• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2001년도 추계학술대회논문집 II
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• pp.1317-1322
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• 2001

What changes in the eigen values and eigen functions are produced if the boundary surface S is no longer rigid but has a specific acoustic admittance which may vary from point to point on S. In this paper, changes in eigen values and eigen functions are derived by using Kirchhoff-Helmholtz integral equation. And acoustic potential energy, which is representative measure describing the physical quantity in cavity, is defined. Acoustic potential energy can be divided into primary one and secondary one. Primary one is the acoustic potential energy through unchanged eigen functions, and secondary one is through changed eigen functions. Using these two term, we can find the eigenvalue problem, which gives the control performance when the boundary condition is changed.

• 대한통합의학회지
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• 제9권3호
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• pp.125-134
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• 2021

Purpose : This study applies inspiratory muscle resistance exercise with aerobic exercise to smokers and nonsmokers and then determines whether subjects' breathing functions (FVC, FEV1) are increased and how much effect smoking has on the difference in the increase of breathing functions between the two groups. Methods : For this experiment, 26 male adults were selected and randomly allocated to the smoker group (n=13) and nonsmoker group (n=13). The smokers and nonsmokers performed the inspiratory muscle resistance exercise with aerobic exercise three times a week for four weeks. Regarding the breathing functions, the forced vital capacity (FVC) and forced expiratory volume in one second (FEV1) were measured three times: week 0, week 2, and week 4. The aerobic exercise was performed using a stationary bicycle with 8 difficulty levels. The inspiratory muscle resistance exercise was performed using Power Breathe with 10 resistance levels. Results : The study found that the FVC and FEV1 values of the smoker group decreased slightly after four weeks of inspiratory muscle resistance exercise with aerobic exercise. In other words, the difference was not statistically significant. In contrast, the FVC and FEV1 values of the nonsmoker group increased by a statistically significant amount. In addition, the intergroup comparison of the average increases in FVC and FEV1 values showed statistically significant differences. Conclusion : The results of this study show that when inspiratory muscle resistance exercise with aerobic exercise was performed, the increase in the breathing functions of nonsmokers was higher than that of smokers. This confirms that, within the parameters of the study, smoking had a negative effect on the increase of breathing functions. This suggests that quitting smoking must be considered as an essential factor when applying a breathing physiotherapy or a breathing function improvement program in clinical settings

• 대한수학회보
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• 제52권1호
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• pp.263-273
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• 2015

We derive modular equations of degree 2 to establish explicit relations for the parameterizations for the theta functions ${\varphi}$ and ${\psi}$. We then find specific values of the parameterizations to evaluate some new values of the modular j-invariant in terms of $J_n$.

• 대한수학회보
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• 제50권4호
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• pp.1315-1328
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• 2013

We first derive several modular equations of degree 5 and present their concise proofs based on algebraic computations. We then establish explicit relations and formulas for some parameterizations for the theta functions ${\varphi}$ and ${\psi}$ by using the derived modular equations. In addition, we find specific values of the parameterizations and evaluate some numerical values of the Rogers-Ramanujan continued fraction.

• 대한수학회보
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• 제50권4호
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• pp.1221-1233
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• 2013

We first derive some modular equations of degrees 3 and 9 and present their concise proofs based on algebraic computations. We then use these modular equations to establish explicit relations and formulas for the parameterizations for the theta functions ${\varphi}$ and ${\psi}$ In addition, we find specific values of the parameterizations to evaluate some numerical values of the cubic continued fraction.

• Kyungpook Mathematical Journal
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• 제48권2호
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• pp.317-321
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• 2008

Some criteria for determining the normality of the family F of meromorphic functions in the unit disc, which share values depending on f $\in$ F with their derivatives is obtained. The new results in this paper improve some earlier related results given by Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].

• International Journal of Computer Science & Network Security
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• 제24권1호
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• pp.85-94
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• 2024

In this paper, we present the very first time the generalized notion of (α, β, γ, δ) - convex (concave) function in mixed kind, which is the generalization of (α, β) - convex (concave) functions in 1^st and 2^nd kind, (s, r) - convex (concave) functions in mixed kind, s - convex (concave) functions in 1^st and 2^nd kind, p - convex (concave) functions, quasi convex(concave) functions and the class of convex (concave) functions. We would like to state the well-known Ostrowski inequality via SVN-Riemann Integrals for (α, β, γ, δ) - convex (concave) function in mixed kind. Moreover we establish some SVN-Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are (α, β, γ, δ)-convex (concave) functions in mixed kind by using different techniques including Hölder's inequality and power mean inequality. Also, various established results would be captured as special cases with respect to convexity of function.

• 한국정보통신학회:학술대회논문집
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• 한국정보통신학회 2015년도 추계학술대회
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• pp.1045-1046
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• 2015

When using the Support Vector Machine in the online signature verification, SVM kernel function should be chosen to use non-linear SVM and the constant parameters in the kernel functions should be adjusted to appropriate values to reduce the error rate of signature verification. Non-linear SVM which is built on a strong mathematical basis shows better performance of classification with the higher discrimination power. However, choosing the kernel function and adjusting constant parameter values depend on the heuristics of the problem domain. In the signature verification, this paper deals with the problems of selecting the correct kernel function and constant parameters' values, and shows the kernel function and coefficient parameter's values with the minimum error rate. As a result of this research, we expect the average error rate to be less than 1%.

• 대한수학회논문집
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• 제28권1호
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• pp.123-134
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• 2013

Operational techniques have drawn the attention of several researchers in the study of sequence of functions and polynomials. An attempt is made to introduce a new sequence of functions by using operational techniques. Some generating relations and finite summation formulae have been obtained. The corresponding MAPLE code for obtaining above sequence of functions for different values of parameters was also discussed.

• Kyungpook Mathematical Journal
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• 제48권1호
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• pp.155-163
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• 2008

This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin's orthogonal functions.