Page 2 (data 31 to 60 of 77) | Displayed ini 30 data/page
Corresponding Author
Erdawaty Kamaruddin
Institutions
(a) Vocational Education Program, Informatics Education Studies Program, State University of Jakarta, Jakarta, Indonesia
*erda_kamaruddin[at]yahoo.com
(b) Graduate Program, Education Research and Evaluation Program, State University of Jakarta, Jakarta, Indonesia
Abstract
Scoring is a process of converting test answers into numbers which are quantitative values of an answer to an item in an instrument. The numbers of the scoring results will then be converted into values through a certain processing process. The scoring model is a way of scoring a test. The scoring models can result in inappropriate score, where students cannot answer the easy items correctly but successfully answer difficult items. The research data were analyzed using the Donlon and Fisher method through biserial correlation. The study used the experimental method. The study population was high school students in DKI Jakarta, samples of seven hundred students were taken using proportional random sampling techniques. Data collection is done through Mathematics tests in the form of multiple choices using the correct score and punishment score scoring model. The results of data analysis showed the value of thit = 13.0750 and ttab = 1.645. Because of thit > ttab, it was decided to reject the null hypothesis. Thus it can be concluded that in the five option multiple choice objective test, the punishment score scoring model produces a more reasonable score than the correct score scoring model.
Keywords
scoring model, correct score, punishment score, math test
Topic
Mathematics
Corresponding Author
Selly Anastassia Amellia Kharis
Institutions
a) Faculty of Mathematics and Science, Universitas Negeri Jakarta
Jalan Rawamangun Muka, Jakarta 13220, Indonesia
*sellyanas[at]yahoo.com
Abstract
Dengue virus is a member of the genus Flavivirus of the family Flaviviridae. The global incidence of dengue has grown dramatically in recent decades. The dengue virus has 10 viral proteins, 3 structural proteins and 7 nonstructural proteins. To perform the molecular functions required for invasion, replication, and spread of the virus, proteins encoded by dengue virus must interact with and alter the behavior of protein networks in both hosts. In this paper, we present a clustering dengue virus based on Tribe Markov Clustering (T-MCL). T-MCL is a graph clustering method which is the modification of Markov Clustering Algorithm (MCL). T-MCL process is built using R programming language is applied to PPI networks of 26 dengue virus genes data obtained from Virus Pathogen Database and Analysis Resource (ViPR) in 2010-2014. Because data processed in bioinformatics usually have a vast amount of information and have high sparsity, a method to save memory usage and make the computing process faster is needed. This research concludes that T-MCL method produces 7 groups of 26 dengue viral protein sequences with groups having one or more group centers using sparse matrix.
Keywords
Tribe Markov Clustering; Sparse Matrix; Dengue Virus
Topic
Mathematics
Corresponding Author
Vingky Zulfa Asria
Institutions
Departemen Pendidikan Matematika, Universitas Pendidikan Indonesia, Jl. Dr. Setia Budhi No. 229, Bandung 40154, Indonesia
*vingky22[at]upi.edu
Abstract
This study aims to investigate whether or not there the difference between students- mathematics concept comprehension ability by using Think Pair Share (TPS) approach and by using direct learning reviewed based on their preliminary ability (high, medium, and low level). This research was a quasi experiment by using posttest only control group design that aimed to investigating the cause and effect by treating one of classes, and comparing the result of the class that was treated differently. Methods of data collection in this study through observation, documentation and test, involving 42 students of senior high school in Pekanbaru in the even semester of 2017. T test was used to analyzed the data. The results showed that there are difference between students- mathematics concept comprehension ability by using TPS approach and by using direct learning reviewed on their preliminary ability to learning outcomes. Classes with TPS approach give better learning outcomes than the ones in direct learning classes. Thus, in general the implementation of TPS approach influenced students- mathematics concept comprehension ability reviewed based on their preliminary ability at Senior High School in Pekanbaru.
Keywords
Think Pair Share, Students- Mathematics Concept Comprehension Ability, Mathematics Preliminary Ability
Topic
Mathematics
Corresponding Author
Rooselyna Ekawati
Institutions
Universitas Negeri Surabaya
Abstract
Covariational reasoning plays significant role for solving problems. This study examines the covariational reasoning of postgraduate students when solving mathematics problems such as fraction, velocity and acceleration, proportion, and integral. 26 postgraduate students of mathematics education are involved in this study. Generally, mental action of students more prominent on fraction and proportion than on the other issues. On fraction and proportion problems, all students are able to fulfill all mental actions such as coordinating the value, the direction, and the amount of change of one variable, and also coordinating the average and the instantaneous rate of change of the function. However, on velocity, acceleration, and integral problems students can not show their mental actions well. The shape of their graph are irrespective with initial point, so that they only fulfill 3 of 5 mental actions in covariational reasoning. These findings suggest that learning in mathematics should place increased emphasis on problem involving graph to promote covariational reasoning of the students.
Keywords
Covariational reasoning, postgraduate students, fraction, velocity, acceleration, proportion, integral
Topic
Mathematics
Corresponding Author
Meiliasari Meiliasari
Institutions
Universitas Negeri Jakarta
Jurusan Matematika UNJ
Gd. Dewi Sartika Lt.6
Kampus A UNJ, Jalan Rawamangn Muka
Jakarta Timur
Abstract
This paper is a part of a larger study aiming to develop pre-service teachers- pedagogical content knowledge (PCK) through lesson study in a teaching practicum. PCK is often explored and discussed within the act of teaching. Since teaching cannot be separated from planning, the successfulness of a lesson is a result of how it is planned. This paper discusses pre-service teachers- PCK in the planning of a lesson study using the Knowledge Quartet framework. Case study methodology was used. Data for this paper were collected through video and fieldnotes from four lesson study groups in two secondary schools in Jakarta, Indonesia. It involved ten pre-service teachers, five mentor teachers and two lecturers. The analysis of the data shows that foundation, transformation, and connection dimensions of the Knowledge Quartet are evident in the planning. It also shows the interconnectedness of the three dimensions.
Keywords
Mathematics, Pedagogical Content Knowledge, Pre-service Teachers, Planning
Topic
Mathematics
Corresponding Author
Wahidah Sanusi
Institutions
a) Department of Mathematics, Universitas Negeri Makassar, Parangtambung, Makassar, 90224, Indonesia
*wahidah.sanusi[at]unm.ac.id
b) Department of Statistics, Universitas Negeri Makassar, Parangtambung, Makassar, 90224, Indonesia
Abstract
A multivariate analysis on rainfall variables is needed to understand relationships among characteristics of rainfall variables. The monthly rainfall amount records from three stations during the period of 1985-2014 in Makassar are used. The Standardized Precipitation Index is employed to classify data into wet category. The aim of this study is to investigate the most appropriate joint probability distribution function of wet duration and wet severity based on bivariate Archimedean copulas. The copulas are Gumbel-Hourgaard, Frank, Joe, and Clayton. Parameter of copulas are estimated by Kendall-s tau correlation coefficient. The study result show that the Frank copula was identified as the best copula in joint modelling between wet duration and wet severity at MMP and BRP stations, meanwhile the Gumbel-Hougaard copula at BBMKG station. This results could be useful information for determining return periods of wet condition characteristics.
Keywords
Bivariate distributions; copula; wet duration; wet severity
Topic
Mathematics
Corresponding Author
Dahlia Fisher
Institutions
1Department of Mathematic Education, Postgraduate School, Indonesian Education University, Jl. Setiabudi No. 229 Bandung.
2 Fakultas Keguruan dan Ilmu Pendidikan Unpas, Jl. Tamansari No.6-8 Bandung 40116.
Abstract
Abstract. This study aims to determine students mathematical reasoning abilities on systems of linear equations and aplications. This research was conducted in the odd semester of the 2018/2019 academic year. The population in this study were all students of class VIII in one of the Junior High School in Bandung with a total sample of 32 students. The research instrument used in the form of test mathematical reasoning abilities. The research method used is qualitative research design. Data were analyzed using data reduction, data presentation, and conclusion. Based on the results of the study it can be concluded that the mathematical reasoning ability of junior high school students in systems of linear equations and aplications is still low.
Keywords
mathematical reasoning ability, systems of linear equations and aplications.
Topic
Mathematics
Corresponding Author
Suwardi Annas
Institutions
a) Department of Statistics, Universitas Negeri Makassar
Jalan Mallengkeri, Makassar 90224, Indonesia
*suwardi_annas[at]unm.ac.id
Abstract
The number of natural disasters in Indonesia is very high occurrences. However, the data collected based on natural disasters has a complexity data structure. One of the efforts to make prevention by grouping the areas of natural disaster. The proposed methods to analyze the data are k-means and Geographical Information System (GIS). The k-means method has mapped the areas of natural disaster based on districts into 3, 4, 5, 6 and 7 of clusters. This result showed that the best cluster resulted by 7 of clusters with the smallest root mean square standard deviation (RMSD) than other clusters. Although k-means has obtained the best cluster, however, it was difficult to present the clustering of natural disaster districts in the map. Therefore, a GIS method was used to improve the cluster visualization of k-means. The main purpose of GIS is to develop a visual map of the natural disaster districts according to a given cluster of the k-means. GIS method can be a useful tool to improve the visualization information of k-means clustering and enables interpretation of the disparities of natural disaster by districts in Indonesia.
Keywords
GIS; k-means; Natural disaster; RMSD
Topic
Mathematics
Corresponding Author
anik yuliani
Institutions
IKIP Siliwangi
Abstract
Individuals who have critical thinking ability tend to be more careful in drawing conclusions, this is because these individuals have used the process of analyzing, explaining, developing, and choosing ideas. This study aims to analyze students critical thinking ability and self-confidence in circle material. This study analyzed qualitatively with descriptive analysis method. The instruments used in this study were tests of critical thinking skills, interview guidelines and self-confidence scale. The sample of this study was class VIII students in one of the junior high schools in the city of Cimahi as many as 30 students. Based on the results of data analysis, it can be concluded that students critical thinking skills are still quite low, where some students still have difficulty in carrying out the preparation steps by choosing and determining the strategies needed to solve the problem. However, they have pretty good self-confidence.
Keywords
Critical Thinking, Self Confidence
Topic
Mathematics
Corresponding Author
Iyam maryati
Institutions
Institut Pendidikan Indonesia *1
Abstract
The purpose of this research article is to analyze the effectiveness of using the ToolPak analysis method on matrix geogebra.. The method of this study is an experimental method with quasi-experimental design. The sample in this study is students at the semester 2 of the 2017/2018 academic year at a private college in Garut district, Indonesia. The statistical test used was one sample t test. Hypothesis testing is based on test criteria if the asymp (2-tailed) value greather than alpha then null Hypothesis is accepted. from the results of data processing there is an asymp value (2-tailed) equals to 0.008 smaller than alpha equals to five percent which means null Hypothesis is not accepted. As a conclusion from this study the use of effective ToolPak analysis methods to improve students mathematical reasoning abilities in matrix algebraic material.
Keywords
Mathematical Reasoning Ability, ToolPak Analysis Methods
Topic
Mathematics
Corresponding Author
Rahayu Kariadinata
Institutions
1 Department Mathematics of Education, UIN Sunan Gunung Djati Bandung
1 Department Mathematics of Education, Universitas Pasundan Bandung
*rahayu.kariadinata[at]uinsgd.ac.id
Abstract
The purpose of this study was to determine the increase and achievement of mathematical spatial abilities based on high, medium, and low categories and to find out the attitudes of students towards learning through Wingeom. This research is a quasi-experimental study conducted on class IX students of one junior high school in Bandung Regency. Based on the data gain and posttest data it was stated that there were differences in the significant increase in mathematical spatial ability in both the PAM category (early mathematical knowledge/ pengetahuan awal matematika) and overall experience differences with the high mean. In general, students respond well to the use of learning media through the Wingeom application with an analysis of 2.76. Thus learning through the Wingeom application can be used as an alternative to improve the spatial abilities and mathematical dispositions of students
Keywords
Wingeom Application, Spatial Ability, Mathematical Disposition
Topic
Mathematics
Corresponding Author
Esih Sukaesih
Institutions
UIN Sunan Gunung Djati Bandung
Abstract
Sarrus-s method is a rule to compute the determinant of a 3x3 matrix, by write out six entries of matrix (two columns or rows of matrix). Recently in 2014, Hajrizaj gave three new methods to compute determinant of a 3x3 matrix, by write out four entries of a 3x3 matrix. We expand the Hazrijaz-s method into fourteen method to compute determinant of a 3x3 matrix.
Keywords
matrix, determinant, Sarruss method
Topic
Mathematics
Corresponding Author
Eva Dwi Minarti
Institutions
a)mathematics education, Universitas Pendidikan Indonesia b) IKIP Siliwangi
*eva.arti[at]student.upi.edu
Abstract
This study aims to examine the effect of the mathematical disposition of junior high school students on mathematical communication skills. This study used a correlation method with a quantitative approach. The subjects in this study were 31 student which is eighth grade at one of the junior high schools at Bandung. The instrument used consists of a test instrument which is a test of mathematical communication skills with the indicator is forming a mathematical model; arguments based on analysis of images and concepts; and the appearance of conceptual models, such as images, diagrams, tables and graphs and non-test instruments in the form of questionnaires about students mathematical dispositions. The results of the study show that the mathematical disposition of junior high school students has a positive influence on mathematical communication skills. Students who have a positive disposition towards mathematical learning tend to be active and can express ideas well.
Keywords
Mathematical Disposition, Mathematical Communication Ability, Middle School Students
Topic
Mathematics
Corresponding Author
Herlin Fransiska
Institutions
a) Dept. of Statistics, University of Bengkulu.
*hfransiska[at]unib.ac.id
Abstract
Rainfall is an essential problem in Bengkulu City. Heavy rainfall can have bad impacts such as floods and landslides. This study aims to model monthly rainfall data in Bengkulu City by considering location factors. These locations are the coast, lowlands, and highlands so that they have different rainfall. Modeling using space-time data using the Generalized Space-Time Autoregressive (GSTAR) method. Rainfall data used monthly rainfall data from 2008 to 2017. The data source is BMKG. Stages of analysis are model identification, estimation of model parameters, and model validation. The best model can be used as a reference and input for climate and weather research in Bengkulu for the formulation of policies in disaster management by local governments through the National Disaster Management Agency (BNPB) for Bengkulu City.
Keywords
Bengkulu City, GSTAR, Rainfall, Space-Time Data
Topic
Mathematics
Corresponding Author
Iwan Sugiarto
Institutions
a) Department of Mathematics, Parahyangan Catholic University
*iwans[at]unpar.ac.id; iwan301[at]gmail.com
**ferryjp[at]unpar.ac.id
Abstract
Problems in the network (graph theory) which are mainly related to synchronization problems can be modeled and solved using max-plus algebra. The problem above is that using ordinary mathematics in the form of non-linear mathematical models, using max-plus algebra can be a linear model in its operation. Problems that can be modeled and solved using Max-Plus Algebra, including the problem of scheduling public transportation. Congestion is now a common thing in big cities . One of the main factors causing traffic congestion is the lack of use of public transportation, one of which is the DAMRI bus. Referring to developed countries, such as Japan, the timely departure of public transportation is quite crucial in an effort to foster public interest in using public transportation rather than private vehicles. In this research, a DAMRI bus scheduling model will be developed in Bandung using Max-Plus Algebra. In the assessment, selected two DAMRI bus route in the city of Bandung, namely Dipatiukur - Leuwi Panjang and Ledeng - Leuwi Panjang. Both routes are transformed into a directed graph and then modeled for scheduling with Max-Plus Algebra. After being modeled, the eigenvalues and eigenvectors of the system will be determined. The eigenvalue represents the period (in minutes) of departure at each stop point or stop and the eigenvector represents the initial time of departure of the DAMRI bus in the city of Bandung. Determination of eigenvalues and eigenvectors using the application Scilab 5.3.3 and Max-Plus Toolbox Algebra. The results show the performance of the bus departure scheduling system, which means that every 3,7492308 minutes departs at each stop / stop. As for the bus departure schedule, if the DAMRI bus operation starts at 05.00, the result that departs first is the departure from the Pasir Kaliki stop point to Hasan Sadikin Hospital stop, followed by bus departures at other stops. With the bus departure scheduling system at each bus stop or terminal, it is expected that the Bandung City Transportation Department will pay attention to the DAMRI bus departure scheduling system so that there is no late departure at each stop.
Keywords
max-plus algebra, scheduling, eigenvalue and vector
Topic
Mathematics
Corresponding Author
Vera Maya Santi
Institutions
a) Department of Statistics, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta
b) Department of Statistics, Faculty of Mathematics and Natural Science, Institut Pertanian Bogor
Abstract
Generalized Linear Models (GLM) has been used for modeling various types of data where the distribution of response variables is an exponential family. Common examples include those for binomial and Poisson response data. The GLM regression model determines the structure of the explanatory variable or covariate information, where the link function specifically determines the relationship between the regression model and the expected value of the observation. Bayesian techniques can now be applied to complex modeling problems where they could not have been applied previously. This method is a simpler model than traditional frequentist techniques. Estimating the regression model parameters is done by using Bayesian GLM. In this paper, we study conducted modeling for the number of malaria sufferers in Indonesia using the Bayesian GLM approach with several prior distributions. There are 6 independent variables that have a significant effect on the regression model, that is population density, Gini ratio, proper sanitation access, healthy zoning, integrated control and total sanitation. Based on Akaike Information Criterion (AIC) and standard error, the Bayesian GLM estimation results for Cauchy and Normal prior distribution will converge to the same value as that obtained by GLM.
Keywords
Malaria, Generalized Linear Models, Regression Parameter, AIC, Standard Error, Bayesian GLM.
Topic
Mathematics
Corresponding Author
Andang Sunarto
Institutions
1.IAIN Bengkulu, Indonesia.
2.Faculty of Science and Natural Resources,
Universiti Malaysia Sabah, Malaysia.
Abstract
In this study, we examines the effectiveness of the Preconditioned Accelerated Over-Relaxation (PAOR) iterative method together with an unconditionally implicit finite difference approximation equation to solve space-fractional diffusion equations (SFDE-s) by using the Caputo-s space-fractional derivative. For this, the implicit approximation equation and preconditioned matrix are used to construct the corresponding preconditioned linear system in which its coefficient matrix is large scale and sparse. Then, formulation and implementation the PAOR iterative method are also presented. Based on numerical algorithm results of the proposed iterative method, it can be concluded that the proposed iterative method (PAOR) is superior to the PSOR and PGS iterative methods.
Keywords
PAOR, Space-fractional diffusion equations, Implicit finite difference, Caputo-s
Topic
Mathematics
Corresponding Author
zulfi Amri
Institutions
a) Program Studi Magister Pendidikan Matematika PPs UMSU
b) Program Studi Pendidikan Matematika UMSU
c) Program Studi Magister Pendidikan Matematika Universitas Bengkulu
Abstract
A graf called odd graceful graph if there is an injectivemapping f:V(G)→{0,1,2,…,2q-1} such that for each edge xy∈E(G) labeled by |f(u)-f(v)|, and the results willform a label on the edge {1,3,5,…,2q-1} which is bijective. Variabel q is the number of edges. This paper purpose is to construct the formula of odd graceful labelling on the ilalang graph (S_n,3) and it-s variation.
Keywords
Odd Labeling; Ilalang Graph
Topic
Mathematics
Corresponding Author
Sumanang Muhtar Gozali
Institutions
UPI
Abstract
In this paper we review the main properties of cyclically ordered groups . Moreover, for two cyclically ordered groups A and B, we construct a cyclic order on the direct product A×B.
Keywords
cyclic order, cylic ordered group, direct product
Topic
Mathematics
Corresponding Author
Rismawati Ramdani
Institutions
UIN Sunan Gunung Djati Bandung
Abstract
Let G be a graph and k be a positive integer. A total k-labeling of G is a map f from vertex set union edge set of G to integers 1,2,3, until k. The vertex weight v under the labeling f is the sum of the label of v and the label of edges incident with v. A total k labeling of G is called vertex irregular if there are no two vertices with the same weight. The total vertex irregularity strength of G is the minimum k such that G has a vertex irregular total k-labeling. Let G and H be two connected graphs. Let o be a vertex of H . The comb product between G and H in the vertex o is a graph obtained by taking one copy of G and cardinality of G copies of H and grafting the i th copy of H at the vertex o to the i th vertex of G. In this paper, we determine the total vertex irregularity strength of come product of cycle and other graph.
Keywords
Comb product graph, cycle, the total vertex irregularity strength, total vertex irregular labeling.
Topic
Mathematics
Corresponding Author
Eti Wiraningsih
Institutions
1Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Jakarta, DKI-Jakarta, Indonesia
2Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Padjadjaran, Bandung-West Java, Indonesia
a)Corresponding author: etidwi[at]gmail.com
Abstract
This paper considers deterministic model for transmission dynamics of rabies virus in the free-ranging dog population. The endemic equilibrium is found and its existence depends on the value of the basic reproduction number. The effect of vaccination in susceptible dog population is considered on the model. We then present the effective reproduction number in the present of the vaccination. Further we developed the formula to obtain the optimal vaccination to eliminate the endemic equilibrium, via the Pontryagin Maximum Principle. Some numerical example are presented to show the properties of the optimal control solution.
Keywords
Rabies mathematical model, effective reproduction number, optimal control.
Topic
Mathematics
Corresponding Author
Basuki Basuki
Institutions
Institut Pendidikan Indonesia Garut *1, 3, 4, 5
Universitas Padjajaran Bandung *2
Abstract
In this paper we discuss the issue of linear algebra on the investment portfolio optimization models. It was assumed that stock returns are analyzed have a certain distribution, so that the mean and variance and covariance between the separation can be determined. Return of some stock used to form a vector averaging, and the number of shares used as the basis to form a unit vector. While the variance of each stock as well as the covariance between stocks, is used to form a covariance matrix. The investment portfolio was formed consisting of several stocks, in order to maximize the expected return and minimize risk. The portfolio optimization was performed using linear algebra approach. The result is a formula used to determine the optimum composition of the portfolio weights. The resulting formula is very useful for the analysis of the investment portfolio optimization.
Keywords
linear algebra, Optimal Invesment Portfolio
Topic
Mathematics
Corresponding Author
Siti Rohmah Rohimah
Institutions
UNJ
Abstract
The AIDS Commission (KPA) recorded the highest number of sufferers of Human Immunodeficiency Virus (HIV) and Acquired Immune Deficiency Syndrome (AIDS) in East Jakarta in DKI Jakarta. This study aims to determine the factors that influence spatially and non-spatially on the number of people with HIV / AIDS in East Jakarta. The results of this study are expected to be useful in eradicating HIV / AIDS, especially in East Jakarta and generally for other regions that have the same characteristics as East Jakarta. The parameter estimation method in this study used the maximum likelihood method. The results showed that spatial and non-spatial factors had a significant effect with alpha 5%. In addition, the addition of spatial factors gave smaller standard error value. Therefore, it can be concluded that the Poisson autoregressive spatial model provided better parameter estimation results than the Poisson regression model.
Keywords
HIV / AIDS, Spatial Autoregressive Poisson, Poisson Regression, Maximum Likelihood
Topic
Mathematics
Corresponding Author
Dewi Murni
Institutions
UNP
Abstract
Low Birth Wieght (LBW) is one of the factors triggering the occirence of infant mortality in the neonatal period. Factors affecting the risk of low birth weight is a factor of maternal death, fetal factors, infant birth weight factors and socio economic factors. That this study aims to look at the factors that affect the risk of death LBW base on the chance of death factors. One statistical analysis used in looking at the relationship of LBW risk of death is the Cox regression model. The results of this study indicate that the factors that influence the risk of LBW death are gestational age and infant birth weight. Opportunity risk of death for LBW who have gestational age <37 weeks is 8.424 times greater than the LBW who have ≥37 weeks gestation. Then chances LBW risk of death with birth weight <1499 gr was 8.547 times greater than the LBW with birth weight 1500-2499 gr.
Keywords
LBW, neonatal, Cox Regression
Topic
Mathematics
Corresponding Author
Syafruddin Side
Institutions
1Department of Mathematics, Faculty of Mathematics and Natural Sciences,Universitas Negeri Makassar
Abstract
This study discusses the process of the SEIRS model on the spread for Hepatitis B. The mathematical model of the SEIRS for Hapatitis B is a model by dividing the population class into four variables namely Susceptible-Exposed-Infected-Recovered-Suspected (SEIRS) which is a four dimensional nonlinear differential equation system. The model obtained analyzed and simulated using data assuming the initial values of variables and parameters and processed using Maple Software. The simulation results provide predictions of the number of Hepatitis B sufferers who can be a preventative solution. If R0>1 , the hepatitis B disease becomes endemic and if R0>=1, the hepatitis B disease will disappear by itself.
Keywords
Hepatitis B, SEIRS Model, Endemic and free disease
Topic
Mathematics
Corresponding Author
Pradipta Swiantana Prayoga
Institutions
Universitas Pendidikan Indonesia
Abstract
Introduced by Z. W. Birnbaum and W. Orlicz in 1931, Orlicz spaces are generalization of the Lebesgue spaces. There are two kinds version of Orlicz spaces which are continuous Orlicz spaces denoted by (L_Φ) and discrete Orlicz spaces denoted by (l_Φ). The properties of (L_Φ) spaces are already known. The aim of this study is to discuss the properties of discrete Orlicz spaces. We will see that the properties of continuous Orlicz spaces are also valid on discrete Orlicz spaces. Methods in this research are by using the properties of Young function and Luxemburg Norm. The result of this research is to show that several properties of continuous Orlicz space are also valid on discrete Orlicz space.
Keywords
Lebesque spaces, continue Orlicz spaces, discrete Orlicz spaces
Topic
Mathematics
Corresponding Author
Ferra Yanuar
Institutions
Andalas University
Abstract
Structural Equation Modeling (SEM) is a statistical technique that is able to analyze relationships between latent variable and its measured variables and amongs latent variables. The purposes of this present study are to construct political participation model in Padang, West Sumatera using SEM approach then implement the reliability tests to the proposed model. The political participation model in this study uses a multidimensional construct, such as Political awareness, political knowledge and political participation. Meanwhile each construct is measured by two and more measured variables. The multidimensional construct reliability in this study was estimated by using Coefficient of Reliability (CR), Coefficient of Reliability Composite Score McDonald-s ω, and Coefficient of Reliability Construct Weighted Ω_ω. Simulation study is done for several size samples and this study yield that all three indicator of reliability tests resulted similar values. This resulted informs that any constructs in proposed model of political participation is reliable and the coresponding proposed model could be accepted.
Keywords
Multidimensional construct, political participation, reliability tests, Structural Equation Modeling (SEM)
Topic
Mathematics
Corresponding Author
Hamdan Sugilar
Institutions
1 Department Mathematics of Education, UIN Sunan Gunung Djati Bandung
2 Department Mathematics of Education, Universitas Pasundan
*rahayu.kariadinata[at]uinsgd.ac.id
Abstract
The purpose of this study was to determine the differences in the increase in students spatial thinking abilities; differences in achievement of spatial thinking skills based on students Early Mathematics (PAM) knowledge; and the difference in increasing the mathematical character of students between before and after mathematics learning using the Cabri 3D software with a scientific approach. This study uses quasi-experiment, the experimental class uses Cabri 3D software with a scientific approach and the control class uses conventional learning. The results showed that: there were differences in the increase in spatial thinking skills; there are differences in achievement of spatial thinking skills based on PAM and there is interaction between PAM categories of students with learning in achieving students spatial thinking skills; there is a difference in the improvement of students mathematical characters between before and after mathematics learning using the Cabri 3D software with a scientific approach. Mathematics learning using Cabri 3D software with a scientific approach is one alternative to improve spatial thinking skills and mathematical character of students
Keywords
scientific approach, spatial thinking, mathematical characters
Topic
Mathematics
Corresponding Author
Arta Ekayanti
Institutions
a) Teacher Training and Education Faculty, Universitas Muhammadiyah Ponorogo, Indonesia
*arta_ekayanti[at]ymail.com
b) Department of Mathematics, Universitas Gadjah Mada
Abstract
In this paper, we discuss about spectrum properties of self-adjoint operator. Relation between self-adjoint operator and normal operator is used to show that the spectrum of self-adjoint operator is subset of real numbers set. Furthermore, by using norm properties of bounded-linear operator and real polynomial we derived the relation between spectrum and norm of operator polynomial.
Keywords
spectrum, self-adjoint operator, normal operator
Topic
Mathematics
Corresponding Author
Iryanto Iryanto
Institutions
1 Informatics Department, Politeknik Negeri Indramayu, Indonesia.
2 Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia.
Abstract
In this research, we develop mathematical model to investigate the effectiveness of embankment and vegetation on the reduction of wave run-up. We solve the model numerically using a staggered finite volume method. Wave run-up test on a sloping beach is conducted to show the accuracy of our numerical scheme. In this case, we compare our numerical results with results of laboratory experiment of Synolakis in 1987. Further, sensitivity analysis is presented to see the effect of the characteristic of the structures.
Keywords
Wave run up, staggered finite volume, overtopping, wave mitigation
Topic
Mathematics
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