• The Journal of the Acoustical Society of Korea
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• v.19 no.5
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• pp.60-64
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• 2000

This paper studies the relation between the Fundamental Frequency (F0) and the formants of simple vowels in the Korean language sung by sopranos. It is hewn that, in soprano singing, the F0 of a vowel affects its formants. For this reason the formants of simple vowels sung by sopranos must be considered in all over the soprano singing range. We recorded the five simple vowel sounds /a/, /e/, /i/, /o/, and /u/ sung by five professional sopranos from A3 (220.0Hz) to A5 (880.0Hz) in the major scale and compared the formants of the sung vowels with those of spoken vowels. We observed that F1 and F2 of sung vowels were stable in low F0 (lower than B4) but in high F0 (higher than B4), F1 and F2 lost their stabilities. In the case of /a/, /o/, and /u/, the slope of the F1-F2 graph was about 2.6, and those of the F0-F2 and F0-Fl graphs were 2.2-2.5 and 0.7-1.0, respectively. And as the F0 increases, the F1 and F2 of sung vowels /a/, /e/, /i/, /o/, and /u/ were almost the same. At A5, the Fl and F2 of five sung vowels had the same values. This results suggest that the relation between the F0 and the formants be used to synthesize soprano's singing vowels.

• Korean Journal of Agricultural and Forest Meteorology
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• v.17 no.3
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• pp.227-235
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• 2015

Using eddy covariance method, net ecosystem exchange (NEE) of $CO_2$ ($F_{CO_2}$), $H_2O$ (LE), and sensible heat (H) can be approximated as the sum of eddy flux ($F_c$) and storage flux term ($F_s$). Depending on strength and distribution of sink/source of scalars and magnitude of vertical turbulence mixing, the rates of changes in scalars are different with height. In order to calculate $F_s$ accurately, the differences should be considered using scalar profile measurement. However, most of flux sites for agricultural lands in Asia do not operate profile system and estimate $F_s$ using single-level scalars from eddy covariance system under the assumption that the rates of changes in scalars are constant regardless of the height. In this study, we measured $F_c$ and $F_s$ of $CO_2$, $H_2O$, and air temperature ($T_a$) using eddy covariance and profile system (i.e., the multi-level measurement system in scalars from eddy covariance measurement height to the land surface) at the Chengmicheon farmland site in Korea (CFK) in order to quantify the differences between $F_s$ calculated by single-level measurements ($F_s_{-single}$ i.e., $F_s$ from scalars measured by profile system only at eddy covariance system measurement height) and $F_s$ calculated by profile measurements and verify the errors of NEE caused by $F_s_{-single}$. The rate of change in $CO_2$, $H_2O$, and Ta were varied with height depending on the magnitudes and distribution of sink and source and the stability in the atmospheric boundary layer. Thus, $F_s_{-single}$ underestimated or overestimated $F_s$ (especially 21% underestimation in $F_s$ of $CO_2$ around sunrise and sunset (0430-0800 h and 1630-2000 h)). For $F_{CO_2}$, the errors in $F_s_{-single}$ generated 3% and 2% underestimation of $F_{CO_2}$ during nighttime (2030-0400 h) and around sunrise and sunset, respectively. In the process of nighttime correction and partitioning of $F_{CO_2}$, these differences would cause an underestimation in carbon balance at the rice paddy. In contrast, there were little differences at the errors in LE and H caused by the error in $F_s_{-single}$, irrespective of time.

• The Korean Journal of Zoology
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• v.26 no.3
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• pp.211-217
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• 1983

Genetic polymorphism of transferrin $(T_f)$ subtypes in Jeju population was studied by isoelectric focusing of human sera on polyacrylamide gels under high voltage, and haptolobin (Hp) polymorphism in Seoul and Jeju population was studied by polyacrylamide gel electrophoresis. Among 946 normal samples, three common types of transferrin, $T_{f}C_{1}, T_{f}C_{1}-C_{2} and T_{f}C_{2}$ were observed with some variants migrating slower than $T_{f}C$ subtypes, while among 139 patient (hepatitis) samples, only three common types were found. The gene frequencies were calculated as follows; in normal population, $T_{f}C^{1}$ was 0.7220; $T_{f}C^{2}, 0.2743; T_{f}D^{Jeju}, 0.0037$, and in patient population, $T_{f}C^{1} was 0.7194; T_{f}C^{2}, 0.2806$ respectively. Among 460 samples in Seoul and 502 in Jeju population, three types of haptoglobin, Hp 1-1, Hp 2-1 and Hp 2-2 were observed. The gene frequency of $Hp^1$ was 0.304, $Hp^2$, 0.696 in Seoul and in Jeju, $Hp^1$ was 0.269 and $Hp^2$, 0.731, respectively. The frequencies of the genes and the polymorphic phenotypes were discussed comparatively with the other populations.

• Korean Journal of Mathematics
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• v.19 no.2
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• pp.171-180
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• 2011

In this paper, we study the superstability problem bounded by two-variables of Th. M. Rassias type for the generalized sine functional equations $$g(x+y)f(x-y)=f(x)^2-f(y)^2 \\ f(x+y)g(x-y)=f(x)^2-f(y)^2 \\ g(x+y)g(x-y)=f(x)^2-f(y)^2$$, which does not use his iteration method.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.1
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• pp.9-18
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• 2020

In this paper, we investigate the stability of a quadratic-cubic-quartic functional equation $$f(x+ky)+f(x-ky)-k^2f(x+y)-k^2f(x-y)-2(1-k^2)f(x)-{\frac{k^2(k^2-1)}{6}}(f(2y)+2f(-y)-6f(y))=0$$ by applying the direct method in the sense of Gǎvruta.

• The Pure and Applied Mathematics
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• v.23 no.3
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• pp.319-328
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• 2016

In this paper, we solve the additive ρ-functional inequalities (0.1) ||f(2x-y)+f(y-x)-f(x)|| $\leq$ ||${\rho}(f(x+y)-f(x)-f(y))$||, where ρ is a fixed complex number with |ρ| < 1, and (0.2) ||f(x+y)-f(x)-f(y)|| $\leq$ ||${\rho}(f(2x-y)-f(y-x)-f(x))$||, where ρ is a fixed complex number with |ρ| < $\frac{1}{2}$. Using the direct method, we prove the Hyers-Ulam stability of the additive ρ-functional inequalities (0.1) and (0.2) in β-homogeneous F-spaces.

• Journal of the Korean Mathematical Society
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• v.59 no.2
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• pp.353-365
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• 2022

Let 𝓐 be the collection of analytic functions f defined in 𝔻 := {ξ ∈ ℂ : |ξ| < 1} such that f(0) = f'(0) - 1 = 0. Using the concept of subordination (≺), we define $$S^*_{\ell}\;:=\;\{f{\in}A:\;\frac{{\xi}f^{\prime}({\xi})}{f({\xi})}{\prec}{\Phi}_{\ell}(\xi)=1+{\sqrt{2}{\xi}}+{\frac{{\xi}^2}{2}},\;{\xi}{\in}{\mathbb{D}}\}$$, where the function 𝚽_ℓ(ξ) maps 𝔻 univalently onto the region Ω_ℓ bounded by the limacon curve (9u² + 9v² - 18u + 5)² - 16(9u² + 9v² - 6u + 1) = 0. For 0 < r < 1, let 𝔻_r := {ξ ∈ ℂ : |ξ| < r} and 𝒢 be some geometrically defined subfamily of 𝓐. In this paper, we find the largest number 𝜌 ∈ (0, 1) and some function f₀ ∈ 𝒢 such that for each f ∈ 𝒢 𝓛_f (𝔻_r) ⊂ Ω_ℓ for every 0 < r ≤ 𝜌, and $${\mathcal{L} _{f_0}}({\partial}{\mathbb{D}_{\rho})\;{\cap}\;{\partial}{\Omega}_{\ell}\;{\not=}\;{\emptyset}$$, where the function 𝓛_f : 𝔻 → ℂ is given by $${\mathcal{L}}_f({\xi})\;:=\;{\frac{{\xi}f^{\prime}(\xi)}{f(\xi)}},\;f{\in}{\mathcal{A}}$$. Moreover, certain graphical illustrations are provided in support of the results discussed in this paper.

• Korean Journal of Animal Reproduction
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• v.25 no.2
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• pp.155-162
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• 2001

These experiments were conducted to evaluate the effects of the administration of exogenous PG $F_{2{\alpha}}$ on hormone concentrations and follicular development in early postpartum(pp) Korean native goats. 1. Plasma PG $F_{2{\alpha}}$ concentrations in PG $F_{2{\alpha}}$ treated goals showed a gradual increase from a low on day 2 (GR-1 : 10 day-treatment group: 6.35$\pm$0.5 and GR-2; 4 day-treatment group: 0.22$\pm$0.2 pg/$m\ell$, respectively) to reach a peak of 21.18$\pm$1.6 or 4.21 $\pm$0.4 pg/$m\ell$ on day 4 after treatment of PG $F_{2{\alpha}}$. 2. Plasma PG $F_{2{\alpha}}$ concentrations in GR-1 goats averaged 9.08 $\pm$1.2 pg/$m\ell$ compared with 5.44$\pm$ 1.8 pg/$m\ell$ in GR-2 goats the day before treatment of PG $F_{2{\alpha}}$. Mean PG $F_{2{\alpha}}$ concentrations thereafter remained low during the treatment period but PG $F_{2{\alpha}}$ concentrations did not differ between the two group. 3. Plasma concentrations of estradiol-17 $\beta$ (E,) in PG $F_{2{\alpha}}$ - treated group were decreased gradually until 2 days after PG $F_{2{\alpha}}$ treatment but mean $E_2$ concentrations began to increase on 3 days and were Inaximal on the 4 days after treatment. 4. Plasma lulenizing hormone (LH) concentrations in PG $F_{2{\alpha}}$ - treated goats were slightly higher than in controls but mean LH concentrations did not differ between the two treatment groups. 5. Plasma prolactin (PRL) concentrations were suppressed in both GR-1(10 day-treatment group) and GR-2(4 day-treatment group) goats compared to saline controls but mean PRL concentrations remained lower in PG $F_{2{\alpha}}$ treated animals during post-treatment period. 6. The mean number of small and medium follicles present when PG $F_{2{\alpha}}$ was administrated was similar in all does but the increase in number of large follicles($\geq$4mm) tended to be higher in PG $F_{2{\alpha}}$ treated group than controls. These results suggest that concentrations of PG $F_{2{\alpha}}$ and estradiol-17$\beta$ were positively correlared with follicular diameter. We conclude that PG $F_{2{\alpha}}$ treatment stimulates follicular development similarly in both GR-1 and GR-2 group.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.57 no.2
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• pp.188-194
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• 2012

This study was carried out to evaluate the quality properties, fatty acid composition and amino acid composition of major Korean inbred lines and hybrids of maize for corn breeding. Protein content of $F_2$ seeds was 9.0%, which was slightly lower than those of inbred lines, 11.4%, and $F_1$ seeds, 10.9%. in hybrid maizes. Lipid content of $F_2$ seeds of hybrid maizes was 4.2%, slightly higher than those of inbred lines, 3.3%, and $F_1$ seeds, 3.6%. However, there was no significant difference in ash content. The amount of linoleic acid in inbred lines, $F_1$ and $F_2$ seeds of hybrid maizes was highest among all fatty acids and followed by oleic acid, palmitic acid, stearic acid and linolenic acid. The composition of saturated fatty acid of $F_2$ seeds was 17.6%, similar to $F_1$ seeds but it was lower than that of inbred lines. The composition of unsaturated fatty acid of $F_2$ seeds was 82.4%, similar to $F_1$ seeds but was higher than inbred lines. The content of leucine of $F_2$ seeds was lower than inbred lines and $F_1$ seeds. The content of valine, serine, threonine, cysteine, aspartic acid, lysine, arginine, histidine of $F_2$ seeds was higher than inbred lines and $F_1$ seeds. MMA (monoamino monocarboxylic acid) in inbred lines, $F_1$ and $F_2$ seeds of hybrid maizes was highest among all amino acids and followed by DMA (diamino monocarboxylic acid) and AAA (aromatic amino acid).

• Honam Mathematical Journal
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• v.41 no.4
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• pp.813-821
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• 2019

In this paper, we investigate Hyers-Ulam-Rassias stability of a functional equation f(x + ky) + f(x - ky) - k²f(x + y) - k²f(x - y) + 2(k² - 1)f(x) + (k² + k)f(y) + (k² - k)f(-y) - 2f(ky) = 0.