•Journal•ISSN: 1314-3395
International journal of pure and applied mathematics
Academic Publications
About: International journal of pure and applied mathematics is an academic journal. The journal publishes majorly in the area(s): Nonlinear system & Fuzzy logic. It has an ISSN identifier of 1314-3395. It is also open access. Over the lifetime, 3284 publications have been published receiving 9201 citations.
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TL;DR: This paper introduces an algorithm for a perfectly secure key distribution scheme for dynamic conferences by using Pell's equation, and shows that even if k users pool together their pieces they cannot compute anything about a key of any t-size conference comprised of other users.
Abstract: A key distribution scheme for dynamic conferences is a method by which initially an trusted server distributes private individual pieces of in- formation to a set of users. Later each member of any group of users of given size can compute a common secure group key. In this setting any group of t users can compute a common key by each user computing using only his pri- vate initial piece of information and the identities of the other t − 1 users in the group. Keys are secure against coalition of to k users, that is, even if k users pool together their pieces they cannot compute anything about a key of any t-size conference comprised of other users. In this paper, we introduce an algorithm for such perfectly secure scheme by using Pell's equation.
426 citations
Journal Article•
TL;DR: The theory of two-scale convergence was introduced by Nguetseng and Allaire as discussed by the authors, and it was later developed later by G. Allaire and G. Ngueteng.
Abstract: In this paper the theory of two-scale convergence (introduced by G. Nguetseng \ref[SIAM J. Math. Anal. 20 (1989), no. 3, 608--623; and developed later by G. Allaire \ref[SIAM J. Math. Anal. 23 (199 ...
383 citations
Abstract: In this paper, we try to give exact solution of the heat conformable fractional differential equation. Some other differential equations are discussed.
129 citations
TL;DR: In this paper, a new cutoff threshold for VIP in classification task has been proposed and then compared to the classical one through the interesting situation simulation and the result of this study presents that the new threshold can improve in identifying relevant variables more than the previous threshold as seeing of good value of the average balanced accuracy in most of situations.
Abstract: At present, variable selection turns to prominence since it obviously alleviate a trouble of measuring multiple variables per sample. The partial least squares regression (PLS-R) and the score of Variable Importance in Projection (VIP) are combined together for variable selection. The value of VIP score which is greater than 1 is the typical rule for selecting relevant variables. Due to a constant cutoff threshold is not sometimes suitable for every data structure, a new cutoff threshold for VIP in classification task has been proposed and then compared to the classical one thru the interesting situation simulation. There were 180 situations generated based on four parameters: Percentage of the number of relevant variables, Magnitude of mean difference of relevant variables between two groups, Degree of correlation between relevant variables, and the sample size. The result of this study presents that the new cutoff threshold can improve in identifying relevant variables more than the previous threshold as seeing of good value of the average balanced accuracy in most of situations.
128 citations
Journal Article•
TL;DR: All the existing methods of solving quartic equations are particular versions of some universal method, which enables producing an arbitrary number of other particular algorithms with some desired properties.
Abstract: All the existing methods of solving quartic equations (Descartes- Euler-Cardano's, Ferrari-Lagrange's, Neumark's, Christianson-Brown's, and Ya- coub-Fraidenraich-Brown's ones) are particular versions of some universal method. It enables producing an arbitrary number of other particular algorithms with some desired properties.
121 citations