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Analisis Survival terhadap Kekambuhan Pasien Penderita Asma menggunakan Pendekatan Counting Process: (Studi Kasus: Balai Besar Kesehatan Paru Masyarakat Makassar) Abdy, Muhammad; Sanusi, Wahidah; Aulia, Hikma
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Survival analysis or survival analysis is a set of statistical procedures to analyze data with the time until a particular event occurs as a response variable. Observe events such as death and recurrence of the disease. Survival analysis used for recurring data is the counting process approach for identic and stratified cox recursion events for non-identical recursion events. An example of identic recursion data is patient recurrence data of non-communicable diseases such as asthma. The type of research carried out is applied research with a quantitative approach, namely by taking or collecting the necessary data and analyzing it using the counting process approach method. The counting process approach method is a specific method used for identical reccuring event, each recurring event will be counted as a new and independent event. The variables used in the study were Time, Status, Gender, Age, Smoker, Allergies, Obesity, and Atopic History. Based on the results of this study, it was found that the factors of gender, age, and atopic history had an effect on the recurrence of asthmatic patients with a significance level of less than 10%.
Bilangan Kromatik Pewarnaan Titik pada Graf Dual dari Graf Roda Abdy, Muhammad; Syam, Rahmat; Tina, Tina
Journal of Mathematics, Computations and Statistics Vol. 4 No. 2 (2021): Volume 04 Nomor 02 (Oktober 2021)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to construct a dual graph from a wheel graph (Wn*) and determine the dual graph chromatic number of the wheel graph (Wn*). This research starts from describing some wheel graph from to , then construct a dual graph from a wheel graph from to , then gives color to the vertices of the dual graph by determining the chromatic number. The result showed that the wheel graph is a self-dual graph because it is isomorphic with its dual graph, namely . The vertex coloring is obtained by determining the chromatic number of the dual graph of the wheel graph, determining the pattern of the chromatic number and giving the color. Based on the research results, the chromatic number of vertex coloring on dual graph of a wheel graph is:
Solusi Persamaan Adveksi-Difusi dengan Metode Dekomposisi Adomian Laplace Abdy, Muhammad; Wahyuni, Maya Sari; Awaliyah, Narisa Fahira
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This paper discusses about the solution of advection-diffusion equation. The advection-diffusion equation is a mathematical equation designed to study the phenomenon of pollutant transport. This paper is using Laplace Adomian Decomposition method to solve the advectiondiffusion equation. The Laplace Adomian decomposition method is one of method which can be used to solve a differential equation that combines Laplace transform method and Adomian decomposition method. The solution is obtained by applying the Laplace transform to the advection-diffusion equation, substituting the initial conditions, converting the solution into the form of an infinite series, determining the terms, and applying the inverse Laplace transform to the terms of the infinite series. The results of this paper is the advection-diffusion equation can be solved by using Adomian Laplace decomposition method.
Suatu Kajian Tentang B-Aljabar Sanusi, Wahidah; Abdy, Muhammad; Sidjara, Sahlan; Asni, Asriani Arsita
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This research is a literature studies that aims at reviewing the concepts and properties of B-Algebras. The concept of B-Algebras in this article is based on research that has been done by Neggers and Kim and Allen. All discussions in this article use the firm sets, both finite sets and infinite sets. As a result, more complete evidence of the properties of B-Algebras can be given and its relationship with the group. A group with a specific operation and has as an identity element is a B-Algebras. Moreover, a number of group theorems can be derived into B-Algebra such as natural mapping and the First Isomorphism Theorems which in their proof have similarities to the proofs of groups while still using the properties of B-Algebra itself.
Konsep Himpunan Fuzzy pada Paradoks Russel Muhammad Abdy; Awi Dassa; Sri Julia Nensi
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Fuzzy sets use the basis of fuzzy logic to declare an object to be a member with the degree ofmembership ( ), but fuzzy logic violates the law of binary logic so that the assumption arises that fuzzylogic has the same problem with paradox. But the true value of fuzzy logic depends on the degree ofmembership it has so that a conclusion can be drawn from the large membership ranks, while the paradoxof its value cannot be drawn any conclusions. The paradox is a form of ground criticism that aims toexpress and determine the inconsistencies or contradictions that result from several mental experiments inmathematics, one of the paradoxes that is well-known in critics of set theory is Russel's paradox. The paradoxical solution of Russell by using fuzzy set theory concepts is that the degreeof membership is 0.5 and is 0.5.
Jumlahan Langsung pada Ring Syafruddin Side; Muhammad Abdy; Annisa Uniarti
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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This research is literature study that aims to examine the basic consept of external direct sum of ring, internal direct sum of ring, and properties of direct sum of ring. The study starts from the definitioan of external direct sum and internal direct sum. The main literature used is a book written by B. Hartley and T.O. Hawkes (1970). The result obtained explain and elaborated on the definitons of external direct sum and internal direct sum of ring, theorems about properties of direct sum of ring that accommodate a theorem resulting from the representation of the properties of direct sum of S-Near Ring and direct sum of modules relating to external rirect sum and internal direct sum of ring.
Solusi Persamaan Schrodinger dengan Menggunakan Metode Transformasi Diferensial Muhammad Abdy; Hisyam Ihsan; Dhea Ayu Rossyana Dewi
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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This study discusses the solution of linear partial differential equations, namely Schrodinger equation. The solution of the equation is done by using the differential transformation method which is a semi-numerical-analytical method, it can be used to solve both ordinary differential equations and linear or nonlinear partial differential equations. Differential transformation method is a method uses the theory of rank expansion in the form of transformation to determine solutions. In this study, two initial values in the given Schrodinger equation were used. Solutions with both initial values given are obtained using the Maclaurin series expansion. Then, the solution is simulated using Maple18 software. As a result, the differential transformation method in this study is one method that is able to solve a solution to the Schrodinger equation.
Penerapan Fuzzy Logic untuk Menentukan Minuman Susu Kemasan Terbaik dalam Pengoptimalan Gizi Auliah Khoirun Nisa; Muhammad Abdy; Ahmad Zaki
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This applied research aims to build a model of determining the best packaged milk with consideration variables are price and nutrition. The steps used in this research are fuzzification, fuzzy rule determination, fuzzy inference with mamdani method, and defuzzification. The data used are data taken from direct field surveys conducted by researchers in one of the supermarkets in Makassar. The results of this study is sample 16 packaged milk which is the most suitable packaged milk to recommended because it has high nutrition and affordable prices.
Exploring The Future of Health Through The SELR Mathematical Model with Time Delay on The Risk of Diabetes Among Mathematics Students of FMIPA UNM Due to Unhealthy Lifestyles Muhammad Abdy; Muhammad Isbar Pratama; Syafruddin Side; Minggi, Ilham; Yusuf S.A.P., Andi Muh. Ridho
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4513

Abstract

This study aims to build a SELR model with a time delay in diabetes cases, analyze the model, and conduct simulations to predict the incidence of diabetes. This study is a combination of theoretical and application studies. The analysis of the SELR model with a time delay is focused on diabetes cases, while the simulation is carried out using Maple Software. The study population was active students of FMIPA UNM, with a sample size of 1,000 students obtained using the Slovin technique. This study produces a mathematical model of SELR with a time delay for diabetes cases represented as a system of differential equations. Model analysis shows the existence of an equilibrium point free from diabetes cases and a stable endemic equilibrium point. In addition, the results of this study found the basic reproduction number (R₀) for cases without a solution of 25.97333855, which means that one individual can affect 25-26 people in the FMIPA UNM environment. However, if the solution is applied, the R₀ value decreases to 0.7502918529, indicating that there is no psychological spread, where each individual does not affect other individuals.
Penerapan Proof Without Word pada Berbagai Bidang Matematika Darmia, Darmia; Abdy, Muhammad; Rahmawati, Rahmawati
Journal of Health, Education, Economics, Science, and Technology (J-HEST) Vol. 1 No. 2 (2019): Journal of Health, Education, Economics, Science, and Technology
Publisher : Journal of Health, Education, Economics, Science, and Technology (J-HEST)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36339/

Abstract

Tujuan penelitian ini adalah untuk mengetahui bagaimana penggunaan proof without word dalam pembuktian secara deduktif pada bidang matematika. Teorema yang dibuktikan dalam penelitian ini meliputi bidang aritmatika, aljabar, geometri, dan trigonometri. Teorema tersebut dibuktikan dengan metode proof without word, yaitu pembuktian menggunakan gambar sesuai dengan bentuk teorema. Hasil yang diperoleh dalam penelitian proof without word pada bidang aritmetika didasarkan pada pembuktian sederhana yaitu jumlah kuadrat dan jumlah suku deret Fibonacci. Bidang aljabar didasarkan pada operasi penjumlahan dan pengurangan luas bangun. Bidang geometri, jumlah sudut vertex dari bintang dua dimensi bintang dan pembuktian teorema Pythagoras. Bidang trigonometri didasarkan pada identitas trigonometri. Hasil proof without word tersebut sebagai bukti alternatif pembuktian disamping pembuktian secara analitis.