• 산업융합연구
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• 제19권4호
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• pp.23-28
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• 2021

본 논문은 미해결 문제로 알려진 36 장교문제(n = 6)와 관련된 오일러 방진 퍼즐 게임 문제에 대해 n = [3, ∞]의 문제를 풀 수 있는 일정한 패턴 규칙을 찾고자 시도하였다. 이 문제의 해는 현재까지 [3, 10]에 대해 n = 6만 존재하지 않고 나머지 모든 숫자에 대한 해는 존재하는 것으로 알려져 있다. 또한, 기존 연구는 특정 숫자 n에 대해 컴퓨터 프로그램으로 랜덤한 배정 결과를 찾고자 하여 n = [11, ∞]에 대해서는 해를 찾기가 쉽지 않아 미해결 과제로 남아있다. 기존 연구는 n = [3, 10]으로 한정시킨 반면에, 본 논문은 n = [3, ∞]영역에서 어떠한 n의 값에 대해서도 해를 찾을 수 있는 일반화된 패턴을 찾고자 시도하였다. 본 논문에서는 n = odd, 4k even, 4k+2 even의 세 부분으로 분할하여 n = odd와 4k even(n/2 = even)에 대한 간단하면서도 일정한 패턴을 찾는데 성공하였다. 그러나 4k+2 even(n/2 = odd)에 대해서는 패턴을 찾지 못하였다.

• 대한수학회보
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• 제50권4호
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• pp.1357-1365
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• 2013

We find a lower bound on the number of real/inert imagi-nary/ramified imaginary quadratic extensions of the function field $\mathbb{F}_q(t)$ whose ideal class groups have an element of a fixed order, where $q$ is a power of 2.

• 한국전기전자재료학회논문지
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• 제12권1호
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• pp.69-74
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• 1999

We have investigated that the high pretilt angle of the NLC, 4-n-pentyl-4-cyanobiphenyl (5CB), was observed on rubbed polythiophene (PTP) surfaces with alkyl chains with more than 10 carbon atoms; it is attributed to the surface-excluded volume effect by the alkyl chain lengths between the LCs and the PTP surfaces. Next, we investigated that the odd-even effect of the polar anchoring strength in 5CB on rubbed PTP surfaces with alkyl chain lengths has been successfully evaluated. The anchoring strength of 5CB for rubbed PTP surfaces with odd-number is weak compared with even-number up to the 6 carbon atoms in the alkyl chain; however, odd-number is strong compared with even-number above 7 carbon atoms. The weak anchoring strength of 5CB is approximately $1\times10^{-3} (J/m^2$) on rubbed PTP surface with 7 carbon atoms; it is relatively strong anchoring strength. Consequently, we conclude that the odd-even effects of the polar anchoring strength in NLCs are strongly related to the characteristics of the polymer and observed clearly for short alkyl chain lengths.

• 한국수정란이식학회지
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• 제30권3호
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• pp.189-193
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• 2015

Calculating break-even price of calf production is closely associated with reproductive efficiency. To determine the price, we need data from reproduction records including number of claves weaned, number of cows exposed for breeding, and annual cash coast per cow, and average weaning or market weight of claves sold and retained. Unfortunately, the data were not available in Korea native cow (Hanwoo). To evaluate the performance and the price, we collected calving interval from about 60,000 cows for last 10 years and estimated reproductive performance. Calving interval was increased 4.3% and pregnancy rate was decreased about 1.4~2.8% year-on-year. Increases in growth rates of number of cow and semen per calf supported the low reproductive performance. Finally, break-even price was calculated using estimated percent calf crop and demonstrated that growth rate of break-even price is larger than that of annual cash per cow, suggesting cow-calf profitability and financial efficiency in Korea native cow (Hanwoo) is getting worse.

• Kyungpook Mathematical Journal
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• 제54권4호
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• pp.607-617
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• 2014

Let S = C(r,m), the finite cyclic semigroup with index r and period m. Each subsemigroup of S is cyclic if and only if either r = 1; r = 2; or r = 3 with m odd. For $r{\neq}1$, the maximum value of the minimum number of elements in a (minimal) generating set of a subsemigroup of S is 1 if r = 3 and m is odd; 2 if r = 3 and m is even; (r-1)/2 if r is odd and unequal to 3; and r/2 if r is even. The number of cyclic subsemigroups of S is $r-1+{\tau}(m)$. Formulas are also given for the number of 2-generated subsemigroups of S and the total number of subsemigroups of S. The minimal generating sets of subsemigroups of S are characterized, and the problem of counting them is analyzed.

• 한국인터넷방송통신학회논문지
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• 제18권4호
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• pp.177-182
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• 2018

최소 제동 수를 갖는 홈 앤드 어웨이 라운드-로빈 경기일정 대진표를 작성하는 문제는 매우 어려워 NP-난제로 알려져 있다. 본 논문에서는 임의의 팀 수 n에 대해서도 항상 동일한 패턴으로 경기일정 대진표를 O(n) 수행 복잡도로 컴퓨터 프로그램 도움 없이 직접 손으로 작성할 수 있는 알고리즘을 제안하였다. 제안된 알고리즘은 n=even 팀에 대해 $n{\times}n$ 정규형 라틴 방진을 작성하여 대진표를 작성하고, 최소 제동 수가 n-2 가 되도록 홈-어웨이를 배정하였다. 또한, n=odd에 대해서는 n=even 결과에서 최대 제동 수를 갖는 n번째 팀을 삭제하는 방법으로 제동이 전혀 없는 대진표를 작성하였다.

• 대한수학회지
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• 제52권4호
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• pp.751-763
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• 2015

Let ${\alpha}$ be a positive integer, and let $p_1$, $p_2$ be two distinct prime numbers with $p_1$ < $p_2$. By using elementary methods, we give two equivalent conditions of all even near-perfect numbers in the form $2^{\alpha}p_1p_2$ and $2^{\alpha}p_1^2p_2$, and obtain a lot of new near-perfect numbers which involve some special kinds of prime number pairs. One kind is exactly the new Mersenne conjecture's prime number pair. Another kind has the form $p_1=2^{{\alpha}+1}-1$ and $p_2={\frac{p^2_1+p_1+1}{3}}$, where the former is a Mersenne prime and the latter's behavior is very much like a Fermat number.

• 보건의료산업학회지
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• 제4권1호
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• pp.145-156
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• 2010

The purpose of this study is one of high price medical equipment wished to grasp propriety factor about the MRI introduction, analyzing payability through cost accounting into compensation. It was investigated from January 1 to December 31, 2007 about the MRI of a General Hospital. Expectation availability was 23.2 cases, but actual availability did achievement more than 196.1% with 45.5 items. It is estimated that there are a lot of occurrence cases because great reasons that actual availability increases more than expectation availability is excellent resolving power than a CT, and is device that prefer to reason back that radiation damage is less in person body. The followings show the main results of this study. 1. The MRI was construed in order of cost accounting, wave and personnel expenses 45.4%, administrative expenses 53.0%, and material costs 1.6%. 2. According to CVP (Cost-volume-profit) analysis, BEP (Break Even Point) profit is 173,931,428 won for 11 months, and break even usage number of items are 37.5 cases, and separation usage number of items were confirmed by 1.4 cases. Therefore, was construed that can achieve BEP within 11 months though usage number of items keeps 1.4 items day to create the MRI's hospital operation profit. 3. Estimated limit profitability appears high by 96.7%, exceed fixed charges even if when is non-benefit and when it is benefit consider variable, is judged that the MRI's addition induction helps in hospital management enhancing earning rates.

• Asian-Australasian Journal of Animal Sciences
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• 제11권1호
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• pp.65-70
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• 1998

To understand the caused for poor response to superovulation in water buffalo compared to crossbred cows, follicular events, before start of superovulation, during superovulation and after superovulation were compared. Follicular development was monitored a day before start of superovulation, daily upto superestrus and on the day of flushing. A real time B mode diagnostic instrument equipped with a linear array, 5 MHz transducer was used in five crossbred cows and five Murrah buffaloes. Crossbred cows yielded significantly (p < 0.01) higher number of corpora lutea than buffaloes (21 vs 10). The mean number of small size (2 to 5 mm); medium size (6 to 9 mm) and large size $({\geq}10mm)$ follicles, a day before start of superovulation were almost similar or even slightly higher in buffalo. Though initial shift in the mean number of follicles was higher in buffalo than cow, yet, from Day 2 to Day 3 of the treatment, the average increase in medium (3.2 vs 1.2) and large size (5.0 vs 2.0) follicles was higher in cows than buffaloes. The mean number of medium and large size follicles was 9.8 and 14.4 in cows and 6.4 and 7.6 in buffaloes. On the day of flushing, the number of large size follicle was more in buffaloes than cows, indicating the ovulation problem in this species. The major conclusion from this investigation was that, a day before start of superovulatory treatment, the number of small and medium size follicles was slightly higher in buffaloes, even then superovulatory response was better in cows, due to shift, recruitment and passage of follicles from smaller size to larger size from Day 2 of treatment. Ovulation problem in buffaloes was also responsible for lower superovulatory responses as revealed by the presence of higher number of large size follicles on the day of flushing.

• 대한화학회지
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• 제21권6호
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• pp.449-452
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• 1977

脂質 生産의 새로운 供給源으로 고려될 수 있는 石油炭化水素 醱酵에 의한 菌體脂質의 生成에 있어서 炭化水素의 炭素數의 影響과 그 脂肪酸의 組成을 檢討하였다. 菌株로서 Rhodotorula sp., 基質로서 炭素數가 짝수인 n-tetradecane과 n-hexadecane을 使用하여 容量 2l의 醱酵槽에서 溫度 $28^{\circ}C$, pH 4.0 ∼ 4.6, 酸素供給速度 0.4vvm, 攪拌速度 1000 rpm의 條件에서 醱酵시켜 生成된 菌體를 回收, 乾燥後 菌體脂質을 抽出하고 gas-liquid chromatography로 醱酵酸 組成을 檢索한 바, n-tetradecane과 n-hexadecane을 基質로 한 경우, 生成菌體의 脂質含量은 各各 12.0 및 25,8 %이었으며 菌體 脂肪酸은 大部分 炭素數가 짝수인 脂肪酸으로 構成되어 있었다.