• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.743-749
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• 2021

The purpose of this article is to study few properties of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, the idea of fuzzy mean clopen set is introduced. It is observed that a fuzzy mean clopen set is both fuzzy mean open and fuzzy mean closed but the converse is not true.

• Kyungpook Mathematical Journal
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• v.56 no.4
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• pp.1259-1265
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• 2016

In this paper, we introduce the notions of mean open and closed sets in topological spaces, and obtain some properties of such sets. We observe that proper paraopen and paraclosed sets are identical to mean open and closed sets respectively.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.17 no.6
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• pp.1743-1758
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• 2023

Automatic modulation classification is a critical algorithm for non-cooperative communication systems. This paper addresses the challenging problem of closed-set and open-set signal modulation classification in complex channels. We propose a novel approach that incorporates a self-learning filter and center-loss in Deep Residual Shrinking Networks (DRSN) for closed-set modulation classification, and the Opendistance method for open-set modulation classification. Our approach achieves better performance than existing methods in both closed-set and open-set recognition. In closed-set recognition, the self-learning filter and center-loss combination improves recognition performance, with a maximum accuracy of over 92.18%. In open-set recognition, the use of a self-learning filter and center-loss provide an effective feature vector for open-set recognition, and the Opendistance method outperforms SoftMax and OpenMax in F1 scores and mean average accuracy under high openness. Overall, our proposed approach demonstrates promising results for automatic modulation classification, providing better performance in non-cooperative communication systems.

• Bulletin of the Korean Mathematical Society
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• v.52 no.6
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• pp.2095-2105
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• 2015

Given c, a positive integer, we set. $$M(f,c):=\frac{2}{{\phi}(f)}\sum_{{\chi}{\in}X^-_f}{\chi}(c)|L(1,{\chi})|^2$$, where $X^-_f$ is the set of the $\phi$(f)/2 odd Dirichlet characters mod f > 2, with gcd(f, c) = 1. We point out several mistakes in recently published papers and we give explicit closed formulas for the f's such that their prime divisors are all equal to ${\pm}1$ modulo c. As a Corollary, we obtain closed formulas for M(f, c) for c $\in$ {1, 2, 3, 4, 5, 6, 8, 10}. We also discuss the case of twisted quadratic moments for primitive characters.

• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.7-10
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• 1985

For each a.mem.S and f.mem.m(S), denote by $l_{a}$ f(s)=f(as) for all s.mem.S. If A is a norm closed left translation invariant subalgebra of m(S) (i.e. $l_{a}$ f.mem.A whenever f.mem.A and a.mem.S) containing 1, the constant ont function on S and .phi..mem. $A^{*}$, the dual of A, then .phi. is a mean on A if .phi.(f).geq.0 for f.geq.0 and .phi.(1) = 1, .phi. is multiplicative if .phi. (fg)=.phi.(f).phi.(g) for all f, g.mem.A; .phi. is left invariant if .phi.(1sf)=.phi.(f) for all s.mem.S and f.mem.A. It is well known that the set of multiplicative means on m(S) is precisely .betha.S, the Stone-Cech compactification of S[7]. A subalgebra of m(S) is (extremely) left amenable, denoted by (ELA)LA if it is nom closed, left translation invariant containing contants and has a multiplicative left invariant mean (LIM). A semigroup S is (ELA) LA, if m(S) is (ELA)LA. A subset E.contnd.S is left thick (T. Mitchell, [4]) if for any finite subser F.contnd.S, there exists s.mem.S such that $F_{s}$ .contnd.E or equivalently, the family { $s^{-1}$ E : s.mem.S} has finite intersection property.y.

• Journal of Applied and Pure Mathematics
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• v.5 no.3_4
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• pp.237-253
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• 2023

Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} & \;\;p\text{ is even} \\ {\frac{p-1}{2}} & \;\;p\text{ is odd,}$$ and M = {±1, ±2, … ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling ${\frac{{\lambda}(u)+{\lambda}(v)}{2}}$ if λ(u) + λ(v) is even and ${\frac{{\lambda}(u)+{\lambda}(v)+1}{2}}$ if λ(u) + λ(v) is odd such that ${\mid}{\bar{{\mathbb{S}}}}_{\lambda}{_1}-{\bar{{\mathbb{S}}}}_{{\lambda}^c_1}{\mid}{\leq}1$ where ${\bar{{\mathbb{S}}}}_{\lambda}{_1}$ and ${\bar{{\mathbb{S}}}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of few graphs including the closed helm graph, web graph, jewel graph, sunflower graph, flower graph, tadpole graph, dumbbell graph, umbrella graph, butterfly graph, jelly fish, triangular book graph, quadrilateral book graph.

• Journal of the Korean Academy of Clinical Electrophysiology
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• v.8 no.2
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• pp.13-18
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• 2010

Purpose : This study investigates the effects on balanced ability and ankle joint muscle following balance pad and trampoline training periods in order to report a clinical directing about this matter. Methods : A total of nine members participated in a balance training program that put a balance pad and trampoline to use. Participants trained three times a week for thirty minutes in groups of six. Resting time was set for two minutes. EMG (median frequency and root mean square) was used to measure muscle activity at 3 weeks and 6 weeks, respectively. The tibialis anterior and gastrocnemius muscles were measured. Participants were measured with eyes open and closed. Results : The median frequency showed a significant difference according to the change in time in both muscles. Also, results showed a significant interaction between eyes open and closed in the gastrocnemius muscle. The root mean square only showed a significant difference according to the change in time in the gastrocnemius muscle. Conclusion : We suggest that the balance pad and trampoline training influence a decrease in the recruitment rate of slow twitch muscles through an improvement in balance ability; however, the training did not show a statistically significant difference with regards to eyes open and closed.

• ETRI Journal
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• v.16 no.2
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• pp.15-25
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• 1994

In this paper we present a new formula which can predict the exact detection probability of a generalized order statistics (GOS) constant false alarm rate (DFAR) detector for a partially correlated Rayleigh target model (0 < $ \rho$< 1) in a closed form, where $\rho$ is the correlation coefficient between returned pulses. By simply substituting a set of specific coefficient into the derived formula, one can obtain the detection probability of any kind of CFAR detector. Detectors may include the order statistics CFAR detector, the censored mean level detector, and the trimmed mean CFAR detector, but are not necessarily restricted to them. The numerical result for the first order Markov correlation model as applied to some of the detectors shows that as $\rho$ increases from zero to one, higher signal-to-noise ratio is required to achieve the same detection probability.

• Journal of Korean Academy of Nursing
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• v.11 no.1
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• pp.29-44
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• 1981

Nursing role tends to be more complex then before because of the increased number of health professionals and of the health needs of patient. Accordingly, nursing role expectations are various and sometimes conflict by its role set. There are various literatures on role conflict of nurses and discussed how to eliminate the conflict in order to improve nursing service particularly in the hospital organization. This study was designed to determine if role conflict exist among nurses who work in a hospital and if so what resolution were most frequently selected by the nurses to the role conflict. The study population was fifty six registered nurses of K university hospital. The fifty six was defined and selected by nonproportional stratified sampling method to obtain subjects who are from uniform role set. A questionnaire, a list of role connect, stimulated by the literature review, knowledge based on several years' experience in nursing was formulated by the author and administered to the study population. The questionnaire included twenty nine closed question items of role conflict and classified according to the intra sender conflict, intersender conflict, person conflict and interperson conflict. The response choices to the questions range on a scale continuum with degrees of conflict from one to five: never - 0, seldom - 1, occasionally - 2, frequently - 3, and mostly -4. Per cent, means, standard deviation, and x² -test were used to analyze data. The findings of the study could be summarized as follows. 1. General characterstics of the study population: Most of the population were between the age of 22-27 and are not married. 2. Analysis of Role conflict Existence of Role conflict of nurses was found by the total mean conflict score, 2.06. Inter Sender Role conflict revealed the most high mean conflict score and the lowest one was inter person role conflict. Among the five role senders of nurses: Physician, patient and hi9 family, peer and superior, nursing students and hospital administrator, nurses showed the highest conflict mean score for physicians and the lowest score for Nursing student. 3. Analysis of role conflict resolution. Compromise through discussion with the role sender was the most frequently selected method by the respondents. The result also showed that the respondents tend to resolve the conflicting situation created by patient or his family by persuation. On the o thor hand, Avoidance and ignorance was frequently chosen for the conflicting role expectations from the hospital administrator.

• Structural Engineering and Mechanics
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• v.4 no.3
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• pp.277-301
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• 1996

A finite element model of a beam element with flexible connections is used to investigate the effect of the randomness in the stiffness values on the modal properties of the structural system. The linear behavior of the connections is described by a set of random fixity factors. The element mass and stiffness matrices are function of these random parameters. The associated eigenvalue problem leads to eigenvalues and eigenvectors which are also random variables. A second order perturbation technique is used for the solution of this random eigenproblem. Closed form expressions for the 1st and 2nd order derivatives of the element matrices with respect to the fixity factors are presented. The mean and the variance of the eigenvalues and vibration modes are obtained in terms of these derivatives. Two numerical examples are presented and the results are validated with those obtained by a Monte-Carlo simulation. It is found that an almost linear statistical relation exists between the eigenproperties and the stiffness of the connections.