This nal project discusses the properties of BO-algebra and the relation of BO-algebra with BG-algebra, Abelian group, and B-algebra. Their relationship is proven by showing that the properties of BO-algebra, BG-algebra, Abelian group, and B-algebra are interrelated. Keywords: BO-algebra, BG-algebra, Abelian group, B-algebra
This final project discusses the Maximum Sustainable Yield (MSY) value in predator prey model with Holling type II function. In this model there are four equilibrium points in which two of them are stable. Simulations on the model are carried out to describe the dynamics of the two populations. Based on result of analysis and simulations, the MSY value can be achieved when the harvesting e…
This final project discusses an iterative method of SOR-like to solve an absolute value equation. Some new conditions for the convergence of the method are given, which are different from the result obtained by Ke and Ma. Numerical experiments show that the SOR-like iteration method can be used as an alternative method to solve the absolute value equation. Keywords: Iterative method, SOR-l…
This final project discusses Newton-Obadah-Newton’s (NON) method for solving a nonlinear equation. The convergence analysis shows that NON’s method has an eighth-order convergence. As for the end discussion, a numerical comparison of NON’s method and other methods with the same order convergence have been observed which conclude that NON’s method can be used as an alternative metho…
This final project discusses the problem of solving supply by considering a product that has a limited shelf life called deterioration. This study also considers the existence of product deficiencies and partial backlogging during the market demand process. Market demand is assumed to be a function of the ramp where the demand for products initially increases a few moments then stabilizes a…
This final project discusses the reciprocal addition formula of multiplying Fibonacci and Lucas numbers using the floor function with mn, where the values of m are any positive integers, and the values of n are even and odd integers. The reciprocal addition formula is proved by using a definition, the properties of multiplication of Fibonacci and Lucas numbers, and algebraic calculations. …
BP-algebra is a nonempty set with binary operation which satisfies the axioms (BP1) , (BP2) , (BP3) for each . In this research, the concept of - -derivation dan - -derivation in BP-algebra are defined along with its properties. Based on the concepts and - -derivation in B-algebra the properties of -derivation in BP-algebra are constructed. In the final part, the properties of the general…
This final projects discusses the solution of the neuteosophic travelling salesman problem in trapezoidal fuzzy using the method of branch-and-bound algorithm. The goal is to find the best obtained path of salesman routes. The discussion concludes that the branch-and-bound algorithm can be used as a method to solve the travelling salesman problem. Keywords: Fuzzy trapezoidal number, rankin…
This final project discusses full preliminary term reserve of endowment insurance for single insurance participant who are x years old by using the interest rate model of Cox-Ingersoll-Ross and Pareto distribution. The parameters in the model are estimated by using maximum likelihood method. The solution of this problem is obtained by determining the single premium, annual premium, and lif…
This nal project discusses the sums of reciprocal and reciprocal squared of Lucas number through several propositions in the form of inequalities. Several identities are used to prove the propositions. Some required identities are proven by mathematical induction, Binet's formula, and recurrence relations of Lucas numbers. Then, to get the results of the sums of reciprocal and reciprocal …
This thesis discusses the EOQ model by adding tolerance values, especially for items that are easily damaged. The tolerance value when ordering is placed is called α and when the goods are stored is called β given to minimize damage or depreciation. Perishable items in this thesis are fish, meat, fruit and vegetables. The assumption is given that the order tolerance value is smaller than …
This thesis discusses a development of BCH-algebra with addition of derivations concept in BCH-algebra. BCH-algebra is a nonempty set with binary operation and constant , and statisfying the certain axioms. A mapping of from to itself is said to be a derivation in BCH-algebra if is both -derivation and -derivation in BCH-algebra, where is BCH-algebra. In the research by adding an endomorph…
This research to produce a product in the form mathematical learning devices using based on discovery learning on valid and practical relation and function material. The development model used is a 4-D model, namely define, design, develop, and desseminate. The research instrument used is the instrument of validity and practicality. The instrument of validity is in the form of a validation asse…
This research is motivated by the 2013 Curriculum which requires students to be active in learning so that they are able to build their own knowledge and be able to solve contextual problems that facilitate mathematical problem solving abilities. The purpose of this study is to produce products in the form of learning tools, namely Syllabus, RPP, and Student Activity Sheets (LAS) for SPLTV mate…
B-algebra is a non-empty set X with a constant 0 and a binary operation ∗, satisfying the certain axioms. A special form of B-algebra is a BM -algebra. Their relationship are every BM -algebra is a B-algebra and every 0-commutative Balgebra is a BM -algebra. The concept of fq-derivation in B-algebra is discussed. In this thesis, the fq-derivation in BM -algebra and left fq-derivation in …
This research to produce a product in the form mathematical learning devices using Problem Based Learning model on the material of Constructing Flat Side Spaces to facilitate students Mathematics Problem Solvibg Ability. The development model used is the ADDIE model namely Analysis, Design, Development, and Evaluation. The research instrument used is validity instrument and practicality. The in…
Skripsi ini membahas solusi dari persamaan Diophantine eksponensial. Persamaan ini diselesaikan dengan menggunakan beberapa sifat persamaan Diophantine Eksponensial dan beberapa hasil dari pembagi primitif bilangan Lucas. Kata kunci: Persamaan Diophantine eksponensial, sifat persamaan Diophan- tine eksponensial, keterbagian, pembagi primitif bilangan Lucas
Abstract: This research aimed to improve learning process and mathematics learning outcomes students by applying of Cooperative Learning Type Student Teams Achievement Division (STAD). Subjects of this research are class VII.3 students at SMP Negeri 39 Pekanbaru of 2016/2017, total number of participant are 40 whose academic achievement are heterogen. The research implemented in which consisted…
This study aims to produce interactive learning media using powerpoint-geogebra valid 2-dimension geometrical material. This study adopted three of the five stages of ADDIE development research (Analyze, Design, Development, Implement, Evaluation), namely Analyze, Design, and Development. Product validity is assessed based on the results of the validation of material experts and media exper…
This study aims to produce mathematics learning tools using problem-based learning models to facilitate valid and practical mathematical problem solving abilities of students. The learning tools developed in the form of syllabus, lesson plan and student worksheets on three-variable linear equation system material for students in class X SMA/MA. This research is research and development with a 4…