• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제22권4호
• /
• pp.403-412
• /
• 2015

Kato[6] and Torres[9] characterized the Weierstrass semigroup of ramification points on h-hyperelliptic curves. Also they showed the converse results that if the Weierstrass semigroup of a point P on a curve C satisfies certain numerical condition then C can be a double cover of some curve and P is a ramification point of that double covering map. In this paper we expand their results on the Weierstrass semigroup of a ramification point of a double covering map to the Weierstrass semigroup of a pair (P, Q). We characterized the Weierstrass semigroup of a pair (P, Q) which lie on the same fiber of a double covering map to a curve with relatively small genus. Also we proved the converse: if the Weierstrass semigroup of a pair (P, Q) satisfies certain numerical condition then C can be a double cover of some curve and P, Q map to the same point under that double covering map.

• 충청수학회지
• /
• 제26권3호
• /
• pp.641-645
• /
• 2013

In this article, we show that the modular equation ${\Phi}_p^{T_q}(X,Y)$ of Thompson series $T_q$ corresponding to ${\Gamma}_0(q)+q$ gives an affine model of a modular curve $X_0(pq)+q$.

• 정보보호학회논문지
• /
• 제16권6호
• /
• pp.95-109
• /
• 2006

타원곡선 암호시스템은 작은 키 길이로 인하여 스마트카드, 센서 모트와 같은 메모리, 계산 능력이 제약된 장치에서 사용하기에 적합하다. 본 논문에서는 이러한 장치에서 타원곡선 서명 알고리즘 검증 (uP+vQ, u, v: 상수, P, Q: 타원곡선 위의 점)의 주된 계산인 다중 상수배를 효율적으로 계산하기 위한 알고리즘을 제안한다. 제안 알고리즘은 부분 윈도우와 Interleave 방법에 기반을 둔 것으로서 어떠한 크기의 사전계산 테이블이라도 이용할 수 있을 뿐만 아니라, 해당 테이블에서 최적의 nonzero 밀도를 제공한다. 또한 상수 리코딩이 테이블 조회를 사용하지 않고 상수배 계산과 함께 진행되기 때문에 기존의 다른 알고리즘에 비하여 더욱 메모리를 절약할 수 있다. 실험을 통하여 163비트의 u, v와, 233 비트의 u, v에 대하여 uP+vQ를 수행하는 데 필요한 계산량을 사전계산 테이블의 크기에 따라 비교함으로써 최적의 테이블 크기는 각각 7, 15임을 알아낼 수 있었다.

• 품질경영학회지
• /
• 제50권3호
• /
• pp.349-371
• /
• 2022

Purpose: Compared to the rapid growth rate of the domestic automotive LED industry so far, the predictive analysis method for demand forecasting or market outlook was insufficient. Accordingly, product characteristics are analyzed through the life trend of LEDs for automotive exterior lamps and the relative strengths of p and q using the Bass model. Also, future demands are predicted. Methods: We used sales data of a leading company in domestic market of automotive LEDs. Considering the autocorrelation error term of this data, parameters m, p, and q were estimated through the modified estimation method of OLS and the NLS(Nonlinear Least Squares) method, and the optimal method was selected by comparing prediction error performance such as RMSE. Future annual demands and cumulative demands were predicted through the growth curve obtained from Bass-NLS model. In addition, various nonlinear growth curve models were applied to the data to compare the Bass-NLS model with potential market demand, and an optimal model was derived. Results: From the analysis, the parameter estimation results by Bass-NLS obtained m=1338.13, p=0.0026, q=0.3003. If the current trend continues, domestic automotive LED market is predicted to reach its maximum peak in 2021 and the maximum demand is $102.23M. Potential market demand was $1338.13M. In the nonlinear growth curve model analysis, the Gompertz model was selected as the optimal model, and the potential market size was $2864.018M. Conclusion: It is expected that the Bass-NLS method will be applied to LED sales data for automotive to find out the characteristics of the relative strength of q/p of products and to be used to predict current demand and future cumulative demand.

• The Korean Journal of Ecology
• /
• 제18권2호
• /
• pp.275-283
• /
• 1995

Seral changes in floristic composition during abandoned field succession after shifting cultivation was investigated in eastern Kangwon-Do, Korea. According to the DCA ordination based on the floristic composition, sere of the dominant species was shown as follows: Digitaria sanguinalis, Persicaria spp., Commelina communis etc. in the annual stage (0∼1 years); Erigeron spp., Artemisia spp., Rubus crataegus etc. in the Erigeron-Artemisia stage (2∼6 years); Pinus densiflora, Salix spp., Miscanthus sinensis, Arundinella hirta etc. in the shrub - earlier tree stage (10∼25 years); P. densiflora, Quercus mongolica, Spodiopogon sibiricus etc. in the mid-tree stage (25∼50 years); Q. mongolica, Tripterigium regelii, Lespedeza maximowiczii, Carex siderosticta etc. in the latter tree stage (50∼80 years). In mid-tree stage, size-frequency distribution of P. densiflora was plotted as a platycurtic curve and that of Q. mongolica as a reverse J-shaped curve, which meant P. densiflora was thinned through interspecific competition and Q. mongolica was regenerated by itself in the later tree stage.

• 대한수학회보
• /
• 제50권2호
• /
• pp.407-416
• /
• 2013

Let E be an elliptic curve over $\mathbb{Q}$ and $p$ be a prime of good supersingular reduction for E. Although the Iwasawa theory of E over the cyclotomic ${\mathbb{Z}}_p$-extension of $\mathbb{Q}$ is well known to be fundamentally different from the case of good ordinary reduction at p, we are able to combine the method of our earlier paper with the theory of Kobayashi [5] and Pollack [8], to give an explicit upper bound for the number of copies of ${\mathbb{Q}}_p/{\mathbb{Z}}_p$ occurring in the $p$-primary part of the Tate-Shafarevich group of E over $\mathbb{Q}$.

• 한국조경학회지
• /
• 제22권1호
• /
• pp.85-100
• /
• 1994

This study was to analyze the relationship between the community or species and environmental variables of the vegetation landscape in Naejangsan National Park. The analysis was performed by the ordination of DCA and CCA. The study was to compare and analyze the species composition status by the layer and the growth characterisics of the following vegetations ; Torreya nucifera community, Quercus variabilis - Acer palmatum community, Q. variabilis community, Q. variabilis - Sasa purpurascens community and Daphniphyllam macropodum community. The results are as follows; 1. The result of the study on the relationshkp between the stand scores of DCA ordination and environmental variables showed that the soil pH, the ammount of AV-P2O5 and the ammount of C.E.C. tend to increase while Pinus densiflora community changes to Q. variabilis - Q. serrata community and finally Carpinus laxiflora species community siginigicantly. The relation between the stand scores of CCA ordination and several enviromental variables suggested that the species of C. laxiflora and C. tschonoskii the species of Q. cariabilis and Q. serrata the species of C. pisifera, P. densiflora and Q. aliana in sequence grows in more fertile soil. 2. As the result of the analysis of the T. nucifera community showed, reproduction did not increase, and the characteristic of growth was not affected. The result is shown in the growth curve that was damaged by the climate and the human interference. 3. The A. palmatum was found to be as minor species in the middle layer and the crown areas did not have sufficient crown. 4. The result of the analysis of the relationship between Q. variabilis community and Q. variabilis - S. purpurascens community showed a decreasing tendency in the growth and number of species. 5. D. macropodum which constituted the dominance species in the middle layer had a nomal growth curve, and then the successional trend of D. macropodum species seems to be located in the climax species.

• The Korean Journal of Ecology
• /
• 제19권3호
• /
• pp.223-230
• /
• 1996

Five measurements of species diversity (richness index, diversity index, evenness index, dominance index and species sequences-importance curve) and their relationships with sltitude, tree age and community type were studied in $T\v{o}gyusan$ National Park, Korea. Altitude and tree age were the major variables explaining the differences of species diversity in the whole forest. Species richness index, diversity index and evenness index of Quercus mongolica and Pinus densiflora communities were lower than those of Carpinus laxiflora, Q. serrata, Fraxinus mandshurica, Q. mongolica - P. densiflora communities than that in the other communities. The species sequence-importance curve of the forest communities in $T\v{o}gyusan$ coincided with the ideal curve calculated by the lognormal-distribution theory.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2002년도 추계학술대회 논문집 전력기술부문
• /
• pp.154-156
• /
• 2002

PSS/E의 내부 시퀀스인 IPLAN을 이용하여 반복 조류계산을 함으로서 P-V, Q-V 곡선의 P, Q, V 값을 계산하는 IPLAN을 작성하였다. 작성된 곡선들은 유효전력 및 무효전력 예비력을 판단하는 지표, 전압안정도를 판별하는 지표 등 여러 방면에서 사용될 수 있다.

• 한국지반공학회논문집
• /
• 제24권6호
• /
• pp.5-16
• /
• 2008

오염지반에 편재하중이 작용하는 경우에 있어서 지반의 소성화로 인한 측방유동에 대한 안정관리방법을 규명하기 위하여 기존의 이론적인 배경을 고찰하고, 모형실험을 통하여 실측한 결과를 상호 비교 분석하였다. ML과 $ML_{p1},\;ML_{p2}$ 모두 하중(q)-침하량$(S_v)$ 곡선에서 얻어진 극한지지력은 부영(富永) 교본(橋本) 의 변위량$(S_v-Y_m)$에 대한 관리도, 송미(松尾) 천촌(川村)의 $\{S_v-(Y_m/S_v)\}$의 관리도, 자전(紫田) 관구(關口)의 $(q/Y_m)-q$의 관리도에서 얻어진 극한지지력과 상당히 유사하게 나타나고 있어 실제 적용시 무리가 없을 것으로 사료된다. $ML_{p1}$의 송미(松尾) 천촌(川村)의 $\{S_v-(Y_m/S_v)\}$ 관리도에서 얻어진 극한하중은 하중-침하량 곡선$(q-S_v)$에서 얻어진 극한하중 값보다 작은 값을 보이고 있다. 송미(松尾) 천촌(川村)의 안정관리도의 파괴기준선에 대한 ML의 산정식 ${S_v=3.21exp}\{-0.48(Y_m/S_v)\}$이며, $ML_{p1}$의 산정식 ${S_v=3.173exp}\{-0.45(Y_m/S_v)\}$, $ML_{p2}$의 산정식 ${S_v=6.33exp}\{-0.45(Y_m/S_v)\}$으로 결정할 수 있다.