Travelling Salesman Problem (TSP). The TSP case study discussed in this research is related to the problem of distribution of goods conducted by PT. Pos Indonesia in Bandar Lampung city. Some of the issues in question include delays in delivery of goods, less satisfaction in post Office services, a route to distribute complex goods and others. The resolution of the problem encountered by PT. Pos Indonesia by using the TSP concept in question can be solved by method of genetic algorithm (the search algorithm is based on natural selection mechanism and biological evolution). The use of the genetic algorithm method in resolving the problems discussed gives results that to achieve the optimal position of the testing process using the order crossover and inversion mutation need to be done repeating the process 8 times from 10 retry attempts (80%).
{"title":"Optimisasi Travelling Salesman Problem dengan Algoritma Genetika pada Kasus Pendistribusian Barang PT. Pos Indonesia di Kota Bandar Lampung","authors":"Saiful Rohman, L. Zakaria, Asmiati Asmiati, Aang Nuryaman","doi":"10.24198/jmi.v16i1.27804","DOIUrl":"https://doi.org/10.24198/jmi.v16i1.27804","url":null,"abstract":"Optimization is the process to get the minimum or maximum value of a function, opportunity. One of the problems involving the optimization process is Travelling Salesman Problem (TSP). The TSP case study discussed in this research is related to the problem of distribution of goods conducted by PT. Pos Indonesia in Bandar Lampung city. Some of the issues in question include delays in delivery of goods, less satisfaction in post Office services, a route to distribute complex goods and others. The resolution of the problem encountered by PT. Pos Indonesia by using the TSP concept in question can be solved by method of genetic algorithm (the search algorithm is based on natural selection mechanism and biological evolution). The use of the genetic algorithm method in resolving the problems discussed gives results that to achieve the optimal position of the testing process using the order crossover and inversion mutation need to be done repeating the process 8 times from 10 retry attempts (80%).","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44987410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-05DOI: 10.24198/JMI.V10.N1.10186.63-68
E. Kurniadi
Dualitas antara grup bebas dan grup divisible memotivasi munculnya konsep dual terhadap grup yang dibangun secara hingga. Suatu sistem L dari unsur-unsur grup A dikatakan sistem cogenerator jika untuk setiap grup B, setiap homomorfisma f dari A ke B sedemikian sehingga
{"title":"Tinjauan Terhadap Grup Cogenerated secara Hingga","authors":"E. Kurniadi","doi":"10.24198/JMI.V10.N1.10186.63-68","DOIUrl":"https://doi.org/10.24198/JMI.V10.N1.10186.63-68","url":null,"abstract":"Dualitas antara grup bebas dan grup divisible memotivasi munculnya konsep dual terhadap grup yang dibangun secara hingga. Suatu sistem L dari unsur-unsur grup A dikatakan sistem cogenerator jika untuk setiap grup B, setiap homomorfisma f dari A ke B sedemikian sehingga","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45843639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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