PENYELESAIAN PERSAMAAN POISSON MENGGUNAKAN METODE HOMOTOPI PERTUBASI

In this paper, we discuss the solution of the Poisson equation with some initial condition. We use the homotopy pertubation method to get the solution.. The homotopy pertubation method is a combination of the homotopy method and the pertubation method. The solution of the equation is assumed to be in the form of a power series. The result is by using the homotopy pertubation method for the diffution equation, the solution is the same with the exact solution.

PERAMALAN GARIS KEMISKINAN DI KABUPATEN PURBALINGGA TAHUN 2021-2023 DENGAN METODE DOUBLE EXPONENTIAL SMOOTHING LINIER SATU PARAMETER DARI BROWN

Poverty is a major problem in a country. The Indonesian government has made various efforts to tackle the problem of poverty. The main problem faced in poverty alleviation is the large number of people living below the poverty line. Therefore, this study aims to predict the poverty line in Purbalingga Regency for the next three periods as one of the efforts that can be made by the government in poverty alleviation. The method used in this study is a one-parameter linear double exponential smoothing from Brown. The software used in this research is Zaitun Time Series and Microsoft Excel. The steps taken are determining the forecasting objectives, plotting time series data, determining the appropriate method, determining the optimum parameter value, calculating the single exponential smoothing value, calculating double exponential smoothing value, calculate the smoothing constant value, calculate the trend coefficient value and perform forecasting. Based on the calculation results, the optimum alpha parameter value is 0.7 with MAPE value of 1.67866%, which means that this forecasting model has a very good performance. The forecast value of the poverty line in Purbalingga Regency for 2021 is Rp. 396,516, in 2022 it is Rp. 417,818, and in 2023 it is Rp. 439,120.

PREDIKSI BERAT TUBUH SAPI PERAH FRIESIAN-HOLSTEIN MENGGUNAKAN MODEL VON BERTALANFFY

Pada makalah ini dibahas mengenai prediksi berat tubuh sapi perah Friesian-Holstein menggunakan model Von Bertalanffy. Laju metabolisme pada model terdiri dari anabolisme dan katabolisme. Prediksi berat tubuh sapi perah ini penting karena dapat digunakan untuk menentukan usia kawin pertama kali sapi perah FH. Usia kawin pertama yang tidak tepat dapat menyebabkan produksi susu yang rendah dan tidak tercapainya berat tubuh pedet yang ideal. Dari hasil simulasi diperoleh konstanta anabolisme sebesar 0,3854 dan konstanta katabolisme sebesar 0,0438. Dengan konstanta tersebut, diperoleh rata-rata kesalahan absolut sebesar 4,9708% (6,5358 kg). Selanjutnya, diperoleh hasil bahwa sapi dapat dikawinkan pada saat memiliki berat tubuh 273,9152 kg sampai 303,2340 kg dengan umur 59-66 minggu (14-16 bulan).

IMPLEMENTASI PENYEDERHANAAN FUNGSI BOOLE DENGAN METODE QUINE McCLUSKEY

Quine McCluskey method is one method that can be used to simplify the Boolean function. The Quine McCluskey method has several advantages including having simpler, more systematic steps than other methods and it is easier to simplify the Boolean function with a large number of variables. This study discusses the design of a Boolean function simplification program for the Quine McCluskey method using Visual Basic 6.0. The resulting program can simplify the Boolean function with many variables less than equal to 26 variables and able to simplify the Boolean function in the form of Sum of Product (SOP), Product of Sum (POS), and don't care.

SEMIGRUP REGULER DAN SIFAT-SIFATNYA

This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to ideals, subsemigroups, groups, idempoten semigroups and invers semigroups. In addition, this paper also discusses the Cartesian product of two regular semigroups. Keywords:ideal, idempoten semigroup, inverse semigroup, regular semigroup, subsemigroup.

MODEL MATEMATIKA KANKER NASOFARING DENGAN RADIOTERAPI

Karsinoma nasofaring merupakan keganasan pada kepala dan leher yang terletak di nasofaring. Penyakit ini ditandai oleh serangkaian fitur geografis, etiologis dan biologis yang unik yang berbeda dari kanker kepala dan leher lainnya. Lanskap molekuler kanker nasofaring ditentukan oleh serangkaian variasi epigenetik genetik dan familial dan somatik, yang sebagian besar kanker nasofaring bercampur dengan infeksi virus Epstein-Barr (EBV) laten menghasilkan fenotipe ganas. Ada beberapa cara untuk mengobati kanker nasofaring, salah satunya adalah radioterapi. Penelitian ini akan membentuk model matematis empat persamaan diferensial biasa dengan empat variabel. Analisis stabilitas dalam penelitian ini adalah mempelajari suatu sistem dengan tujuan untuk mengetahui bentuk kestabilan titik-titik kesetimbangan pada masing-masing komponen titik kesetimbangan dalam model, sehingga dapat diketahui kapan komponenn titik-titik ekuibrium dari populasi sel laten, populasi sel yang terinfeksi, populasi invasif karsinoma, dan konsentrasi Radioterapi mencapai titik penyembuhan. Hasil penelitian menunjukkan dua titik kesetimbangan yaitu titik kesetimbangan bebas penyakit dengan dan titik ekuilibrium endemik untuk kanker nasofaring dengan memberikan dosis tertentu.

PENGELOMPOKAN KABUPATEN/KOTA DI PROVINSI JAWA TENGAH BERDASARKAN JUMLAH PEREMPUAN (USIA 18+) KORBAN KEKERASAN DENGAN MENGGUNAKAN K-MEANS CLUSTERING

Violence against women is one of the cases that often gets attention and news in various mass media and electronic media today. In Komnas Perempuan's Annual Records, there were 406,178 cases of violence against women reported and handled throughout 2018. This number increased compared to the previous year's 348,466 cases. This study was conducted to try to group 35 districts/cities in Central Java into 3 clusters based on the number of women (age 18+) victims of violence. Grouping is done using the k-means cluster method. The regencies/cities in Central Java are grouped into 3 clusters, namely: cluster 1 there is 1 Regency/City with a high number of women (age 18+) victims of violence, cluster 2 there are 4 Regency/City with a high number of victims of violence. female (age 18+) victims of violence. moderate, and cluster 3 there are 30 districts/cities with a low number of women (age 18+) victims of violence.

ANALISIS REGRESI COUNT DATA UNTUK PEMODELAN JUMLAH KASUS PENYAKIT TUBERKULOSIS DI KABUPATEN BANYUMAS

Tuberculosis is an infectious disease caused by Mycobacterium tuberculosis. Banyumas Regency is one of the districts with quite high Tuberculosis cases in Central Java. This study aims to analyze the factors that affect the number of tuberculosis cases in Banyumas Regency using regression analysis of count data. Poisson regression is the simplest count data regression model that has the assumption of equidispersion, that is, the mean value equal to the variance. However, in its application, these assumption is often not fulfilled, for example, there are cases of overdispersion (variance value is greater than the mean). In this study, to overcome the case of overdispersion, an approach was used using Generalized Poisson Regression (GPR) and negative binomial regression. The results showed that the data on the number of tuberculosis cases in Banyumas Regency in 2019 was overdispersion. The data modeling of the number of tuberculosis cases in Banyumas Regency with the negative binomial regression model is better than the GPR model. Meanwhile, the only predictor variable that affects the number of tuberculosis cases in Banyumas Regency is the sex ratio of productive age (15-49 years).

APLIKASI K-MEANS DAN FUZY CLUSTERING DALAM PENGELOMPOKAN KECAMATAN DI KABUPATEN BANYUMAS

Clustering N objects into c clusters can be used to get information about data observation. Among the clustering methods are K-Means (KMC) and Fuzzy C-means (FCM) methods. In the K-means method, objects are members or not members of the cluster, while in the FCM method, objects are included in the cluster based on the degree of membership. This study discusses the implementation of KMC and FCM in the custering of sub-districts in Banyumas Regency based on total of population, the number of health workers and the number of health facilities and infrastructure. The results showed that the KMC and FCM methods produced the same cluster membership. Furthermore, the analysis of clustering based on the number of population, the number of health workers and the number of health facilities and infrastructure (scenario 1) and based on the number of health workers and the number of health facilities and infrastructure which have been corrected by population (scenario 2). The percentage of the variance ratio between clusters to the total variance in scenario 1 is 69% while in scenario 2 it is 85%. Clustering based on scenario 2 is better than scenario 1.

SOME PROPERTIES OF SUBSEMIHYPERGROUPS

In this paper we will present two properties of subsemihypergroups. The first property is a relation between subsemihypergroups and semihypergroup. This property enable us to get the second property, which provides a relation between subsemihypergroups and regular semihypergroups.