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Journal articles on the topic '(a,b)-k-Feature Set'

Author: Grafiati

Published: 11 December 2022

Last updated: 31 July 2025

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1

SUN, Jie, Young-Chan LEE, Hui LI, and Qing-Hua HUANG. "COMBINING B&B-BASED HYBRID FEATURE SELECTION AND THE IMBALANCE-ORIENTED MULTIPLE-CLASSIFIER ENSEMBLE FOR IMBALANCED CREDIT RISK ASSESSMENT." Technological and Economic Development of Economy 21, no. 3 (2015): 351–78. http://dx.doi.org/10.3846/20294913.2014.884024.

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An ideal model for credit risk assessment is supposed to select important features and process imbalanced data sets in an effective manner. This paper proposes an integrated method that combines B&B (branch and bound)-based hybrid feature selection (BBHFS) with the imbalanceoriented multiple-classifier ensemble (IOMCE) for imbalanced credit risk assessment and uses the support vector machine (SVM) and the multiple discriminant analysis (MDA) as the base predictor. BBHFS is a hybrid feature selection method that integrates the t-test and B&B with the k-fold crossvalidation method to sea

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Hasan, Md Junayed, Jaeyoung Kim, Cheol Hong Kim, and Jong-Myon Kim. "Health State Classification of a Spherical Tank Using a Hybrid Bag of Features and K-Nearest Neighbor." Applied Sciences 10, no. 7 (2020): 2525. http://dx.doi.org/10.3390/app10072525.

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Feature analysis puts a great impact in determining the various health conditions of mechanical vessels. To achieve balance between traditional feature extraction and the automated feature selection process, a hybrid bag of features (HBoF) is designed for multiclass health state classification of spherical tanks in this paper. The proposed HBoF is composed of (a) the acoustic emission (AE) features and (b) the time and frequency based statistical features. A wrapper-based feature chooser algorithm, Boruta, is utilized to extract the most intrinsic feature set from HBoF. The selective feature m

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Zhang, Shuailing, Hailin Yu, Bingquan Tian, et al. "Combining UAV Multi-Source Remote Sensing Data with CPO-SVR to Estimate Seedling Emergence in Breeding Sunflowers." Agronomy 14, no. 10 (2024): 2205. http://dx.doi.org/10.3390/agronomy14102205.

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In order to accurately obtain the seedling emergence rate of breeding sunflower and to assess the quality of sowing as well as the merit of sunflower varieties, a method of extracting the sunflower seedling emergence rate using multi-source remote sensing information from unmanned aerial vehicles is proposed. Visible and multispectral images of sunflower seedlings were acquired using a UAV. The thresholding method was used to segment the excess green image of the visible image into vegetation and non-vegetation, to obtain the center point of the vegetation to generate a buffer, and to mask the

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4

GONG, GUIHUA, and HUAXIN LIN. "ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY." International Journal of Mathematics 11, no. 08 (2000): 983–1000. http://dx.doi.org/10.1142/s0129167x0000043x.

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Let X be a compact metric space and A=C(X). Suppose that ℬ is a class of unital C*-algebras satisfying certain conditions, we prove the following: For any ∊>0, finite set F⊂A, there is an integer l such that if ϕ, ψ:A→B(B∈ℬ) are sufficiently multiplicative morphisms (e.g. when both ϕ and ψ are *-homomorphisms) which induce same K-theoretical maps, then there are a unitary u∈Ml+1(B) and a homomorphism σ:A→Ml(B) with finite dimensional image such that [Formula: see text] for all f∈F. In particular, the integer l does not depend on B, ϕ and ψ. This feature has important applications to the cla

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5

Minh, Nguyen Quang. "A Generalisation of Maximal (k,b)-Linear-Free Sets of Integers." Journal of Combinatorial Mathematics and Combinatorial Computing 120, no. 1 (2024): 315–21. http://dx.doi.org/10.61091/jcmcc120-28.

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Fix integers k , b , q with k ≥ 2 , b ≥ 0 , q ≥ 2 . Define the function p to be: p ( x ) = k x + b . We call a set S of integers \emph{ ( k , b , q ) -linear-free} if x ∈ S implies p i ( x ) ∉ S for all i = 1 , 2 , … , q − 1 , where p i ( x ) = p ( p i − 1 ( x ) ) and p 0 ( x ) = x . Such a set S is maximal in [ n ] := { 1 , 2 , … , n } if S ∪ { t } , ∀ t ∈ [ n ] ∖ S is not ( k , b , q ) -linear-free. Let M k , b , q ( n ) be the set of all maximal ( k , b , q ) -linear-free subsets of [ n ] , and define g k , b , q ( n ) = min S ∈ M k , b , q ( n ) | S | and f k , b , q ( n ) = max S ∈ M k ,

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Muhiuddin, G., Ahmad Al-Kenani, Eun Roh, and Young Jun. "Implicative Neutrosophic Quadruple BCK-Algebras and Ideals." Symmetry 11, no. 2 (2019): 277. http://dx.doi.org/10.3390/sym11020277.

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A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache. Using this idea, Jun et al. introduced the notion of neutrosophic quadruple B C K / B C I -numbers, and studied neutrosophic quadruple B C K / B C I -algebras. As a continuation of Jun et al.’s paper, the notion of implicative neutrosophic quadruple B C K -algebras is introduced, and several propertie

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7

Kuba, Gerald. "CANTOR SETS AND FIELDS OF REALS." Matematički Vesnik 74, no. 4 (2022): 249–59. http://dx.doi.org/10.57016/mv-ywug8949.

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Our main result is a construction of four families ${\cal C}_1,{\cal C}_2,{\cal B}_1,{\cal B}_2$ which are equipollent with the power set of ${\Bbb R}$ and satisfy the following properties. (i) The members of the families are proper subfields $K$ of ${\Bbb R}$ where ${\Bbb R}$ is algebraic over $K$. (ii) Each field in ${\cal C}_1\cup{\cal C}_2$ contains a {\it Cantor set}. (iii) Each field in ${\cal B}_1\cup{\cal B}_2$ is a {\it Bernstein set}. (iv) All fields in ${\cal C}_1\cup{\cal B}_1$ are isomorphic. (v) If $K,L$ are fields in ${\cal C}_2\cup{\cal B}_2$ then $K$ is isomorphic to some subf

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KUZNETSOVA, NATALIA. "SEARCH FOR B+ → K+ℓ+ℓ- AND B0 → K*+ℓ+ ℓ-". International Journal of Modern Physics A 16, supp01a (2001): 458–60. http://dx.doi.org/10.1142/s0217751x01007200.

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Using a sample of [Formula: see text] events collected with the BABAR detector at the PEP-II storage ring, we search for the electroweak penguin decays B+→ K+e+e-, B+→ K+μ+μ-, B0→K*0e+e-, and B0→ K*0μ+μ-. We observe no significant signals for these modes and set preliminary 90% C.L. upper limits of [Formula: see text]

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O'Bryant, Kevin. "On the size of finite Sidon sets." Ukrains’kyi Matematychnyi Zhurnal 76, no. 8 (2024): 1192–206. http://dx.doi.org/10.3842/umzh.v76i8.7858.

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UDC 519.1 A Sidon set (also called a Golomb ruler) is a B 2 sequence and a 1 -thin set is a set of integers containing no nontrivial solutions to the equation a + b = c + d . We improve the lower bound for the diameter of a Sidon set with k elements, namely, if k is sufficiently large and 𝒜 is a Sidon set with k elements, then ⅆ i a m ( 𝒜 ) ≥ k 2 - 1.99405 k 3 / 2 . Alternatively, if n is sufficiently large, then the cardinality of the largest subset of { 1,2 , … , n } , which is a Sidon set, does not exceed n 1 / 2 + 0.99703 n 1 / 4 .

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BEUTHE, M., J. PESTIEAU, and G. LÓPEZ CASTRO. "FIELD THEORY APPROACH TO $K^0-\overline{K^0}$ AND $B^0-\overline{B^0}$ SYSTEMS." International Journal of Modern Physics A 13, no. 20 (1998): 3587–600. http://dx.doi.org/10.1142/s0217751x98001682.

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Quantum field theory provides a consistent framework to deal with unstable particles. We present here an approach based on field theory to describe the production and decay of unstable [Formula: see text] and [Formula: see text] mixed systems. The formalism is applied to compute the time evolution amplitudes of K0 and [Formula: see text] studied in DAPHNE and CPLEAR experiments. We also introduce a new set of parameters that describe CP violation in K→ππ decays without recourse to isospin decomposition of the decay amplitudes.

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11

Zhou, Sizhong, Yuli Zhang, and Hongxia Liu. "Some properties of (a, b, k)-critical graphs." Filomat 38, no. 16 (2024): 5885–94. https://doi.org/10.2298/fil2416885z.

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Let a, b and k be nonnegative integers with 1 ? a ? b, and let G be a graph with vertex set V(G) and edge set E(G). Then a spanning subgraph F of G is called an [a, b]-factor if a ? dF (v) ? b for any v ? V(G). A graph G is said to be (a, b, k)-critical if G-D contains an [a, b]-factor for each subset D of k elements of V(G). We use |E(G)| and ?(G) to denote the size and spectral radius, respectively. In this paper, we establish a lower bound on the size and spectral radius of a graph G to ensure that G is (a, b, k)-critical, respectively.

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SANNA, CARLO. "THE QUOTIENT SET OF -GENERALISED FIBONACCI NUMBERS IS DENSE IN." Bulletin of the Australian Mathematical Society 96, no. 1 (2017): 24–29. http://dx.doi.org/10.1017/s0004972716001118.

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The quotient set of $A\subseteq \mathbb{N}$ is defined as $R(A):=\{a/b:a,b\in A,b\neq 0\}$. Using algebraic number theory in $\mathbb{Q}(\sqrt{5})$, Garcia and Luca [‘Quotients of Fibonacci numbers’, Amer. Math. Monthly, to appear] proved that the quotient set of Fibonacci numbers is dense in the $p$-adic numbers $\mathbb{Q}_{p}$ for all prime numbers $p$. For any integer $k\geq 2$, let $(F_{n}^{(k)})_{n\geq -(k-2)}$ be the sequence of $k$-generalised Fibonacci numbers, defined by the initial values $0,0,\ldots ,0,1$ ($k$ terms) and such that each successive term is the sum of the $k$ precedin

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13

Pelagio, Mariane Eliz, Kathlen Mendoza, and Neil Mame. "On the <i>k</i>-restricted Intersection Graph." European Journal of Pure and Applied Mathematics 17, no. 3 (2024): 1779–803. http://dx.doi.org/10.29020/nybg.ejpam.v17i3.5240.

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The problem on intersection graph was introduced by Szpilrajn-Marczewski in 1945. This study introduces a new variant of intersection graph, called the $k$-restricted intersection graph. Let $\mathcal{S}_n$ be a nonempty $n$-element set, for some positive integer $n$ and let $S_{(n,k)}$ be the set of all the $k$-element subsets of $\mathcal{S}_n$ where $0\leq k\leq n$. A $k$-restricted intersection graph, denoted by $G_{S_{(n,k)}}$, is a graph with vertex set $S_{(n,k)}$ such that two vertices $A,B\in S_{(n,k)}$ are adjacent whenever $A\cap B\neq \emptyset$ and $A\neq B$. Here, we determined t

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14

Valerio, Castelli, Di Giovanni Maria, and Gionfriddo Mario. "The Spectrum of P(5)(k,10-k)- designs." Journal of Progressive Research in Mathematics 15, no. 1 (2019): 2578–84. https://doi.org/10.5281/zenodo.3997740.

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Given an hypergraph H^(h), uniform of rank h, an H^(h)-design [or also a design of type} H^(h)] of order v is a pair Sigma=(X,B}), where X is a set of cardinality v and B is a collection of hypergraphs, all isomorphic to H^(h), such that every h-subset of X is an edge of exactly one hypergraph H^(h) belonging to B. An hyperpath P(h)/2 is an uniform hypergraph, having two non disjoint edges. In this paper we determine the spectrum of hyperpath-designs of type P^(5)/2, iin the case that hyperedges have 3 or 4 vertices in common and formulate a conjecture about the cases k=1,2.

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15

Labrigui, Hatim, Mohamed Rossafi, Abdeslam Touri, and Samir Kabbaj. "Integral K-operator frames for B(H)." Annals of the University of Craiova - Mathematics and Computer Science Series 48, no. 1 (2021): 244–57. http://dx.doi.org/10.52846/ami.v48i1.1385.

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In this paper, we will introduce a new notion, that of $K$-Integral operator frames in the set of all bounded linear operators noted $\mathcal{B}(H)$, where $H$ is a separable Hilbert space. Also, we prove some results of integral $K$-operator frame. Lastly we will establish some new properties for the perturbation and stability for an integral $K$-operator frames for $\mathcal{B}(H)$.

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Adame, Luis Enrique, Luis Manuel Rivera, and Ana Laura Trujillo-Negrete. "Hamiltonicity of Token Graphs of Some Join Graphs." Symmetry 13, no. 6 (2021): 1076. http://dx.doi.org/10.3390/sym13061076.

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Let G be a simple graph of order n with vertex set V(G) and edge set E(G), and let k be an integer such that 1≤k≤n−1. The k-token graph G{k} of G is the graph whose vertices are the k-subsets of V(G), where two vertices A and B are adjacent in G{k} whenever their symmetric difference A▵B, defined as (A∖B)∪(B∖A), is a pair {a,b} of adjacent vertices in G. In this paper we study the Hamiltonicity of the k-token graphs of some join graphs. We provide an infinite family of graphs, containing Hamiltonian and non-Hamiltonian graphs, for which their k-token graphs are Hamiltonian. Our result provides

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Liu, Cheng, Junrong Li, Xiheng Liu, et al. "Cross-Domain Feature Enhancement-Based Password Guessing Method for Small Samples." Entropy 27, no. 7 (2025): 752. https://doi.org/10.3390/e27070752.

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As a crucial component of account protection system evaluation and intrusion detection, the advancement of password guessing technology encounters challenges due to its reliance on password data. In password guessing research, there is a conflict between the traditional models’ need for large training samples and the limitations on accessing password data imposed by privacy protection regulations. Consequently, security researchers often struggle with the issue of having a very limited password set from which to guess. This paper introduces a small-sample password guessing technique that enhan

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18

Jabłońska, Eliza. "Characterization of continuous additive set-valued maps “modulo K” on finite dimensional linear spaces." Mathematica Slovaca 74, no. 5 (2024): 1165–72. http://dx.doi.org/10.1515/ms-2024-0084.

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Abstract Let Y be a real vector metric space and K ⊂ Y be a closed convex cone such that K ∩ (− K) = {0}. We prove that a convex compact-valued map F : ℝ → 2 Y ∖ {∅} is K-continuous and K-additive if and only if there are non-empty convex compact sets A, B ⊂ Y such that 0 ∈ A − B ⊂ K and F is equal “modulo K” to the continuous set-valued map G ( t ) = t A , t ≥ 0 , t B , t < 0. $$\begin{array}{} \displaystyle G(t)=\begin{cases} tA,&t\geq0,\\ tB,& t \lt 0. \end{cases} \end{array}$$ Next, we use this result to characterize convex compact-valued maps F : ℝ N → 2 Y ∖ {∅}.

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Palombaro, Mariapia, and Marcello Ponsiglione. "The three divergence free matrix fields problem." Asymptotic Analysis 40, no. 1 (2004): 37–49. https://doi.org/10.3233/asy-2004-643.

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We prove that for any connected open set Ω⊂ $\mathbb{R}$ n and for any set of matrices K={A1,A2,A3}⊂ $\mathbb{M}$ m×n, with m≥n and rank(Ai−Aj)=n for i≠j, there is no non‐constant solution B∈L∞(Ω, $\mathbb{M}$ m×n), called exact solution, to the problem Div B=0 in 𝒟′(Ω, $\mathbb{R}$ m) and B(x)∈K a.e.in Ω. In contrast, Garroni and Nesi [10] exhibited an example of set K for which the above problem admits the so‐called approximate solutions. We give further examples of this type. We also prove non‐existence of exact solutions when K is an arbitrary set of matrices satisfying a certain algebraic

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J., B. TORANAGATTI. "A NOTE ON REGULAR GENERALIZED B-CLOSED SETS IN TOPOLOGICAL SPACES." Asian Journal of Current Research 2, no. 1 (2017): 20–21. https://doi.org/10.5281/zenodo.1408486.

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In this article, we point out that the collection of rgb-closed sets due to K. Mariappa and S. Sekar [1] means nothing to a power set. Further, we also established that the concepts of rgb-closed sets and gspr-closed sets are same.

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Taghavi, Ali, Tahere Roushan, and Vahid Darvish. "Some upper bounds for the Berezin number of Hilbert space operators." Filomat 33, no. 14 (2019): 4353–60. http://dx.doi.org/10.2298/fil1914353t.

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In this paper, we obtain some Berezin number inequalities based on the definition of Berezin symbol. Among other inequalities, we show that if A,B be positive definite operators in B(H), and A#B is the geometric mean of them, then ber2(A#B) ? ber (A2+B2/2)- 1/2 inf ????(?k); where ?(?k?) = ?(A-B)?k?,?k??2, and ?k? is the normalized reproducing kernel of the space H for ? belong to some set.

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Phattarachaleekul, Maliwan. "On Filter of Cyclic B-Algebras." European Journal of Pure and Applied Mathematics 17, no. 1 (2024): 116–23. http://dx.doi.org/10.29020/nybg.ejpam.v17i1.4977.

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This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.

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Al-Shamery, Eman S., and Ali A. Rahoomi Al-Obaidi. "A New Approach of Rough Set Theory for ‎Feature Selection and Bayes Net Classifier ‎Applied on Heart Disease Dataset." JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences 26, no. 2 (2017): 15–26. http://dx.doi.org/10.29196/jub.v26i2.470.

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In this paper a new approach of rough set features selection has been proposed. Feature selection has been used for several reasons a) decrease time of prediction b) feature possibly is not found c) present of feature case bad prediction. Rough set has been used to select most significant features. The proposed rough set has been applied on heart diseases data sets. The main problem is how to predict patient has heart disease or not depend on given features. The problem is challenge, because it cannot determine decision directly .Rough set has been modified to get attributes for prediction by

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24

Tuncer, Turker, Sengul Dogan, Moloud Abdar, Mohammad Ehsan Basiri, and Paweł Pławiak. "Face Recognition with Triangular Fuzzy Set-Based Local Cross Patterns in Wavelet Domain." Symmetry 11, no. 6 (2019): 787. http://dx.doi.org/10.3390/sym11060787.

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In this study, a new face recognition architecture is proposed using fuzzy-based Discrete Wavelet Transform (DWT) and fuzzy with two novel local graph descriptors. These graph descriptors are called Local Cross Pattern (LCP). The proposed fuzzy wavelet-based face recognition architecture consists of DWT, Triangular fuzzy set transformation, and textural feature extraction with local descriptors and classification phases. Firstly, the LL (Low-Low) sub-band is obtained by applying the 2 Dimensions Discrete Wavelet Transform (2D DWT) to face images. After that, the triangular fuzzy transformation

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25

BOUCHIBA, SAMIR. "KRULL DIMENSION OF TENSOR PRODUCTS OF PULLBACKS." Journal of Algebra and Its Applications 08, no. 03 (2009): 319–38. http://dx.doi.org/10.1142/s0219498809003345.

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This paper is concerned with the study of the dimension theory of tensor products of algebras over a field k. We answer an open problem set in [6] and compute dim (A ⊗k B) when A is a k-algebra arising from a specific pullback construction involving AF-domains and B is an arbitrary k-algebra. On the other hand, we deal with the question (Q) set in [5] and show, in particular, that such a pullback A is in fact a generalized AF-domain.

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Kemoto, Nobuyuki. "Stationary subspaces in ordered spaces." Bulletin of the Australian Mathematical Society 40, no. 3 (1989): 381–87. http://dx.doi.org/10.1017/s000497270001741x.

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In this paper, we shall characterise the B(k)-property in generalised ordered (GO) spaces as follows.For every uncountable regular cardinal K, every GO space has the B(K)-property if and only if it has no closed subspace which is homeomorphic to a stationary set in K (with the subspace topology in K).

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KURAUSKAS, VALENTAS, and COLIN McDIARMID. "Random Graphs with Few Disjoint Cycles." Combinatorics, Probability and Computing 20, no. 5 (2011): 763–75. http://dx.doi.org/10.1017/s0963548311000186.

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The classical Erdős–Pósa theorem states that for each positive integer k there is an f(k) such that, in each graph G which does not have k + 1 disjoint cycles, there is a blocker of size at most f(k); that is, a set B of at most f(k) vertices such that G−B has no cycles. We show that, amongst all such graphs on vertex set {1,. . .,n}, all but an exponentially small proportion have a blocker of size k. We also give further properties of a random graph sampled uniformly from this class, concerning uniqueness of the blocker, connectivity, chromatic number and clique number.A key step in the proof

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CASEY, BRENDAN C. K. "RARE B MESON DECAYS WITHOUT CHARM FROM BELLE." International Journal of Modern Physics A 16, supp01a (2001): 452–57. http://dx.doi.org/10.1142/s0217751x01007194.

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We report preliminary results on searches for radiative and charmless hadronic B meson decay modes using 5.27 million [Formula: see text] pairs recorded on the ϒ(4S) resonance by the Belle experiment at KEKB. Both inclusive b → sγ and exclusive B → K*γ modes are observed and limits are set on the ratio B → ργ/ B→ K*γ. We see evidence for the [Formula: see text] mode B+ → ϕ K+, and several pseudo-scalar + pseudo-scalar modes. Significant signals are observed in the K+ π-, K+ π0, and K0π0 modes. We see evidence for the K0π+, π+π-, and π+ π0 modes however, the significance is small. No signal is

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Vuk, Saša, Bruno Damjan, and Marija Ivanković. "Effects of short and long inter-set rest on maximal isokinetic strength at slow and fast angular velocities in trained young males after eight weeks of resistance training ." Kinesiology 56, no. 1 (2024): 117–26. http://dx.doi.org/10.26582/k.56.1.14.

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Resistance training is a widely used method to enhance muscle strength, with acute program variables influencing muscle adaptations. This study focused on the often-neglected variable of inter-set rest interval duration and its impact on muscle strength gains. Existing literature presents conflicting findings, with some studies advocating for longer rest intervals, while the others show comparable strength increases with shorter rests. Methodological differences in prescription and sample groups contributed to these inconsistencies. This study investigated the effect of short and long inter-se

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Witte, Malte. "On a Localisation Sequence for the K-Theory of Skew Power Series Rings." Journal of K-Theory 11, no. 1 (2013): 125–54. http://dx.doi.org/10.1017/is013001019jkt198.

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AbstractLet B = A[[t;σ,δ]] be a skew power series ring such that σ is given by an inner automorphism of B. We show that a certain Waldhausen localisation sequence involving the K-theory of B splits into short split exact sequences. In the case that A is noetherian we show that this sequence is given by the localisation sequence for a left denominator set S in B. If B = ℤp[[G]] happens to be the Iwasawa algebra of a p-adic Lie group G ≅ H ⋊ ℤp, this set S is Venjakob's canonical Ore set. In particular, our result implies thatis split exact for each n ≥ 0. We also prove the corresponding result

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Cheng, Xian Guo. "B-Spline Curve Approximation Using Feature Points." Applied Mechanics and Materials 397-400 (September 2013): 1093–98. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.1093.

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This paper addresses the problem of B-spline curve approximating to a set of dense and ordered points. We choose local curvature maximum points based on the curvature information. The points and the two end points are viewed as initial feature points, constructing a B-spline curve approximating to the feature points by the least-squares method, refining the feature points according to the shape information of the curve, and updating the curve. This process is repeated until the maximum error is less than the given error bound. The approach adaptively placed fewer knots at flat regions but more

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Nisreen, Khalil Abed, Theyab Abed Faisal, F. Al-Yasriy Hamdalla, and TH. Salim ALRikabi Haider. "Detection of power transmission lines faults based on voltages and currents values using K-nearest neighbors." International Journal of Power Electronics and Drive Systems 14, no. 02 (2023): 1033~1043. https://doi.org/10.11591/ijpeds.v14.i2.pp1033-1043.

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The critical factors to consider when implementing a maintenance plan for energy transmission lines are, accuracy, speed, and time, because of the increased global demand for electricity power caused by rapid development, and overuse of electric power transmission lines (both underground cables and overhead transmission lines), which in turn reduces the efficiency of the lines. Consequently, the efficiency of the lines may be reduced as a result of overuse or other activities like excavation that may have tampered with the cables. Thus, it becomes important to investigate the faults to which t

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Cahyati, Era Setya, Rambu Maya Imung Maharani, Sri Nurhayati, and Yeni Susanti. "GENERALIZED NON-BRAID GRAPHS OF RINGS." Journal of Fundamental Mathematics and Applications (JFMA) 5, no. 2 (2022): 192–201. http://dx.doi.org/10.14710/jfma.v5i2.14152.

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In this paper, we introduce the definition of generalized non-braid graph of a given ring. Let $R$ be a ring and let $k$ be a natural number. By generalized braider of $R$ we mean the set $B^k(R):=\{x \in R~|~\forall y \in R,~ (xyx)^k = (yxy)^k\}$. The generalized non-braid graph of $R$, denoted by $G_k(\Upsilon_R)$, is a simple undirected graph with vertex set $R\backslash B^k(R)$ and two distinct vertices $x$ and $y$ are adjacent if and only if $(xyx)^k \neq (yxy)^k$. In particular, we investigate some properties of generalized non-braid graph $G_k(\Upsilon_{\mathbb{Z}_n})$ of the ring $\mat

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34

Acharyya, Amrita. "Type B set partitions, an analogue of restricted growth functions." Ars Combinatoria 162 (March 30, 2025): 191–204. https://doi.org/10.61091/ars162-14.

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<p> In this work, we study type B set partitions for a given specific positive integer \(k\) defined over \(\langle n \rangle = \{-n, -(n-1), \cdots, -1, 0, 1, \cdots, n-1, n\}\). We found a few generating functions of type B analogues for some of the set partition statistics defined by Wachs, White and Steingr&iacute;msson for partitions over positive integers \([n] = \{1, 2, \cdots, n\}\), both for standard and ordered set partitions respectively. We extended the idea of restricted growth functions utilized by Wachs and White for set partitions over \([n]\), in the scenario of \(\l

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35

Sadad, Tariq, Ayyaz Hussain, Asim Munir, et al. "Identification of Breast Malignancy by Marker-Controlled Watershed Transformation and Hybrid Feature Set for Healthcare." Applied Sciences 10, no. 6 (2020): 1900. http://dx.doi.org/10.3390/app10061900.

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Breast cancer is a highly prevalent disease in females that may lead to mortality in severe cases. The mortality can be subsided if breast cancer is diagnosed at an early stage. The focus of this study is to detect breast malignancy through computer-aided diagnosis (CADx). In the first phase of this work, Hilbert transform is employed to reconstruct B-mode images from the raw data followed by the marker-controlled watershed transformation to segment the lesion. The methods based only on texture analysis are quite sensitive to speckle noise and other artifacts. Therefore, a hybrid feature set i

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36

Kameneva, V. V., and V. A. Kofanov. "Bojanov-Naidenov problem for positive (negative) parts of differentiable functions on the real domain." Dnipro University Mathematics Bulletin 26, no. 1 (2018): 25. http://dx.doi.org/10.15421/241804.

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We solve the extremal problem $$$\| x^{(k)}_{\pm} \|_{L_p[a,b]} \rightarrow \sup$$$, $$$k = 0, 1, ..., r-1$$$, over the set of pairs $$$(x, I)$$$ of functions $$$x\in W^r_{\infty} (\mathbb{R})$$$ and intervals $$$I = [a,b]$$$ with restrictions on the local norm of function $$$x$$$ and the measure of support $$$\mu \{ \mathrm{supp}_{[a,b]} x^{(k)}_{\pm} \}$$$.

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37

Heinrich, S., C. Ward Henson та L. C. Moore. "Elementary equivalence of Cσ(K) spaces for totally disconnected, compact Hausdorff K". Journal of Symbolic Logic 51, № 1 (1986): 135–46. http://dx.doi.org/10.2307/2273950.

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This paper is a continuation of the authors' paper [7]; in particular, we give a sharper and more useful criterion for the approximate elementary equivalence of Cσ(K) spaces, where K is a totally disconnected compact Hausdorff space. (See Theorem 2 below.) As an application, we obtain a complete description of the Banach spaces X which are approximately equivalent to c0. Namely, X ≡ Ac0 iff X = Cσ(K) where K is a totally disconnected compact Hausdorff space which has a dense set of isolated points and σ is an involutory homeomorphism on K which has a unique fixed point t, and t is not an isola

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38

Dalla Riva, Matteo, Gennady Mishuris, and Paolo Musolino. "A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN." Mathematical Modelling and Analysis 28, no. 3 (2023): 509–21. http://dx.doi.org/10.3846/mma.2023.17681.

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We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then, we investigate the asymptotic behavior of the displacement solution as the Robin condition turns into a pure traction one. To wit, there will be a matrix function b[k](·) that depends analytically on a real parameter k and vanishes for k = 0 and we multiply the Dirichlet-like part of the Robin condition by b[k](·). We show that the displacement solution can be written in terms of power series of k that converge for k in a whole neighborhood of 0. Fo

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Mehta, R. D., and M. H. Vasavada. "On the direct sum decomposition of an algebra of continuous functions." Bulletin of the Australian Mathematical Society 32, no. 1 (1985): 69–71. http://dx.doi.org/10.1017/s0004972700009722.

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Let A and B be closed subalgebras of Cr(K) whose direct sum is Cr(K) According to a result of Stephen Fisher the set of common zeros of elements of B is a retract of K. We give examples to show that this result is not correct.

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40

Gu, Ze. "On the Multiplicity of a Proportionally Modular Numerical Semigroup." Discrete Dynamics in Nature and Society 2021 (September 7, 2021): 1–5. http://dx.doi.org/10.1155/2021/3982297.

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A proportionally modular numerical semigroup is the set S a , b , c of nonnegative integer solutions to a Diophantine inequality of the form a x mod b ≤ c x , where a , b , and c are positive integers. A formula for the multiplicity of S a , b , c , that is, m S a , b , c = k b / a for some positive integer k , is given by A. Moscariello. In this paper, we give a new proof of the formula and determine a better bound for k . Furthermore, we obtain k = 1 for various cases and a formula for the number of the triples a , b , c such that k ≠ 1 when the number a − c is fixed.

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41

Green, Ben. "Waring’s problem with restricted digits." Compositio Mathematica 161, no. 2 (2025): 341–64. https://doi.org/10.1112/s0010437x24007723.

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Abstract Let $k \geqslant 2$ and $b \geqslant 3$ be integers, and suppose that $d_1, d_2 \in \{0,1,\dots , b - 1\}$ are distinct and coprime. Let $\mathcal {S}$ be the set of non-negative integers, all of whose digits in base $b$ are either $d_1$ or $d_2$ . Then every sufficiently large integer is a sum of at most $b^{160 k^2}$ numbers of the form $x^k$ , $x \in \mathcal {S}$ .

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42

Cherednik, Igor V. "On the use of binary operations for the construction of a multiply transitive class of block transformations." Discrete Mathematics and Applications 31, no. 2 (2021): 91–111. http://dx.doi.org/10.1515/dma-2021-0009.

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Abstract We continue to study the set of block transformations $ \{{\it\Sigma}^F : F\in\mathcal B^*({\it\Omega})\} $ implemented by a binary network Σ endowed with a binary operation F invertible in the second variable. For an arbitrary k⩾2 we obtain necessary and sufficient conditions for k-transitivity of the set of transformations $ \{{\it{\it\Sigma}}^F \colon F\in\mathcal B^*({\it\Omega})\} $ , and propose an efficient method for checking whether these conditions hold. We also introduce two methods for construction of networks Σ such that the sets of transformations $ \{{\it\Sigma}^F\colon

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43

Petit III, Robert A., James M. Hogan, Matthew N. Ezewudo, Sandeep J. Joseph, and Timothy D. Read. "Fine-scale differentiation between Bacillus anthracis and Bacillus cereus group signatures in metagenome shotgun data." PeerJ 6 (August 22, 2018): e5515. http://dx.doi.org/10.7717/peerj.5515.

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Background It is possible to detect bacterial species in shotgun metagenome datasets through the presence of only a few sequence reads. However, false positive results can arise, as was the case in the initial findings of a recent New York City subway metagenome project. False positives are especially likely when two closely related are present in the same sample. Bacillus anthracis, the etiologic agent of anthrax, is a high-consequence pathogen that shares >99% average nucleotide identity with Bacillus cereus group (BCerG) genomes. Our goal was to create an analysis tool that used k-mers t

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44

Kofanov, V. A. "Solution of Bojanov-Naidenov problem with constraints for the norm $\|x\|_{p,\delta} = \sup \bigl\{ \| x \|_{L_p[a;b]} \colon a,b\in \mathbb{R}, b-a\leqslant \delta \bigr\}$." Researches in Mathematics 25 (June 26, 2017): 41. http://dx.doi.org/10.15421/241705.

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For given $r\in \mathbb{N}$; $p,\lambda > 0$ and fixed interval $[a;b] \subset \mathbb{R}$ we solve the extremal problems 1) $\int\limits_a^b |x(t)|^q dt \rightarrow \sup$, $q > p$, 2) $\int\limits_a^b |x^{(k)}(t)|^q dt \rightarrow \sup$, $q \geqslant 1$, $k\in \mathbb{N}$, $k < r$, on the set of functions $f\in L^r_{\infty}$ such that $\|x^{(r)}\|_{\infty} \leqslant 1$, $\|x\|_{p,\delta} \leqslant \| \varphi_{\lambda,r} \|_{p,\delta}$, $\delta \in (0,\pi / \lambda)$.

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45

Nurutdinova, Alsu Rafailovna, and Sergei Victorovich Shalagin. "Recognition of multiple sequences by subgroups of autonomous probabilistic automata." Laplage em Revista 6, Extra-B (2020): 160–68. http://dx.doi.org/10.24115/s2446-622020206extra-b608p.155-162.

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Recognition of a group of sequences is carried out using a set of k subgroups, each of which includes b autonomous probabilistic automata (APA) set on the basis of ergodic stochastic matrices (ESM) of a certain subclass. Each of the b APA within k subgroups has a common set of states of a given power, and the vector of the initial distribution of each of these APA is determined by the distribution law of the first element of the corresponding sequence. The subgroup input from b APA receives element-wise members of b sequences.. The obtained probability vectors are subjected to clustering by th

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46

Nurutdinova, Alsu Rafailovna, and Sergei Victorovich Shalagin. "Recognition of multiple sequences by subgroups of autonomous probabilistic automata." Laplage em Revista 6, Extra-B (2020): 160–68. http://dx.doi.org/10.24115/s2446-622020206extra-b608p.160-168.

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Recognition of a group of sequences is carried out using a set of k subgroups, each of which includes b autonomous probabilistic automata (APA) set on the basis of ergodic stochastic matrices (ESM) of a certain subclass. Each of the b APA within k subgroups has a common set of states of a given power, and the vector of the initial distribution of each of these APA is determined by the distribution law of the first element of the corresponding sequence. The subgroup input from b APA receives element-wise members of b sequences.. The obtained probability vectors are subjected to clustering by th

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47

Bräker, H., T. Hsing, and N. H. Bingham. "On the Hausdorff distance between a convex set and an interior random convex hull." Advances in Applied Probability 30, no. 02 (1998): 295–316. http://dx.doi.org/10.1017/s0001867800047297.

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The problem of estimating an unknown compact convex set K in the plane, from a sample (X 1,···,X n ) of points independently and uniformly distributed over K, is considered. Let K n be the convex hull of the sample, Δ be the Hausdorff distance, and Δ n := Δ (K, K n ). Under mild conditions, limit laws for Δ n are obtained. We find sequences (a n ), (b n ) such that (Δ n - b n )/a n → Λ (n → ∞), where Λ is the Gumbel (double-exponential) law from extreme-value theory. As expected, the directions of maximum curvature play a decisive role. Our results apply, for instance, to discs and to the inte

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48

Abo-Zeida, R. "Global behavior of a higher order rational difference equation." Filomat 30, no. 12 (2016): 3265–76. http://dx.doi.org/10.2298/fil1612265a.

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In this paper, we derive the forbidden set and discuss the global behavior of all solutions of the difference equation xn+1=Axn-k/B-C ?k,i=0 xn-i, n = 0,1,... where A,B,C are positive real numbers and the initial conditions x-k,..., x-1, x0 are real numbers.

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49

El Bhih, A., Y. Benfatah, A. Ghazaoui, and M. Rachik. "On the maximal output set of fractional-order discrete-time linear systems." Mathematical Modeling and Computing 9, no. 2 (2022): 262–77. http://dx.doi.org/10.23939/mmc2022.02.262.

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In this paper, we consider a linear discrete-time fractional-order system defined by \[\Delta ^{\alpha }x_ {k+1}=Ax_k+B u_k, \quad k \geq 0, \quad x_{0} \in \mathbb{R}^{n};\] \[y_{k}=Cx_k, \quad k \geq 0,\] where $A$, $B$ and $C$ are appropriate matrices, $x_{0}$ is the initial state, $\alpha$ is the order of the derivative, $y_k$ is the signal output and $u_k=K x_k$ is feedback control. By defining the fractional derivative in the Grunwald–Letnikov sense, we investigate the characterization of the maximal output set, $\Gamma(\Omega)=\lbrace x_{0} \in \mathbb{R}^{n}/y_{i} \in \Omega,\forall i

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50

Dicks, Warren. "Homogeneous elements of free algebras have free idealizers." Mathematical Proceedings of the Cambridge Philosophical Society 97, no. 1 (1985): 7–26. http://dx.doi.org/10.1017/s030500410006254x.

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AbstractLet k be a field, X a set, F = k 〈X〉 the free associative k-algebra, and b an element of F that is homogeneous with respect to the grading of F induced by some map . We show that the idealizer of b in F, S = {f∈F|fb∈bF}, is a free algebra.

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