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On the Metric Dimension of Corona Product of a Graph with K1

  • Mohsen Jannesari
    • Kyungpook Mathematical Journal
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    • 제63권1호
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    • pp.123-129
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    • 2023
  • For an ordered set W = {w1, w2, . . . , wk} of vertices and a vertex v in a connected graph G, the k-vector r(v|W) = (d(v, w1), d(v, w2), . . . , d(v, wk)) is called the metric representation of v with respect to W, where d(x, y) is the distance between the vertices x and y. A set W is called a resolving set for G if distinct vertices of G have distinct metric representations with respect to W. The minimum cardinality of a resolving set for G is its metric dimension dim(G), and a resolving set of minimum cardinality is a basis of G. The corona product, G ⊙ H of graphs G and H is obtained by taking one copy of G and n(G) copies of H, and by joining each vertex of the ith copy of H to the ith vertex of G. In this paper, we obtain bounds for dim(G ⊙ K1), characterize all graphs G with dim(G ⊙ K1) = dim(G), and prove that dim(G ⊙ K1) = n - 1 if and only if G is the complete graph Kn or the star graph K1,n-1.

Formula Optimization of a Perilla-canola Oil (O/W) Emulsion and Its Potential Application as an Animal Fat Replacer in Meat Emulsion

  • Utama, Dicky Tri;Jeong, Haeseong;Kim, Juntae;Lee, Sung Ki
    • 한국축산식품학회지
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    • 제38권3호
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    • pp.580-592
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    • 2018
  • The formulation of an oil/water (o/w) emulsion made up of a mixture of perilla oil and canola oil (30/70 w/w) was optimized using a response surface methodology to find a replacement for animal fat in an emulsion-type meat product. A 12 run Plackett-Burman design (PBD) was applied to screen the effect of potential ingredients in the (o/w) emulsion, including polyglycerol polyricinoleate (PGPR), fish gelatin, soy protein isolate (SPI), sodium caseinate, carrageenan (CR), inulin (IN) and sodium tripolyphosphate. The PBD showed that SPI, CR and IN showed promise but required further optimization, and other ingredients did not affect the technological properties of the (o/w) emulsion. The PBD also showed that PGPR played a critical role in inhibiting an emulsion break. The level of PGPR was then fixed at 3.2% (w/w total emulsion) for an optimization study. A central composite design (CCD) was applied to optimize the addition levels of SPI, CR or IN in an (o/w) emulsion and to observe their effects on emulsion stability, cooking loss and the textural properties of a cooked meat emulsion. Significant interactions between SPI and CR increased the cooking loss in the meat emulsion. In contrast, IN showed interactions with SPI leading to a reduction in cooking loss. Thus, CR was also removed from the formulation. After optimization, the level of SPI (4.48% w/w) and IN (14% w/w) was validated, leading to a perilla-canola oil (o/w) emulsion with the ability to replace animal fat in an emulsion-type meat products.

Influence of Age at Weaning on Caecal Content Characteristics and Post-weaning Performance and Health of Rabbits

  • Taranto, S.;Di Meo, C.;Stanco, G.;Piccolo, G.;Gazaneo, M.P.;Nizza, A.
    • Asian-Australasian Journal of Animal Sciences
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    • 제16권10호
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    • pp.1540-1544
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    • 2003
  • This study chiefly aimed to ascertain the effect of age at weaning on caecal content characteristics, post-weaning performance and health of rabbits. A secondary aim was to study the effect of dietary restriction on performance and health of rabbits. After delivery, 30 litters of 8 pups each, were housed in separate cages. Fifteen litters were weaned 24 days from birth (group W 24) while the other 15 were weaned at 28 days (group W28). After weaning, 53 rabbits of group W24 and 56 of group W28 were fed ad libitum (group LIB), while 53 rabbits of group W24 and 57 of group W28 were restricted (group RES). All the rabbits were kept in individual cages. Fourteen other rabbits of groups W24 (7 fed ad libitum and 7 restricted) and 7 of group W28 were sacrificed to obtain data regarding caecum weight and caecal content. Age at weaning affected neither the state of health nor the final live weight. In comparison with those of group W28, the rabbits weaned at 24 days had a lower daily gain until 35 days of age but gain was higher subsequently. From the 28th day, however, the feed intake and the feed conversion ratio of the group W24 rabbits were always better than those of W28. The restricted diet until 42 days resulted in a lower weight both at 42 days (1,078 vs. 1,164 g) and at 70 days (2,192 vs. 2,294 g). Indeed, from the 42nd day, despite receiving feed ad libitum the rabbits of the restricted group continued to ingest less feed (120.8 vs. 127.2 g) than those of the ad libitum group, and had a slightly lower daily gain (39.8 vs. 40.3 g). The measurements carried out on the caecum highlighted significant differences among the groups in caecal content (33.1 vs. 31.7 vs. 25.3 g respectively for groups W24LIB, W28 and W24RES), for total volatile fatty acids (53.2 vs. 50.6 vs. 44.5 mmol/l respectively for groups W24LIB, W28and W24RES) for ammonia (7.0 vs. 7.2vs 8.8 mmol/l respectively for groups W24LIB, W28 and W24RES), for propionate (5.7 vs. 6.3 vs. 8.1% respectively for groups W24LIB, W28 and W24RES) and for propionate/butyrate (0.33 vs. 0.36 vs. 0.49 respectively for groups W24LIB, W28 and W24RES).

열처리된 SiO$_{2}$/TiW 구조의 계면 특성 (The interfacial properties of th eanneled SiO$_{2}$/TiW structure)

  • 이재성;박형호;이정희;이용현
    • 전자공학회논문지A
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    • 제33A권3호
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    • pp.117-125
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    • 1996
  • The variation of the interfacial and the electrical properties of SiO$_{2}$TiW layers as a function of anneal temperature was extensively investigated. During the deposition of SiO$_{2}$ on TiW chemical bonds such as SiO$_{2}$, TiW, WO$_{3}$, WO$_{2}$ TiO$_{2}$ Ti$_{2}$O$_{5}$ has been created at the SiO$_{2}$/TiW interface. At the anneal temperature of 300$^{\circ}C$, WO$_{3}$ and TiO$_{2}$ bonds started to break due to the reduction phenomena of W and Ti and simultaneously the metallic W and Ti bonds started to create. Above 500$^{\circ}C$, a part of Si-O bonds was broken and consequently Ti/W silicide was formed. Form the current-voltage characteristics of Al/Sico$_{2}$(220$\AA$)/TiW antifuse structure, it was found that the breakdown voltage of antifuse device wzas decreased with increasing annealing temperature for SiO$_{2}$(220$\AA$)/TiW layer. When r, the insulating property of antifuse device of the deterioration of intermetallic SiO$_{2}$ film, caused by the influw of Ti and W.W.

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Dietary carnosic acid suppresses hepatic steatosis formation via regulation of hepatic fatty acid metabolism in high-fat diet-fed mice

  • Park, Mi-Young;Mun, Seong Taek
    • Nutrition Research and Practice
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    • 제7권4호
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    • pp.294-301
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    • 2013
  • In this study, we examined the hepatic anti-steatosis activity of carnosic acid (CA), a phenolic compound of rosemary (Rosmarinus officinalis) leaves, as well as its possible mechanism of action, in a high-fat diet (HFD)-fed mice model. Mice were fed a HFD, or a HFD supplemented with 0.01% (w/w) CA or 0.02% (w/w) CA, for a period of 12 weeks, after which changes in body weight, blood lipid profiles, and fatty acid mechanism markers were evaluated. The 0.02% (w/w) CA diet resulted in a marked decline in steatosis grade, as well as in homeostasis model assessment of insulin resistance (HOMA-IR) index values, intraperitoneal glucose tolerance test (IGTT) results, body weight gain, liver weight, and blood lipid levels (P < 0.05). The expression level of hepatic lipogenic genes, such as sterol regulating element binding protein-1c (SREBP-1c), liver-fatty acid binding protein (L-FABP), stearoyl-CoA desaturase 1 (SCD1), and fatty acid synthase (FAS), was significantly lower in mice fed 0.01% (w/w) CA and 0.02% (w/w) CA diets than that in the HFD group; on the other hand, the expression level of ${\beta}$-oxidation-related genes, such as peroxisome proliferator-activated receptor ${\alpha}$ (PPAR-${\alpha}$), carnitine palmitoyltransferase 1 (CPT-1), and acyl-CoA oxidase (ACO), was higher in mice fed a 0.02% (w/w) CA diet, than that in the HFD group (P < 0.05). In addition, the hepatic content of palmitic acid (C16:0), palmitoleic acid (C16:1), and oleic acid (C18:1) was significantly lower in mice fed the 0.02% (w/w) CA diet than that in the HFD group (P < 0.05). These results suggest that orally administered CA suppressed HFD-induced hepatic steatosis and fatty liver-related metabolic disorders through decrease of de novo lipogenesis and fatty acid elongation and increase of fatty acid ${\beta}$-oxidation in mice.

유산균 함유 이중층 미세캡슐화를 위한 조건 최적화 (Optimization of Conditions for the Double Layer Microencapsulation of Lactic Acid Bacteria)

  • 박병규;이종혁;신혜경;이재환;장판식
    • 한국식품과학회지
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    • 제38권6호
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    • pp.767-772
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    • 2006
  • 유산균의 일종인 Lactobacillus sp.을 중심물질로 하고 그 바깥을 2중층으로 미세캡슐화하는 공정을 위한 최적 조건을 확립하였는데, [중심물질]과 [피복물질]의 혼합비율과 유화제 첨가농도, 2중층 유화계내의 2종류 유화제(PGPR/PSML)에 의한 상승효과, 분산액의 온도 및 분산액의 교반속도가 유산균함유 2중층 미세캡슐화 수율에 미치는 영향을 검토하였다. W/O형 및 W/O/W형 유화계내에서의 중심물질과 피복물질의 혼합비율과 유화제 첨가농도에 다른 최적조건을 탐색한 결과, Lactobacillus sp.(Cm)와 옥배경화유(Wm)와의 혼합비율이 [W/O형 Cm]:[W/O형 Wm]=3:2(w/w), 1.00%의 유화제(PGPR) 첨가농도에서 최대의 수율을 나타내었으며, 유산균을 옥배경화유가 단일층으로 둘러싼 W/O형 유화계와 다당류 호화액의 혼합비율 즉, [W/O/W형 중심물질, CM]:[W/O/W형 피복물질, WM]=1:3(w/w) 0.65%의 유화제(PSML) 농도에서 가장 높은 미세캡슐화 수율을 얻을 수 있은 것으로 판명되었다. 최종적으로, 유산균 2중층 미세캡슐화 공정을 위한 여러 가지 요인들 중 물리적인 조건의 변화를 살펴본 결과, 분산매의 온도가 10$^{\circ}C$이며, 미세캡슐을 함유하는 분산액 제조시의 교반정도가 270rpm일 때 2중 미세캡슐화의 가장 높은 수율을 확인 할 수 있다.

Photopic과 Scotopic 곡선의 분포함수 유도 및 분석 (A Distribution Function Analysis of Photopic and Scotopic Curves)

  • 김용근
    • 한국안광학회지
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    • 제5권2호
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    • pp.157-161
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    • 2000
  • 광원의 세기가 다른 조건하에서 눈의 시감효율은 추상체와 간상체에 의해 파장에 따라 2개의 함수로 이루어진다. 광자에 대한 추상체-간상체의 반응확률을 이용하여 $P({\lambda})=A{\cdot}e^{-({\lambda}-{\lambda}_0)^2/2W^2}$의 분포함수 수식을 유도하였다. 이 식은 파장에 따른 CIE의 눈의 시감효율 곡선에 잘 적용되며 상대 시감효율의 경우 photopic의 경우 A=106.4, ${\lambda}_0=559.2$, W=83.5이고 scotopic의 경우 A=99.3, ${\lambda}_0=502.6$, W=79.5의 값을 얻었다. 1m/W의 단위를 사용하는 시감효능 곡선에서는 photopic의 경우 $A=7.2{\times}10^4$, ${\lambda}_0=559.2$, W=86.5이고 scotopic의 경우 $A=1.6{\times}10^5$, ${\lambda}_0=502.6$, W=79.5의 값을 얻었다.

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홍삼 엑기스를 함유한 분말주의 제조 및 평가 (Preparation and Evaluation of Dry Alcohol Containing Red Ginseng Extract)

  • 이사원;최한곤;박정일;김종국
    • Journal of Ginseng Research
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    • 제24권1호
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    • pp.23-28
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    • 2000
  • 덱스트린/에탄올/물(1/1/l, w/w/w)의 혼합용액에 라우릴황산나트륨 0.5%(w/w) 및 홍삼 엑기스 20%(w/w)를 첨가한 조성을 가지고 분무건조하여 제조한 분말 홍삼주는 최대 에탄올(31.17$\pm$ 1.33%(w/w)) 및 ginsenoside Rbl(243.0$\pm$ 7.0$\mu\textrm{g}$/g)이 봉입된 미립구로서 용해 및 복용감이 우수한 새로운 홍삼 엑기스의 제형으로서의 가능성이 있다.

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소프트웨어 제품계열 아키텍처 개발 프로세스 (Development of a Software Product-Line Architecture Process)

  • 오영배
    • 한국IT서비스학회:학술대회논문집
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    • 한국IT서비스학회 2005년도 춘계학술대회
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    • pp.365-371
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    • 2005
  • S/W 제품계열(S/W Product Line)은 공통의 유사한 기능을 지닌 S/W 제품 또는 S/W 시스템의 집합을 의미한다. S/W 제품 계열을 통해 특정 영역의 시장과 용도의 요구사항을 만족하여 특정 S/W 제품 개발시 미리 구축된 S/W 아키텍처 등의 S/W 핵심 자산을 재사용하여 개발한다. S/W 제품계열 기반의 S/W 개발방식은 미리 구축된 S/W 핵심자산을 재사용함으로 처음부터 전체 시스템을 개발하는 방식보다 쉽고, 빠르게 S/W를 생산할 수 있다. S/W 기술 선진국들은 S/W 제품계열을 S/W 생산기술의 핵심 분야로 선장하고 중점적으로 기술 개발을 지원하고 있다. 미국의 CMU/SEI는 산업체 및 국방성과 함께 제품계열 프레임워크 4.0 (Product-Line Framework 4.0)을 개발하였고 유럽은 ITEA(IT for European Advancement) 프로그램에서 제품계열 기술 개발을 지원하고 있다. 그러나 국내의 경우 S/W 개발의 생산성 향상 방안으로 제품계열 기반 S/W 생산기술의 필요성을 인식하고 있으나, 기술 개발 투자는 미흡한 상황이다. 본 논문에서는 이러한 S/W 제품계열 생산을 위한 S/W 제품계열의 공통 아키텍처를 정립하는 것을 목표로 하고 있다.

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Effects of Tungsten Addition on Tensile Properties of a Refractory Nb-l8Si-l0Ti-l0Mo-χW (χ=0, 5, 10 and 15 mot.%) In-situ Composites at 1670 K

  • 김진학;Tatsuo Tabaru;Hisatoshi Hirai
    • 소성∙가공
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    • 제8권3호
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    • pp.233-233
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    • 1999
  • To investigate the effect of tungsten addition on mechanical properties, we prepared refractory (62χ)Nb-18Si-l00Mo-l0Ti-χW (χ=0, 5, 10 and 15 mol.%) in-situ composites by the conventional arc-casting technique, and then explored the microstructure, hardness and elastic modulus at ambient temperature and tensile properties at 1670 K. The microstructure consists of relatively fine (Nb, Mo, W, Ti)/sub 5/Si₃, silicide and a Nb solid solution matrix, and the fine eutectic microstructure becomes predominant at a Si content of around 18 mol.%. The hardness of (Nb, Mo, W, Ti(/sub 5/Si₃, silicide in a W-free sample is 1680 GPa, and goes up to 1980 GPa in a W 15 mol.% sample. The hardness, however, of Nb solid solution does not exhibit a remarkable difference when the nominal W content is increased. The elastic modulus shows a similar tendency to the hardness. The optimum tensile properties of the composites investigated are achieved at W 5 mol.% sample, which exhibits a relatively good ultimate strength of 230 MPa and an excellent balance of yield strength of 215 MPa, and an elongation of 3.7%. The SEM fractography generally indicates a ductile fracture in the W-free sample, and a cleavage rupture in W-impregnated ones.