• 제목/요약/키워드: *-derivation

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CONSTRUCTION OF Γ-ALGEBRA AND Γ-LIE ADMISSIBLE ALGEBRAS

  • Rezaei, A.H.;Davvaz, Bijan
    • Korean Journal of Mathematics
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    • 제26권2호
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    • pp.175-189
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    • 2018
  • In this paper, at first we generalize the notion of algebra over a field. A ${\Gamma}$-algebra is an algebraic structure consisting of a vector space V, a groupoid ${\Gamma}$ together with a map from $V{\times}{\Gamma}{\times}V$ to V. Then, on every associative ${\Gamma}$-algebra V and for every ${\alpha}{{\in}}{\Gamma}$ we construct an ${\alpha}$-Lie algebra. Also, we discuss some properties about ${\Gamma}$-Lie algebras when V and ${\Gamma}$ are the sets of $m{\times}n$ and $n{\times}m$ matrices over a field F respectively. Finally, we define the notions of ${\alpha}$-derivation, ${\alpha}$-representation, ${\alpha}$-nilpotency and prove Engel theorem in this case.

대체안(代替案)의 순현재가치(純現在價値) 평가(評價)와 내부수익률(內部收益率) 유도(誘導)에 대한 연구(硏究) (The Evaluation of the Net Present Value and the Derivation of the Internal Rate of Return with the Alternatives)

  • 박상민;이근희
    • 품질경영학회지
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    • 제17권1호
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    • pp.82-88
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    • 1989
  • This paper has provided a systematic technique, the evaluation of the distribution with the NPV and the derivation of the IRR in the investment alternatives, for the cost estimating analysts, The proposals of investment alternatives are included the venture capital under risk and probabilities at each events, within the cash inflows are occuring at random timing. Therefore, we have considered the followings ; 1) the first cash outflow is deterministic, 2) the cash inflows are random variables with known distributions, 3) the lengths of the time intervals between the cash inflows are independently distributed and independent of the cash inflows. In this paper, the first two moments of the distribution, the Laplace Transforms and the convolutions are computed for both independent cash inflows and mutually exclusive alternatives as in the case of quite correlated cash inflows.

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허사 there구문의 격자질 (Case Feature in there Construction)

  • 선종철
    • 한국영어학회지:영어학
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    • 제2권2호
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    • pp.207-226
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    • 2002
  • In this paper we provide an alternative explanation for there construction, by assuming that the expletive there (EXPL) has independently uninterpretable Case feature as well as u[person], not as being pied-pipied with $\varphi$-feature. If EXPL has only u[person], we could analyse incorrectly some there constructions, including an embedded infinitive clause: by Chomsky (1998, 1999) in the construction, EXPL is ‘frozen’ and cannot participate in the computation of higher. As a result, we could predict incorrectly that the derivation is crashed. But if EXPL has two uninterpretable features, u[person] and u[Case], we could predict correctly that the derivation is converged: the u[person] of EXPL is deleted under Matching/Agree with $T_{def}$; still, the undeleted u[Case] of EXPL is activating; so EXPL can be raised to [SPEC, T] to satisfy the EPP-feature of matrix T.

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탱크모형의 매개변수 검정에 관한 연구 (A Study on Parameters-Calibration for the Tank Model)

  • 서영제
    • 한국수자원학회논문집
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    • 제30권4호
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    • pp.327-334
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    • 1997
  • 본 연구는 우리나라의 2개 하천지점에서 홍수 수문곡선 유도에 이용된 탱크모형의 매개변수를 검정하여 향후 상기 모형들이 관련 하천의 홍수예·경부에 직접 이용되도록 하는데 있다. 선정된 지점은 금강의 공주와 영산강의 나주지점이며 모형의 검정 결과 영산강의 겨우 영산강 유역개발 2단계 수문조사에서 유도된 모형의 매개변수가 비교적 타당하였으나 금강의 경우 대청 다목적댐 타당성 조사보고서에 수록된 모형의 매개변수에 10-1을 곱함으로서 실측치와 거의 일치하는 홍수 수문곡선을 얻을 수 있었다.

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SOME RESULTS ON GENERALIZED LIE IDEALS WITH DERIVATION

  • Aydin, Neset;Kaya, Kazim;Golbasi, Oznur
    • East Asian mathematical journal
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    • 제17권2호
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    • pp.225-232
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    • 2001
  • Let R be a prime ring with characteristic not two. U a (${\sigma},{\tau}$)-left Lie ideal of R and d : R$\rightarrow$R a non-zero derivation. The purpose of this paper is to invesitigate identities satisfied on prime rings. We prove the following results: (1) [d(R),a]=0$\Leftrightarrow$d([R,a])=0. (2) if $(R,a)_{{\sigma},{\tau}}$=0 then $a{\in}Z$. (3) if $(R,a)_{{\sigma},{\tau}}{\subset}C_{{\sigma},{\tau}}$ then $a{\in}Z$. (4) if $(U,a){\subset}Z$ then $a^2{\in}Z\;or\;{\sigma}(u)+{\tau}(u){\in}Z$, for all $u{\in}U$. (5) if $(U,R)_{{\sigma},{\tau}}{\subset}C_{{\sigma},{\tau}}$ then $U{\subset}Z$.

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Strong Higher Derivations on Ultraprime Banach Algebras

  • Lee, Young-Whan;Park, Kyoo-Hong
    • 충청수학회지
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    • 제7권1호
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    • pp.117-122
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    • 1994
  • In this paper we show that if {$H_n$} is a continuous strong higher derivation of order n on an ultraprime Banach algebra with a constant c, then $c||H_1||^2{\leq}4||H_2||$ and for each $1{\leq}l$ < n $$c^2||H_1||\;||H_{n-l}{\leq}6||H_n||+\frac{3}{2}\sum_{\array{i+j+k=n\\i,j,k{\geq}1}}||H_i||\;||H_j||\;||H_k||+\frac{3}{2}\sum_{\array{i+k=n\\i{\neq}l,\;n-1}}||H_i||\;||H_k|| $$ and for a strong higher derivation {$H_n$} of order n on a prime ring A we also show that if [$H_n$(x),x]=0 for all $x{\in}A$ and for every $n{\geq}1$, then A is commutative or $H_n=0$ for every $n{\geq}1$.

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신경망 알고리즘을 이용한 차체용 강판 아크 용접 조건 도출 (Proper Arc Welding Condition Derivation of Auto-body Steel by Artificial Neural Network)

  • 조정호
    • Journal of Welding and Joining
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    • 제32권2호
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    • pp.43-47
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    • 2014
  • Famous artificial neural network (ANN) is applied to predict proper process window of arc welding. Target weldment is variously combined lap joint fillet welding of automotive steel plates. ANN's system variable such as number of hidden layers, perceptrons and transfer function are carefully selected through case by case test. Input variables are welding condition and steel plate combination, for example, welding machine type, shield gas composition, current, speed and strength, thickness of base material. The number of each input variable referred in welding experiment is counted and provided to make it possible to presume the qualitative precision and limit of prediction. One of experimental process windows is excluded for predictability estimation and the rest are applied for neural network training. As expected from basic ANN theory, experimental condition composed of frequently referred input variables showed relatively more precise prediction while rarely referred set showed poorer result. As conclusion, application of ANN to arc welding process window derivation showed comparatively practical feasibility while it still needs more training for higher precision.

침수지역 주민의 피난행동의 평가와 적정 피난수심의 유도에 관한 연구 (Study on the Assessment of Refuge Behavior and the Derivation of Critical Inundation Depth)

  • 이영우;김태수;하태우;강상혁;이상호
    • 한국화재소방학회논문지
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    • 제17권4호
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    • pp.92-97
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    • 2003
  • 침수 경험이 있는 지역에 있어서 수해에 따른 인명 피해의 발생을 방지하기 위해서는 지역주민의 피난행동양식의 분석과 수방관련정보의 공개 등과 같은 적극적인 재해 대응대책이 중요하다. 피난행동을 규정하는 심리적인 영향요인에 대해서는 주민의 의식조사를 토대로 내$.$외적인 요인으로 분류하여 분석하였다. 또한 수리모형 실험을 통하여 적정 피난수심을 유도하였으며 이와 같은 노력은 금후 침수심을 고려한 피난훈련을 통하여 주민의 수해에 대한 경각심을 고취시킴으로써 효과적인 수방활동에 기여할 것이다.

Power line phasor 측정 오차 해석 연구 (Analysis of power line phasor measurement error)

  • 김병일;장태규
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.367-368
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    • 2006
  • This paper presents an analytic derivation of phase measurement error. The analysis derives the measurement error caused by the finite-bit quantization of both input signals and twiddle factors used in the recursive implementation of the phasor measurement algorithm. The derivation is based on the statistical exploration of the error dynamic equations. The effect of frequency deviation and the number of DFT points are also included in the study. The analysis results are verified with the data obtained from the computer simulation by widely varying the values of error causing factors.

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Weinberg 방정식으로 부터 Faddeev 형 방정식의 유도 (Derivation of Faddeev-Type Equation from Weinberg's Equation)

  • 유병찬
    • 대한화학회지
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    • 제16권6호
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    • pp.349-353
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    • 1972
  • 다체(4. 이상)계의 Faddeev형 방정식을 Weinberg방정식으로 부터 다른 저자들에 의한 종전의 방법보다 훨씬 간단하게 유도하였다. 유도된 Faddeev형 방정식을 matrix로 표현하였고 matrix적분방정식의 matrix kernel과 inhomogeneous term을 구성하는 방법을 규칙화 하였다. 3,4,5 체계를 예로 들어서 얻어진 규칙들을 실증하였다.

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