Journal of Fundamental Mathematics and Applications (JFMA)
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OPERATOR ACCRETIVE KUAT PADA RUANG HILBERT
Get PDFPre-Hilbert space is a vector space equipped with an inner-product. Furthermore, if each Cauchy sequence in a pre-Hilbert space is convergent then it can be said complete and it called as Hilbert space. The accretive operator is a linear operator in a Hilbert space. Accretive operator is occurred if the real part of the corresponding inner product will be equal to zero or positive. Accretive operators are also associated with non-negative self-adjoint operators. Thus, an accretive operator is said to be strict if there is a positive number such that the real part of the inner product will be greater than or equal to that number times to the squared norm value of any vector in the corresponding Hilbert Space. In this paper, we prove that a strict accretive operator is an accretive operator
MODEL REGRESI LINIER BAYESIAN DENGAN APLIKASI PADA DATA PENUNDAAN PENERBANGAN
No full textBayesian linear regression is an approach to linear regression where statistical analysis depend of Bayesian inference. The Bayesian model on big data uses a summary of data statistics as input; Statistical summary can be calculated from each subset, then a statistical summary of the full dataset is obtained from the sum of the summary statistics for each subset. Recent developments in data science and research, produce large datasets that are too large to be analyzed as a whole due to the limitations of computer memory or storage capacity. To overcome this, a program package was introduced from R namely BayesSummaryStatLM for the Bayesian linear regression model with the Markov Chain Monte Carlo implementation that overcomes this limitation. Then the program package from R, ff is used to read data in large datasets while calculating statistics summary. In this study Bayesian linear regression model used with several choices of prior distribution for unknown model parameters, and illustrates in simulation data and real datasets for flight delay data in US 2008. The application of simulation data and flight delay data produces a plot of density functions for the β parameters has a shape resembling a plot of Normal distribution density function, whereas for plot parameters the density function has a shape resembling the plot of Inverse Gamma distribution density function. In the simulation data, the estimator for each parameter produced has a value that approach to the value of the specified parameter (True Value). This is also indicated by the narrow credible interval for each parameters
BEBERAPA MODIFIKASI PADA ALGORITMA KRIPTOGRAFI AFFINE CIPHER
No full textAffine Cipher Cryptography Technique is one of the techniques in classical cryptography which is quite simple so it is very vulnerable to cryptanalysis. Affine cipher's advantage is having an algorithm that can be modified with various techniques. The modifications that can be made to Affine Cipher is to combine Affine cipher's algorithm with other ciphers, replace Affine cipher's key with various functions and matrices and expand the space for plaintext and ciphertexts on Affine cipher. Affine cipher can also be applied to the stream cipher as a keystream generator. This research discusses several modifications of Affine cipher algorithm and performs several other modifications. These modifications are combining Affine Chiper and Vigenere Cipher on , combining Affine, Vigenere and Hill Cipher with invertible matrix applications on . Furthermore, a comparison of the three modifications will be carried out to obtain a new cryptographic method that is more resilient to the cryptanalysis process
FUNGSI TERDEKATI DAN SIFAT-SIFATNYA
No full textIn this paper, we have defined an approachable function using a simple function on a compact sets. Furthermore the simple properties of the function was examined and it was obtained that measurable function, continuous function, and bounded function are approachable function along the function space is a linier space
ANALISIS EMPIRIS TINGKAT KEPUASAN MAHASISWA PADA KUALITAS PELAYANAN DAN FASILITAS MENGGUNAKAN WEIGHTED LEAST SQUARES
No full textThe present article aims to study the level of students’ satisfaction of PGRI Yogyakarta University towards service and facilities quality. To try and understand the factors which influence student satisfaction as well as consequences of it, this study test a weighted least squares model of student satisfaction. This study investigate determinant and dominant factors of the students’ satisfaction and its characteristics. The data were collected through a questionnaire administered to 160 students of PGRI Yogyakarta University to investigate their perceptions of the universities services. A questionnaire containing 30 questions has been used for data collection. The data were analyzed using the descriptive technique and the weighted least squares analysis. The measurement of the service quality is an important element to provide better, more efficient and more effective services. SPSS Software and Cronbach alpha index have been used for data analysis and reliability. The reliability factor should be improved first because it is dominant in determining the students’ satisfaction. Quality indicators constituting the reliability factor include classroom, library, laboratory, public area, and information system. The results show that, by percentage, 2 indicators are in the very good category, only 5 indicators are in the good category, 9 indicators are in the fairly good category, and 14 indicators are in the poor category. The results indicate that the universities service quality needs to be improving. The results of the analysis show that five determinant factors of the students’ satisfaction include tangibles, reliability, responsiveness, assurance, and empathy. By the priority scale, the reliability factor should be improved first because it is dominant in determining the students’ satisfactionThe present article aims to study the level of students’ satisfaction of PGRI Yogyakarta University towards service and facilities quality. To try and understand the factors which influence student satisfaction as well as consequences of it, this study test a weighted least squares model of student satisfaction. This study investigate determinant and dominant factors of the students’ satisfaction and its characteristics. The data were collected through a questionnaire administered to 160 students of PGRI Yogyakarta University to investigate their perceptions of the universities services. A questionnaire containing 30 questions has been used for data collection. The data were analyzed using the descriptive technique and the weighted least squares analysis. The measurement of the service quality is an important element to provide better, more efficient and more effective services. SPSS Software and Cronbach alpha index have been used for data analysis and reliability. The reliability factor should be improved first because it is dominant in determining the students’ satisfaction. Quality indicators constituting the reliability factor include classroom, library, laboratory, public area, and information system. The results show that, by percentage, 2 indicators are in the very good category, only 5 indicators are in the good category, 9 indicators are in the fairly good category, and 14 indicators are in the poor category. The results indicate that the universities service quality needs to be improving. The results of the analysis show that five determinant factors of the students’ satisfaction include tangibles, reliability, responsiveness, assurance, and empathy. By the priority scale, the reliability factor should be improved first because it is dominant in determining the students’ satisfaction
HASIL PERBANDINGAN METODE IMPROVED NEWTON-RAPHSON BERBASIS DEKOMPOSISI ADOMIAN DAN BEBERAPA METODE KLASIK PADA MASALAH PERSAMAAN NON-LINIER
Get PDFIn this paper, we work with ten nonlinear equations to compare a new method in nonlinear equation solving, Improved Newton-Raphson based on Adomian Decomposition method (INR-ADM) that consisting of two types called INR-ADM 1 and INR-ADM 2. The difference between INR-ADM 1 and INR-ADM 2 is on the iteration formula form. From our results, it was showed that INR-ADM 1 and INR-ADM 2 are not always better than classic Newton-Raphson method in term of the iteration number. However, if INR-ADM 1 and INR-ADM 2 are compared to Regula False method and Secant method, they are always better i.e. they had fewer number of iteration. The INR-ADM 1 and INR-ADM 2 had shorter computational time than Regula False method. Furthermore, the computational time of INR-ADM 1 and INR-ADM 2 cannot be claimed that they had shorter or longer if they are compared to Newton-Raphson method and Secant method
MODUL NEUTROSOFIK KUAT
No full textGiven any neutrosophic ring with unity and a commutatively additive neutrosophic group. Then we can formed a neutrosophic algebraic structure is called a strong neutrosphic module. From the concept of weak neutrosophic module we extend to the concept of strong neutrosophic module. In this paper, also elementary properties of strong neutrosophic module are given
SIFAT-SIFAT RING FAKTOR YANG DILENGKAPI DERIVASI
Get PDFLet is a ring with unit element and is a derivation on . An ideal of is called -ideal if it satisfies . Related to the theory of ideal, we can define prime -ideal and maximal -ideal. The ring is called -simple if is non-zero and the only -ideal of are and . In this paper, given the necessary and sufficient conditions for quotient ring is a -simple where is a derivation on such that
IMPLEMENTASI METODE MULTINOMIAL NAÏVE BAYES CLASSIFIER UNTUK ANALISIS SENTIMEN
No full textGO-JEK is an information technology-based service consisting of 3 main services, namely GO-JEK, GO-LIFE, and GO-PAY. As time goes by, customer complaints arise about the lack of satisfaction with GO-JEK services. One measure of GO-JEK customer service satisfaction can be acknowledged by way of analyzing sentiments on the data of public opinion twett submitted on the twitter official account, @gojekindonesia. In this research, sentiment analysis was carried out using the Naïve Bayes Classifier learning algorithm. The number of data twitts used is 9987. The twit data is labeled according to the class which includes positive, negative and neutral classes. Then the next process is data preprocessing consisting of cleansing, tokenization, filtering, stemming, and stopword removal. The evaluation method using 10-fold cross validation with the results obtained is precision value of 80%, recall of 80%, f1-score of 80%, maximum accuracy of 82% and average accuracy of 79%
PENENTUAN HARGA OPSI DENGAN MODEL BLACK-SCHOLES MENGGUNALKAN METODE BEDA HINGGA FORWARD TIME CENTRAL SPACE
Get PDFOption can be defined as a contract between two sides/parties said party one and party two. Party one has the right to buy or sell of stock to party two. Party two can invest by observe the put option price or call option price on a time period in the option contract. Black-Scholes option solution using finite difference method based on forward time central space (FTCS) can be used as the reference for party two in the investment determining. Option price determining by using Black-Scholes was applied on Samsung stock (SSNLF) by using finite difference method FTCS. Daily data of Samsung stock in one year was processed to obtain the volatility of the stock. Then, the call option and put option are calculated by using FTCS method after discretization on the Black-Scholes model. The value of call option was obtained as 1.476925604670225