Journal of Fundamental Mathematics and Applications (JFMA)
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GENERAL UNCROSSING COVERING PATHS INSIDE THE AXIS-ALIGNED BOUNDING BOX
Get PDFGiven the finite set of n_1⋅n_2⋅...⋅n_k points G(n_1,n_2,...,n_k) in R^ such that n_k≥...≥n_2≥n_1∈Z+, we introduce a new algorithm, called MΛI, which returns an uncrossing covering path inside the minimum axis-aligned bounding box [0,n_1−1]×[0,n_2−1]×...×[0,n_k−1], consisting of 3⋅(n_1⋅n_2⋅...⋅n_k−1)−2 links of prescribed length n_k−1 units. Thus, for any n_k≥3, the link length of the covering path provided by our MΛI-algorithm is smaller than the cardinality of the set G(n_1,n_2,...,n_k). Furthermore, assuming k>2, we present an uncrossing covering path for G(3,3,...,3), comprising only 20*3^(k−3)−2 two units long edges, which is constrained by the axis-aligned bounding box [0,4−√3]×[0,4−√3]×[0,2]×...×[0,2]
CHARACTERIZATION OF WEAKLY PRIME SUBMODULE
Get PDFLet R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules
CONDITIONS ON UNIQUENESS OF LIMIT POINT AND COMPLETENESS IN CONE POLYGONAL METRIC SPACES
Get PDFThis paper discusses cone polygonal metric spaces. We analyze some characteristics derived from convergence and Cauchyness of sequences. Our result consists of some conditions on uniqueness of limit point and completeness in cone polygonal metric spaces
TOPOLOGI DI RUANG METRIK PSEUDO-b_s
Get PDFDalam tulisan ini dibahas mengenai beberapa sifat metrik pseudo- dan topologi dalam ruang metrik pseudo- di antaranya kekonvergenan- barisan, barisan Cauchy-, ruang metrik pseudo- lengkap, serta himpunan tertutup-
IMPLEMENTASI KRIPTOGRAFI KURVA ELIPTIK ELGAMAL DI LAPANGAN GALOIS PRIMA PADA PROSES ENKRIPSI DAN DEKRIPSI BERBANTUAN SOFTWARE PYTHON
Get PDFPerkembangan teknologi memberikan dampak terhadap kemajuan di segala bidang kehidupan manusia terutama dalam bidang informasi. Hal ini memberikan dampak positif dan negatif. Salah satu dampak positifnya adalah mudahnya bertukar informasi dari yang bersifat umum atau rahasia melalui internet. Dampak negatifnya adalah data yang bersifat rahasia menjadi kurang aman dan dapat disalahgunakan oleh pihak yang tidak berwenang. Kriptografi kurva eliptik El-Gamal (ECC: Eliptic Curve Cryptosystem) memberikan solusi untuk keamanan suatu informasi. ECC merupakan salah satu metode kriptografi kunci publik yang mempunyai tingkat keamanan tinggi dibandingkan dengan algoritma kunci publik lainnya. Tujuan dari penelitian ini adalah memahami konsep kriptografi kurva eliptik El-Gamal yang akan didefinisikan di Galois field prima. Hasil dari penelitian ini, yaitu penggunaan kurva eliptik El-Gamal di Galois field prima untuk proses pembentukan kunci, proses enkripsi dan proses dekripsi pada suatu data dengan menggunakan Python
SOME CARTESIAN PRODUCTS OF A PATH AND PRISM RELATED GRAPHS THAT ARE EDGE ODD GRACEFUL
Get PDFLet be a connected undirected simple graph of size and let be the maximum number of its order and its size. Let be a bijective edge labeling which codomain is the set of odd integers from 1 up to . Then is called an edge odd graceful on if the weights of all vertices are distinct, where the weight of a vertex is defined as the sum of all labels of edges incident to . Any graph that admits an edge odd graceful labeling is called an edge odd graceful graph. In this paper, some new graph classes that are edge odd graceful are presented, namely some cartesian products of path of length two and some circular related graphs
NILAI KETAKTERATURAN TOTAL DARI EMPAT COPY GRAF BINTANG
Get PDFMisalkan adalah suatu graf dan adalah bilangan bulat positif. Pelabelan- total pada graf adalah suatu pemetaan Bobot titik dinyatakan dan bobot sisi dinyatakan Suatu pelabelan- total dikatakan tak teratur total, jika bobot setiap titik berbeda dan bobot setiap sisi berbeda. Nilai ketakteraturan total (totally irregularity strength) dari graf dinotasikan dengan adalah nilai minimum atau label terbesar minimum yang digunakan untuk melabeli graf dengan pelabelan-k total tak teratur total. Dalam makalah ini diperoleh nilai ketakteraturan total 4 copy graf bintan Sn adalah dengan merupakan bilangan bulat positif da
QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS
Get PDFThis study aims to construct quadratic polynomials in n for power sums and alternating power sums of consecutive positive integers. In addition, this paper evaluated the said quadratic polynomials under odd and even terms of the series
PENERAPAN PROGRAM LINIER MENGGUNAKAN METODE DUAL SIMPLEKS DAN METODE QUICK SIMPLEKS UNTUK MEMINIMUMKAN BIAYA (STUDI KASUS: KELOMPOK WANITA TANI (KWT) SENTOSA SANTUL)
Get PDFThe Sentosa Santul Women Farmers Group (KWT) is a group of women farmers in Dusun Santul, Kampar Utara District an is engaged in the field of food crops is chili. The Sentosa Santul Women Farmers group (KWT) uses 4 types of fertilizers for chili plant fertilization, namely hydro complex fertilizer, phonska, NPK Zamrud and goat manure.The KWT wants the minimum fertilizer cost but the nutrients in the plants are met. The method used in this research is the dual simplex method and the quick simplex method. The purpose of this study is to determine the minimum costs that must be incurred by the Womens Farmer Group (KWT) for fertilization using the dual simplex method and the quick simplex method to obtain an optimum and feasible solution. For the dual simplex method, the optimum and feasible solution were obtained using the Gauss Jordanelimination. While the quick simplex method, the solution is illustrated using a matrix to reduce the number of iterations needed to achieve the optimal solution. Based on the research result, it is found that the quick simplex method is more efficient than the dual simplex method. This can be seen from the number of iterations carried out. Dual simplex method iteration there are two iterations and quick simplex one iteration. The dual simplex method and the quick simplex method produce the same value
KARAKTERISASI DAN BEBERAPA SIFAT RUANG CEC
Get PDFAbstract. In this paper, we define the notion of CEC spaces. We also study about acharacterization and some properties of CEC spaces such as hereditary, topologicalproperty, finite productive, and divisible.Abstrak. Di dalam tulisan ini, didefinisikan ruang CEC. Dibahas pula karakterisasidan beberapa sifat ruang CEC seperti menurun, sifat topologi, produk berhingga, dan terbagi