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A Study on Parthenogenesis of Petersen Graph Amiroch, Siti; Kiratama, Danang
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 3, No 1 (2017)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (528.856 KB) | DOI: 10.12962/j24775401.v3i1.2115

Abstract

Genetics is the science of trait from the parent to the descendant. In biology, genetics pass a series of genes unification process that takes place in the chromosome. The results of genes unification will form the nature and character of the generation. This particular genetic process also applies in graph theory. Genetics on graph theory is divided into two: breeding and parthenogenesis. This present study elaborated a single type of genetic processes that was parthenogenesis which is applied on a Petersen graph. Through the similar process to genetics in biology, Petersen graph will be reconstructed and combined with other graphs (gene) in purposes to create a descendant or a new graph with new nature and characteristic. Based on the result of parthenogenesis on this Petersen graph, there was derived a graph which has 18 edges and 12 vertices, isomorphism toward another Petersen graph, Hamiltonian, and has 3 girth and symmetric.
Zika Virus Mutation and The Spreading to Indonesia Mohammad Syaiful Pradana; Siti Amiroch
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 4, No 1 (2018)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (333.109 KB) | DOI: 10.12962/j24775401.v4i1.3021

Abstract

More than 13 countries in the Americas have reported sporadic Zika virus infection that show very rapid geographic expansion. While in Indonesia, the euphoria is also increasingly prevalent virus discussed especially after the discovery of Jambi positive patients infected with the virus Zika on January 26, 2016 last.Viruses transmitted by mosquito bites to humans are the same mosquito transmits dengue fever, chikungunya and yellow fever with symptoms that have similar resemblance to the zika virus. Based on similarity of symptoms of infection with dengue virus, can be analyzed using sequence alignment to get identical percentage, local alignment calculation, genetic mutation and the spread of the zika virus to Indonesia. From the whole process, Smith Waterman algorithm can be used to align dengue virus type 1, type 2, type 3, and type 4 with zika virus (Jambi). Mutations between dengue virus and zika virus on average 28% of dissimilarity sequences in the same position between the sequence. Overall, the dengue virus type 1 mutation to the zika virus was 28.2723%, the dengue virus type 2 mutation to the zika virus was 28.1984%, the dengue virus type 3 mutation to the zika virus 27.9373% and the mutation of dengue virus type 4 to the zika virus of 28.7206%. By looking at all mutations, from the simulation results note that the mutations of both viruses include mutation type I. The phylogenetic tree showed the spread of the Zika virus to Indonesia, originally from South Africa, the islands of Chile, Caledonia, the Philippines, Yap Micronesia, Thailand, Cambodia, and finally reached Indonesia. Zika virus jambi suspected of dengue virus mutation because a few years earlier there was a dengue virus outbreaks in a long time in Jambi, it turns out the virus zika jambi is not from mutation dengue virus but the virus comes from the Asian region.
KESULITAN SISWA DALAM MENYELESAIKAN MASALAH PENJUMLAHAN DAN PENGURANGAN DENGAN METODE JARIMATIKA DAN PEMBERIAN SCAFFOLDINGNYA Siti Daiyatul Hamidah; Ali Shodikin; Siti Amiroch
INSPIRAMATIKA Vol 5 No 2 (2019): Inspiramatika, December 2019
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Islam Darul Ulum

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/inspiramatika.v5i2.1752

Abstract

This study aims to determine the difficulty and the provision of appropriate scaffolding used by students in solving addition and subtraction problems with the Jarimatic method. As for the difficulties of students analyzed in the form of fact errors, operational errors, and principle errors as well as the form of scaffolding conducted, namely explaining, reviewing, and restructuring. The subjects in this study were 32 first grade students at SDN Sumurber. The instruments in the study were written tests and interviews. The results of this study are (1) errors of fact students still have difficulty in operating fingers, (2) errors of operation where there are still many students who still have difficulty in calculating addition and subtraction operations, (3) and principle errors occur in some more students likes to count with chimera and haste. Scafolding provided includes explaining, reviewing, and restructuring.
ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS PESERTA DIDIK DITINJAU DARI KARAKTERISTIK DOMINANCE, INFLUENCE, STEADINESS, COMPLIENCE (DISC) Ida Dwi Lestari; Siti Amiroch; Heny Ekawati Haryono
INSPIRAMATIKA Vol 7 No 2 (2021): Inspiramatika, December 2021
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Islam Darul Ulum

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/inspiramatika.v7i2.2497

Abstract

Students' mathematical representation skills still need to be improved and developed. Because when faced with questions students experience difficulties and confusion to solve, where to start, which formulas to use and how to solve them. The ability of students in the aspect of mathematical representation is not optimal. Basically, each student also has the characteristics of different ways of thinking that influence the process of representing solving mathematical problems. This study aims to determine the mathematical representation ability of students in terms of Dominance, Influence, Steadiness, Complience (DISC) characteristics. The subjects of this study were students of class X MA Raudlatul Muta'allimin Babat. This research is a qualitative research. Qualitative research concludes the research data in the form of numbers. The data collection method uses a DISC characteristic questionnaire, representation ability test and interviews. The results showed that: (1) Subjects with Dominance characteristics were able to solve all aspects of mathematical representations, namely visual representations in the form of images, equations or mathematical expressions, and written words or texts. (2) Subjects with the characteristics of Influence are able to solve two aspects of mathematical representation, namely visual representations in the form of images and equations or mathematical expressions, whereas in the aspects of words or written texts students have not been able to solve them well. (3) Subjects with Steadiness characteristics are able to solve all aspects of mathematical representations, namely visual representations in the form of images, equations or mathematical expressions, and written words or texts. all questions and able to explain well. (4) Subjects with Compliance Characteristics are able to complete one aspect, namely the visual representation aspect in the form of images, while in the form of mathematical equations or expressions, and written words or texts, students have not been able to complete it properly.
PREDIKSI HARGA SAHAM MENGGUNAKAN JARINGAN SYARAF TIRUAN BACKPROPAGATION Siti Amiroch
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 1 No 01 (2015): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1737.728 KB) | DOI: 10.52166/ujmc.v1i01.439

Abstract

In the stock market, stock price prediction is an important issue for the perpetrators of capital transactions to help making the right decision. Most traders have their own application software to predict the stock price so that it can be decided would buy the shares or sell them. By using a neural networks, prediction of stock prices can be done by using the backpropagation algorithm. Artificial neural networks can be used either to predict the level or price of the stock index, stock movement (trend), and the return earned on stocks. This study discusses the use of techniques Backpropagation Neural Network to predict the stock price closing (Close) in AKR Tbk (AKRA Corporindo) engaged in the petroleum, chemical,logistics, manufacturing and coal are simulated in Matlab. Of some testing done, the prediction results obtained are very close to the price actually with very small MSE value.
PEWARNAAN TITIK PADA GRAF UNTUK PENYUSUNAN MENU MAKANAN Siti Amiroch; Evi Eka Andini
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 2 No 1 (2016): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (742.437 KB) | DOI: 10.52166/ujmc.v2i1.450

Abstract

A balanced diet encourage the creation of eating behavior that optimizes the intake and absorption of nutrients by consuming healthy foods corresponding proportion in each serving. To realize the diet required a proper diet plan and balanced with a method of food combining. By applying the coloring point on the graph using the Welch-Powell algorithm and the combination of mathematics imposed on the menu sequence can provide a solution to preparing the menu that varies with the amount of calories that is appropriate and balanced according to the rules low calorie diet. The results obtained from the third combination meal menu is 108 varied menu of breakfast, lunch menu variations 162, and 16 variations of the dinner menu. With respect to the number of calories for all three, each taken ve menus to be combined in a week. Obtained result V1, V5, V8, V9 with the color red dot on consumption on Monday, Tuesday, and Wednesday. V2, V3 and V7 with the color green dot inconsumption on Thursday and Friday, and V4, V6 and V10 which has a yellow color in consumption on Saturday and Sunday.
Analisis Diskriminan Terhadap Pengelompokan Mutu Pendidikan Sekolah Menengah Atas di Kabupaten Lamongan Mu’tasim Billah; Novita Eka Chandra; Siti Amiroch
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 2 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i2.2094

Abstract

Quality of education is the educational services ability that can fill the needs or expectations, satisfaction internally and externally which includes educational inputs, processes and outputs. The purpose of this reserach is to classify the quality of high school education in Lamongan District using factor, cluster and discriminant analysis. The dominant factors of 12 education quality variables can be known from the results of factor analysis using the PCA (Principal Component Analysis) method. The grouping of 48 high schools did by cluster analysis using 5 hierarchical methods. The validity index used to determine the optimal group number of the five hierarchical methods is RMSSTD (Root Mean Square Standard Deviation). The classification accuracy testing uses discriminant analysis based on the results of factor analysis and cluster analysis. Grouping the quality of education is influenced by dominant factors such as the number of classrooms, the value of accreditation, the number of certification and non-certification teachers, the number of education staff, the ratio of students to teachers, the number of laboratory rooms that can be known from the results of factor analysis. In cluster analysis, using the Mahalanobis distance because there is multicollinearity and the smallest RMSSTD index value obtained in the Complete Linkage method with 5 clusters. So, with discriminant analysis, it can be concluded that the grouping based on factor analysis and cluster analysis is 58.3% of the 48 processed data that has been entered in the group that matches the original data.
Penggunaan Algoritma Vigenere Cipher dan RSA (Rivest-Shamir-Adleman) Untuk Keamanan Data Pembelian di PT Lamongan Marine Industry Fifin Nur Aini; Siti Amiroch; Novita Eka Chandra
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 01 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i01.2386

Abstract

Purchasing data is very important for business actors because the data is very influential on companies, especially in the field of production and marketing. Therefore, the purchase data is one of the things that is kept secret by the business actors, such as PT Lamongan Marine Industry. With current technology hackers can easily hack such data, so the use of cryptography is a very appropriate solution to this problem. In this study the authors used the Vigenere Cipher algorithm and the RSA algorithm with a high security key. The hacker was not easy to find out the contents of the data. The data obtained is a purchase order, then presented in tabular form. The data is then encrypted and decrypted so that the comparison of the two algorithms is known. The results of the analysis state that the Vigenere Cipher algorithm is more effective in both encryption and decryption processing time. Ciphertext generated from the encryption process of the Vigenere Cipher algorithm is mostly in the form of punctuation, while the ciphertext generated by the RSA algorithm from the encryption process is mostly in alphabetical letters. The ciphertext generated by the RSA algorithm depends on the value of the modulo. but in terms of security the RSA algorithm is superior to the Vigenere Cipher algorithm.
Penerapan Matching pada Graf untuk Pendistribusian Pupuk Bersubsidi dengan Metode Hungarian Eva Wahyu Listyawati; Siti Amiroch; Novita Eka Chandra
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 01 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i01.2387

Abstract

Increasing yields, demanding each farmer to improve the quality of agriculture, which in turn is expected to increase profits. The purpose of this paper is to determine the allocation of subsidized fertilizer distribution by the distributor of PT. Anak Gresik Raya Kencana and looking for the maximum number of subsidized fertilizer needs distributed in Lamongan district each year so that there is no scarcity and HET (Highest Retail Price) does not increase by applying the hungarian method. In this case, the problem is expressed as a bipartite graph, especially a complete weighted bipartite graph that applies the concept of matching, which is a perfect matching search with maximum weight using the Hungarian method. Matching is said to be perfect if it has fulfilled all the sets of vertices X and Y. Obtained the results of the allocation of subsidized fertilizer distribution by the distributor of PT. Anak Gresik Raya Kencana is Deket sub-district requiring 1220 tons of SP-36, Glagah sub-district requires 3208 tons of Urea, Karangbinangun sub-district requires 483 tons of Organic, mantup sub-district requires 2079 tons of ZA, middle district needs 2233 tons of NPK and fertilizer distribution problems subsidized in Lamongan district can be completed with the maximum amount of subsidized fertilizer needs distributed as many as 9223 tons every year
Implementasi Algoritma Greedy Pada Pewarnaan Wilayah Kecamatan Sukodadi Lamongan Umi Maftukhah; Siti Amiroch; Mohammad Syaiful Pradana
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 2 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i2.2391

Abstract

Graph theory can be applied in various fields of science such as transportation problems, communication networks, operations research, chemistry, cartography and so on. Graph theory does not only represent structure but in its application, a graph can also be colored. Many problems have graph coloring characteristics such as regional coloring. This regional coloring theory was applied to the map area of ​​Sukodadi District which consists of 20 villages. In this area coloring uses the Greedy algorithm by first making a dual graph consisting of 20 vertices and 43 edges. Based on the results of regional coloring, the minimum number of colors is 4, namely red, blue, green and yellow, with each neighboring village having a different color.