http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
多變量 CLOSE TO CONVEX 函數의 係數들에 대하여
李埈洛 三陟大學校 1996 論文集 Vol.29 No.3
P가 개단위 Δ에서 정의된 Re{P(z)}>0인 모든 정규함수들 P(z)=1+c?z+c?z?+···의 집합이고 s가 자연수일 때 그 계수들의 관계는 |c?-c?c?| ≤2(n≥s, n=1,2,3,···)이다는 것을 이 논문에서는 증명된다.
이준락 三陟大學校 産業科學技術硏究所 2003 産業科學技術硏究論文集 Vol.8 No.1
Let β and γ be complex numbers, n a positive integer, let h be analytic in the unit disk U. This article describes conditions under which the Briot-Bouquet differential equation ◀(원본참조)▶ has analytic and univalent solutions. If h is also univalent then conditions are determined for the best dominants of the Briot-Bouquet differential subordination ◀(원본참조)▶ In addition, other differential subordinations are considered, together with applications to integral operators and to univalent functions.
이준락 三陟大學校 産業科學技術硏究所 1996 産業科學技術硏究論文集 Vol.1 No.-
실수부가 양인 함수들에 대한 잘 알려진 성질들을 이용하여 단위 개원판에서 볼록영역으로 사상되는 정규 univalent함수의 역함수의 초기 7개의 계수들이 1에 의해 제한된다는 것이 증명된다.
이준락 三陟大學校 産業科學技術硏究所 2004 産業科學技術硏究論文集 Vol.9 No.1
In this paper we describe an elementary theory which leads to a linear algorithm for solving the elliptic curve discrete logarithm problem with trace one. In practice the method described means that when choosing elliptic curves to use in cryptography one has to eliminate all curves whose group orders are equal to the order of the finite order.
이준락 三陟大學校 1999 論文集 Vol.32 No.3
The object of this paper is to prove a conjecture given by Nunokawa that if f(z) ∈ A(P) satisfies Re {1+zf''(a)/f'(z)} <p+1/2 in the unit disk U, then f(z) is p-valently starlike in U.
이준락 三陟大學校 産業科學技術硏究所 1998 産業科學技術硏究論文集 Vol.3 No.-
Our proofs are different from those offered by Prohorov. Moreover, (12) is sharper than the result obtained by Prohorov. It would be of some interest to show that (8) and (12) are sharp results. We plan to use the techniques of [14] to do just that. The computaions may be quite formidable.
유한 Dirichlet 적분을 갖는 해석함수들의 Hilbert 공간
이준락 三陟大學校 産業科學技術硏究院 2005 産業科學技術硏究論文集 Vol.10 No.-
In this paper we study the Hilbert space of analytic functions with finite Dirichlet integral in a connected open set Q in the complex plane. We show that every such function can be represented as a quotient of two bounded analytic functions, each of which has a finite Dirichlet integral, This has several consequences for the structure of invariant subspaces of the algebra of multiplication operators in the Dirichlet space, in case Q is simply connected. Namely, we show that every nontrivial invariant subspace contains a nontrivial bounded function, that each two nontrivial invariant subspaces have a nontrivial intersection (that is, the algebra is "cellular indecomposable"), and that each nontrivial invariant subspace has the "codimension one" property with respect to certain multiplication operators.
A note on primitive near-rings
이준락 강원경기수학회 2009 한국수학논문집 Vol.17 No.1
The present note is based on Wielandt's research. We generalize some of his methods and results. In particular, we present a density theorem for 0-primitive near-rings. We recall from Betsch's result some basic results on 2-primitive near-rings with identity.
이준락 三陟大學校 2005 論文集 Vol.38 No.-
타원곡선들에 기반을 둔 공개키 암호시스템이 지난 여러해 동안 연구되어왔다. 본 논문에서는, 타원곡선 암호시스템이 현존하는 공개키 방식과 같은 정도의 안정도를 가지면서 키 길이를 더 짧게 할 수 있을 가능성이 있음을 보여준다. 실질적으로 표수 2인체위에서의 타원곡선에 특별한 관심이 있다. 타원곡선을 이용한 ElGamal 암호시스템과전자지불 프로토콜이 설계된다. 마지막으로, H.Kuwakado, H. Tanaka의 알고리즘을Schnorr의 서명방식에 응용함으로써 그 전자서명을 확장하였다. Public key cryptosystems based on Elliptic curves have been studied for many years. In this thesis, we show that elliptic curve cryptosystems have the potential to provide security equivalent to that of the existing public key schemes, but with shorter key lengths. Of special interest, for practical reasons, are the curves over fields of characteristic 2. ElGamal cryptosystem and electronic payment protocol using the elliptic curve are also constructed. Finally, by applying algorithm proposed by H.Kuwakado and H. Tanaka to Schnorr 'signature scheme, we extend the digital signature.