• 제목/요약/키워드: delta function

검색결과 742건 처리시간 0.024초

조선시대 회곽묘 출토 미이라의 안정동위원소 분석으로 생애 주기에 따른 식생활 변화 추적 (Unveiling dietary lifestyle of a Joseon-era mummy by extracting isotopic information from hair and bone)

  • 강다영;신지영
    • 분석과학
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    • 제25권5호
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    • pp.300-306
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    • 2012
  • 미라는 뼈, 머리카락, 피부, 손톱 등 서로 다른 시기를 반영하는 생체 조직분석이 가능하며, 이를 바탕으로 식생활, 환경 등 당시 생활상을 복원할 수 있는 매우 중요한 자료이다. 본 연구에서는 문경 흥덕동 회곽묘에서 출토된 조선시대 미라에서 추출한 뼈 콜라겐과 머리카락 케라틴의 탄소와 질소 안정동위원소 분석을 수행하였으며, 국내 출토 미라에 안정동위원소 분석을 적용한 첫 사례이다. 우리가 섭취하는 식료의 종류에 따라 뼈와 머리카락 등 인체 조직에는 그 특유의 탄소와 질소 안정동위원소 정보가 기록되며, 그 비율은 시간이 경과하여도 변하지 않는 것으로 알려져 있다. 특히 뼈에서 추출된 콜라겐이라는 단백질은 생애 전주기의 평균 식생활을 추적할 수 있으며, 머리카락의 케라틴의 경우 길이에 따라 죽기 전 몇 달에서 몇 년의 식생활 정보를 담고 있다. 미라 조직의 안정동위원소 분석 결과 그 평균값은 다음과 같다(뼈 콜라겐(${\delta}^{13}C$=-19.0‰, ${\delta}^{15}N$=11.4‰), 머리카락 케라틴(${\delta}^{13}C$=-21.3‰, ${\delta}^{15}N$=14.3‰). 탄소 안정동위원소 값으로부터 생애 주기 동안 주로 $C_3$ 작물 위주의 식생활을 하였다는 것을 예측할 수 있었으며, 특히 질소 안정동위원소 값의 경우 머리카락의 값이 뼈 콜라겐의 값보다 2.9‰ 높게 나타난 것으로 미루어 볼 때 생애 전반에 걸친 영양 상태보다 죽기 전 몇 달 동안 육류 섭취 등으로 인한 단백질 섭취량이 높았다는 것을 추정할 수 있었다.

유동성 및 응축성 복합레진의 점탄성에 관한 유변학적 연구 (RHEOLOGIC STUDY ON THE VISCOELASTIC PROPERTIES OF FLOWABLE AND CONDENSABLE RESIN COMPOSITES)

  • 이인복;조병훈;손호현;권혁춘;엄정문
    • Restorative Dentistry and Endodontics
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    • 제25권3호
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    • pp.359-370
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    • 2000
  • The purpose of this investigation was to observe the viscoelastic properties of five commercial flowable(Aeliteflo, Flow it, Revolution, Tetric flow, Compoglass flow), three conventional hybrid(Z-100, Z-250, P-60) and two condensable(Synergy compact, SureFil) resin composites. A dynamic oscillatory shear test was done to evaluate the storage shear modulus (G'), loss shear modulus(G"), loss tangent(tan ${\delta}$) and complex viscosity(${\eta}^*$) of the resin composites as a function of frequency - dynamic frequency sweep test from 0.01 to 100 rad/s at $25^{\circ}C$ - by using Advanced Rheometric Expansion System(ARES). To investigate the effect on the viscosity of resin composites of filler volume fraction, the filler weight % and volume % were measured by means of Archimedes' principle using a pyknometer. The results were as follows 1. The complex viscosity ${\eta}^*$ of flowable resins was lower than that of hybrid resins and significant differences were observed between brands. The complex viscosity ${\eta}^*$ of condensable resins was higher than that of hybrid resins. The order of complex viscosity ${\eta}^*$ at ${\omega}$=10 rad/s was as follows, Surefil, Synergy compact, P-60, Z-250, Z-100, Aeliteflo, Tetric flow, Compoglass flow, Flow it, Revolution. The relative complex viscosity of flowable resins compared to Z-100 was 0.04~0.56 but Surefil was 30.4 times higher than that of Z-100. 2. The storage shear modulus G' and the loss shear modulus G" of flowable resins were lower than those of hybrid resins but those of condensable resins were higher. The patterns of the change of loss tangent, tan ${\delta}$, of resin composites with increasing frequency were significantly different between brands. The phase angles, ${\delta}$, ranged from $30.2{\sim}78.1^{\circ}$ at ${\omega}$=10 rad/s. 3. All composite resins represent pseudoplastic nature with increasing shear rate. 4. The complex shear modulus $G^*$ and the phase angle ${\delta}$ was represented by the frequency domain phasor form, $G^*({\omega})=G^*e^{i{\delta}}=G^*{\angle}{\delta}$. The locus of frequency domain phasor plots in a complex plane was a valuable method that represent the viscoelastic properties of composite resins. 5. There was no direct linear correlationship but a weak positive relation was observed between filler volume % or weight % and the viscosity of the resin composites.

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작물 함유 Phytosterol의 변이와 생리활성 (Biological Activities of Phytosterols and Their Variations in Crops)

  • 김선림;박금룡;이영호;류용환
    • 한국작물학회지
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    • 제48권
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    • pp.24-30
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    • 2003
  • Plant fats and oils contain phytosterols as naturally occurring constituents, which are present in pure or esterified form, or conjugated as glycosides. The predominant phytosterol is sitosterol and minor components are campesterol, stigmasterol, $\Delta^7$-avenasterol and brassicasterol. They play a key role in cell membrane function of plants as cholesterol in animals. Phytosterols have been known for many years for their properties for reducing blood cholesterol levels, as well as their other beneficial health effects for cancer preventive biological-active substances. The objective of this paper is to present a description of the recent advances in phytosterols for future research.

집중 질량을 가진 회전하는 외팔 평판의 진동 해석 (Vibration Analysis of Rotating Cantilever Plates with a Concentrated Mass)

  • 양정식;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.181-186
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    • 1998
  • A modelling method for the vibration analysis of rotating cantilever plates with a concentrated mass is presented. The equations of motion for the rotating plates with a concentrated mass located in an arbitrary position are derived. For the modelling of the concentrated mass, a mass density Dirac delta function is used. The effects of concentrated mass and its location, angular speed, and hub radius of the rotating plate on the natural frequencies are studied. Particularly, mode shape variations due to some parameter variations are investigated.

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SOME RESULTS ON THE COMMUTATIVE PRODUCT OF DISTRIBUTIONS

  • Fisher, Brian;Nicholas, Joel-D.
    • 대한수학회보
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    • 제36권3호
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    • pp.495-502
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    • 1999
  • The commutative product of the distributions $x^r lnx and $x^{-r-1}$ is evaluated for r=0,1,2,.... The commutative product of the distributions $x^rln(x+i0) and $(x+i0)^{-r-1}$ is also evaluated for r=1,2,.... Further products are deduced.

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THE M/G/1 FEEDBACK RETRIAL QUEUE WITH TWO TYPES OF CUSTOMERS

  • Lee, Yong-Wan
    • 대한수학회보
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    • 제42권4호
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    • pp.875-887
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    • 2005
  • In M/G/1 retrial queueing system with two types of customers and feedback, we derived the joint generating function of the number of customers in two groups by using the supplementary variable method. It is shown that our results are consistent with those already known in the literature when ${\delta}_k\;=\;0(k\;=\;1,\;2),\;{\lambda}_1\;=\;0\;or\;{\lambda}_2\;=\;0$.

SERIES EXPANSIONS OF THE ANALYTIC FEYNMAN INTEGRAL FOR THE FOURIER-TYPE FUNCTIONAL

  • Lee, Il-Yong;Chung, Hyun-Soo;Chang, Seung-Jun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권2호
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    • pp.87-102
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    • 2012
  • In this paper, we consider the Fourier-type functionals introduced in [16]. We then establish the analytic Feynman integral for the Fourier-type functionals. Further, we get a series expansion of the analytic Feynman integral for the Fourier-type functional $[{\Delta}^kF]^{\^}$. We conclude by applying our series expansion to several interesting functionals.

THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

  • Kang, Buhyeon
    • 충청수학회지
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    • 제28권2호
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    • pp.269-286
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    • 2015
  • In this paper, we extend the concept of the pseudo differential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo differential operators in the Beurling's generalized distribution spaces. And we shall investigate some properties of the generalized pseudo differential operators including the generalized pseudo local property. Finally, we will study the smoothness and properly supported property of these operators.

ON THE EXISTENCE OF SOLUTIONS OF QUASILINEAR WAVE EQUATIONS WITH VISCOSITY

  • Park, Jong-Yeoul;Bae, Jeong-Ja
    • 대한수학회지
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    • 제37권3호
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    • pp.339-358
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    • 2000
  • Let be a bonded domain in N with smooth boundary . In this paper, we consider the existence of solutions of the following problem: (1.1)-div{} - + = , , , , , , where q > 1, p$\geq$1, $\delta$>0, , the Laplacian in N and is a positive function like as .

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