Random Structures & Algorithms最新文献

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Perancangan Aplikasi Web Dengan Menggunakan Algoritma Apriori Pada Data Mining Untuk Mengetahui Pola Pembelian Konsumen PT Cipta Tunggal Elektronik
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-09-27 DOI: 10.31253/algor.v3i1.640
Freddie Freddie, Yusuf Kurnia, Rudy Arijanto, Yakub Yakub
{"title":"Perancangan Aplikasi Web Dengan Menggunakan Algoritma Apriori Pada Data Mining Untuk Mengetahui Pola Pembelian Konsumen PT Cipta Tunggal Elektronik","authors":"Freddie Freddie, Yusuf Kurnia, Rudy Arijanto, Yakub Yakub","doi":"10.31253/algor.v3i1.640","DOIUrl":"https://doi.org/10.31253/algor.v3i1.640","url":null,"abstract":"PT. Cipta Tunggal Elektronik merupakan perusahaan yang bergerak dibidang distribusi sound system yang membutuhkan strategi promosi dalam penjualannya. Analisa pola pembelian konsumen dapat membantu perusahaan dalam membentuk paket penjualan agar promosi yang dilakukan tepat sasaran. Proses menganalisa pola pembelian konsumen yang dilakukan secara manual tentu akan membutuhkan waktu dan tenaga yang lebih besar. Oleh karena itu, maka dilakukan penelitian serta perancangan sebuah aplikasi yang dapat mengetahui pola pembelian konsumen dengan metode asosiasi, serta menggunakan apriori sebagai algoritmanya. Oleh karena itu, maka diperlukan sebuah rancangan aplikasi berbasis web dengan algoritma apriori. Hasil dari penelitian ini adalah dibuatnya sebuah aplikasi berbasis web yang dapat melakukan analisa pola pembelian dari data transaksi yang dimasukkan, dengan cara menentukan rentang tanggal pada data yang ingin dianalisa, serta memasukkan nilai minimum support dan minimum confidence yang diinginkan.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"39 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76155518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PENERAPAN DASHBOARD BUSINESS INTELLIGENCE UNTUK MENAMPILKAN FUNDAMENTAL SAHAM LQ45
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-09-27 DOI: 10.31253/algor.v3i1.768
Khanti Kusuma Dewi, Aditiya Hermawan, L. Kusuma
{"title":"PENERAPAN DASHBOARD BUSINESS INTELLIGENCE UNTUK MENAMPILKAN FUNDAMENTAL SAHAM LQ45","authors":"Khanti Kusuma Dewi, Aditiya Hermawan, L. Kusuma","doi":"10.31253/algor.v3i1.768","DOIUrl":"https://doi.org/10.31253/algor.v3i1.768","url":null,"abstract":"Pada saat ini investai berkembang dengan pesat di khalayak orang banyak. Melalui investasi seseorang akan mendapatkan passive income, ada berbagai macam investasi yang ada di Indonesia, salah satunya adalah investasi saham. Dalam berinvestasi tidak bisa saham seseorang untuk berinvestasi dan menentukan mana yang akan dibeli oleh kita, orang yang akan berinvestasi atau bisa dibilang seorang investor. Dalam berinvestasi ada beberapa hal yang perlu diperhatikan dalam menentukan saham yang akan dibeli. Hal yang perlu diperhatikan dalam memilih saham perusahaan adalah dengan melakukan analisis fundamental saham pada perusahaan tertentu. Namun dalam menganalisis fundamental saham yang cukup memerlukan waktu yang lebih panjang. Untuk memudahkan investor membaca fundamental saham perusahaan tertentu yang akan diinvestasikan, maka dibuatlah Dashboard dengan menerapkan Business Intelligence menggunakan Single Page Application agar seorang investor mudah, cepat dan tepat mengambil keputusan dalam berinvestasi di pasar saham. Hasil yang diharapkan dari penelitian ini yaitu agar memudahkan seorang investor dalam menganalisis Kembali saham yang akan dibeli.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"25 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84210473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximately counting independent sets in bipartite graphs via graph containers 利用图容器对二部图中的独立集进行近似计数
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-09-08 DOI: 10.1002/rsa.21145
Matthew Jenssen, Will Perkins, Aditya Potukuchi
{"title":"Approximately counting independent sets in bipartite graphs via graph containers","authors":"Matthew Jenssen, Will Perkins, Aditya Potukuchi","doi":"10.1002/rsa.21145","DOIUrl":"https://doi.org/10.1002/rsa.21145","url":null,"abstract":"By implementing algorithmic versions of Sapozhenko's graph container methods, we give new algorithms for approximating the number of independent sets in bipartite graphs. Our first algorithm applies to d$$ d $$ ‐regular, bipartite graphs satisfying a weak expansion condition: when d$$ d $$ is constant, and the graph is a bipartite Ω(log2d/d)$$ Omega left({log}^2d/dright) $$ ‐expander, we obtain an FPTAS for the number of independent sets. Previously such a result for d>5$$ d>5 $$ was known only for graphs satisfying the much stronger expansion conditions of random bipartite graphs. The algorithm also applies to weighted independent sets: for a d$$ d $$ ‐regular, bipartite α$$ alpha $$ ‐expander, with α>0$$ alpha >0 $$ fixed, we give an FPTAS for the hard‐core model partition function at fugacity λ=Ω(logd/d1/4)$$ lambda =Omega left(log d/{d}^{1/4}right) $$ . Finally we present an algorithm that applies to all d$$ d $$ ‐regular, bipartite graphs, runs in time expOn·log3dd$$ exp left(Oleft(ncdotp frac{log^3d}{d}right)right) $$ , and outputs a (1+o(1))$$ left(1+o(1)right) $$ ‐approximation to the number of independent sets.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"35 1","pages":"215 - 241"},"PeriodicalIF":1.0,"publicationDate":"2021-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76321074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Covering random graphs with monochromatic trees 用单色树覆盖随机图
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-09-06 DOI: 10.1002/rsa.21120
Domagoj Bradac, M. Buci'c
{"title":"Covering random graphs with monochromatic trees","authors":"Domagoj Bradac, M. Buci'c","doi":"10.1002/rsa.21120","DOIUrl":"https://doi.org/10.1002/rsa.21120","url":null,"abstract":"Given an r$$ r $$ ‐edge‐colored complete graph Kn$$ {K}_n $$ , how many monochromatic connected components does one need in order to cover its vertex set? This natural question is a well‐known essentially equivalent formulation of the classical Ryser's conjecture which, despite a lot of attention over the last 50 years, still remains open. A number of recent papers consider a sparse random analogue of this question, asking for the minimum number of monochromatic components needed to cover the vertex set of an r$$ r $$ ‐edge‐colored random graph 𝒢(n,p) . Recently, Bucić, Korándi, and Sudakov established a connection between this problem and a certain Helly‐type local to global question for hypergraphs raised about 30 years ago by Erdős, Hajnal, and Tuza. We identify a modified version of the hypergraph problem which controls the answer to the problem of covering random graphs with monochromatic components more precisely. To showcase the power of our approach, we essentially resolve the 3‐color case by showing that (logn/n)1/4$$ {left(log n/nright)}^{1/4} $$ is a threshold at which point three monochromatic components are needed to cover all vertices of a 3‐edge‐colored random graph, answering a question posed by Kohayakawa, Mendonça, Mota, and Schülke. Our approach also allows us to determine the answer in the general r$$ r $$ ‐edge colored instance of the problem, up to lower order terms, around the point when it first becomes bounded, answering a question of Bucić, Korándi, and Sudakov.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"12 1","pages":"545 - 563"},"PeriodicalIF":1.0,"publicationDate":"2021-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73781965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Self‐avoiding walk on the hypercube 在超立方体上自我避免行走
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-08-08 DOI: 10.1002/rsa.21117
G. Slade
{"title":"Self‐avoiding walk on the hypercube","authors":"G. Slade","doi":"10.1002/rsa.21117","DOIUrl":"https://doi.org/10.1002/rsa.21117","url":null,"abstract":"We study the number cn(N)$$ {c}_n^{(N)} $$ of n$$ n $$ ‐step self‐avoiding walks on the N$$ N $$ ‐dimensional hypercube, and identify an N$$ N $$ ‐dependent connective constant μN$$ {mu}_N $$ and amplitude AN$$ {A}_N $$ such that cn(N)$$ {c}_n^{(N)} $$ is O(μNn)$$ Oleft({mu}_N^nright) $$ for all n$$ n $$ and N$$ N $$ , and is asymptotically ANμNn$$ {A}_N{mu}_N^n $$ as long as n≤2pN$$ nle {2}^{pN} $$ for any fixed p<12$$ p<frac{1}{2} $$ . We refer to the regime n≪2N/2$$ nll {2}^{N/2} $$ as the dilute phase. We discuss conjectures concerning different behaviors of cn(N)$$ {c}_n^{(N)} $$ when n$$ n $$ reaches and exceeds 2N/2$$ {2}^{N/2} $$ , corresponding to a critical window and a dense phase. In addition, we prove that the connective constant has an asymptotic expansion to all orders in N−1$$ {N}^{-1} $$ , with integer coefficients, and we compute the first five coefficients μN=N−1−N−1−4N−2−26N−3+O(N−4)$$ {mu}_N=N-1-{N}^{-1}-4{N}^{-2}-26{N}^{-3}+Oleft({N}^{-4}right) $$ . The proofs are based on generating function and Tauberian methods implemented via the lace expansion, for which an introductory account is provided.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"1067 1","pages":"689 - 736"},"PeriodicalIF":1.0,"publicationDate":"2021-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77273697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
PENERAPAN METODE SIMPLE ADDITIVE WEIGHTING (SAW) DALAM PERANCANGAN APLIKASI PEMILIHAN PASANGAN BERBASIS WEB
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-07-15 DOI: 10.31253/algor.v2i2.545
Chrisantus Robert William Resi, Yusuf Kurnia, Hartana Wijaya, Dera Susilawati
{"title":"PENERAPAN METODE SIMPLE ADDITIVE WEIGHTING (SAW) DALAM PERANCANGAN APLIKASI PEMILIHAN PASANGAN BERBASIS WEB","authors":"Chrisantus Robert William Resi, Yusuf Kurnia, Hartana Wijaya, Dera Susilawati","doi":"10.31253/algor.v2i2.545","DOIUrl":"https://doi.org/10.31253/algor.v2i2.545","url":null,"abstract":"As social beings, humans have a desire to socialize, to build deeper relationships with individuals they like, and  also to get a spouse according to the criteria they like. However, there are often obstacles in finding a spouse, one of which is due to being too busy and an increasing workload. Luckily we live in an era of technology that makes it easier for us to interact with other people. The spouse selection application itself is quite common for several circles in Indonesia, but some of these applications are considered not fully providing services to recommend a spouse based on the criteria. Therefore, it is necessary to design an application that helps users find a spouse according to the criteria they like. In this application, the Simple Additive Weighting (SAW) method will be used to process data. The SAW method itself has the ability to find optimal alternatives from a number of alternatives with certain criteria.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"54 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82236126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analisis dan Perancangan Sistem Informasi Pendaftaran Online Seminar & Workshop Berbasis Website 在线注册信息系统分析与设计研讨会及研讨会
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-07-15 DOI: 10.31253/algor.v2i2.546
Kevin Natanael, Tugiman Tugiman, Amat Basri
{"title":"Analisis dan Perancangan Sistem Informasi Pendaftaran Online Seminar & Workshop Berbasis Website","authors":"Kevin Natanael, Tugiman Tugiman, Amat Basri","doi":"10.31253/algor.v2i2.546","DOIUrl":"https://doi.org/10.31253/algor.v2i2.546","url":null,"abstract":"Kemajuan teknologi informasi saat ini juga di terapkan pada sistem pendaftaran seminar dan workshop secara online. Penerapan sistim pendaftaran online berbasis web diharapkan dapat mempermudah proses pendaftaran seminar, menghindari kesalahan dalam penginputan nama, dan  mudah dalam  memberikan informasi jadwal yang berupa notif,  serta memudahkan panitia dalam mengumpulkan data pendaftar. Selain itu  juga memudahkan penyimpanan data dalam database, yang memerlukan tinggal diberikan hak akses, dan pencetakan e-sertifikat. RAD (Rapid Application Development) bersifat incremental terutama untuk waktu pengerjaan yang relatif pendek. Dalam penerapannya menekankan pada proses perencanaan singkat dengan menitikberatkan pada proses pengembangan perangkat lunak yang terdiri dari pengembangan, pengujian dan umpan balik. UAT (User Acceptance Test) merupakan salah satu komponen penting dalam suatu pengujian sistim, hal ini untuk mengetahui penerimaan oleh pengguna awam. Pengujian menggunakan metode pengujian UAT, diperoleh hasil bahwa program ini diterima oleh pengguna dengan persentase rata-rata dari keseluruhan adalah 86,6%.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"24 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88644353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On subgraphs with degrees of prescribed residues in the random graph 在随机图中具有规定残数度的子图上
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-07-14 DOI: 10.1002/rsa.21137
Asaf Ferber, Liam Hardiman, M. Krivelevich
{"title":"On subgraphs with degrees of prescribed residues in the random graph","authors":"Asaf Ferber, Liam Hardiman, M. Krivelevich","doi":"10.1002/rsa.21137","DOIUrl":"https://doi.org/10.1002/rsa.21137","url":null,"abstract":"We show that with high probability the random graph Gn,1/2$$ {G}_{n,1/2} $$ has an induced subgraph of linear size, all of whose degrees are congruent to r(modq)$$ rkern0.3em left(operatorname{mod}kern0.3em qright) $$ for any fixed r$$ r $$ and q≥2$$ qge 2 $$ . More generally, the same is true for any fixed distribution of degrees modulo q$$ q $$ . Finally, we show that with high probability we can partition the vertices of Gn,1/2$$ {G}_{n,1/2} $$ into q+1$$ q+1 $$ parts of nearly equal size, each of which induces a subgraph all of whose degrees are congruent to r(modq)$$ rkern0.3em left(operatorname{mod}kern0.3em qright) $$ . Our results resolve affirmatively a conjecture of Scott, who addressed the case q=2$$ q=2 $$ .","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"35 1","pages":"192 - 214"},"PeriodicalIF":1.0,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78351343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Erasures versus errors in local decoding and property testing 擦除与本地解码和属性测试中的错误
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-07-07 DOI: 10.1002/rsa.21031
Sofya Raskhodnikova, Noga Ron-Zewi, Nithin M. Varma
{"title":"Erasures versus errors in local decoding and property testing","authors":"Sofya Raskhodnikova, Noga Ron-Zewi, Nithin M. Varma","doi":"10.1002/rsa.21031","DOIUrl":"https://doi.org/10.1002/rsa.21031","url":null,"abstract":"We initiate the study of the role of erasures in local decoding and use our understanding to prove a separation between erasure‐resilient and tolerant property testing. We first investigate local list‐decoding in the presence of erasures. We prove an analog of a famous result of Goldreich and Levin on local list‐decodability of the Hadamard code. Specifically, we show that the Hadamard code is locally list‐decodable in the presence of a constant fraction of erasures, arbitrarily close to 1, with list sizes and query complexity better than in the Goldreich–Levin theorem. We further study approximate locally erasure list‐decodable codes and use them to construct a property that is erasure‐resiliently testable with query complexity independent of the input length, n , but requires nΩ(1) queries for tolerant testing. We also investigate the general relationship between local decoding in the presence of errors and in the presence of erasures.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"17 1","pages":"640 - 670"},"PeriodicalIF":1.0,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89571752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
A Ramsey–Turán theory for tilings in graphs 图中平铺的Ramsey-Turán理论
IF 1 3区 数学
Random Structures & Algorithms Pub Date : 2021-06-17 DOI: 10.1002/rsa.21182
Jie Han, Patrick Morris, Guanghui Wang, Donglei Yang
{"title":"A Ramsey–Turán theory for tilings in graphs","authors":"Jie Han, Patrick Morris, Guanghui Wang, Donglei Yang","doi":"10.1002/rsa.21182","DOIUrl":"https://doi.org/10.1002/rsa.21182","url":null,"abstract":"For a $k$-vertex graph $F$ and an $n$-vertex graph $G$, an $F$-tiling in $G$ is a collection of vertex-disjoint copies of $F$ in $G$. For $rin mathbb{N}$, the $r$-independence number of $G$, denoted $alpha_r(G)$ is the largest size of a $K_r$-free set of vertices in $G$. In this paper, we discuss Ramsey--Tur'an-type theorems for tilings where one is interested in minimum degree and independence number conditions (and the interaction between the two) that guarantee the existence of optimal $F$-tilings. For cliques, we show that for any $kgeq 3$ and $eta>0$, any graph $G$ on $n$ vertices with $delta(G)geq eta n$ and $alpha_k(G)=o(n)$ has a $K_k$-tiling covering all but $lfloortfrac{1}{eta}rfloor(k-1)$ vertices. All conditions in this result are tight; the number of vertices left uncovered can not be improved and for $eta<tfrac{1}{k}$, a condition of $alpha_{k-1}(G)=o(n)$ would not suffice. When $eta>tfrac{1}{k}$, we then show that $alpha_{k-1}(G)=o(n)$ does suffice, but not $alpha_{k-2}(G)=o(n)$. These results unify and generalise previous results of Balogh-Molla-Sharifzadeh, Nenadov-Pehova and Balogh-McDowell-Molla-Mycroft on the subject. We further explore the picture when $F$ is a tree or a cycle and discuss the effect of replacing the independence number condition with $alpha^*(G)=o(n)$ (meaning that any pair of disjoint linear sized sets induce an edge between them) where one can force perfect $F$-tilings covering all the vertices. Finally we discuss the consequences of these results in the randomly perturbed setting.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"28 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76885665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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