• 호남수학학술지
• /
• 제34권3호
• /
• pp.403-408
• /
• 2012

In this paper, we prove that if K is a convex body in $E^n$ and $E_i$ and $E_o$ are inscribed ellipsoid and circumscribed ellipsoid of K respectively with ${\alpha}E_i=E_o$, then $\[({\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n{\geq}V(K)V({\Gamma}^{\ast}_pK){\geq}\[(\frac{1}{\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n$. Lutwak and Zhang[6] proved that if K is a convex body, ${\omega}^2_n=V(K)V({\Gamma}_pK)$ if and only if K is an ellipsoid. Our inequality provides very elementary proof for their result and this in turn gives a lower bound of the volume product for the sets of constant width.

• 한국응용곤충학회지
• /
• 제53권4호
• /
• pp.399-408
• /
• 2014

유령거미속의 4신종, Pholcus chiakensis n. sp. (치악유령거미; 신칭), P. gajiensis n. sp. (가지유령거미; 신칭), P. juwangensis n. sp. (주왕유령거미; 신칭), P. palgongensis n. sp. (팔공유령거미; 신칭)을 기재한다. 그리고 기지의 17종과 함께 신종들의 검색표를 제공한다.

• 한국가금학회지
• /
• 제48권2호
• /
• pp.59-67
• /
• 2021

This study investigated the morphological features, growth, and meat yield performance of Pekin (P), Nageswari (N), and their reciprocal F₁ crossbreds (P♂×N♀ and N♂×P♀). A total of 301-day-old ducklings were reared in four different pens up to 20 weeks of age under intensive management conditions. Feeding and management practices were similar for all individuals throughout the experimental period. The morphology and plumage pattern of F₁ crossbreds were similar to those of indigenous Nageswari ducks because of the dominant inheritance of the extended Black allele (E locus). Genotype had significant differences (P<0.05) among the four genotypes in morphometric measurements, except wing and shank length. Growth performance was highly significant among the four genotypes (P<0.001) from one-day to 12 weeks of age. The average live weights of P, N, P♂×N♀ and N♂×P♀ crossbred genotypes at 12 weeks of age were 2038.35±29.74, 1542.44±33.61, 1851.85±28.59 and 1691.08±27.80 g, respectively. Meat yield parameters varied significantly (P<0.05) among the different genotypes for all studied traits, except for liver and gizzard weight. Moreover, no significant differences (P>0.05) were observed between P and P♂×N♀ crossbred for important meat yield traits such as hot carcass weight, dressing%, back half weight, drumstick with thigh weight and breast meat weight. Remarkably, the P♂×N♀ crossbreed possesses 50% native inheritance, which contributes to better adaptation in a hot-humid environment. Our results revealed that the P♂×N♀ genotype could be suitable for higher meat production with better adaptability in the agro-climatic conditions of Bangladesh.

• 대한수학회보
• /
• 제60권4호
• /
• pp.905-913
• /
• 2023

Suppose that M is a strictly convex hypersurface in the (n + 1)-dimensional Euclidean space 𝔼ⁿ⁺¹ with the origin o in its convex side and with the outward unit normal N. For a fixed point p ∈ M and a positive constant t, we put 𝚽_t the hyperplane parallel to the tangent hyperplane 𝚽 at p and passing through the point q = p - tN(p). We consider the region cut from M by the parallel hyperplane 𝚽_t, and denote by I_p(t) the (n + 1)-dimensional volume of the convex hull of the region and the origin o. Then Schneider's characterization theorem for ellipsoids states that among centrally symmetric, strictly convex and closed surfaces in the 3-dimensional Euclidean space 𝔼³, the ellipsoids are the only ones satisfying I_p(t) = 𝜙(p)t, where 𝜙 is a function defined on M. Recently, the characterization theorem was extended to centrally symmetric, strictly convex and closed hypersurfaces in 𝔼ⁿ⁺¹ satisfying for a constant 𝛽, I_p(t) = 𝜙(p)t^𝛽. In this paper, we study the volume I_p(t) of a strictly convex and complete hypersurface in 𝔼ⁿ⁺¹ with the origin o in its convex side. As a result, first of all we extend the characterization theorem to strictly convex and closed (not necessarily centrally symmetric) hypersurfaces in 𝔼ⁿ⁺¹ satisfying I_p(t) = 𝜙(p)t^𝛽. After that we generalize the characterization theorem to strictly convex and complete (not necessarily closed) hypersurfaces in 𝔼ⁿ⁺¹ satisfying I_p(t) = 𝜙(p)t^𝛽.

• 대한수학회보
• /
• 제52권5호
• /
• pp.1467-1480
• /
• 2015

Generalized Fibonacci and Lucas sequences ($U_n$) and ($V_n$) are defined by the recurrence relations $U_{n+1}=PU_n+QU_{n-1}$ and $V_{n+1}=PV_n+QV_{n-1}$, $n{\geq}1$, with initial conditions $U_0=0$, $U_1=1$ and $V_0=2$, $V_1=P$. This paper deals with Fibonacci and Lucas numbers of the form $U_n$(P, Q) and $V_n$(P, Q) with the special consideration that $P{\geq}3$ is odd and Q = -1. Under these consideration, we solve the equations $V_n=5kx^2$, $V_n=7kx^2$, $V_n=5kx^2{\pm}1$, and $V_n=7kx^2{\pm}1$ when $k{\mid}P$ with k > 1. Moreover, we solve the equations $V_n=5x^2{\pm}1$ and $V_n=7x^2{\pm}1$.

• 환경위생공학
• /
• 제5권1호
• /
• pp.28-33
• /
• 1990

춘천의 잣나무림과 관악산의 소나무림에 있어서 낙엽의 무기화를 연구하였다. N, P, K, Ca 및 Na의 무기화 상수를 보면 잣나무림에서는 각각 0.064, 0.068, 0.040, 0.047, 0.417, 0.058이었으며, 소나무림에서는 0.049, 0.049, 0.346, 0.058이었다. 무기물이 무기화되는 순서는 잣나무림에서는 Ca>P>N>Na>K였으며 소나무림에서는 Ca>Na>N=P>K로 나타났다. 일반적으로 양이온의 무기화는 음이온의 무기화보다 빨랐다.

• 농업생명과학연구
• /
• 제46권3호
• /
• pp.79-85
• /
• 2012

This study was conducted to examine the effect of dietary n-3/n-6 fatty acid (FA) ratio on in vitro dry matter digestibility (IVDMD), fermentation indices and FA profile. Rice bran was mixed with oil sources (cotton seed oil and linseed oil) to make the diets at 0.02, 0.29 and 0.61 of dietary n-3/n-6 FA ratio. These diets (0.5g) were placed into the incubation bottles with 40 ml of anaerobic culture medium, which contained rumen fluid and Van Soest medium at 1:2 ratio. Five replicates of each diet and two blanks were incubated at $39^{\circ}C$ for 48 hours. After incubation, the incubated contents were centrifuged. The residues were freeze-dried for DMD and FA analyses. The supernatant was used for pH, $NH_3-N$ and volatile fatty acid analyses. The concentrations of lactate (p<0.001) and iso-valerate (p<0.001) decreased linearly with increasing dietary n-3/n-6 FA ratio, but acetate concentration (p=0.056) and the ratio of acetate to propionate (p=0.005) was increased linearly. The concentrations of n-3, n-6 FA and the ratio of n-3/n-6 FA in residues increased (p<0.001) linearly with increasing dietary n-3/n-6 FA ratio, but C18:1n-9 FA concentration was decreased (p<0.001) linearly. With these results, it could affect fermentation characteristics and FA profile of rumen content by dietary n-3/n-6 FA ratio.

• 대한수학회보
• /
• 제42권2호
• /
• pp.245-256
• /
• 2005

We consider the second-order nonlinear difference equation (1) $$\Delta(a_nh(x_{n+1}){\Delta}x_n)+p_{n+1}f(x_{n+1})=0,\;n{\geq}n_0$$ where ${a_n},\;{p_n}$ are sequences of integers with $a_n\;>\;0,\;\{P_n\}$ is a real sequence without any restriction on its sign. hand fare real-valued functions. We obtain some necessary conditions for (1) existing nonoscillatory solutions and sufficient conditions for (1) being oscillatory.

• 대한화학회지
• /
• 제16권5호
• /
• pp.314-319
• /
• 1972

N-methyl-p-aminophenol은, 酸素存在下, 철-킬레이트(Fe(III)-EDTA) 水溶液中에서 酸化重合하여 黑色의 Oligo-(N-methyl-p-aminophenol)을 定量的으로 生成한다. 이 酸化重合過程에서 單量體中의 N에 結合된 $CH_3$ group이 일부 脫離되는데, 이것은 oligo-(N-methyl-p-aminophenol)을 아세톤처리하여 얻은 아세톤 可溶部와 不溶部의 赤外線스펙트럼에서 ${\delta}\;asym\;CH_3\;1460\;cm^{-1}$ 및 ${\delta}\;sym\;CH_3\;1380\;cm^{-1}$의 吸收가 候者의 경우 현저히 弱化된 것으로 明白하다. $N_2$氣流中에서 每分 $2^{\circ}C$의 上昇速度로 行한 TGA分析結果, $600^{\circ}C$에서 약 40%의 重量損傷을 나타내며, $CH_3$ 置換基가 없는 p-aminophenol보다 耐熱性이 떨어진다. 또한 이 生成올리고머의 He 氣流中에서 행한 熱分解反應에서의 生成物은 單量體인 N-methyl-p-aminophenol과 물이 確認되었고 分解가스로부터는 gas chromatography에서 $H_2,\;CO,\;CO_2$등이 確認되었다. 生成올리고머의 熱處理에서는 일부는 1次元的인 構造가 切斷되어 單量體로 分解되지만, 대부분은 melt polycondensation이 일어나 더 큰 重合體로 변함과 동시에 熱에 安定한 環式構造로 변하여 감이 確認되었다

• 한국통신학회논문지
• /
• 제27권6A호
• /
• pp.549-554
• /
• 2002

본 논문에서는 n=2m과 흘수 소수 p에 대해서 유한테 $F_{p^{n}}$ 에서 소체 $F_{p}$ 로의 새로운 일반화 벤트 함수를 $F_{p^{n}}$에서 정의된 partial spread를 이용하여 생성한다. 또한 제안된 일반화 벤트 함수와 그것의 트레이스 변환된 함수를 트레이스 함수를 이용하여 표현한다.