• 한국언어정보학회지:언어와정보
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• 제15권1호
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• pp.13-29
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• 2011

Conditional sentences also can be formed by inversion of subject and auxiliary, but it happens only in a limited environment. This paper addresses grammatical constraints in conditional inversion and how they behave differently from the regular conditional clauses based on corpus investigations. Our corpus search reveals many different types of conditional inversion constructions, indicating the difficulties of deriving inverted conditionals from movement operations. In this paper, we provide a construction-based approach to the inverted conditional construction. The paper shows that the most optimal way of describing the general as well as idiosyncratic properties of the inverted conditional constructions is an account in the spirit of construction grammar in which a grammar is a repertory of constructions forming a network connected by links of inheritance.

• 대한수학회보
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• 제21권2호
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• pp.99-106
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• 1984

J. Yeh has recently introduced the concept of conditional Wiener integrals which are meant specifically the conditional expectation E$^{w}$ (Z vertical bar X) of a real or complex valued Wiener integrable functional Z conditioned by the Wiener measurable functional X on the Wiener measure space (A precise definition of the conditional Wiener integral and a brief discussion of the Wiener measure space are given in Section 2). In [3] and [4] he derived some inversion formulae for conditional Wiener integrals and evaluated some conditional Wiener integrals E$^{w}$ (Z vertical bar X) conditioned by X(x)=x(t) for a fixed t>0 and x in Wiener space. Thus E$^{w}$ (Z vertical bar X) is a real or complex valued function on R$^{1}$. In this paper we shall be concerned with the random vector X given by X(x) = (x(s$_{1}$),..,x(s$_{n}$ )) for every x in Wiener space where 0=s$_{0}$ $_{1}$<..$_{n}$ =t. In Section 3 we will evaluate some conditional Wiener integrals E$^{w}$ (Z vertical bar X) which are real or complex valued functions on the n-dimensional Euclidean space R$^{n}$ . Thus we extend Yeh's results [4] for the random variable X given by X(x)=x(t) to the random vector X given by X(x)=(x(s$_{1}$).., x(s$_{n}$ )).

• 대한수학회지
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• 제44권4호
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• pp.1025-1050
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• 2007

Let $X_k(x)=({\int}^T_o{\alpha}_1(s)dx(s),...,{\int}^T_o{\alpha}_k(s)dx(s))\;and\;X_{\tau}(x)=(x(t_1),...,x(t_k))$ on the classical Wiener space, where ${{\alpha}_1,...,{\alpha}_k}$ is an orthonormal subset of $L_2$ [0, T] and ${\tau}:0 is a partition of [0, T]. In this paper, we establish a change of scale formula for conditional Wiener integrals $E[G_{\gamma}|X_k]$ of functions on classical Wiener space having the form $$G_{\gamma}(x)=F(x){\Psi}({\int}^T_ov_1(s)dx(s),...,{\int}^T_o\;v_{\gamma}(s)dx(s))$$, for $F{\in}S\;and\;{\Psi}={\psi}+{\phi}({\psi}{\in}L_p(\mathbb{R}^{\gamma}),\;{\phi}{\in}\hat{M}(\mathbb{R}^{\gamma}))$, which need not be bounded or continuous. Here S is a Banach algebra on classical Wiener space and $\hat{M}(\mathbb{R}^{\gamma})$ is the space of Fourier transforms of measures of bounded variation over $\mathbb{R}^{\gamma}$. As results of the formula, we derive a change of scale formula for the conditional Wiener integrals $E[G_{\gamma}|X_{\tau}]\;and\;E[F|X_{\tau}]$. Finally, we show that the analytic Feynman integral of F can be expressed as a limit of a change of scale transformation of the conditional Wiener integral of F using an inversion formula which changes the conditional Wiener integral of F to an ordinary Wiener integral of F, and then we obtain another type of change of scale formula for Wiener integrals of F.

• 지구물리와물리탐사
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• 제13권1호
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• pp.31-39
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• 2010

자동속도분석의 목적은 대용량 탄성파탐사자료로부터 정확한 속도를 효율적으로 추출하는 것이다. 본 연구에서는 bootstrapped differential semblance (BDS) 방법과 몬테카를로 역산법을 이용하여 효율적인 자동속도분석 알고리듬을 개발하였다. 자동속도분석을 통해 보다 정확한 결과를 계산하기 위하여 우리가 개발된 알고리듬에서는 일반적인 셈블런스보다 높은 속도해상도를 제공하는 BDS를 일관성 측정법으로 사용한다. 게다가, 개발된 자동속도분석 알고리듬의 처리시간을 줄이고, 효율성을 증가시키기 위해 조건적으로 초기속도모델을 결정하는 단계를 추가하였다. 그리고 잘못된 피크값을 피킹하는 문제를 방지하기 위해서 새로운 RMS 속도제약조건을 선택적으로 사용하였다. 개발된 자동속도분석 모듈의 성능을 시험하기 위해서 합성탄성파탐사자료와 동해에서 취득한 현장자료에 개발된 모듈을 적용하였다. 본 연구에서 개발원 알고리듬을 통해 얻은 속도결과를 적용하여 안든 중합단면들은 일관된 반사이벤트들과 NMO보정 결과의 질이 향상된 것을 보여준다. 더욱이, 개발원 알고리듬은 구간속도제약조건을 확인하면서 구간속도를 먼저 구하고 이를 이용하여 RMS 속도를 계산하기 예문에, 지질학적으로 타당한 구간속도를 구할 수 있다. 또한, 구간속도의 경계등이 중합단면도에서 나타나는 반사이벤트들과 잘 부합된다.