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Muhammad Ikhwan
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Department of Mathematics Building C - Faculty of Mathematics and Natural Sciences Universitas Syiah Kuala Jl. Syech Abdurrauf - Kopelma Darussalam Kecamatan Syiah Kuala Banda Aceh, 23111 - Indonesia
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Transcendent Journal of Mathematics and Applications
Published by Universitas Syiah Kuala
ISSN : -     EISSN : 29641845     DOI : -
Core Subject : Economy, Science, Education, Social,
Computer Science & IT Economics, Econometrics & Finance Environmental Science Mathematics Physics
Transcendent Journal of Mathematics and Applications has the scope of mathematics and applications of mathematics, but does not rule out other fields. The scope are Mathematics (Algebra, Discrete Mathematics, Number Theory, Geometry, Graph Theory, Analysis, and Differential Equations) and its Applications (Physical Modeling, Disease Modeling, Social Modeling, Optimal Control and Control Systems, Engineering Mathematics, Economics and Business Mathematics, Ethnomathematics, Statistics, Informatics, Data Analysis, and Education).
Arjuna Subject : Matematika - Matematika Terapan
Articles 6 Documents
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Search results for , issue "Vol 2, No 2 (2023)" : 6 Documents clear
Kredibilitas Bühlmann Semiparametrik dengan Klaim Berdistribusi Poisson Ikhsan Maulidi; Taufiq Iskandar; Annisa Zahara; T Murdani Saputra
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34726

Abstract

One method for calculating premiums based on the policyholder's risk characteristics is to employ the theory of credibility, particularly the semiparametric Bühlmann model. The aim of this research is to estimate the parameters of the Bühlmann credibility model using a semiparametric approach for claim frequencies that follow a Poisson distribution. Additionally, this study compares the semiparametric model, the parametric model, and the nonparametric model for the Bühlmann model. The assumptions made in this study concern claim frequencies following a Poisson distribution. The research results reveal that the semiparametric Bühlmann credibility premium for a Poisson distribution is 0.117992. Furthermore, the comparison between parametric and semiparametric approaches shows that premiums estimated using the semiparametric approach are lower than those estimated using the parametric approach. The difference is approximately 0.0085% for the Negative Binomial distribution and 0.00085% for the two Poisson distributions. However, there is no significant difference in premium values between the semiparametric and nonparametric approaches.
Implementation of Preemptive Goal Programming and Branch and Bound in Production Planning at the Istiqomah Tofu Factory, Bandar Lampung City Retno Anggraini; Sri Efrinita Irwan; Achmad Suryadi Nasution
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34050

Abstract

In a production process, it is necessary to carry out a production planning so that the company gets the maximum profit at the minimum cost. Each place of production has several goals to be achieved, these goals do not always have the same level of importance. There are several goals that have varying degrees of importance. This problem can be solved by using the preemptive goal and branch and bond method. The results of the study show that, to achieve all the desired goals/objectives the Istiqomah tofu factory has to produce 638 packs of white tofu, 360 packs of yellow tofu and 360 packs of Chinese tofu so that the factory's profit could increase by 13.43% or Rp237.000,00 per day.
Method of multiple scales on Duffing oscillator equation and the existence of its limit cycle Gusrian Putra; Meysi Supmawati; Bayu Prasetyo
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34035

Abstract

The Duffing Oscillator equation is a second-order nonlinear differential equation that describes an oscillator with a cubic nonlinearity. In this paper, the Duffing equation involves damping factors, restoring forces, periodic force and its frequency, and nonlinearity constants. One of the perturbation techniques that can be used to determine the approximate solution of the Duffing oscillator equation is the method of Multiple Scales. Due to the existence of a sinusoidal periodic force in the equation, the Multiple Scales method produces a sinusoidal approximation as its solution. The solutions are also in a good agreement with the numerical results for small nonlinearity constants. The smaller the nonlinearity constant, the smaller the error obtained with the numerical results in comparison. The approximate solution also tends to be sinusoidal for small nonlinearity constants. Finally, the approximate solution obtained is able to predict the existence of a limit cycle in the Duffing Oscillator equation around the origin due to the existence of its particular solutions.
Kesiklikan Grup Unit dari Ring Z_n Dieny Ahda Damanik; Saiful Amri; Hafnani Hafnani
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.35384

Abstract

The unit group of rings Z_n denoted by U_n is widely used in pure mathematics and applied mathematics. It makes the mathematics calculation in U_n more complicated as n gets bigger. However, when U_n is cyclic, the calculation is no longer matter. In previous research, it was shown that U_n is cyclic if and only if n = 2;4; p^k;2p^k for any odd prim p and any positive integer k. This statement is known as Gauss’ Theorem for primitive root. This paper aims to reprove The Gauss’ Theorem using various tools like divisibility in Z, group and ring, polynomials over integral domain and fields. It is stated by showing that U_ab is not cyclic where a,b 2, (a,b) = 1. Thus, the necessity for U_n to be cyclic, n must be of the form 2k; pk or 2pk. Furthermore, we find U_(2^k ) is cyclic if only if k ∈ {1,2}. And then, proved that U_p is cyclic and using induction on k, we find that U_(p^k ) is cyclic. Finally, it is also found that U_(2p^k ) is cyclic so that Gauss’ Theorem is proven.
Identification of Maleo (Macrocephalon Maleo) and Gosong Kaki Merah (Megapodius Reindwardt) DNA Similarity Level Using Needleman-Wunsch Algorithm Rusmi Rusmi; Rina Ratianingsih; Abdul Mahatir Najar
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.34313

Abstract

Sequence Alignment is used to find out the similarity of the sequence of two DNA. One of the alignment algorithms is the Needleman-Wunsch algorithm which is a global alignment algorithm that uses the entire length of the DNA sequence. In this research, the algorithm is applied to a website-based application system to determine the level of similarity of the DNA sequence of Maleo (Macrocephalon Maleo) which is an endemic animal to Sulawesi, with a comparison of Gosong Kaki Merah (Megapodius Reinwardt) which has a wide global distribution. The results of the alignment of Maleo (Macrocephalon Maleo) and Kaki Merah (Megapodius Reinwardt) DNA sequences on a website-based application system have an average similarity level of 83.39% and an average gap value of 8.42%.
Front Matter Volume 2 No 2 October 2023 Muhammad Ikhwan
Transcendent Journal of Mathematics and Applications Vol 2, No 2 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i2.35457

Abstract

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