Ikhtiyar, Zakaria Bani
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Karakteristik Solusi Dekomposisi QR dalam Aljabar Max-Plus Tersimetri Ikhtiyar, Zakaria Bani; Saminanto, Saminanto; Cahyono, Budi
Square : Journal of Mathematics and Mathematics Education Vol 1, No 2 (2019)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2019.1.2.4135

Abstract

Kajian aljabar max-plus tersimetri hadir dari kondisi bahwa setiap elemen pada ℝ𝑚𝑎𝑥 tidak memiliki invers terhadap operasi max. Aljabar max-plus tersimetri dibentuk dari pasangan berurutan elemen-elemen di ℝ𝑚𝑎𝑥. Pembentukan aljabar max-plus tersimetri ini memunculkan kelas positif, kelas negatif, kelas nol, dan kelas himpunan baru, yakni kelas balance. Penelitian ini berfokus pada pencarian karakteristik solusi dekomposisi QR dalam aljabar max-plus tersimetri dengan beberapa entri matriks awal yang akan didekomposisi merupakan anggota kelas balance. Dekomposisi QR merupakan salah satu dekomposisi matriks, yaitu dekomposisi suatu matriks persegi panjang 𝐴 berukuran m × n menjadi perkalian matriks ortogonal 𝑄 berukuran m × m dengan matriks segitiga atas 𝑅 berukuran m × n. Secara umum, dekomposisi ini dapat digunakan dalam aljabar konvensional. Penelitian ini menjelaskan dekomposisi QR jika dipunyai matriks dengan entri-entri elemen balance di aljabar max-plus tersimetri.
Pemanfaatan Formula Logika Dalam Microsoft Excel Untuk Analisis Data Yang Efektif Diana, Arista Fitri; Ikhtiyar, Zakaria Bani; Aulia, Lathifatul
Intimas Vol 4 No 1 (2024)
Publisher : Fakultas Teknologi Informasi dan Industri Unisbank

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35315/intimas.v4i1.9757

Abstract

Penggunaan formula logika dalam Microsoft Excel memberikan keunggulan analitis yang signifikan dalam mengolah dan menganalisis data. Pelatihan ini dirancang untuk memeperkenalkan peserta pada berbagai formula logika Excel serta mendemonstrasikan cara mengaplikasikannya dalam konteks analisis data yang konkret. Pelatihan ini akan mencakup pemahaman mendalam tentang formula logika meliputi fungsi IF, NESTED IF, AND/OR, dan Conditional Formatting. Peserta akan memperoleh pemahaman yang kokoh tentang bagaimana menggunakan formula logika untuk mengambil keputusan, menemukan tren, dan memberikan solusi terhadap permasalahan kompleks. Melalui studi kasus dan latihan interaktif, peserta akan belajar mengidentifikasi skenario dimana formula logika dapat meningkatkan efisiensi analisis data. Hasil dari pelatihan ini diharapkan mampu memberikan kontribusi positif terhadap peningkatan produktivitas, ketepatan keputusan, dan efisiensi operasional dalam lingkungan kerja peserta. Selain itu, dapat memfasiliti penggunaan Excel sebagai alat analisis data yang lebih kuat dan efektif dalam mendukung pengambilan keputusan yang lebih informasional dan tepat sasaran
Analisis Kestabilan Lokal Model Transmisi Demam Berdarah Dengue Diana, Arista Fitri; Hajar, Muhammad Ibnu; Ikhtiyar, Zakaria Bani; Aulia, Lathifatul
Square : Journal of Mathematics and Mathematics Education Vol 6, No 1 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.1.21018

Abstract

Dengue fever transmission in Indonesia has an advanced amount. In this article, dynamic model of interaction between human and Aedes aegypti mosquitos is learned. The SEIRRD (Susceptible, Exposed, Infected, Recovered, Deceased) model is used in this article. The prurpose in this model is to describe the stability of dengue transmission, so that we can analyze the developed of epidemic model in mathemtic field. Using NGM method to analyze basic reproduction number and applying Routh-Hurwitz criteria method to show the local stability of model. Then, two equilibrium points, called endemic and non-endemic equilibrium points, are obtained. The result of basic reproduction number is described the stability analysis. If basic reproduction number less then one, the endemic equilibrium point is locally asymptotically stable and otherwise. Local stability analysis at the equilibrium point is determined through parameter analysis. Furthermore, numerical simulations are carried out by fitting the data to obtaine the result of the parameters. The results of numerical simulations explaine the spread of dengue transmission Keywords: Dynamic Model, Epidemic Model, Equilibrium Point, Local Stability, Routh Hurwitz
Perbandingan MAPE Metode Arima dan FTS Chen pada Peramalan Harga Minyak Mentah Widuri di Indonesia Ikhtiyar, Zakaria Bani; Sulistijanti, Wellie; Sari, Silvia Novita; Mahiruna, Adiyah
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23579

Abstract

The need for crude oil greatly affects economic activities on a micro and macro scale. Indonesia is one of the countries that produces crude oil, although the amount produced is not as large as countries in the Middle East. The global price of crude oil has a direct impact on Indonesia's rising fuel prices. To find out the world price of crude oil in the future, forecasting can be done. Widuri type crude oil is one of the crude oils that is a priority in Indonesia. This study compares the accuracy of forecasting the price of Widuri type crude oil with the MAPE accuracy calculation method and the forecasting method compared is the ARIMA method with the FTS Chen method.Keywords: forecasting, Oil, ARIMA, Fuzzy Time Series (FTS) Chen.
Prime ideal on the end_Z (Z^n ) Ring Ikhtiyar, Zakaria Bani; Puspita, Nikken Prima; Udjiani, Titi
Al-Jabar: Jurnal Pendidikan Matematika Vol 13 No 2 (2022): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v13i2.13193

Abstract

The set of all endomorphisms over -module  is a non-empty set denoted by . From  we can construct the ring of  over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers. In this paper, we take the ring of integer number  and the module of  over  such that the  is a ring. Furthermore, we show the existences of prime ideal on the . We also applied a prime ideal property to prime ideal on   .
Analisis Kestabilan Lokal Model Transmisi Demam Berdarah Dengue Diana, Arista Fitri; Hajar, Muhammad Ibnu; Ikhtiyar, Zakaria Bani; Aulia, Lathifatul
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 1 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.1.21018

Abstract

Dengue fever transmission in Indonesia has an advanced amount. In this article, dynamic model of interaction between human and Aedes aegypti mosquitos is learned. The SEIRRD (Susceptible, Exposed, Infected, Recovered, Deceased) model is used in this article. The prurpose in this model is to describe the stability of dengue transmission, so that we can analyze the developed of epidemic model in mathemtic field. Using NGM method to analyze basic reproduction number and applying Routh-Hurwitz criteria method to show the local stability of model. Then, two equilibrium points, called endemic and non-endemic equilibrium points, are obtained. The result of basic reproduction number is described the stability analysis. If basic reproduction number less then one, the endemic equilibrium point is locally asymptotically stable and otherwise. Local stability analysis at the equilibrium point is determined through parameter analysis. Furthermore, numerical simulations are carried out by fitting the data to obtaine the result of the parameters. The results of numerical simulations explaine the spread of dengue transmission Keywords: Dynamic Model, Epidemic Model, Equilibrium Point, Local Stability, Routh Hurwitz
Perbandingan MAPE Metode Arima dan FTS Chen pada Peramalan Harga Minyak Mentah Widuri di Indonesia Ikhtiyar, Zakaria Bani; Sulistijanti, Wellie; Sari, Silvia Novita; Mahiruna, Adiyah
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23579

Abstract

The need for crude oil greatly affects economic activities on a micro and macro scale. Indonesia is one of the countries that produces crude oil, although the amount produced is not as large as countries in the Middle East. The global price of crude oil has a direct impact on Indonesia's rising fuel prices. To find out the world price of crude oil in the future, forecasting can be done. Widuri type crude oil is one of the crude oils that is a priority in Indonesia. This study compares the accuracy of forecasting the price of Widuri type crude oil with the MAPE accuracy calculation method and the forecasting method compared is the ARIMA method with the FTS Chen method.Keywords: forecasting, Oil, ARIMA, Fuzzy Time Series (FTS) Chen.
LEONTIEF MATRIX: BUSINESS MODEL RECOMMENDATION FOR EXPORT COMMODITY OF NORTH SUMATERA Khasanah, Nur; Puspita, Nikken Prima; Hasnani, Fitriana; Fatimah, Meryta Febrilian; Ikhtiyar, Zakaria Bani
Jurnal Matematika UNAND Vol. 15 No. 1 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.1.95-107.2026

Abstract

The open model as the one the application of Leontief model using the explanation of the economy with input-output model. The open model shows the number of productions needed to satisfy an increase in internal and external demand. By using the operation linear algebra operation on ring characteristics, then the production numbers are calculated. This method is applied on the ten product-producing commodities of North Sumatera export demand to find the total production number, while the amount of demand is defined. It shows a solution to the minimization linear program is the solution that will satisfy both internal and external demands of the commodity with minimum inventory level.