• Title/Summary/Keyword: B.M.

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ON THE GREATEST COMMON DIVISOR OF BINOMIAL COEFFICIENTS

  • Sunben Chiu;Pingzhi Yuan;Tao Zhou
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.863-872
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    • 2023
  • Let n ⩾ 2 be an integer, we denote the smallest integer b such that gcd {(nk) : b < k < n - b} > 1 as b(n). For any prime p, we denote the highest exponent α such that pα | n as vp(n). In this paper, we partially answer a question asked by Hong in 2016. For a composite number n and a prime number p with p | n, let n = ampm + r, 0 ⩽ r < pm, 0 < am < p. Then we have $$v_p\(\text{gcd}\{\(n\\k\)\;:\;b(n)1\}\)=\{\array{1,&&a_m=1\text{ and }r=b(n),\\0,&&\text{otherwise.}}$$

NEW EXTENSION FOR REVERSE OF THE OPERATOR CHOI-DAVIS-JENSEN INEQUALITY

  • Baharak Moosavi;Mohsen Shah Hosseini
    • Honam Mathematical Journal
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    • v.45 no.1
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    • pp.123-129
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    • 2023
  • In this paper, we introduce the reverse of the operator Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the Furuta inequality. More precisely, we prove that, if $A,\;B{\in}{\mathcal{B}}({\mathcal{H}})$ are self-adjoint operators with the spectra contained in the interval [m, M] with m < M and A ≤ B, then for any $r{\geq}{\frac{1}{t}}>1,\,t{\in}(0,\,1)$ $A^r{\leq}({\frac{M1_{\mathcal{H}}-A}{M-m}}m^{rt}+{\frac{A-m1_{\mathcal{H}}}{M-m}}M^{rt}){^{\frac{1}{t}}}{\leq}K(m,\;M,\;r)B^r,$ where K (m, M, r) is the generalized Kantorovich constant.

Determination of Li generated from 10B(n·α)7Li reaction in Boric acid solution (붕산수용액에서 10B(n·α)7Li 핵반응에 의해 생성된 Li 정량)

  • Choi, Ke-Chon;Jung, Yongju;Yoon, Jei-Won;Kim, Won-Ho
    • Analytical Science and Technology
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    • v.16 no.6
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    • pp.443-449
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    • 2003
  • Thermal neutron irradiation experiment of boric acid solution was carried out using HANARO in following three conditions: (A) $^{10}B$ concentration = $203.0{\mu}g/mL$, irradiation time = 1 hr; (B) $^{10}B$ concentration = $381.4{\mu}g/mL$, irradiation time = 1 hr; (C) $^{10}B$ concentration = $381.4{\mu}g/mL$, irradiation time = 0.5 hr. The amount of lithium produced from $^{10}B(n{\cdot}{\alpha})^7Li$ reaction which was generated on neutron irradiation, was measured by flameless atomic absorption spectroscopy. The concentration of $^7Li$ measured in the three experiments was $0.18{\mu}g/mL$ (78.3% of theoretical value, $0.23{\mu}g/mL$) in (A), $0.31{\mu}g/mL$ (70.5% of theoretical value, $0.44{\mu}g/mL$) in (B) and $0.16{\mu}g/mL$ (71.6% of theoretical value, $0.22{\mu}g/mL$) in (C). The pH value of irradiated boric acid was shifted to considerably low. It is estimated that boric acid would be transformed into the polyborate fonn, by radiolysis products of water, which has high dissociation constant.

A SURFACE PHOTOMETRY OF NEARBY GALAXIES: M106, M31 AND M33

  • Ann, H.B.;Yu, K.L.
    • Journal of The Korean Astronomical Society
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    • v.14 no.1
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    • pp.1-11
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    • 1981
  • Photoelectric drift scans of nearby galaxies, M106, M31 and M33 have been made at diurnal rate with the 61cm Cassegrain Reflector at Sobacksan Observing Station. Luminosity profiles of M106 and M31 show the asymmetries between east and west sides of the galaxies and the near side of each galaxy exhibits a larger B-V color than the far side. B-V color distribution in the central part of MI06 shows somewhat unusual feature of a blue center with red surrounding regions, and this is an opposite trend to the ordinary color distribution of most of external galaxies. B-V color of M31 is nearly constant in the central part of the galaxy while U-B color decreases as the distance from the center increases.

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A Response of the Shoal of Chub Mackerel ( Scomber Japonics , HOVTTYUN ) to Underwater Sound (수중음에 대한 고등어 어군의 반응)

  • 서두옥
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.25 no.1
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    • pp.12-17
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    • 1989
  • A field experiment was carried out of confirm the effect of underwater sound on the luring of fish school of chub mackerel in the coast of Idousyo Island. Underwater sound that was made use of luring of fish school was pure sound and interval pure sound which the frequencies of the sound were 150Hz and 200Hz, respectively. The results of the observation of hooking and recording paper of fish finder indicate that the effect of emitting sound at 20m in the depth of water was remarkable for the luring of fish school of chub mackerel. The vertical pure sound pressure level at 150Hz and 200Hz of the water layer that was lured the fish school of chub mackerel were 140.1dB and 146.dB at 30m, 121.0dB and 126.6dB at 70m and 141.9dB and 120.5dB at 120m in the depth of water, respectively.

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CTIO 4m SDSS $u$와 CTIO 1m B filter의 투과함수 특성 및 CTIO 1m Y4KCam의 crosstalk

  • Heo, Hyeon-O;Im, Beom-Du;Seong, Hwan-Gyeong;Bessel, Michael S.
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.155.2-155.2
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    • 2012
  • CTIO 4m 및 CTIO 1m 망원경으로 Westerlund 2의 UBVI 관측을 수행하여, CTIO 4m SDSS $u$ filter의 적색광누출 현상을 발견하였고 그 영향을 분석하였다. 적색광누출 현상은 filter의 투과함수가 설계와는 달리 장파장 영역에서 투과 존재하는 현상으로, CTIO 4m SDSS $u$ filter의 경우 B-V>1.4, V-I>2.0에서 그 영향이 나타나기 시작한다. SDSS $u$ filter의 적색광누출 현상은 별의 고유색지수와 상관없이 관측된 색지수가 클수록 영향이 크며, $B-V{\leq}1.8$, $V-I{\leq}2.8$의 범위에서는 보정이 가능하다. CTIO 1m B filter에서는 성간소광을 받지 않은 별과 성간소광을 많이 받은 별의 표준계변환 결과, $B_{CTIO1m}=B_{Standard}-0.055{\times}E(V-V)$에 해당하는 차이를 보였다. 이러한 차이는 CTIO 1m B filter의 투과함수의 단파장 쪽 날개부분이 표준 Johnson B filter에 비하여 단파장 쪽으로 많이 치우쳐있기 때문으로 보인다. 특히 Ballmer jump에 해당하는 파장인 370 nm에서 filter의 최대투과율에 비하여 32.2%에 달하는 투과율을 보이는데, 이는 Bessell B filter의 3.1%에 비하여 매우 큰 값이다. CTIO 1m 망원경의 Y4KCam CCD에서는 포화된 화소에 의한 crosstalk 뿐 아니라 포화되지 않은 화소에 의한 crosstalk 현상도 보였다. 짧은 노출을 준 영상에서는 5000 ADU 이상에서는 육안에 의한 crosstalk 확인이 가능하며, 포화되지 않은 밝은 별에 의한 crosstalk을 확인하지 않고 측광할 경우 백색왜성으로 오인할 가능성이 있으므로 측광 과정에서 좌표를 통하여 확인할 필요가 있다.

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Anti-photoaging and anti-oxidative activities of natural killer cell conditioned medium following UV-B irradiation of human dermal fibroblasts and a reconstructed skin model

  • Sung‑Eun Lee;Tae‑Rin Kwon;Jong Hwan Kim;Byung‑Chul Lee;Chang Taek Oh;Minju Im;Kyeong Hwang;Sang Hoon Paik;Seungryel Han;Jeom‑Yong Kim;Beom Joon Kim
    • International Journal of Molecular Medicine
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    • v.44 no.5
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    • pp.1641-1652
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    • 2019
  • Conditioned media from various sources comprise numerous growth factors and cytokines and are known to promote the regeneration of damaged tissues. Among these, natural killer cell conditioned medium (NK-CdM) has been shown to stimulate collagen synthesis and the migration of fibroblasts during the wound healing process. With a long-term aim of developing a treatment for skin photoaging, the ability of NK-CdM to prevent ultraviolet-B (UV-B) damage was assessed in neonatal human dermal fibroblasts (NHDFs) and an in vitro reconstructed skin model. The factors present in NK-CdM were profiled using an antibody array analysis. Protein and mRNA levels in UV-B exposed NHDFs treated with NK-CdM were measured by western blotting and quantitative reverse transcription-PCR, respectively. The total antioxidant capacity of NK-CdM was determined to assess its ability to suppress reactive oxygen species. The anti-photoaging effect of NK-CdM was also assessed in a 3D reconstituted human full skin model. NK-CdM induced proliferation of UV-B-treated NHDFs, increased procollagen expression, and decreased matrix metalloproteinase (MMP)-1 expression. NK-CdM also exhibited a potent antioxidant activity as measured by the total antioxidant capacity. NK-CdM inhibited UV-B-induced collagen degradation by inactivating MAPK signaling. NK-CdM also elicited potential anti-wrinkle effects by inhibiting the UV-B-induced increase in MMP-1 expression levels in a 3D reconstituted human full skin model. Taken together, the suppression of both UV-B-induced MMP-1 expression and JNK activation by NK-CdM suggests NK-CdM as a possible candidate anti-skin aging agent.

쌍끌이 중층트롤어법의 연구 ( 1 ) - 모형어구의 망구형상에 관하여 - ( A Study on the Pair Midwater Trawling ( 1 ) - Mouth Performance of the Model Net - )

  • 이병기
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.1
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    • pp.29-44
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    • 1995
  • A model experiment on the pair midwater trawl net applicable to 800 PS class Korean pair bottom trawlers was carried out in the special-prepared experimental thank. the tank was prepared as a reverse trapezoid shape in its vertical section by digging out flat soil. The dimension of the tank showed the 9.6 W$\times$43.0 L(m) of the upper fringe and the 4.8 W$\times$38.0 L(m) of the bottom with 3.0m in depth. The depth of water was maintained 2.7m during experiment. The model net was prepared based on the Tauti's similarity law of fishing gear in 1/30 scale considering the dimension of the experimental tank. Mouth performance of the model net during towing were determined by the photographs taken in front of the net mouth with the combinations of towing velocity, warp length and distance between paired boats. The results obtained can be summarized as follows: 1. Vertical opening of the model nets A and B was varied in the range of 0.18~0.88 m and 0.21~0.78 m (which can be converted into 5.4~26.4m and 6.3~23.4 m in the full-scale net) respectively, and was varied predominantly by towing speed. Vertical opening (H which is appendixed m for the model net. f for the full-scale net. A and B for the types of the model net) can be expressed as the function of towing velocity$V_t$as in the model net $V_t$ : m/ sec)$H_{mA}$=1.67$e^{-1.65V_t}$ $H_{mB}$=1.15$e^{-1.13V_t}$, in the full-scale net ($V_t$ : k't) $H_{fA}$=50.27$e^-0.37V_t$ $H_{fB}$=34.46$e^{-0.26Vt}$. 2. Horizontal opening of the model nets An and b was varied in the range of 1.03~1.54m and 1.04~1.55 m (which can be converted into 30.9~46.2 m and 31.2~46.5m in the full-scale net) respectively, and was varied predominantly by distance between paired boats. Horizontal opening (W, appendixes are as same as the former) an be expressed as the function of distance between paired boats $D_b$as in the model net $W_{mA}$=0.69+0.09$D_b$ $W{mB}$=0.73+0.09$D_b$, in the full-scale net $W_{fA}$=20.81+0.09$D_b$ $W_{fB}$=22.11+0.09$D_b$ 3. Net opening area of the model net A and B was varied in the range of 0.28~1.04 $m^2$ and 0.33~0.94$m^2$(which can be converted into 252~936$m^2$ and 297~846$m^2$ in the full-scale net) respectively, and was varied predominantly by towing velocity. Net opening area ($S$, appendixes are as same as the former) van be expressed as the function of towing velocity$V_t$ as in the model net $v_t$ : m/sec) $S_{Ma}$=2.01$e^{-1.54V_T}$ $S_{mA}$=1.40$e^{-1.65V_t}$, in the full-scale net ($V_t$ : k't) $S_{fA}$=1.807$e^-0.35V_t$ $S_{fA}$=1.265$e^{-0.24V_t}$. 4. Filtering volume of the model nets A and B was varied in the range of 0.32~0.55 $m^3$ and 0.37~0.55$m^3$(which can be converted into 8.640~14.850 $m^3$ and 9.990~14.850$m3$in the full~scale net) respectively, and was predominantly varied by towing speed. filtering volume of the model net-A showed the maximum at the towing speed 0.69 m/sec(3 k't in the full-scale net), compared with that of the model net B showed at 0.92 m/sec(4 k't in the full-scale net).

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Characterizations of Several Modules Relative to the Class of B(M, X)

  • Talebi, Yahya;Hosseinpour, Mehrab
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.37-47
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    • 2013
  • Let M and X be right R-modules. We introduce several modules relative to the class of B(M, X) and we investigate relation among these modules. In this note, we show if M is X-${\oplus}$-supplemented such that $M=M_1{\oplus}M_2$ implies $M_1$ and $M_2$ are relatively B-projective, then M is an X-H-supplemented module.

Design of 900 MHz CMOS Low Noie Amplifier (900 MHz CMOS 저잡음 증폭기의 설계)

  • 윤상영;윤헌일;정용채;정항근;황인갑
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.6
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    • pp.893-899
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    • 2000
  • A 900 MHz low-noise amplifier(LNA) with a measured noise figure of 4.8 dB and an associated gain of 13.2 dB was fabricated in a 0.65 $\mu$m CMOS. The inductive source architecture of offers the possibility of achieving the best noise performance. At 900 MHz, the fabricated LNA dissipates 39 mW from a single 3 V power supply including the bias circuitry and provides -26dB input return loss, -17 dB output return loss, and an input 1-dB compression level of -12 dBm.

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