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All Journal Journal of the Indonesian Mathematical Society Journal of Mathematics and Mathematics Education (JMME) Indonesian Journal of Combinatorics Jurnal Matematika UNAND Mattawang: Jurnal Pengabdian Masyarakat Jurnal Diferensial Tensor: Pure and Applied Mathematics Journal J-Icon : Jurnal Komputer dan Informatika
Ganesha L Putra
Universitas Nusa Cendana
Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Public Health Social Sciences

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Learning Algebra through Mathmagic and Geometry by using Animations: Belajar Aljabar melalui Mathmagic dan Geometri menggunakan Animasi Pasangka, Irvandi Gorby; Pahnael, Jusrry Rosalina; Putra, Ganesha Lapenangga; Sugi, Yoseph
Mattawang: Jurnal Pengabdian Masyarakat Vol. 1 No. 2 (2020)
Publisher : Yayasan Ahmar Cendekia Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (565.256 KB) | DOI: 10.35877/454RI.mattawang228

Abstract

Mathematics is a basic science that need to be learned at the levels of elementary school, middle school and high school and even at the tertiary level. However, there are still many students who have difficulty in learning mathematics, this is evidenced by their low test scores, one of which is the mathematics test scores. Regarding to these problems, an activity was carried out with the aim of assisting students in understanding mathematics, specifically algebraic and geometric materials for junior high school students, by providing material as attractive as possible so that students become interested and motivated in learning mathematics. The provision of material was carried out in 3 sessions, namely: 1) Delivering algebraic material through mathmagic, 2) Delivering geometric material through animation, 3) Providing motivation about the importance of learning mathematics. Based on the results of this implementation, it can be found that the participants are able to understand and enjoy the learning process with the material presented by the teacher, this can be seen from the activities of the participants during the activity. Abstrak Matematika merupakan ilmu dasar yang wajib kita pelajari di tingkat SD, SMP, SMA bahkan perguruan tinggi, namun pada kenyataannya, siswa-siswi masih sulit dalam mempelajari matematika, ini dibuktikan dari rendahnya nilai ujian mereka, salah satunya nilai ujian nasional matematika. Berdasarkan masalah ini, kegiatan ini ditujukan untuk membantu siswa-siswi dalam memahami matematika khususnya materi aljabar dan geometri untuk siswa-siswi SMP, yaitu dengan cara memberikan materi semenarik mungkin sehingga para siswa menjadi suka dan termotivasi dalam belajar matematika. Pemberian materi dilakukan dalam 3 sesi yaitu: 1) Pemberian materi aljabar melalui mathmagic, 2) Pemberian materi geometri melalui animasi, 3) Pemberian motivasi tentang pentingnya belajar matematika. Berdasarkan hasil pelaksanaan yang dilakukan, dapat diketahui bahwa para peserta dapat menangkap dan menikmati proses pemberian materi yang diberikan, hal ini terlihat dari keaktifan para peserta selama kegiatan.
PELABELAN P2 ⊳ Cn AJAIB SUPER DARI GRAF Cm ⊳ Cn Gita N.A. Ginting; Jusrry R Pahnael; Ganesha Lapenangga Putra
JURNAL DIFERENSIAL Vol 2 No 2 (2020): November 2020
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v2i2.3769

Abstract

Misalkan dikatakan memuat selimut jika untuk setiap sisi dari termuat dalam suatu subgraf dari yang isomorfik terhadap . Selanjutnya graf yang memuat selimut- dikatakan -ajaib jika terdapat fungsi bijektif sehingga untuk setiap subgraf dari yang isomorfik terhadap berlaku , dengan adalah bilangan ajaib. Selanjutnya, graf disebut -ajaib super jika Misalkan graf dan adalah graf terhubung yang memuat sebagai titik dari graf . Hasil kali sisir antara graf dan , dinotasikan , merupakan graf yang diperoleh dengan mengambil satu salinan dari graf dan salinan sebanyak dari graf , kemudian menyatukan titik pada graf ke- dengan titik ke- pada graf . Pada skripsi ini diberikan konstruksi pelabelan ajaib super dari graf untuk ganjil, .
PELABELAN P_2⊳F_n AJAIB SUPER DARI GRAF S_m⊳F_n Ganesha Lapenangga Putra; Erika Feronika Simanungkalit
JURNAL DIFERENSIAL Vol 3 No 1 (2021): April 2021
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v3i1.4955

Abstract

Graf didefinisikan sebagai pasangan terurut himpunan titik dan sisi, dinotasikan dengan . Misalkan dan suatu graf. Hasil kali sisir antara graf dan , dinotasikan dengan , yaitu graf yang diperoleh dengan mengambil satu salinan graf dan salinan sebanyak dari graf dan mengidentifikasikan salinan ke- dari graf ke titik ke- pada graf . Misalkan suatu graf terhubung yang memuat selimut- . Suatu pelabelan -ajaib dari graf adalah suatu fungsi bijektif , sehingga , untuk semua subgraf yang isomorfik dengan dengan suatu konstanta. Selanjutnya, graf disebut -ajaib super jika . Pada jurnal ini, diberikan pelabelan ajaib super dari graf dengan metode multi himpunan seimbang.
GRAF PRIMA PADA RING Nurahmi Purnamasari -; Ganesha Lapenangga Putra; Keristina Br Ginting
JURNAL DIFERENSIAL Vol 3 No 2 (2021): November 2021
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v3i2.5305

Abstract

Graf prima pada ring yang dinotasikan dengan merupakan graf yang terdiri atas pasangan terurut (V,E) dimana himpunan sisinya adalah dan himpunan titiknya adalah . Untuk ring prima, maka merupakan graf bintang atau dapat pula dikatakan untuk bilangan prima, graf bintang. Selain mendefinisikan graf prima, pada tulisan ini akan dijelaskan karakteristik dari graf prima pada ring seperti bentuk graf jika adalah ring domain dengan , menjelaskan karakteristik misalkan adalah ring semiprima, maka juga merupakan ring prima dimana graf yang dibentuk adalah graf bintang yang juga merupakan graf pohon dan jika adalah graf pohon maka adalah ring prima, serta menentukan jumlah subgraf yang berbeda pada graf . Selanjutnya tulisan ini dapat dilanjutkan untuk melihat bentuk graf dan banyaknya segitiga pada ring dengan adalah sebarang bilangan bulat. Kata Kunci : Graf prima, ring prima, ring domain, ring semiprima, graf bintang
ESTIMASI PARAMETER DISTRIBUSI BINOMIAL NEGATIF MENGGUNAKAN METODE INFERENSI BAYESIAN Laura Erlinda Laidat; Keristina Br Ginting; Ganesha Lapenangga Putra
JURNAL DIFERENSIAL Vol 4 No 1 (2022): April 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i1.6130

Abstract

Parameter estimation is a form of inferential statistics. Parameter estimation consists of point parameter estimation and interval parameter estimation. In this study, point and interval parameter estimation of the Negative Binomial distribution will be carried out using the Bayes method. The Bayes method in this study utilizes the Beta distribution as the conjugate prior, the Uniform distribution as the non-conjugate prior, and the Jeffrey method as the non-informative prior. To evaluate the best estimator, the method used is to look at the smallest value of the posterior variance and the width of the credible Bayes interval. In a simulation study using R programming, the best estimator is the beta conjugate prior, because it has the smallest posterior variance value and the smallest credible Bayes interval width compared to the Uniform non-conjugate prior and Jeffrey's non-informative prior.
Analysis of Difficulty Level on The Topic Line and Angle Maria Agustina Kleden; Maria Lobo; Ganesha Lapenangga; Yosep Sugi
Journal of Mathematics and Mathematics Education Vol 10, No 1 (2020): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v10i1.42431

Abstract

A study on the level of difficulty of the mathematics subject has been carried out inthe Junior High Schools Aroun the City of Kupang. The samples were taken purposively among year 8 students and their mathematics teachers in the second semester from 8 public schools and 5 private schools. The number of samples was 659 students and 33 teachers. The analysis was conducted on the topics of Comparison, Aritmatic, Lines and Angles and Triangles and Quadrilateral Shapes. The study shows that the most challenging mathematic topics for the year 8 students in the City of Kupang is Lines and Angles followed by the calculation of area of irregular plane shapes particularly on pentagon forms
$P_2\rhd_{o}G$ supermagic labeling of comb product of graphs Ganesha Lapenangga Putra
Tensor: Pure and Applied Mathematics Journal Vol 2 No 1 (2021): Tensor : Pure And Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss1pp13-18

Abstract

PENGGUNAAN MODEL REGRESI QUASI LIKELIHOOD UNTUK MENGATASI MASALAH OVERDISPERSI PADA REGRESI POISSON Robertus Dole Guntur; Keristina Br Ginting; Ganesha Lapenangga Putra; Jeanete Y Nenabu
JURNAL DIFERENSIAL Vol 4 No 2 (2022): November 2022
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v4i2.8734

Abstract

One of the main issue in the poisson regression model is over dispersion. The existence of over dispersion causes the estimated regression coefficients tend to produce estimates that deviate from the actual parameter values. The main purpose of this study is to show how to overcome the dispersion problem in this regressiom model using Quasi Likelihood regression method. This study used secondary data with sample size 316. The results of this study indicated that the value of Pearson Chi-square and deviance in the testing of the goodness of fit for quasi likelihood regression model were more closed to the value of chi-square table with degree of freedom 313. Therefore, the application of quasi likelihood model regression is more adequate than the Poisson regression model to handle over dispersion.
ESTIMASI BILANGAN REPRODUKSI DASAR PENYEBARAN PENYAKIT DEMAM BERDARAH DENGUE DI KOTA BIMA TAHUN 2018 - 2020 Ariyanto Ariyanto; Ganesha L Putra; Meksianis Z Ndii
J-Icon : Jurnal Komputer dan Informatika Vol 9 No 2 (2021): Oktober 2021
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jicon.v9i2.5019

Abstract

In this paper, the mathematical model used is the host-vector model for transmission on of dengue hemorrhagic fever where the host population consists of three compartments, namely susceptible host, infected, and recovered, while the vector population consists of two compartments, namely susceptible vector and infected vector. From this model, an estimate of the basic reproduction number will be constructed with the assumption that the number or humans and mosquitoes infected with the dengue virus grows exponentially with the same growth rate. Applications using field data in the City of Bima obtained an basic reproduction number estimates of . Because the estimated values for the basic reproduction number are greater than one, it illustrates that the spread of dengue hemorrhagic fever in Bima City from 2018 to 2020 is categorized as an epidemic.
Wn-SUPER MAGIC LABELING ON GRAPH Pm ⊵e Wn Ci Manu; Ganesha Lapenangga Putra; Keristina Br. Ginting
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9823

Abstract

Suppose G graph, H subgraph of G, then graph G admits H-covering having an H-magic labeling if there exist a bijective function mapping V (G) ∪ E(G) to a set of natural number at most |V (G)| + |E(G)| such that for any subgraph H¯ of G isomorphic to H, the sum of vertex and edge label of H¯ is equal to a fix number k, where k is a magic number. Moreover, such a labeling called H-super magic if the range of vertex set of G is a set positive integer less than or equal to |V (G)|. Suppose that e is an edge of Wn. Graph Pm ⊵e Wn is a graph obtained by taking a copy of graph Pm, |E(Pm)| copies of Wn, then identifying i-th edge of Pm to an edge e at i-th copy of Wn. In this paper, we construct the Wn-supermagic labeling of Pm ⊵e Wn.
Co-Authors AA Sudharmawan, AA Ariyanto Ariyanto Ataupah, Anthony Arthur Ci Manu Demetriana Kolo Elisabet Lamapaha Erika Feronika Br Simanungkalit Farly Oktriany Haning Gita N.A. Ginting Irvandi Gorby Pasangka Jeanete Y Nenabu Julieta Bernadita Adelia Radja Jusrry Rosalina Pahnael Keristina Br. Ginting Laura Erlinda Laidat Maria Agustina Kleden MARIA LOBO Meksianis Z Ndii Nurahmi Purnamasari - Pangaribuan, Rapmaida Megawaty Robertus Dole Guntur Salman A.N.M. Sarbaini Sarbaini Soewongsono, Junita Christine Sugi, Yoseph Syamsul Arifin Yosep Sugi