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Jurnal Ilmu Dasar
Published by Universitas Jember
ISSN : 24425613     EISSN : -     DOI : https://doi.org/10.19184/jid.v24i2.36657
Core Subject : Education, Engineering,
Control & Systems Engineering Mathematics
Jurnal ILMU DASAR (JID) is a national peer-reviewed and open access journal that publishes research papers encompasses all aspects of natural sciences including Mathematics, Physics, Chemistry and Biology. JID publishes 2 issues in 1 volume per year. First published, volume 1 issue 1, in January 2000 and avalaible in electronically since 2012 with ISSN 1411-5735 (Print) and avalaible in electronically since 2012 with ISSN 2442-5613 (online). Jurnal ILMU DASAR is accredited SINTA 3 by the Ministry of Education, Culture, Research, and Technology of the Republic of Indonesia (Kemendibukristek) No. 152/E/KPT/2023 (September 25, 2023), Ministry of Research, Technology and Higher Education of the Republic of Indonesia (RISTEKDIKTI), No. 200/M/KPT/2020 (December. 23, 2020). All accepted manuscripts will be published worldwide JID has been indexed in DOAJ, Dimension, OCLC WorldCat, PKP Index, Crossref, Google Scholar, Base, Garuda, and OneSearch. JID have been collaborated in KOBI-ID (Konsorsium Biologi Indonesia) and HKI (Himpunan Kimia Indonesia) since 2017.
Arjuna Subject : Matematika - Kontrol dan Optimasi
Articles 415 Documents
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Handling Outlier in Two-Ways Table by Robust Alternating Regression of FANOVA Models: Towards Robust AMMI Models Alfian Futuhul Hadi
Jurnal ILMU DASAR Vol 12 No 2 (2011)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

AMMI (Additive Main Effect Multiplicative Interaction) model for interactions in two-way table provide the major mean for studying stability and adaptability through genotype × environment interaction (GEI), which modeled by full interaction model. Eligibility of AMMI model depends on that assumption of normally independentdistributederrorwithaconstantvariance. Nowadays,AMMImodelshavebeendevelopedforany conditionofMETdatawhich violencethenormality,homogeneityassumpion. Wecanmentioninthisclassof modelling as M-AMMI for mixed AMMI models, G-AMMI for generalized AMMI models. The G-AMMI was handling non-normality i.e categorical response variables using an algorithm of alternating regression. While in handling the non-homogeneity in mix-models sense, one may use a model called factor analytic multiplicative. The development of AMMI models is also to handle any outlier that might be found coincides withnon-homogeneityconditionofthedata. Inthispaper,wewillpresentofhandlingoutlierinmultplicative model by robust approach of alternating regression algorithm.
On τ [M ]-Cohereditary Modules S Suprapto; Sri Wahyuni; Indah Emilia Wijayanti; I Irawati
Jurnal ILMU DASAR Vol 12 No 2 (2011)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

Let R be a ring with unity and N a left R-module. Then N is said linearly independent to R (or N is R-linearly independent) if there exists a monomorphism φ : R(Λ) → N . We can define a generalization of linearly independency relative to an R-module M. N is called M-linearly independent if there exists a monomorphism φ:M(Λ) →N. Amodule  iscalled M-sublinearly independentif  is a factormodule of a module which is M-linearly independent. The set of M-sublinearly independent modules is denoted by τ [M ]. It is easy to see that τ [M ] is subcategory of category R-Mod. Furthermore, any submodule, factor module and external direct sum of module in τ [M ] are also in τ [M ]. A module is called τ [M ]-injective if it is P-injective, for all modules P in τ [M ]. Q is called τ [M ]-cohereditary if Q ∈τ [M ] and any factor module of Q is τ [M ]-injective. In this paper, we study the characterization of category τ [M ]-cohereditary modules. For any Q in τ [M ], Q is a τ [M ]-cohereditary if and only if every submodule of Q-projective module in τ [M ] is Q-projective. Moreover, Q is a τ [M ]-cohereditary if and only if every factor module of Q is a direct summand of module which contains this factor module. Also, we obtain some cohereditary properties of category τ [M ]. There are: for any R-modules P, Q. If Q is P-injective and every submodule of P is Q-projective, then Q is cohereditary (1); if P is Q-projective and Q is cohereditary, then every submodule of P is Q-projective (2); a direct product of modules which τ [M ]-cohereditary is τ [M ]-cohereditary (3). The cohereditary characterization and properties of category τ [M ] above is truly dual of characterization and properties of category τ [M ].
CPO Bleaching Optimization Using Activated Charcoal And Bentonite A Abdullah; Yudhistira Abdi Atmanegara; Radna Nurmasari
Jurnal ILMU DASAR Vol 11 No 2 (2010)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

Research of Crude Palm Oil (CPO) bleaching optimization using activated charcoal and bentonite on biodiesel synthesize had been done. The aim of this research is to find optimum condition of bleaching process, by making variation of activated charcoal and bentonite ratio as adsorbent (1:0, 1:10, 1:15, 1:20 and 0:1), temperature (non heated, 40-50oC, 60-70oC, 80-90oC and 100-110oC) and time (1; 1,5; 2; 2,5 and 3 hours). The results of this research will be used as optimal conditions for synthesizing biodiesel. Optimum condition was determined by observing the lowest absorbent which was measured by using spectronic-20 on 445 nm. Results showed that optimum activated charcoal and bentonite adsorbent ratio was 0:1, optimum temperature was 100- 110oC and optimum time was 3 hours.
The Improvement of Waste Cooking Oil Quality using H5-NZA Adsorbent in Fluid Fixed Bed Reactor Donatus Setyawan P Handoko
Jurnal ILMU DASAR Vol 10 No 2 (2009)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

Investigation of waste cooking oil quality improvement have been done using H-zeolite as an adsorbent and fluid fixed bed reactor which was operated in a various temperatures. H-zeolite adsorbent was prepared through physical and chemical treatments as follows: washing, acid, calcination and oxidation. The characterization of this adsorbent covered cations contain (Pb, Cu, Zn, Na, K, Ca and Fe) using AAS, Si/Al ratio using AAS, surface area spesific, pore volume as well as pore diameter using surface area analyzer NOVA 1000, and acidity using gravimetric method with amonia adsorption. Quality parametric of cooking oil that were investigated covered water contain, acid as well as peroxide value and density. Sample of waste cooking oil was taken from cooking oil which have been previously used three times for frying kerupuk, tempe and tahu. Fifty milliliter waste cooking oil was flowed throught 10 g H-zeolite adsorbent in fluid fixed bed reactor which was operated at various temperatures (50, 70, 90, 110oC). The oil was placed in the bottle to be analyzed. The results showed that the adsorpstion process using H-zeolite adsorbent and fluid fixed bed reactor could reduce the water contain, acid and peroxide value and density, thus it improved quality of waste cooking oil. The optimum temperature was 70oC.
Optimum Simplex Lattice Designs of Low Order Multiresponse Surface Model by D-Optimum Criterion Ruslan Ruslan; Susanti Linuwih; Purhadi Purhadi; Sony S
Jurnal ILMU DASAR Vol 11 No 2 (2010)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

Simplex lattice design is a part of mixture designs has patterns simplex {q, m} where q is number of factors andm is degree of polynomial. If entangling a number of the response variables which measured from a number offactors called the multiresponse surface model, hence to obtain get the matrix designs of optimum mixture atmultiresponse surface model will be used by the optimum-D criterion. In this research, we studied abouttheoretical approach to get optimum simplex lattice design of low order multiresponse surface model byoptimum-D criterion. We assumed that design points have similar weighted values.
Spline Estimator in Multi-Response Nonparametric Regression Model Budi Lestari; Nyoman Budiantara; Sony Sunaryo; Muhammad Mashuri
Jurnal ILMU DASAR Vol 11 No 1 (2010)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

In many applications two or more dependent variables are observed at several values of the independent variables, such as at time points. The statistical problems are to estimate functions that model their dependences on the independent variables, and to investigate relationships between these functions. Nonparametric regression model, especially smoothing splines provides powerful tools to model the functions which draw association of these variables. Penalized weighted least-squares is used to jointly estimate nonparametric functions from contemporaneously correlated data. In this paper we formulate the multi-response nonparametric regression model and give a theoretical method for both obtaining distribution of the response and estimating the nonparametric function in the model. We also estimate the smoothing parameters, the weighting parameters and the correlation parameter simultaneously by applying three methods: generalized maximum likelihood (GML), generalized cross validation (GCV) and leaving-out-one-pair cross validation (CV). 
Embedding K2,3,m Graphs on Torus Liliek Susilowati
Jurnal ILMU DASAR Vol 10 No 2 (2009)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

 This script aim to determine the maximal value of m of K2,3,m graph so that can be redrawn on torus without intersection of edges. Hereinafter, will be determined the toroidal crossing number of  K2,3,m which nontoroidal by the m minimize. To determined if the  K2,3,m graph is toroidal, it is enough with drawn the graph on torus without intersection of edges, whereas, to determined if it is nontoroidal, besides with drawn, is also needed by theorem about properties of graph that containing K5-subdivision. Then to determined the toroidal crossing number was used the technique by proof of the crossing number of  K2,2,3 and looked for of all probabilities of the edges is going to intersect. In this research, was obtained the result that maximal value of m of  K2,3,m so that can be drawn on torus without intersection of edges is 3, while the toroidal crossing number of  K2,3,4 is 2, and our conjecture is tcr().
OLS, LASSO dan PLS Pada data Mengandung Multikolinearitas Yuliani Setia Dewi
Jurnal ILMU DASAR Vol 11 No 1 (2010)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

Correlation between predictor variables (multicollinearity) become a problem in regression analysis. There are some methods to solve the problem and each method has its own complexity. This research aims to explore performance of OLS, LASSO and PLS on data that have correlation between predictor variables. OLS establishes model by minimizing sum square of residual. LASSO minimizes sum square of residual subject to sum of absolute coefficient less than a constant and PLS combine principal component analysis and multiple linear regression. By analyzing simulation and real data using R program, results of this research are that for data with serious multicollinearity (there are high correlations between predictor variables), LASSO tend to have lower bias average than PLS in prediction of response variable. OLS method has the greatest variance of MSEP, that is mostly not consistent in estimating the Mean Square Error Prediction (MSEP). MSEP that is resulted by using PLS is less than that by using LASSO. 
Adsorption of Pb (II) by Chitosan Resulted from Bakau Crab’s Shell (Scylla sp) Chitin Isolation Indah Sanjaya; Leny Yuanita
Jurnal ILMU DASAR Vol 8 No 1 (2007)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

The aim of this research was to find the effect of interaction time on adsorption of Pb (II) by chitosan.The research was done in three stages: (i), the isolation of chitin from Bakau Crab’s Shell (Scylla sp); (ii), chitin deacetilation becomes chitosan; (iii), interaction of chitosan to Pb (II). Qualitative analysis was done by ninhidrin test, while quantitatively was carried out by infra red spectra. Langmuir Hinshelwood kinetica equation was applied to determine adsorption velocity of chitosan to Pb (II), and one way analysis of variance to determine the effect of interaction time to adsorption of Pb (II) (α = 5%). Interaction time was 10, 30, 50, 70, 90, 110, and 130 minutes. The results showed that: (a) deacetilation degree of chitin and chitosan were 35.94 and 65.28 % respectively, (b) ninhidrin test was resulting purple colour for chitosan, (c) period time of equilibrium to adsorp Pb (II) was 70 minutes. From Langmuir- Hinshelwood kinetica equation resulting that k1 = 0.0014 minutes-1 and K = 1189.6 M-1. Range of chitosan adsorption velocity to Pb (II) was 2977. 10-7 to 3.275. 10-7 mol/L minutes.
Characterisation of Arsenic Distribution in the Contaminated Sediments Using Principal Component Analysis based on The Four-Step Extraction Protocol Damris Muhammad
Jurnal ILMU DASAR Vol 9 No 2 (2008)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

The goal of this work was to characterize the distribution of arsenic in the contaminated sediments using principal component analysis to interpret data generated by a four-step extraction protocol, an operationally defined fractionation procedure used to study the availability and mobility of trace metals available in environmental solid samples. Sediment cores collected from contaminated site of Port Kembla Harbour, Australia were sliced into 2-cm thin layers. Each layer was sieved into three different grain sizes (<63μm, >63 μm and >250 μm) under inert N2 atmosphere. Redox potential, pH, dissolved As in the interstitial water, exchangeable As, AVS-As, reducible As, and residual As data provided some reliable information concerning the characteristics of As distribution in the contaminated sediments. Principal component analysis indicated As in the fine grain fraction and redox potential developed in the sediment contributed more significantly in controlling the concentration of dissolved As in the sediment interstitial water. It appeared that precipitation-dissolution reaction of As taken place in the sediment involved the fine grain solid phase and occurred actively at redox transition zone at which it changed significantly and the concentrations of dissolved As were high.

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