• Proceedings of the Korean Radioactive Waste Society Conference
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• 2018.11a
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• pp.525-526
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• 2018

• Communications of the Korean Mathematical Society
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• v.9 no.3
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• pp.579-591
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• 1994

We consider the nonlinear nonautonomous differential system $$(1) x' = f(t,x), x(t_0) = x_0,$$ where $f \in C(R^+ \times R^n, R^n)$ and $R^+ = [0, \infty}$. We assume that the Jacobian matrix $f_x = \partail f/\partial x$ exists and is continuous on $R^+ \times R^n$ and that $f(t,0) \equiv 0$. The symbol $$\mid$\cdot$\mid$$ denotes arbitary norm in $R^n$.

• Honam Mathematical Journal
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• v.38 no.4
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• pp.725-738
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• 2016

In this paper, the explicit determinants of the circulant and negacyclic matrix involving Tetranacci sequence $M_n$ and Companion-Tetranacci sequence $K_n$ are expressed by using only Tetranacci sequence $M_n$ and Companion-Tetranacci sequence $K_n$. Also euclidean norms and spectral norms of circulant and negacyclic matrices have been obtained.

• Journal of the Korean Society of Physical Medicine
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• v.13 no.2
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• pp.61-68
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• 2018

PURPOSE: This study aimed to examine the effects of self-stretching (SS) and joint mobilization (JM) on pain, craniovertebral angle (CVA), autonomic system function in chronic cervical pain patient with forward head posture (FHP). METHODS: A total of 30 male college students were selected as study subjects, and were divided into Group I (general physical therapy; GPT, n=10), Group II (GPT+SS, n=10), Group III (GPT+JM, n=10). All groups were evaluated three times a week for 4 weeks. Pain was measured by visual analogue scale (VAS), CVA was measured using digital goniometer and autonomic system function (heart rate; HR, skin conductivity; SC, LF norm, HF norm, LF/HF ratio) was measured by Biofeedback ProComp Infiniti. After 4 weeks, paired t-test was used to compare the changes within the group and one way ANOVA was used to compare those between the groups. RESULTS: In Group I, VAS was significantly decreased. In Group II and III was a significantly change in all items. In comparison between Group I and II was a difference in all items except HR. In comparison between Group I and III was a difference in all items. In comparison between Group II and III was a difference in VAS, LF norm and LF/HF ratio. CONCLUSION: This study showed that SS and JM can effectively reduce pain and normalize the autonomic system function.

• Nonlinear Functional Analysis and Applications
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• v.26 no.2
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• pp.331-345
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• 2021

Let p(z)be a polynomial of degree n. Then Bernstein's inequality [12,18] is $${\max\limits_{{\mid}z{\mid}=1}}\;{\mid}p^{\prime}(z){\mid}\;{\leq}\;n\;{\max_{{\mid}z{\mid}=1}{\mid}(z){\mid}}$$. For q > 0, we denote $${\parallel}p{\parallel}_q=\{{\frac{1}{2{\pi}}}{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{0}}^{2{\pi}}}\;{\mid}p(e^{i{\theta}}){\mid}^qd{\theta}\}^{\frac{1}{q}}$$, and a well-known fact from analysis [17] gives $${{\lim_{q{\rightarrow}{{\infty}}}}\{{\frac{1}{2{\pi}}}{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{0}}^{2{\pi}}}\;{\mid}p(e^{i{\theta}}){\mid}^qd{\theta}\}^{\frac{1}{q}}={\max\limits_{{\mid}z{\mid}=1}}\;{\mid}p(z){\mid}$$. Above Bernstein's inequality was extended by Zygmund [19] into L^q norm by proving ║p'║_q ≤ n║p║_q, q ≥ 1. Let p(z) = a₀ + ∑ⁿ_𝜈=𝜇 a_𝜈z^𝜈, 1 ≤ 𝜇 ≤ n, be a polynomial of degree n having no zero in |z| < k, k ≥ 1. Then for 0 < r ≤ R ≤ k, Aziz and Zargar [4] proved $${\max\limits_{{\mid}z{\mid}=R}}\;{\mid}p^{\prime}(z){\mid}\;{\leq}\;{\frac{nR^{{\mu}-1}(R^{\mu}+k^{\mu})^{{\frac{n}{\mu}}-1}}{(r^{\mu}+k^{\mu})^{\frac{n}{\mu}}}\;{\max\limits_{{\mid}z{\mid}=r}}\;{\mid}p(z){\mid}}$$. In this paper, we obtain the L^q version of the above inequality for q > 0. Further, we extend a result of Aziz and Shah [3] into L^q analogue for q > 0. Our results not only extend some known polynomial inequalities, but also reduce to some interesting results as particular cases.

• Geophysics and Geophysical Exploration
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• v.9 no.1
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• pp.44-49
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• 2006

In this study, the resolution capabilities of electrical resistivity tomography (ERT) in the monitoring of $CO_2$ injection are investigated. The pole-pole and bipole-bipole electrode configuration types are used between two uncased boreholes straddling the $CO_2$ plume. Forward responses for an initial pre-injection model and three models for subsequent stages of $CO_2$ injection are calculated for the two different electrode configuration types, noise is added and the theoretical data are inverted with both L1- and L2-norm optimisation. The results show that $CO_2$ volumes over a certain threshold can be detected with confidence. The L1-norm proved superior to the L2-norm in most instances. Normalisation of the inverted models with the pre-injection inverse model gives good images of the regions of changing resistivity, and an integrated measure of the total change in resistivity proves to be a valid measure of the total injected volume.

• Asian-Australasian Journal of Animal Sciences
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• v.33 no.8
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• pp.1301-1309
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• 2020

Objective: To evaluate the use of nurse sows and post-weaning nutrition strategies for low wean weight (WW) pigs on lifetime growth and efficiency. Methods: Animals (n = 270) were assigned to one of five treatments at 28 d. Low WW pigs (<6 kg) were either weaned and offered a special dietary regime recommended for low WW pigs (WEAN) or placed on a nurse sow (NURSE) and weaned at 49 d. Normal WW pigs (9 kg) (NORM) were also weaned at 28 d. After weaning, NORM and NURSE pigs were offered either a 'high' (4 kg/pig of starter 1 diet followed by 8 kg/pig of starter 2 diet) or 'low' (8 kg/pig of starter 2 diet) starter diet allowance in a 2×2 factorial arrangement. A typical grower diet was then offered, followed by a typical finisher diet until 147 d of age. Results: NORM pigs where heavier throughout their life compared to NURSE pigs (91.4 kg vs 76.2 kg at 147 d; p<0.001). WEAN pigs were heavier at 70 d compared to NURSE pigs (23.9 kg vs 21.0 kg; p<0.001), but there was no significant difference at 147 d between NURSE and WEAN treatments. NURSE pigs had reduced feed intake throughout the finishing period (1.6 kg/d; p<0.001) compared to WEAN (2.0 kg/d) and NORM (1.9 kg/d) pigs. Feed conversion ratio (FCR) of NURSE (2.20) was lower than NORM and WEAN during the finishing period (2.40 and 2.79, respectively). Conclusion: Extended (up to 49 d) nursing for low WW pigs resulted in improved FCR during the finishing period, but no overall improvement in growth rate compared to low WW pigs weaned at 28 d and offered a specialised starter regime. Normal WW pigs where significantly heavier than low WW pigs throughout the study.

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.235-249
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• 1995

Let K be a bounded linear operator from Hilbert space $H_1$ into Hilbert space $H_2$. When numerically solving the first kind equation Kf = g, one usually picks n orthonormal functions $\phi_1, \phi_2,...,\phi_n$ in $H_1$ which depend on the numerical method and on the problem, see Varah [12] for more details. Then one findes the unique minimum norm element $f_M \in M$ that satisfies $\Vert K f_M - g \Vert = inf {\Vert K f - g \Vert : f \in M}$, where M is the linear span of $\phi_1, \phi_2,...,\phi_n$. Such a solution $f_M \in M$ is called the M-solution of K f = g. Some methods for finding the M-solution of K f = g were proposed by Banks [2] and Marti [9,10]. See [5,6,8] for convergence results comparing the M-solution of K f = g with $f_0$, the least squares solution of minimum norm (LSSMN) of K f = g.

• Journal of Korean Academy of Nursing
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• v.48 no.3
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• pp.298-310
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• 2018

Purpose: The purpose of this study was to examine the effects of the laughter therapy program on perceived stress and psycho-neuro-endocrine-immune responses in obese women. Methods: A nonequivalent control group with a pretest-posttest design was used. The participants (n=60), whose age ranged from 30 to 50 years (pre-menopausal and body mass index of over $25kg/m^2$), were assigned to the experimental group (n=24) or control group (n=26). The experimental group was provided with the laughter therapy program (12 sessions) for 6 weeks. Results: There were significant differences in perceived stress, psychological stress response, fasting blood sugar, interleukin-6, and tumor necrosis factor alpha between the two groups after the program. However, there were no significant differences in normalized low frequency (norm LF), normalized high frequency (norm HF), LF/HF ratio, and cortisol between the two groups after the program. Conclusion: It was found that the laughter therapy program had positive effects on some variables in terms of perceived stress and psycho-neuro-endocrine-immuno responses. It is suggested that the laughter therapy in this study can provide the direction for developing a program for obese women.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.20 no.2
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• pp.107-121
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• 2016

We analyze the complexity of the LLL algorithm, invented by Lenstra, Lenstra, and $Lov{\acute{a}}sz$ as a a well-known lattice reduction (LR) algorithm which is previously known as having the complexity of $O(N^4{\log}B)$ multiplications (or, $O(N^5({\log}B)^2)$ bit operations) for a lattice basis matrix $H({\in}{\mathbb{R}}^{M{\times}N})$ where B is the maximum value among the squared norm of columns of H. This implies that the complexity of the lattice reduction algorithm depends only on the matrix size and the lattice basis norm. However, the matrix structures (i.e., the correlation among the columns) of a given lattice matrix, which is usually measured by its condition number or determinant, can affect the computational complexity of the LR algorithm. In this paper, to see how the matrix structures can affect the LLL algorithm's complexity, we derive a more tight upper bound on the complexity of LLL algorithm in terms of the condition number and determinant of a given lattice matrix. We also analyze the complexities of the LLL updating/downdating schemes using the proposed upper bound.