• Korean Journal of Mathematics
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• 제18권2호
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• pp.195-200
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• 2010

Let C be a closed convex set in ${\mathbb{S}}^m$ or ${\mathbb{H}}^m$. Assume that ${\Sigma}$ is an n-dimensional compact minimal submanifold outside C such that ${\Sigma}$ is orthogonal to ${\partial}C$ along ${\partial}{\Sigma}{\cap}{\partial}C$ and ${\partial}{\Sigma}$ lies on a geodesic sphere centered at a fixed point $p{\in}{\partial}{\Sigma}{\cap}{\partial}C$ and that r is the distance in ${\mathbb{S}}^m$ or ${\mathbb{H}}^m$ from p. We make use of a modified volume $M_p({\Sigma})$ of ${\Sigma}$ and obtain a sharp relative isoperimetric inequality $$\frac{1}{2}n^n{\omega}_nM_p({\Sigma})^{n-1}{\leq}Vol({\partial}{\Sigma}{\sim}{\partial}C)^n$$, where ${\omega}_n$ is the volume of a unit ball in ${\mathbb{R}}^n$ Equality holds if and only if ${\Sigma}$ is a totally geodesic half ball centered at p.

• Asian-Australasian Journal of Animal Sciences
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• 제21권10호
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• pp.1441-1448
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• 2008

This experiment was carried out to study the carcass characteristics, chemical composition and fatty acid profile of the Longissimus muscle (LM) of bulls (10) and steers (17) finished in a pasture system. Animals (1/2 Zebu vs. 1/2 Aberdeen Angus) were fed in a pasture system (Hermatria altissima) and with a supplement of soybean meal, cracked corn, urea, limestone and mineral salts, twice a day. Both animal groups were slaughtered at 27 months of age, with an average 508.88 kg of live weight. Final weight, hot carcass weight and texture were similar (p>0.05) between bulls and steers. Carcass dressing, fat thickness, color and marbling were higher (p<0.02) in steers. Conversely, the Longissimus area was greater (p<0.05) in bulls. Moisture levels were higher (p<0.01) in bulls. Ash, crude protein, total lipids and total cholesterol levels were higher (p<0.10) in steers. C14:0, C16:0, C16:1 n-7 and C18:1 n-9 fatty acids percentages were higher (p<0.06) in steers. C16-1 n-10, i 17:0, C19:0, C18:2 n-6, C18:3 n-3, C20:2 n-3 C20:4 n-6, C20:5 n-3, C22:1 n-7, C22:4 n-6 and C22:5 n-3 fatty acids percentages were higher (p<0.05) in bulls. The percentage of the other fatty acids was similar (p>0.05) in bulls and steers. The levels of monounsaturated fatty acids were higher (p<0.02) in steers while polyunsaturated fatty acids, n-3, n-6, PUFA/SFA and n6:n3 ratios, were higher (p<0.05) in bulls. The CLA contents (mg/g lipids) were similar (p>0.10) in bulls and steers.

• KSBB Journal
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• 제4권2호
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• pp.65-68
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• 1989

누에 번데기의 단백질 추출 조건을 규명하고자 온도, ph및 시간 변화에 따라 추출된 단백질의 총 질소함량을 Kjeldahl법과 원소 분석기를 이용한 결과는 다음과 같다. 1. 누에 번데기의 초단백질 : 23.34%, 조지방 : 15.61%이나, 2. 온도 변화에 따른 ph 4에서 1시간 추출시 6$0^{\circ}C$:6.76%, 8$0^{\circ}C$:7.94%, 10$0^{\circ}C$:8.67%이고 C.H.N corder의 분석결과는 6$0^{\circ}C$:8.08%, 8$0^{\circ}C$:9.52%, 10$0^{\circ}C$:9.72%로서 두 가지 방법에서 수치는 다르지만 온도 상승에 따라 수용성 질소계수가 증가하는 경향임을 알 수 있다. 3. pH변화에 따른 8$0^{\circ}C$에서 1시간 추출시 pH 4:7.94%, pH 6:8.96%, pH : 8:9.70%, pH : 10:10.67%, pH : 12:10.98%로 온도 상승과 같이 pH증가에 따라 증가하는 경향을 보이고 있다. 4.추출시간의 변화에 따른 10$0^{\circ}C$에서 pH 4인경우 1시간:8.67%, 2시간:9.23%, 3시간:9.76%이고, C.H.N. corder의 결과는 1시간:9.72%, 2시간:10.06%, 3시간:10.83%로서 추출 시간이 늘어남에 따라 증가되는 경향을 보이고 있다.

• 한국축산식품학회지
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• 제27권4호
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• pp.475-481
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• 2007

본 연구는 약 192일령의 총 40두(암 21, 수 19) 재래돼지의 일반성분 조성을 성별에 따라 비교한 결과 단백질 함량은 차이가 없었으나 지방함량은 암퇘지가 유의적으로 높게 나타난 반면에 수분 및 회분함량은 수퇘지가 더 높은 것으로 나타났다(p<0.05). 육질특성에서 암퇘지가 수퇘지와 비교하여 보수력이 높고 전단력이 유의적으로 낮은 것으로 분석되었으나(p<0.05) 가열감량은 성별간에 유의적인 차이가 없는 것으로 나타났다. 육색에서는 백색도 및 적색도는 암퇘지와 수퇘지 모두 비슷하였으나 황색도는 암퇘지가 더 높은 것으로 나타났다(p<0.05). 재래돼지 등심육의 아미노산 조성 및 무기물 조성은 모두 성별 간에 유의적인 차이가 없었다(p>0.05). 그러나 지방산 조성에서는 암퇘지가 근내지방층에 C16:1n7, C18:1n9 함량이 수퇘지보다 유의적으로 더 많았고, 등지방층에서는 C14:0, C16:0, C20:1n9, C20:5n3이 수퇘지보다 유의적으로 더 많았다(p<0.05). 반면에 수퇘지는 근내지방층에는 C18:0, C18:1n7, C18:2n6, C20:1n9, C20:4n6, C22:4n6이 더 많았고, 등지방층에는 C18:2n6, C22:4n6 함량이 암퇘지보다 유의적으로 많은 것으로 나타났다(p<0.05). 관능특성에서 암퇘지가 수퇘지와 비교하여 다즙성, 연도, 향미에서 더 우수한 것으로 나타났다(p<0.05). 결론적으로 본 연구는 재래돼지 성별에 따른 성분조성 및 육질특성을 비교한 것으로 앞으로 재래돼지에 대한 적절한 품질인증기준을 설정하는데 중요한 기초자료로 이용될 수 있을 것으로 생각된다.

• Journal of the Korean Statistical Society
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• 제25권2호
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• pp.175-183
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• 1996

Let $S_n,n$ = 1, 2,... denote the partial sums of not necessarily in-dependent random variables. Let N(c) = min${ n ; S_n > c}$, c $\geq$ 0. Theorem 2 states that N (c), (suitably normalized), tends to 0 in p-mean, 1 $\leq$ p < 2, as c longrightarrow $\infty$ under mild conditions, which generalizes earlier result by Gut(1974). The proof follows by applying Theorem 1, which generalizes the known result $E$\mid$S_n$\mid$^p$ = o(n), 0 < p< 2, as n .rarw..inf. to randomly indexed partial sums.

• 대한수학회지
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• 제32권2호
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• pp.161-170
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• 1995

A complex $n(\geq 2)$-dimensional Kaehlerian manifold of constant holomorphic sectional curvature c is called a complex space form, which is denoted by $M_n(c)$. A complete and simply connected complex space form is a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$, according as c > 0, c = 0 or c < 0. Takagi [12] and Berndt [2] classified all homogeneous real hypersufaces of $P_nC$ and $H_nC$.

• Asian-Australasian Journal of Animal Sciences
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• 제18권12호
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• pp.1786-1793
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• 2005

The study compared the fatty acid profiles of 3 muscles (Longissimus dorsi, LD, Triceps brachii, TB and Semimembranosus, SM) obtained from Korean Hanwoo (18 steers, 24 months old) and Australian Angus beef (18 steers, 24 months old) and assessed their role in sensory perception. The samples of each carcass were prepared in the same manner, and cooked both as traditional grilled steaks and Korean BBQ style. A total of 720 Korean sensory panelists evaluated the beef samples for tenderness, juiciness, flavor, and overall liking. Oleic acid (18:1) was significantly (p<0.05) higher in TB than that in LD and SM. The essential linoleic acid (C18:2) was significantly (p<0.05) higher in TB and SM than that in LD. For LD muscle, the proportion of saturated fatty acids was significantly (p<0.05) highest, while that of polyunsaturated fatty acids was lowest among the three muscles. Australian Angus beef had significantly (p<0.05) higher n-3 PUFA than that of the Korean Hanwoo for the three muscles, while the latter contained significantly (p<0.05) higher n-6 PUFA than that of the former. The clustering analysis showed that there a was significant difference in fatty acids such as C16:0, C16:1n7, C18:0, C18:2n6, C18:3n3, C20:3n6, C20:4n6, C22:4n6, and C22:5n3 for sensory perception (tenderness, juiciness, flavor and overall likeness) of the beef from two origins (p<0.05) among three clusters. Especially, C14:0 had a significant effect on sensory perception only for Korean Hanwoo beef; while C20:5n3 had a significant (p<0.05) effect only for Australian Angus beef based on clustering with the sensory variables.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2007년도 하계학술대회 논문집 Vol.8
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• pp.348-349
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• 2007

This paper describes the electrical characteristics of polycrystalline (poly) 3C-SiC thin film diodes, in which poly 3C-SiC thin films on n-type and p-type Si wafers, respectively, were deposited by APCVD using HMDS, Hz, and Ar gas at $1180^{\circ}C$ for 3 hr. The schottky diode with Au/poly 3C-SiC/Si(n-type) structure was fabricated. Its threshold voltage ($V_d$), breakdown voltage, thickness of depletion layer, and doping concentration ($N_D$) values were measured as 0.84 V, over 140 V, 61nm, and $2.7\;{\times}\;10^{19}\;cm^3$, respectively. The p-n junction diodes fabricated on the poly 3C-SiC/Si(p-type) were obtained like characteristics of single 3C-SiC p-n junction diodes. Therefore, poly 3C-SiC thin film diodes will be suitable microsensors in conjunction with Si fabrication technology.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.525-534
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• 2019

Let $P(G,{\lambda})$ denote the number of proper vertex colorings of G with ${\lambda}$ colors. The chromatic polynomial $P(C_n,{\lambda})$ for the cycle graph $C_n$ is well-known as $$P(C_n,{\lambda})=({\lambda}-1)^n+(-1)^n({\lambda}-1)$$ for all positive integers $n{\geq}1$. Also its inductive proof is widely well-known by the deletion-contraction recurrence. In this paper, we give this inductive proof again and three other proofs of this formula of the chromatic polynomial for the cycle graph $C_n$.

• Bulletin of the Korean Chemical Society
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• 제26권8호
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• pp.1185-1189
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• 2005

Two new copper vanadium borophosphate compounds, $(NH_4)(C_2H_{10}N_2)_{5.5}[Cu(C_2H_8N_2)_2]_3[V_2P_2BO_{12}]_6{\cdot}17H_2O,\;Cu-VBPO1\;and\;(NH_4)(C_2H_{10}N_2)_{3.5}[Cu(C_2H_8N_2)_2]_5[V_2P_2BO_{12}]_6{\cdot}18H_2O$, Cu-VBPO2 have been hydrothermally synthesized and characterized by single crystal X-ray diffraction, thermogravimetric analysis, IR spectroscopy, and elemental analysis. The structure of Cu-VBPO1 contains a layer anion, {$[Cu(C_2H_8N_2)_2]_3[V_2P_2BO_{12}]_6$}$^{12-}$, whereas Cu-VBPO2 has an open framework anion, {$[Cu(C_2H_8N_2)_2]_5[V_2P_2BO_{12}]_6$}$^{8-}$. Crystal Data: $(NH_4)(C_2H_{10}N_2)_{5.5}[Cu(C_2H_8N_2)_2]_3[V_2P_2BO_{12}]_6{\cdot}17H_2O$, monoclinic, space group I2/m (no. 12), $\alpha$ = 15.809(1) $\AA$, b = 31.107(2) $\AA$, c = 12.9343(8) $\AA$, $\beta$ = 104.325(1)$^{\circ}$, Z = 2; $(NH_4)(C_2H_{10}N_2)_{3.5}[Cu(C_2H_8N_2)_2]_5[V_2P_2BO_{12}]_6{\cdot}18H_2O$, tetragonal, space group $P4_2$/mnm (no.136), $\alpha$ = 26.832(1) $\AA$, c = 18.021(1) $\AA$, Z = 4.