• 제목/요약/키워드: Prime.

검색결과 3,021건 처리시간 0.028초

SYMMETRIC BI-DERIVATIONS IN PRIME RINGS

  • Jung, Yong-Soo
    • Journal of applied mathematics & informatics
    • /
    • 제5권3호
    • /
    • pp.819-826
    • /
    • 1998
  • The purpose of this paper is to prove the following results; (1) Let R be a prime ring of char $(R)\neq 2$ and I a nonzero left ideal of R. The existence of a nonzero symmetric bi-derivation D : $R\timesR\;\longrightarrow\;$ such that d is sew-commuting on I where d is the trace of D forces R to be commutative (2) Let m and n be integers with $m\;\neq\;0.\;or\;n\neq\;0$. Let R be a noncommutative prime ring of char$ (R))\neq \; 2-1\; p_1 \;n_1$ where p is a prime number which is a divisor of m, and I a nonzero two-sided ideal of R. Let $D_1$ ; $R\;\times\;R\;\longrightarrow\;and\;$ $D_2\;:\;R\;\times\;R\;longrightarrow\;R$ be symmetric bi-derivations. Suppose further that there exists a symmetric bi-additive mapping B ; $R\;\times\;R\;\longrightarrow\;and\;$ such that $md_1(\chi)\chi + n\chi d_2(\chi)=f(\chi$) holds for all $\chi$$\in$I, where $d_1 \;and\; d_2$ are the traces of $D_1 \;and\; D_2$ respectively and f is the trace of B. Then we have $D_1=0 \;and\; D_2=0$.

회로 최소화를 위한 개선된 Quine-McCluskey 알고리즘 (An Improved Quine-McCluskey Algorithm for Circuit Minimization)

  • 이상운
    • 한국컴퓨터정보학회논문지
    • /
    • 제19권3호
    • /
    • pp.109-117
    • /
    • 2014
  • 본 논문은 회로 최소화 문제에 대한 Quine-McCluskey 법을 개선한 알고리즘을 제안하였다. Quine-McCluskey 법은 주 내포 항을 반복적인 방법으로 찾고, 회로 최소화 방법으로 시행착오법, 분기한정법 또는 Petrick 법을 적용한다. 반면에 제안된 알고리즘은 사전에 항표를 생성하여 주 내포 항을 간단히 찾는 방법을 제안하였으며, 집합피복을 결정하는 방법을 적용하여 1차와 2차 필수 주 내포 항을 간단히 찾는 방법을 제안하였다. 3-변수와 4-변수 실험 데이터에 적용한 결과 제안된 알고리즘이 Quine-McCluskey 법에 비해 보다 간단하면서도 정확히 해를 구할 수 있었다.

Ag 첨가가 7050 Al합금의 기계적 성질에 미치는 영향 (Effect of Ag Addition on the Mechanical Properties of 7050 Al Alloy)

  • 곽서희;정영훈;권숙인;조권구;신명철
    • 열처리공학회지
    • /
    • 제12권2호
    • /
    • pp.129-135
    • /
    • 1999
  • The effects of Ag addition on the microstructures and mechanical properties of 7050 Al alloy were investigated. Various homogenizing and aging treatments were carried out to analyze the controversial effects of Ag in 7050 Al alloy. Transmission electron microscopy(TEM) was used for microstructural analysis. The hardening precipitates(${\eta}^{\prime}$) become finer with Ag addition. It suggests that Ag promotes easier nucleation of ${\eta}{\prime}$. The strength of overaged Ag bearing alloys are higher than that of Ag free alloy. Hardening precipitates(${\eta}^{\prime}$) in Ag bearing alloys are smaller than that of Ag free alloys, because the growth rate of ${\eta}^{\prime}$ during overaging stage is lower in Ag bearing alloys.

  • PDF

'문화적' 소수: 2, 3, 5 ('Cultural' Prime Numbers: 2, 3, and 5)

  • 배선복;박창균
    • 한국수학사학회지
    • /
    • 제27권3호
    • /
    • pp.183-195
    • /
    • 2014
  • In mathematics a prime number is the natural number that has no positive factors other than 1 and itself. As natural numbers greater than 1 can be factored characterized by prime numbers, identities of a culture could be understood if its cultural phenomena are analyzed through cultural prime numbers(CPN). It is not easy to resolve cultural phenomena into CPN and analyze them through CPN due to complexities of culture. Though it is difficult, however, it is not impossible. For CPN keeps relative independence in the context of history and thought. We call 2, 3 and 5 as CPN: 2 is representative of Yin and Yang theory, 3 of Three Principles theory, and 5 of Five Elements theory. We argue that the Ten Celestial Stems and the Twelve Earthly Branches, the core principles in the oriental tradition, could be factored by the CPN. Analyzing Sil-Hah Woo's arguments, we discuss that the CNP 3 achieved more qualitative valuation than the others in Korean culture.

근육의 지속적인 등척성 수축시의 다 채널 근전도 해석 (An Analysis of Multichannel EMG in Continuous Isometric Contraction of Human Muscle)

  • 이승주;김기영;윤재현;이현철;윤양웅;박형준
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2002년도 하계학술대회 논문집 D
    • /
    • pp.2696-2698
    • /
    • 2002
  • In this study, the comparison of the contractile states change at prime mover muscle with that at synergist muscle was executed, while the muscle contracted continuously with isometric contraction. The contractile states of muscle becomes to change when the voluntary contraction of skeletal muscle is progressed continuously. Such the contractile states change is divided into three states in consideration for not only physiological change but also the psychological change by CNS(central nervous system) as "stable state", "fatigue state" and "pain state". As a result of this study, the prime mover muscle is reached "pain state" but the synergist muscle is not reached. Namely the synergist muscle is delayed state than the prime mover muscle. This result judged that although the prime mover muscle have reached a limit when contraction is continued, owing to effect of delayed state of the synergist muscle, the prime mover muscle is endured some more contraction.

  • PDF

MINIMAL P-SPACES

  • Arya, S.P.;Bhamini, M.P.
    • Kyungpook Mathematical Journal
    • /
    • 제27권1호
    • /
    • pp.27-33
    • /
    • 1987
  • Minimal s-Urysohn and minimal s-regular spaces are studied. An s-Urysohn (respectively, s-regular) space (X, $\mathfrak{T}$) is said to be minimal s-Urysohn (respectively, minimal s-regular) if for no topology $\mathfrak{T}^{\prime}$ on X which is strictly weaker than $\mathfrak{T}$, (X, $\mathfrak{T}^{\prime}$) is s-Urysohn (respectively s-regular). Several characterizations and other related properties of these classes of spaces have been obtained. The present paper is a study of minimal P-spaces where P refers to the property of being an s-Urysohn space or an s-regular space. A P-space (X, $\mathfrak{T}$) is said to be minimal P if for no topology $\mathfrak{T}^{\prime}$ on X such that $\mathfrak{T}^{\prime}$ is strictly weaker than $\mathfrak{T}$, (X, $\mathfrak{T}^{\prime}$) has the property P. A space X is said to be s-Urysohn [2] if for any two distinct points x and y of X there exist semi-open set U and V containing x and y respectively such that $clU{\bigcap}clV={\phi}$, where clU denotes the closure of U. A space X is said to be s-regular [6] if for any point x and a closed set F not containing x there exist disjoint semi-open sets U and V such that $x{\in}U$ and $F{\subseteq}V$. Throughout the paper the spaces are assumed to be Hausdorff.

  • PDF

급냉응고된 AI-Li-Cu-Mg-Zr 합금의 시효거동 (Aging Behaviors of a Rapidly Solidified Al-Li-Cu-Mg-Zr Alloy)

  • 남동회;홍영준;정해용;배차헌;김인배
    • 열처리공학회지
    • /
    • 제4권2호
    • /
    • pp.38-46
    • /
    • 1991
  • Effects of aging treatment on the microstructures and microhardness of a rapidly solidified Al-Li-Cu-Mg-Zr alloy were investigated by differential scanning calorimetry(DSC) and transmission electron microscopy(TEM). The as-melt-spun ribbon was consisted of fine ${\delta}^{\prime}$ and icosahedral intermetallic compound which were precipitated in the matrix. Two exothermic peaks with the range of $120^{\circ}C-190^{\circ}C$ and $280^{\circ}C-344^{\circ}C$ corresponded to ${\delta}^{\prime}$ and ${\theta}^{\prime}$, S', $T_1$ precipitating reaction respectively, and two endothermic peaks with the range of $190^{\circ}C-280^{\circ}C$ and $344^{\circ}C-550^{\circ}C$ corresponded to dissolution of ${\delta}^{\prime}$ and ${\theta}^{\prime}$, S', $T_1$ respectively in DSC curves. Peak hardness value was obtained at $210^{\circ}C$ for 1 hr aging treatment.

  • PDF

A형 독감을 동반한 쇼그렌 증후군 환자에 대한 한의치료 1례 (A Case Report of Sjögren's Syndrome with Influenza A Virus Infection Treated with Korean Medicine)

  • 이기향;전상우;강세영
    • 대한한방내과학회지
    • /
    • 제40권5호
    • /
    • pp.1007-1013
    • /
    • 2019
  • Objectives: The purpose of this study was to report the treatment of a patient suffering from $Sj{\ddot{o}}gren^{\prime}s$ Syndrome with influenza A virus infection with Korean medicine. Methods: We used herbal medicine, acupuncture, and moxibustion to treat a patient during hospitalization. We observed the changes in symptoms using the European League against Rheumatism $Sj{\ddot{o}}gren^{\prime}s$ Syndrome Patient Reports Index (ESSPRI) and a visual analogue scale (VAS). Results: After treatment for 17 days, the patient's symptoms showed improvement in joint pain, dry eye, and dry mouth. The ESSPRI score was decreased from 10 to 5.3. The VAS for dry mouth and dry eye were decreased from 10 to 6 and from 10 to 5, respectively. Conclusion: This clinical case study suggests that Korean medicine treatment that includes Insamyangyoung-tang-gami could be effective in the treatment of $Sj{\ddot{o}}gren^{\prime}s$ Syndrome.

치과임플란트용 Ti-25Ta-xHf 합금의 플라즈마 전해 산화 (Plasma Electrolytic Oxidation of Ti-25Ta-xHf for Dental Implants)

  • 김정재;최한철
    • 한국표면공학회지
    • /
    • 제51권6호
    • /
    • pp.344-353
    • /
    • 2018
  • Plasma electrolytic oxidation of Ti-25Ta-xHf alloy in electrolyte containing Ca and P for dental implants was investigated using various experimental techniques. Ti-25Ta-xHf (x=0 and 15 wt.%) alloys were manufactured in an arc-melting vacuum furnace. Micropores were formed in PEO films on Ti-25Ta-xHf alloys in 0.15 M calcium acetate monohydrate + 0.02 M calcium glycerophosphate at 240 V, 270 V and 300 V for 3 min, respectively. The microstructure of Ti-25Ta-xHf alloys changed from (${\alpha}^{\prime}+{\alpha}^{{\prime}{\prime}}$) phase to (${\alpha}^{{\prime}{\prime}}+{\beta}$) phase by addition of Hf. As the applied potential increased, the number of pore and the area ratio of occupied by micro-pore decreased, whereas the pore size increased. The anatase phase increase as the applied potential increased. Also, the crystallite size of anatase-$TiO_2$ can be controlled by applied voltage.

가공유기 마르텐사이트 변태를 갖는 합금의 감쇠능에 미치는 가공열처리의 영향 (Effect of Thermo-Mechanical Treatment on the Damping Capacity of Alloy with Deformation Induced Martensite Transformation)

  • 한현성;강창룡
    • 한국재료학회지
    • /
    • 제29권3호
    • /
    • pp.160-166
    • /
    • 2019
  • This study investigates the effect of thermo-mechanical treatment on the damping capacity of the Fe-20Mn-12Cr-3Ni-3Si alloy with deformation induced martensite transformation. Dislocation, ${\alpha}^{\prime}$ and ${\varepsilon}-martensite$ are formed, and the grain size is refined by deformation and thermo-mechanical treatment. With an increasing number cycles in the thermo-mechanical treatment, the volume fraction of ${\varepsilon}-martensite$ increases and then decreases, whereas dislocation and ${\alpha}^{\prime}-martensite$ increases, and the grain size is refined. In thermo-mechanical treated specimens with five cycles, more than 10 % of the volume fraction of ${\varepsilon}-martensite$ and less than 3 % of the volume fraction of ${\alpha}^{\prime}-martensite$ are attained. Damping capacity decreases by thermo-mechanical treatment and with an increasing number of cycles of thermo-mechanical treatment, and this result shows an opposite tendency for general metal with deformation induced martensite transformation. The damping capacity of the thermo-mechanical treated damping alloy with deformation induced martensite transformation greatly affect the formation of dislocation, grain refining and ${\alpha}^{\prime}-martensite$ and then ${\varepsilon}-martensite$ formation by thermo-mechanical treatment.