• Communications of the Korean Mathematical Society
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• v.30 no.4
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• pp.447-456
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• 2015

In this paper, we investigate the differential-difference equation $(f(z+c)-f(z))^2+P(z)^2(f^{(k)}(z))^2=Q(z)$, where P(z), Q(z) are nonzero polynomials. In addition, we also investigate Fermat type q-difference differential equations $f(qz)^2+(f^{(k)}(z))^2=1$ and $(f(qz)-f(z))^2+(f^{(k)}(z))^2=1$. If the above equations admit a transcendental entire solution of finite order, then we can obtain the precise expression of the solution.

• Bulletin of the Korean Mathematical Society
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• v.59 no.6
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• pp.1327-1337
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• 2022

Zero-difference balanced (ZDB) functions can be applied to many areas like optimal constant composition codes, optimal frequency hopping sequences etc. Moreover, it has been shown that the image set of some ZDB functions is a regular partial difference set, and hence provides strongly regular graphs. Besides, perfect nonlinear functions are zero-difference balanced functions. However, the converse is not true in general. In this paper, we use the decomposition of cyclotomic polynomials into irreducible factors over 𝔽_p, where p is an odd prime to generalize some recent results on ZDB functions. Also we extend a result introduced by Claude et al. [3] regarding zero-difference-p-balanced functions over 𝔽_pⁿ. Eventually, we use these results to construct some optimal constant composition codes.

• Asia Marketing Journal
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• v.25 no.1
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• pp.15-25
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• 2023

Innovation is no longer the purview of high-tech industries; it is blossoming in the home appliances and cosmetics sectors. However, consumers' anxiety about the risk of new products prevents them from reaping the benefits of innovation. This anxiety is driven by customer's lack of prior information on new products. This study examines how difference age between the chronological age of consumers and their cognitive age affects consumers' willingness to search for information on innovative products, leading to reduced new-product anxiety. According to a survey of participants who actually bought an innovative product, we found that participants searched for more information when they perceived themselves to be younger than their chronological age (a high difference age). Where participants did not proactively search for information (due to a low difference age), they could be encouraged to do this through marketing campaigns. Together, these findings expand our understanding of how consumers' difference age can be leveraged in digital marketing to enable companies to more strategically reach consumers when planning or launching innovative products.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.9 no.2
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• pp.55-64
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• 2005

In this paper, generalized difference methods(GDM) for one-dimensional viscoelastic problems are proposed and analyzed. The new initial values are given in the generalized difference scheme, so we obtain optimal error estimates in $L^p$ and $W^{1,p}(2\;{\leq}\;p\;{\leq}\;{\infty})$ as well as some superconvergence estimates in $W^{1,p}(2\;{\leq}\;p\;{\leq}\;{\infty})$ between the GDM solution and the generalized Ritz-Volterra projection of the exact solution.

• Kyungpook Mathematical Journal
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• v.46 no.3
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• pp.433-436
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• 2006

In this note we show that a representable difference algebra is equivalent to a commutative BCK-algebra.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.1
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• pp.105-112
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• 2011

In this paper, we investigate h-stability of the nonlinear perturbed difference system by using comparison principle.

• The Journal of Korean Medicine
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• v.25 no.2
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• pp.207-219
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• 2004

Objectives : We investigated to find the relationship between single-nucleotide polymorphism (SNP) of IL4R, IL-10 and bee venom therapy efficacy in patients with RA treated with bee venom for 8 weeks. Methods : Korean RA patients (n=114) and healthy subjects (n=109) were included in this prospective study. Korean bee venom was dissolved in saline (diluted 1:3000) and administrated into acupuncture points. Bee venom therapy was applied twice a week and continued for 8 weeks. The clinical response was evaluated using various assessments before and after treatment. Disease severity was measured by determining the number of tender joints and swollen joints. Laboratory studies included ESR, CRP, and rheumatoid factor. Genotyping for IL-4R and IL-10 polymorphism was done by pyrosequencing analysis. Results : 1. In IL4R genotypes, there was significant difference between RA ptitients tind controls group. 2. In IL4R genotypes, there was significant difference among Good, Mild and Bad responders to in RA patients, but in the frequency of alleles and carriers, there were no significant difference. 3. There was no significant difference between RA patients and controls group in IL-10 gene genotypes. 4. In IL-10 genotypes, there was no significant difference among Good, Mild and Bad responders to in RA patients. 5. There was no significant difference in the improvement of ESR, CRP and KHAQ scores after bee venom therapy in RA patients among the IL4R or IL-10 genotypes. Conclusions : In IL-4R genotypes, there was significant difference between RA patients and control group, and among Good, Mild and Bad responders in RA patients. However, in IL-10 genotypes, there was no significant difference between RA patients and controls group and among Good, Mild and Bad responders in RA patients.

• Journal of applied mathematics & informatics
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• v.8 no.2
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• pp.473-489
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• 2001

The notion of difference for two convex compact sets in Rⁿ, proposed by Rubinov et al, is generalized to R/sub mxn/. A formula of the difference for the two sets, which are convex hulls of a finite number of points, is developed. In the light of this difference, the relation between Clarke generalized Jacobian and quasidifferential, in the sense of Demyanov and Rubinov, for a nonsnooth function, is established. Based on the relation, the method of estimating Clarke generalized Jacobian via quasidifferential for a certain class of function, is presented.

• Journal of Biomedical Engineering Research
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• v.5 no.2
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• pp.121-126
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• 1984

A new approach to texture classification for quantitative ultrasound liver diagnosis using run difference matrix was developed. The run difference matrix comprised the gray level difference along with a distances. From this run difference matrix, we defined several vectors and parameters such as DOD, DGD, DAD vector, SHP, SMO, SMG, LDE, LDEL etc.Each parameter values calculated in fatty, cirrhotic, normal and chronic hepatitic liver images were plotted in a plane and we found that RDM method was more sensitive to small structural changes than the conventional run length method and showed improved classification ability between the diseases.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.24 no.67
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• pp.11-18
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• 2001

The efficiency and robustness of the scale estimator based on the Gini's mean difference are well known in Nam et al.(2000). In this paper we propose use of robust control limits based on the Gini's mean difference for the control of the process deviation. To compare the performances of the proposed control chart with the existing R-chart or S-chart, some Monte Carlo simulations are performed. The simulation results show that the use of the Gini's mean difference in construction of the control limits has good performance.