Jurnal Fourier
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Metode Akra-Bazzi Sebagai Generalisasi Metode Master Dalam Menyelesaikan Relasi Rekurensi
Get PDFRekurensi relation is an equation that relates the elements of a sequence. One of the benefits of the rekurensi relation can be used to calculate the running time/finish of an algorithm. Some algorithms use approach devide-and-conquer in resolving a problem. Rekurensi relations with the approach of the devide and conquer can be solved by several methods. This research aims to know the Akra-Bazzi Method as an extension Method of the Master. This research began with the dissected the concept pertaining to the Relation Rekurensi, methods for resolving Relationship Rekurensi, and lastly about methods of AkraBazzi. Note that Akra-Bazzi Method can solve a rekurensi devide-and-conquer with shorter calculation
Perbandingan Berbagai Model Conditionally Heteroscedastic Time Series Dalam Analisis Risiko Investasi Saham Syariah Dengan Metode Value At Risk
Get PDFValue at Risk (VaR) is one of the tools recommended Bank Indonesia to gauge the risk of an investment, the VaR approach tends to be more associated with the conventional assumption of a normal distribution, while contemporary empirical findings indicate the existence of patterns of abnormality in the nature of statistical data, especially on financial data. Up to this time shares in the Jakarta Islamic Index (JII) is still heavily influenced by the dynamics of market volatility which one, so the necessary in-depth analysis to help investors make the right decisions in investing. This research addresses the issue of risk analysis model using the VaR approach using a variety of model Heterokedastic Timeseris Conditionals (CHT) and find the best model. As for the data used is the daily closing stock index data-Sharia stocks (JII) post-crisis global 2008 (January 2009 – June 2011) and the software used is E-Views 5.1 and Excel 2007. The results obtained are of 16 (sixteen) model approach to VaR-CHT used, only 5 (five) a valid model on a confidence level of 99%, i.e. Approach (2.2) GARCH, GARCH M standard deviation GARCH (1,1), M Log (Variansi) (1,1), TARCH M Log (Variansi) (1,1), EGARCH and M Log (Variansi) (1,1). The VaR Model of the CHT are the best and recommended in analyzing the risks of stock investment is Shariah (JII) is a model that gives the value of the VaR model, i.e. the smallest VaR GARCH-M standard deviation (1,1) that gives the value of VaR is equal to 3.2396%
Aplikasi Transformasi Laplace Pada Rangkaian Listrik
Get PDFMenyelesaikan persamaan diferensial sering terkendala oleh masalah syarat awal atau syarat batas. Masalah syarat batas ini sering dijumpai pada penerapan persamaan diferensial, salah satunya adalah rangkaian listrik. Metode yang dapat digunakan untuk menyelesaikan masalah syarat batas pada persamaan diferensial salah satu diantaranya adalah metode transformasi Laplace. Transformasi Laplace yang didefinisikan dengan L{f(t)}= dapat digunakan untuk mencari solusi dari suatu sistem persamaan diferensial koefisien konstan. Metode penyelesaian suatu rangkaian Listrik dengan menggunakan transformasi Laplace adalah dengan mengubah persamaan diferensial dari domain waktu (t) ke dalam domain frekuensi (s), memetakan masalah nilai awal ke dalam persamaan pembantu, menyelesaikan dengan perhitungan aljabar, dan menggunakan invers transformasi Laplace untuk mendapatkan solusi khusus secara langsung dari sistem persamaan diferensial rangkaian listrik tersebut
Aplikasi Persamaan Bessel Orde Nol Pada Persamaan Panas Dua Dimensi
Get PDFBessel differential equation is one of the applied equation in physics is about heat transfer. Application of modified Bessel function of order zero on heat transfer process of two-dimensional objects which can be modelled in the form of a two-order partial differential equations as follows, ..... With the obtained solutions of Bessel's differential equation application of circular fin, .... two-dimensional temperature stated on the point ..... against time
Penanaman Karakter Penalaran Matematis Dalam Pembelajaran Matematika Melalui 1 Pola Pikir Induktif-Deduktif
Get PDFOne of the mathematics learning purposes is using reasoning in patterns and properties, mathematical manipulation in making generalization, compiling evidence, or explaining mathematical ideas and statements. Mathematical learning based on behaviorism has been seen as less successful in instilling character of mathematics reasoning. Therefore, it is necessary to find alternative learning not only teaching but instilling character of mathematical reasoning. This paper offers constructivist in mathematics learning, which is one of the ways to involve the use of inductive-deductive thinking. Activities that involve students learning to use the inductive-deductive mindset needs to be designed and implemented by teachers. Using inductive thinking can be conditioned, especially in the process of understanding a concept or generalization. Deductive thought patterns can be conditioned to improve mathematical reasoning, for example, in the proofing. The mindset of inductive and deductive mathematical reasoning is difficult to separate in the mathematical reasoning therefore it is regarded involving the use of inductive-deductive thinking
Penyelesaian Masalah Penjadwalan Job-Majemuk dengan Pemakaian Sumberdaya- Majemuk Menggunakan Algoritma Genetika
Get PDFScheduling problems with regard to the problem of determining the order to carry out a number of tasks. This issue covers a wide range of areas such as manufacturing, installation project, production planning, hospital management and reservation system. This problem can be seen as an optimization problem of dealing with a number of constraints. An increase in the complexity of the problem requires the existence of an efficient and effective techniques. This study addresses the issue of scheduling multiple job-where there are several different types of resources that are working on an operation or activity simultaneously. Genetic algorithms are developed to solve these problems. Genetic algorithm testing performed against a number of hipotetik example. The output agoritma of genetics compared against optimal technique of the output and the output algorithm based on Lagrange relaxation on the same issue. The results of the comparison with optimal techniques and algorithms based on Lagrange relaxation indicates a significant improvement of computing efficiency, but nevertheless occur a little decrease in effectiveness
Optimasi Portofolio Resiko Menggunakan Model Markowitz MVO Dikaitkan Dengan Keterbatasan Manusia Dalam Memprediksi Masa Depan Dalam Perspektif Al-Qur`an
Get PDFRisk portfolio on modern finance has become increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Since companies cannot insure themselves completely against risk, as human incompetence in predicting the future precisely that written in Al-Quran surah Luqman verse 34, they have to manage it to yield an optimal portfolio. The objective here is to minimize the variance among all portfolios, or alternatively, to maximize expected return among all portfolios that has at least a certain expected return. Furthermore, this study focuses on optimizing risk portfolio so called Markowitz MVO (Mean-Variance Optimization). Some theoretical frameworks for analysis are arithmetic mean, geometric mean, variance, covariance, linear programming, and quadratic programming. Moreover, finding a minimum variance portfolio produces a convex quadratic programming, that is minimizing the objective function ð‘„ð‘¥with constraints𜇠𑇠𑥠≥ ð‘…andð´ð‘¥ = ð‘. The outcome of this research is the solution of optimal risk portofolio in some investments that could be finished smoothly using MATLAB R2007b software together with its graphic analysis
Pembentukan Karakter Peserta Didik Melalui Pembelajaran Matematika
Get PDFCharacter building not only as an issue of education development, but also as a process of citizen moral building. Character building as an education focus in all of education level from elementary school into university spend a high attention. Mathematics education can’t release from mathematics. So, If we want to build the student character, we must be use the philosophies values of mathematics education by expression the characteristic of mathematics as the object is abstract, the symbol is no meaning, agreement reached and deductive axiomatic thinking, and non contradiction. There are many character value in the mathematics instruction that related with the characteristic of mathematics that can be integrated with Al Qur’an that we hope can support national education purposes, as agreement reached, consistent, deduction and whole. The student character can be build by mathematics instruction as religious, truth, tolerance, discipline, creative, democratic, sense to know, nationality, and communicative
Pembelajaran Matematika dengan ICT Sebagai Sarana Pengembangan Kecerdasan Emosional Siswa Menuju Pembangunan Karakter Bangsa
Get PDFNowadays ICT is rising rapidly, although in fact the effort of mathematics teaching quality is still concerning in cognitive aspect while forgetting non-cognitive aspect. The neglect of affective aspect as well emotional quotient in mathematics teaching contributes to social situation that hamper national character development. So, the development of ICT must be preferred as an alternative for mathematics teaching in order to extend emotional quotient towards national character development. It stands to reason that due to the development of ICT has another side that is likely to increase emotional skills in social life
Peningkatan Pemahaman Tentang Garis Tinggi Pada Segitiga Dengan Pembelajaran Konstruktivisme (Studi Kasus Pada Mahasiswa Dual Mode Konsentrasi IPS, UPI Kampus Serang)
Get PDFKnowledge is the student’s construction result that affect to the more meaningful learning. Sometimes, teachers forget that a student has self-live experiences as their initial concept. When expressed their initial concept, students will be easier to accept new material knowledge, because students will constructing their knowledge indirectly. The constructivism of learning is a teaching and learning process to make students themselves mentally active to construct their knowledge, based on cognitive structure that they ever had before. In the relationship to the student’s geometry concept, it must be considered how the students constructing this concept by their cognitive structure. Memorizing the mathematical formulation is not the guarantee that the students have been mastering to the real geometry. For example, to understand about height line in the triangle, is not an instantaneous process. It can be learned by constructing through an experiment to involving all student hands on activity process. Through the activity to make a height line, measuring, and calculating the triangle area, student will be led on the joyful activity, avoid to the bored, toward the conclusion that every triangle, there are three height lines for the three triangle’s bases in each area