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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
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.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 3 Documents
 1 
Search results for , issue "Vol. 8 No. 2 (1974)" : 3 Documents clear
Mafic and Ultramafic Rock Association in the East Arc of Sulawesi R. Soeria Atmadja; J.P. Golightly; B.N. Wahju
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 2 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Busur Timur Sulawesi, yang terdiri dari Sulawesi Timur dan Tenggara, sebagian besar ditempati oleh suatu komplek luas terdiri dari kelompok batuan ultramafic yang diperkirakan berumur Mososoik hingga Tersier Bawah. Batuan-batuan tersebut dijumpai bersama dengan instrusi-intrusi batuan beku yang bersusunan gabro. Komplek batuan ultramafik ini merupakan suatu lajur yang terputus-putus, dan dapat diikuti dari bagian paling timur dari Sulawesi Timur ke arah barat dan membelok mengikuti arah struktur Sulawesi Tenggara. Komplek ini terdiri dari berbagai batuan ultramafic terutama harsburgit dan lersolit, serta dunit & piroksenit. Sebagian besar daerah yang diselidiki terdiri dari batuan-batuan ultramafic yang mengalami berbagai derajat serpentinisasi. Di beberapa bagian komplek ini, batuan-batuan ultramafic menunjukkan adanya korok-korok dan intrusi-intrusi kecil yang bersusunan gabro serta diorit. Asosiasi batuan tersebut dicirikan pula oleh bentuk dan penyebaran yang tidak teratur. Maksud dari pada tulisan ini adalah untuk mengemukakan data baru mengenai petrologi dan tektonik dari asosiasi batuan-batuan basa dan ultramafic ditinjau dari perkembangan teori dewasa ini. Penyelidikan yang bersifat pendahuluan ini didasarkan pada hasil analisa petrografi batuan, hubungan batuan-batuan satu sama lainnya di lapangan, serta pemetaan yang dilakukan selama berlangsungnya kegiatan explorasi geologi oleh P.T. International Nickel Indonesia. The East Arc (East and South-East Arms) of Sulawesi is largely occupied by a huge complex of ultramafic rocks of presumably late Mesozoic to early Tertiary age. The ultramafic rocks of Sulawesi are closely associated with small masses of gabbroic rocks. The ultramafic complex takes the form of discontinuous belts which can be traced from the eastern-most part of the Eastern Arm west-ward curving to the South-East following the Structural trend of the South-East Arm. The complex is made up chiefly of harzburgite, lherzolite, with some dunite and pyroxenite. Over most parts of the investigated area, these rocks have been serpentinized to variable degrees. Dikes and small intrusive bodies of gabbroic and dioritic composition have been encountered in many places within this belt. This rock assemblage is characterized by irregularity in form and distribution. The purpose of this paper is to bring up-to-date what is known on the petrology and tectonic setting of the mafic and ultramafic rocks in the light of new available data and current theories, the present preliminary study is mainly based upon petrographic data, and field relations obtained from recent geological exploration activities and mapping by P.T. International Niekel Indonesia. 
Perluasan Mengenai Koefisien Realibilitas dari Kuder-Richardson (KR-20) Sunardi Wirjosudirdjo
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 2 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Konsistensi dari item-item dalam suatu test biasanya diukur dengan menggunakan rumus Kuder-Richardson (KR-20), yaitu: (1). Jelas kiranya bahwa (1) hanya dapat digunakan dalam hal penilaian setiap item 0 atau 1. Apabila nilai setiap itemnya tidak 0 atau 1 saja, maka (1) menjadi: (2) dimana si merupakan deviasi standard dari item ke-i. Selanjutnya, rumus (1) maupun (2) biasanya hanya digunakan dalam hal test direncanakan sedemikian rupa agar item-itemnya di dalam test diharapkan homogin. Apabila item-item di dalam test tidak diarahkan agar homogin, maka kita dapat memberikan bobot pada setiap item sehingga r menjadi maksimum. Ternyata bahwa bobot dari item ke-i, ai, harus memenuhi sedemikian rupa sehingga ai si merupakan komponen ke-i dari vector karakteristik yang berkorespondensi dengan harga karakteristik terbesar dari matriks korelasi item-itemnya. Apabila koefisien korelasi antar item semuanya positip, ternyata bahwa ai adalah positip dan tunggal. The internal consistency of a test is usually measured by using Kuder-Richardson's formula called KR-20, i.e. equation (1). It is clear that formula (1) is only applicable to the case where the score of each item is 0 or 1. If the score of each item is not 0 or 1, then (1) can be written as equation (2). Where si is the standard deviation of the ith item. Furthermore, formula (1) or (2) is applicable for the case where the test is designed so that the items in the test intended to be homogeneous. If the items of the test are not intended to be homogeneous, then we can use weighting so that r becomes maximum. It happens that the weight ai of the ith item should satisfy so that ai si is the ith component of the characteristic vector correspond to the greatest eigenvalue of the correlation matrix between items. If the correlation coefficients between item are positive then the ai's are positive and unique. 
Shrodinger Equation in General Relativity Hans J. Wospakrik
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 2 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Abstract. Dalam tulisan ini diturunkan persamaan Schrodinger ke dalam TRU dari suatu partikel bermuatan dalam potensial Coulomb, yang diperoleh sebagai approksimasi dari pada persamaan Klein-Gordon dalam TRU dengan anggapan bahwa energi kinetik dan potensialnya kecil sekali dibandingkan terhadap energi diam mc2. Potensial gravitasi-Newton muncul di dalam formulasi ini sebagaimana diharapkan dalam bentuk non-relativitistiknya. Ditunjukkan pula disini bahwa persamaan radialnya memiliki titik r "“ o sebagai titik singular yang non-essensial, yang mana memberikan eksistensi solusinya dalam penguraian deret sekitar r = o. Solusi approksimasi dengan mempergunakan teori Perturbasi ternyata memunculkan beberapa divergensi yang masih belum terpecahkan dalam tulisan ini. Ringkasan. Schrodinger equation in GR for a charged particle in Coulomb potential is presented, derived from the formulation of Klein-Gordon equation in GR with an assumption that the kinetic and potential energy are small in comparison with the rest energy mc2. The term Newtonian, potential appeared directly as expected from the non-relativistic Schrodinger equation in the Newtonian gravitational field. It is shown that its radial equation posseses a non-essential singular point at r = 0, therefore it has a power series solution about r = 0. Perturbation theory is used to find its approximation solution, encountered some divergences that remained unsolved. 

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