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Journal of Mathematical and Fundamental Sciences
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Articles 2 Documents
Search results for , issue "Vol. 29 No. 1/2 (1996)" : 2 Documents clear
A Necessary and Sufficient Condition for the Uniqueness of Minimum Spanning Tree Maman A. Djauhari
Journal of Mathematical and Fundamental Sciences Vol. 29 No. 1/2 (1996)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

We develop a fundamental property of min-max transitive closure of a dissimilarity, considered as a fuzzry relation, in connection with its subdominant ultrametric. This will enable us firstly to derive a necessary and sufficient condition for the uniqueness of its minimum spanning tree, and secondly to find all possible local minima.Dengan menggunakan relasi samar sebagai sudut pandang, dalam tulisan ini dikembangkan suatu sifat fundamental dari penutup transitif min-maks suatu disimilaritas, dalam hubungannya dengan ultrametrik sub-dominan. Sifat tersebut memungkinkan kita merumuskan dan membuktikan suatu syarat cukup dan perlu agar suatu disimilaritas memiliki pohon kerangka minimum yang tunggal. Apabila tidak tunggal, sifat itu dapat menjadi landasan untuk menentukan semua pohon kerangka minimum lokal. 
Oscillation of Second Order Nonlinear Differential Equations S.M. Nababan
Journal of Mathematical and Fundamental Sciences Vol. 29 No. 1/2 (1996)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

In this paper we consider the following second order nonlinear differential equations:u" + f(t,u) = 0, t≥0Oscillation criteria for the above equation will be established by modification of the method that has been used previously. The results obtained will contain and improve the previous results. Some conditions imposed in the theorem will be less weaker than used before. Tulisan ini membahas persamaan diferensial nonlinear orde dua yang berbentuk:u " + f ( t , u ) = 0 , t>0Kriteria oskilasi untuk persamaan di atas dikaji dengan memodifikasi metode yang pernah dilakukan untuk menentukan kriteria oskilasi untuk persamaan diferensial di atas. Hasil yang diperoleh memuat dan mengembangkan kriteria oskilasi sebelumnya. Beberapa asumsi dalam teorema lebih lemah dibandingkan dengan yang digunakan sebelumnya.

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