• Title/Summary/Keyword: $F_2$

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The evaluation of properties for radiation therapy techniques with flattening filter-free beam and usefulness of time and economy to a patient with the radiation therapy (Flattening filter-free beam을 이용한 방사선 치료 기법의 특성 및 환자의 시간적.경제적 유용성 평가)

  • Goo, Jang Hyeon;Won, Hui Su;Hong, Joo Wan;Chang, Nam Jun;Park, Jin Hong
    • The Journal of Korean Society for Radiation Therapy
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    • v.26 no.2
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    • pp.363-368
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    • 2014
  • Purpose : The aim of this study was to appraise properties for radiation therapy techniques and effectiveness of time and economy to a patient in the case of applying flattening filter-free (3F) and flattening filter (2F) beam to the radiation therapy. Materials and Methods : Alderson rando phantom was scanned for computed tomography image. Treatment plans for intensity modulated radiation therapy (IMRT), volumetric modulated arc therapy (VMAT) and stereotactic body radiation therapy (SBRT) with 3F and 2F beam were designed for prostate cancer. To evaluate the differences between the 3F and 2F beam, total monitor units (MUs), beam on time (BOT) and gantry rotation time (GRT) were used and measured with $TrueBeam^{TM}$ STx and Surveillance And Measurement (SAM) 940 detector was used for photoneutron emitted by using 3F and 2F. To assess temporal and economical aspect for a patient, total treatment periods and medical fees were estimated. Results : In using 3F beam, total MUs in IMRT plan increased the highest up to 34.0% and in the test of BOT, GRT and photoneutron, the values in SBRT plan decreased the lowest 39.8, 38.6 and 48.1%, respectively. In the temporal and economical aspect, there were no differences between 3F and 2F beam in all of plans and the results showed that 10 days and 169,560 won was lowest in SBRT plan. Conclusion : According as the results, total MUs increased by using 3F beam than 2F beam but BOT, GRT and photoneutron decreased. From above the results, using 3F beam can decrease intra-fraction setup error and risk of radiation-induced secondary malignancy. But, using 3F beam did not make the benefits of temporal and economical aspect for a patient with the radiation therapy.

A VARIANT OF THE QUADRATIC FUNCTIONAL EQUATION ON GROUPS AND AN APPLICATION

  • Elfen, Heather Hunt;Riedel, Thomas;Sahoo, Prasanna K.
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.2165-2182
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    • 2017
  • Let G be a group and $\mathbb{C}$ the field of complex numbers. Suppose ${\sigma}:G{\rightarrow}G$ is an endomorphism satisfying ${{\sigma}}({{\sigma}}(x))=x$ for all x in G. In this paper, we first determine the central solution, f : G or $G{\times}G{\rightarrow}\mathbb{C}$, of the functional equation $f(xy)+f({\sigma}(y)x)=2f(x)+2f(y)$ for all $x,y{\in}G$, which is a variant of the quadratic functional equation. Using the central solution of this functional equation, we determine the general solution of the functional equation f(pr, qs) + f(sp, rq) = 2f(p, q) + 2f(r, s) for all $p,q,r,s{\in}G$, which is a variant of the equation f(pr, qs) + f(ps, qr) = 2f(p, q) + 2f(r, s) studied by Chung, Kannappan, Ng and Sahoo in [3] (see also [16]). Finally, we determine the solutions of this equation on the free groups generated by one element, the cyclic groups of order m, the symmetric groups of order m, and the dihedral groups of order 2m for $m{\geq}2$.

Genetic Studies in Some Agronomic Characters in Rapeseed (Brassica napus L.) 1. Genetic analysis for maturity, plant height and grain weight per plant. (유채의 실용형질에 대한 유전연구 -제 1 보 유채의 초장, 성숙기 및 종실중의 유전분석-)

  • Lee, J.I.;Kwon, B.S.;Chae, Y.A.
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.29 no.1
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    • pp.84-88
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    • 1984
  • To obtain basic information on the breeding of early maturing, short plant height rapeseed varieties, the following 7 varieties, Isuzu, Miyuki, Norin 25, Rang, Yongdang, Cresus and Tower were used in diallel crosses in 1979. Maturing date, plant height and grain weight per plant for the parents, $F_1$'s and $F_2$'s of the 7 x 7 partial diallel crosses were measured in 1981 for analysis of their genetic behavior. The results obtained are summarized as follows: 1. The days to maturing of $F_1$'s showed complete dominance for early maturing, and both additive and dominance genetic variances were significant. Number of effective factors in $F_1$'s was 3, but in $F_2$'s was 1. The degree of dominance in $F_1$'s was partial, while in $F_2$'s was complete. Both broad and narrow sense herita-bilities in $F_1$'s was high, while in $F_2$'s was low. 2. Yield per plant in $F_2$'s was controlled by additive component of genetic variance only, but $F_1$'s was different. The degree of dominance in $F_1$'s was complete, while in $F_2$'s was partial. The direction of dominance showed almost complete dominance over high yield and three effective factors was estimated. Yield per plant was controlled by recessive genes. 3. The plant height was controlled by both dominance and additive variance. Dominance was directed toward tall plant height. Number of effective factors was 2, and broad and narrow sense heritability were high in the plant height.

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A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITY

  • HENGKRAWIT, CHARINTHIP;THANYACHAROEN, ANURK
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1759-1776
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    • 2015
  • We determine the general solution of the generalized additive-quartic functional equation f(x + 3y) + f(x - 3y) + f(x + 2y) + f(x - 2y) + 22f(x) - 13 [f(x + y) + f(x - y)] + 24f(y) - 12f(2y) = 0 without assuming any regularity conditions on the unknown function f : ${\mathbb{R}}{\rightarrow}{\mathbb{R}}$ and its stability is investigated.

STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES

  • Yun, Sungsik;Shin, Dong Yun
    • The Pure and Applied Mathematics
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    • v.24 no.1
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    • pp.21-31
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    • 2017
  • In this paper, we introduce and solve the following additive (${\rho}_1$, ${\rho}_2$)-functional inequality $${\Large{\parallel}}2f(\frac{x+y}{2})-f(x)-f(y){\Large{\parallel}}{\leq}{\parallel}{\rho}_1(f(x+y)+f(x-y)-2f(x)){\parallel}+{\parallel}{\rho}_2(f(x+y)-f(x)-f(y)){\parallel}$$ where ${\rho}_1$ and ${\rho}_2$ are fixed nonzero complex numbers with $\sqrt{2}{\mid}{\rho}_1{\mid}+{\mid}{\rho}_2{\mid}<1$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (${\rho}_1$, ${\rho}_2$)-functional inequality (1) in complex Banach spaces.

Stability of Water-in-Oil Emulsion by Gelation;Application of Sun-Block Cream containing Titanium Dioxide($TiO_{2}$) (겔화에 의한 Water-in-Oil에멀젼의 안정성;이산화티타늄($TiO_{2}$)이 함유된 Sun-block Cream의 응용)

  • Kim, In-Young
    • Journal of the Korean Applied Science and Technology
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    • v.17 no.2
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    • pp.67-75
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    • 2000
  • Cosmetic industries have recently developed sun-block products, which are composed of W/O or O/W emulsion system. It was very difficult for waterproofing product to show the stability in W/O emulsion with $TiO_{2}$. To enhance the stability of W/O emulsion, it needs to be combined with the water and oil soluble components as the gelling agents. The emulsifiers used in W/O were 3.0% of cetyl dimethicone copolyol, 2.0% of sorbitan sesquioleate as the basic emulsifiers, and 0.6% of quaternium-18 bentonite and 1.5% of dextrin palmitate as stabilizer were used. The content of titanium dioxide was optimized up to 8.0%. Titanium dioxide was used as the UV scattering powder coated with $Al_{2}O_{3}$(UV-sperse T40/TN). The sunscreen cream prepared with W/O emulsion system by using QB and DP showed higher stability than that of W/O emulsion system by using each QB and DP. W/O emulsion from Formula 3 for passing one year was very durable more than F1 and F2. Within W/O emulsion by observing F1, F2 and F3 for one year, F3 was more excellent than F2 and F3 when they were observed at RT, $4^{\circ}C$, $40^{\circ}C$, because F3 used the mixed QB and DP in W/O emulsion. The zeta potential for F1, F2, and F3 after one year were 21, 30 and 43, respectively. From these result F3 was found best stable emulsion. The in-vitro SPF value for F3 was 35 for the initial product at room temperature and also, the in-vitro SPF values of F3 was 32 for after one year. Finally, the mean in-vivo SPF value of 10 volunteers for F3 was 27.3 by the Korea cosmetic association made the rules of SPF.

Seam-Strength as a Function of Angle of Bias on the Patterns (의복패턴상에서 직물의 각도 변화에 따른 봉합강도)

  • 이명희;최석철
    • Journal of the Korean Society of Clothing and Textiles
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    • v.21 no.4
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    • pp.710-717
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    • 1997
  • An investigation made of fabric strength & elongation and the lock stitch seam strength & elongation by stitch density (N1.5; 26 stitches/3 cm, N2.0; 19 stitches/3 cm, N2.5; 14 stitches/3cm) depending on methods of. sample prepariation (angle variations of unseamed sample and overlapping way of seamed sample) It found maximum stitch density that results of the seam strength test was highist in each angle of bias. The results obstained were as follows: 1. As the results of fabric strength and elongation tests as a function of angle of bias, breaking strength were that warp and weft angles (0$^{\circ}$, 90$^{\circ}$) were much higher than bias angles (20$^{\circ}$, 30$^{\circ}$, 45$^{\circ}$, 60$^{\circ}$) . And otherwise breaking elongation were that 45$^{\circ}$ angle of bias were highest and were that the warp & weft way were lower. 2. As the results of the seam strength tests by the stitch density under samples of same angles, the maximum stitch density were those; under 0$^{\circ}$/0$^{\circ}$, 60$^{\circ}$/60$^{\circ}$:F1, F2-N2.0, F3-N1.5, under 20$^{\circ}$/20$^{\circ}$, 30$^{\circ}$/30$^{\circ}$, 45$^{\circ}$/45$^{\circ}$: F1-N2.5, F2-N2.0, F3-N1.5, under 90$^{\circ}$/90$^{\circ}$: F1, F2, F3-N1.5. 3. As the results of the seam strength tests by the stitch density under samples of symmetry angles, the maximum stitch density were those; under 20$^{\circ}$/-20$^{\circ}$, 30$^{\circ}$/-30$^{\circ}$, 60$^{\circ}$/-60$^{\circ}$: F1, F3-N1.5, F2-N2.0, under 45$^{\circ}$/-45$^{\circ}$: F1, F2-N2.0, F3-N1.5.

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Study of Surface Reaction and Gas Phase Chemistries in High Density C4F8/O2/Ar and C4F8/O2/Ar/CH2F2 Plasma for Contact Hole Etching

  • Kim, Gwan-Ha
    • Transactions on Electrical and Electronic Materials
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    • v.16 no.2
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    • pp.90-94
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    • 2015
  • In this study, the characterizations of oxide contact hole etching are investigated with C4F8/O2/Ar and CH2F2/C4F8/O2/ Ar plasma. As the percent composition of C4F8 in a C4F8/O2/Ar mixture increases, the amount of polymer deposited on the etched surface also increases because the CxFy polymer layer retards the reaction of oxygen atoms with PR. Adding CH2F2 into the C4F8/O2/Ar plasma increases the etch rate of the oxide and the selectivity of oxide to PR. The profile of contact holes was close to 90°, and no visible residue was seen in the SEM image at a C4F8/(C4F8+O2) ratio of 58%. The changes of chemical composition in the chamber were analyzed using optical emission spectroscopy, and the chemical reaction on the etched surface was investigated using X-ray photoelectron spectroscopy.

An Acoustic Analysis on the Korean 8 Monophthongs - With Respect to the Acoustic Variables on the F1/F2 Vowel Space - (한국어 단모음 8개에 대한 음향분석 - F1/F2 모음공간에서의 음향변수를 중심으로 -)

  • 성철재
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.6
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    • pp.454-461
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    • 2004
  • This paper describes the acoustic characteristics of 8 Korean monophthongs. Two acoustic variables were newly manipulated the distance between Fl and F2 (Δ[F2-Fl]). which might be of help for the judgement of the vowel backness. and Euclidian distance between two vowels. [에] & [애] were observed to be merged in both male vowel space and the female's. respectively. The merger of [우] & [오], on the other hand, was only seen in the female space. In case of Fl, which concerns the vowel height. the scope of the females' was 1.36 times longer than that of the males' Regarding F2, which is related to the vowel backness. the females used a space 1.29 times longer than the males. The observation of Euclidian distance between the basic 3 vowels (이. 아. 우) showed that the females have longer distance than the males: [이-아] 1.25 times, [아-우] 1.45 times, and [이-우] 1.35 times. respectively.

Investigation on Dynamic Behavior of Formant Information (포만트 정보의 동적 변화특성 조사에 관한 연구)

  • Jo, Cheolwoo
    • Phonetics and Speech Sciences
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    • v.7 no.2
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    • pp.157-162
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    • 2015
  • This study reports on the effective way of displaying dynamic formant information on F1-F2 space. Conventional ways of F1-F2 space (different name of vowel triangle or vowel rectangle) have been used for investigating vowel characteristics of a speaker or a language based on statistics of the F1 and F2 values, which were computed by spectral envelope search method. Those methods were dealing mainly with the static information of the formants, not the changes of the formant values (i.e. dynamic information). So a better way of investigating dynamic informations from the formant values of speech signal is suggested so that more convenient and detailed investigation of the dynamic changes can be achieved on F1-F2 space. Suggested method used visualization of static and dynamic information in overlapped way to be able to observe the change of the formant information easily. Finally some examples of the implemented display on some cases of the continuous vowels are shown to prove the usefulness of suggested method.