• 제목/요약/키워드: Formula type

검색결과 765건 처리시간 0.027초

CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT OVER WIENER PATHS IN ABSTRACT WIENER SPACE: AN Lp THEORY

  • Cho, Dong-Hyun
    • 대한수학회지
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    • 제41권2호
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    • pp.265-294
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    • 2004
  • In this paper, using a simple formula, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products of cylinder type functions, and show that the conditional Fourier-Feynman transform of the conditional convolution product is expressed as a product of the conditional Fourier-Feynman transforms. Also, we evaluate the conditional Fourier-Feynman transforms of the functions of the forms exp {$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}$\Phi$($\chi$(T)), exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}$\Phi$($\chi$(T)) which are of interest in Feynman integration theories and quantum mechanics.

평행 결합선로 이론에 근거한 새로운 집중 소자형 방향성 결합기 해석 및 설계 (Design of a Novel Lumped Element Backward Directional Coupler Based on Parallel Coupled-Line Theory)

  • 송택영;이상현;김영태;천창율;박준석
    • 한국전자파학회:학술대회논문집
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    • 한국전자파학회 2002년도 종합학술발표회 논문집 Vol.12 No.1
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    • pp.157-160
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    • 2002
  • In this paper, a novel lumped equivalent circuit for a conventional parallel directional coupler is proposed. The equivalent circuit and design formula for the presented lumped element coupler is derived based on the even-and odd-mode properties of a parallel-coupled line. By using the derived design formula, we have designed the 3㏈ and 10㏈ lumped element directional couplers at the center frequency of 100Mhz. Furthermore, a chip type directional coupler has been designed to fabricate with multilayer configurations by employing the Low Temperature CofiredCeramic (LTCC) process. Designed chip-type directional coupler has a 10㏈-coupling value at the center frequency of 2㎓. Excellent agreements between simulations and measurements on the designed directional couplers show the validity of this paper

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CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

  • Seo, Jong Jin
    • 충청수학회지
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    • 제26권1호
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    • pp.231-242
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    • 2013
  • In this work, we deal with $q$-Genocchi numbers and polynomials. We derive not only new but also interesting properties of the $q$-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the $q$-Genocchi polynomials and derive distribution formula for the $q$-Genocchi polynomials. In the final part, we introduce a definition of $q$-Zeta-type function which is interpolation function of the $q$-Genocchi polynomials at negative integers which we express in the present paper.

하이브리드형 선형 펄스모터의 정추력 및 동추력 분석 (Analysis the static thrust force and dynamic thrust force in HB-type Linear Pulse Motor)

  • 김동희;안재영;김광헌
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2007년도 하계학술대회 논문집
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    • pp.214-216
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    • 2007
  • The linear motor is available for linear transition motion, because of its advantages, the motor design and its application have gradually increased, but the quantitative measurement system of thrust force has not been generalized. Need analysis of correct thrust for control performance improvement of HB-LPM(HB-type Linear Pulse Motor). It is difficult to analyze HB-LPM's thrust. In this paper, HB-LPM's thrust is expressed to mathematical expression. And it is proved validity of this numerical formula by thrust measurement system. Two phase driver is composed. It is verified validity of numerical formula that measure waveform of electric current and voltage that is supplied in each phase.

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회귀분석법에 의한 선박 소음 예측에 관한 연구 (Application of Multiple Regression Method to Prediction of Noise Level in Ship Cabins)

  • 김동해;정균양
    • 대한조선학회논문집
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    • 제31권3호
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    • pp.112-118
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    • 1994
  • 본 연구에서는 선박의 초기 설계시에 비교적 간단한 자료로 각 선실에서의 소음수준을 예측하기 위한 방법으로 다중 회귀 분석법에 근거한 통계적 접근을 시도하였다. 선실에서의 소음수준에 영향을 미치는 여러 변수중에서, 선종, 재화중량, 주기관과 선실의 위치, 거주구 형상, 선실의 종류 및 프로펠러 스큐등이 최종 회귀식에 포함되었다. 회귀식의 추출시 사용하지 않은 6척 210개 선실에 대하여 검증을 실시한 결과, 77%의 선실이 3 dB 이내의 오차범위에 있음을 확인하였다.

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소시호탕(小柴胡湯)의 복합적(複合的) 효능(效能)에 대한 고찰(考察) (A Study on the Complex Efficacy of Sosihotang)

  • 백유상
    • 대한한의학원전학회지
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    • 제27권2호
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    • pp.137-152
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    • 2014
  • Objectives : Through the study on the complex efficacy of Sosihotang(小柴胡湯), it would be expected to comprehend the concept of diseases and syndromes that will be treated and principle of composing formula. Methods : It has been done to compare and analyse provisions of Shanghanlun related with Sosihotang(小柴胡湯). Results : Sosihotang(小柴胡湯) is fit to treat symptoms based on diseases having half exterior and half interior, deficiency and excess syndromes, because it is well-composed to focus on Soyangbyeong(少陽病) and Sosihotang(小柴胡湯) syndrome caused from lose of homeostasis in human body. Conclusions : Sosihotang(小柴胡湯) is one of the multipurpose formula that can be used to treat the syndromes and diseases of exterior and interionr(表裏), cold and heat(寒熱), deficiency and excess(虛實). Therefore it is necessary to research and develop the formula with the type.

THE INVERSION FORMULA OF THE STIELTJES TRANSFORM OF SPECTRAL DISTRIBUTION

  • Choi, Sang-Il
    • 충청수학회지
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    • 제22권3호
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    • pp.519-524
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    • 2009
  • In multivariate analysis, the inversion formula of the Stieltjes transform is used to find the density of a spectral distribution of random matrices of sample covariance type. Let $B_{n}\;=\;\frac{1}{n}Y_{m}^{T}T_{m}Y_{m}$ where $Ym\;=\;[Y_{ij}]_{m{\times}n}$ is with independent, identically distributed entries and $T_m$ is an $m{\times}m$ symmetric nonnegative definite random matrix independent of the $Y_{ij}{^{\prime}}s$. In the present paper, using the inversion formula of the Stieltjes transform, we will find the density function of the limiting distribution of $B_n$ away from zero.

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Levy-Swaption 가치 평가 모형 (Levy-Type Swaption Pricing Model)

  • 이준희;박종우
    • 경영과학
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    • 제25권3호
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    • pp.1-12
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    • 2008
  • The Swaption is one of the popular Interest rates derivatives. In spite of such a popularity, the swaption pricing formula is hard to derived within the theoretical consistency. Most of swaption pricing model are heavily depending on the simulation technique. We present a new class of swaption model based on the multi-factor HJM levy-mixture model. A key contribution of this paper is to provide a generalized swaption pricing formula encompassing many market stylize facts. We provide an approximated closed form solution of the swaption price using the Gram-Charlier expansion. Specifically, the solution form is similar to the market models, since our approximation is based on the Lognormal distribution. It can be directly compared with the traditional Black's formula when the size of third and fourth moments are not so large. The proposed extended levy model is also expected to be capable of producing the volatility smiles and skewness.

土炭흄酸의 性狀및 應用에 關한 硏究 (第 2 報) 흄酸의 性狀 (Studies on the Characteristics of Humic Acid and its Utilizations. (II) Characteristics of humic acid (Molecular weight, molecular and rational formula. Structure))

  • 김원택
    • 대한화학회지
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    • 제13권1호
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    • pp.56-61
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    • 1969
  • By the chemical procedure and infra-red spectroscopy, the characteristics of humic acid were studied. The results were as follows: 1. Molecular weight. 5,200. 2. Molecular formula. $C_{240}H_{250}O_{120}N_{1O}$. 3. Rational formula. 4. Confirmation of the accurate structure of humic acid is beyond us nowadays. The structure is speculated that it may be a kind of condensed polymer of many benzene kerns in which above mentioned various functional groups are attached. Also some part of the large quantities of oxygen would be furan type carbonyl and aliphatic ethereal forms.

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Amino Acid-Based Formula in Premature Infants with Feeding Intolerance: Comparison of Fecal Calprotectin Level

  • Jang, Hyo-Jeong;Park, Jae Hyun;Kim, Chun Soo;Lee, Sang Lak;Lee, Won Mok
    • Pediatric Gastroenterology, Hepatology & Nutrition
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    • 제21권3호
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    • pp.189-195
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    • 2018
  • Purpose: We investigated fecal calprotectin (FC) levels in preterm infants with and without feeding intolerance (FI), and compared the FC levels according to the type of feeding. Methods: The medical records of 67 premature infants were reviewed retrospectively. The fully enteral-fed infants were classified into two groups; the FI group (29 infants) and the control group (31 infants). Seven infants with necrotizing enterocolitis, sepsis, and perinatal asphyxia were excluded. If breast milk (BM) or preterm formula (PF) could not be tolerated by infants with FI, amino acid-based formula (AAF) was tried temporarily. Once FI improved, AAF was discontinued, and BM or PF was resumed. We investigated the FC levels according to the type of feeding. Results: Significant differences were found in gestational age, birth weight, age when full enteral feeding was achieved, and hospital stay between the FI and control group (p<0.05). The FC levels in the FI group were significantly higher than those in the control group (p<0.05). The FC levels in the AAF-fed infants with FI were significantly lower than those in the BM- or PF-fed infants (p<0.05). The growth velocities (g/d) and z scores were not significantly different between the FI and control group (p>0.05). Conclusion: The FC levels in AAF-fed infants with FI showed significantly lower than those in the BM- or PF-fed infants with FI. The mitigation of gut inflammation through the decrease of FC levels in AAF-fed infants with FI could be presumed.