• 대한수학회논문집
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• 제25권2호
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• pp.257-262
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• 2010

Let f be a $C^2$-diffeomorphism on a closed surface which satisfies the Axiom A. Then f is in the $C^2$-interior of the set of all diffeomorphisms having the inverse shadowing property with respect to the class of the continuous methods if and only if f satisfies the strong transversality condition.

• 대한수학회지
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• 제61권2호
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• pp.395-408
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• 2024

There have been numerous studies on the characteristics of the solutions of ordinary differential equations for optimization methods, including gradient descent methods and alternating direction methods of multipliers. To investigate computer simulation of ODE solutions, we need to trace pseudo-orbits by real orbits and it is called shadowing property in dynamics. In this paper, we demonstrate that the flow induced by the alternating direction methods of multipliers (ADMM) for a C² strongly convex objective function has the eventual shadowing property. For the converse, we partially answer that convexity with the eventual shadowing property guarantees a unique minimizer. In contrast, we show that the flow generated by a second-order ODE, which is related to the accelerated version of ADMM, does not have the eventual shadowing property.

• 대한수학회지
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• 제61권2호
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• pp.309-339
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• 2024

Let M be a real hypersurface in the complex hyperbolic quadric Q^m*, m ≥ 3. The Riemannian curvature tensor field R of M allows us to define a symmetric Jacobi operator with respect to the Reeb vector field ξ, which is called the structure Jacobi operator R_ξ = R( · , ξ)ξ ∈ End(TM). On the other hand, in [20], Semmelmann showed that the cyclic parallelism is equivalent to the Killing property regarding any symmetric tensor. Motivated by his result above, in this paper we consider the cyclic parallelism of the structure Jacobi operator R_ξ for a real hypersurface M in the complex hyperbolic quadric Q^m*. Furthermore, we give a complete classification of Hopf real hypersurfaces in Q^m* with such a property.

• 대한수학회논문집
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• 제8권3호
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• pp.383-387
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• 1993

• Bulletin of the Korean Chemical Society
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• 제28권10호
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• pp.1860-1862
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• 2007

• Korean Journal of Mathematics
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• 제30권1호
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• pp.147-154
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• 2022

In this article, we prove that an absolutely summing operator on 𝓛^λ₁ spaces has a lifting under the conditions that a target Banach space is a quotient of reflexive Banach subspaces.

• Journal of applied mathematics & informatics
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• 제39권3_4호
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• pp.327-338
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• 2021

In this paper, we have introduced a new notion of recurrent structure Jacobi of real hypersurfaces in complex hyperbolic two-plane Grassmannians G^*₂(ℂ^m+2). Next, we show a non-existence property of real hypersurfaces in G^*₂(ℂ^m+2) satisfying such a curvature condition.

• 정보보호학회논문지
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• 제31권5호
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• pp.875-888
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• 2021

본 논문에서는 경량 블록 암호 PIPO에 대한 인테그랄 구별자(integral distinguisher)을 탐색한 결과를 통해 8-라운드 PIPO-64/128에 대한 키 복구 공격을 수행한다. ICISC 2020에서 제안된 경량 블록 암호 PIPO는 고차 마스킹 구현을 고려한 설계를 통해 부채널 공격에 대한 저항성을 갖는 효율적인 구현이 가능하다. 동시에 차분 분석, 선형 분석 등의 다양한 분석법을 적용하여 PIPO의 안전성을 보였다. 그러나 인테그랄 공격에 대해, 5-라운드 이상의 인테그랄 구별자가 존재하지 않을 것이라고 제안되었을 뿐 인테그랄 공격에 대한 안전성 분석은 현재까지 수행된 바 없다. 본 논문에서는 MILP 기반 Division Property를 통해 PIPO에 대한 인테그랄 구별자를 탐색하는 방법을 제시하고, 기존의 결과와 달리 6-라운드 인테그랄 구별자가 존재함을 보인다. 뿐만 아니라, PIPO의 라운드 함수 구조를 활용하여 입출력에 대한 선형 변환을 고려하는 인테그랄 구별자 탐색 방법을 통해 총 136개의 6-라운드 인테그랄 구별자를 제시한다. 마지막으로, 획득한 6-라운드 인테그랄 구별자 중 4개를 이용하여 2^124.5849의 시간 복잡도와 2⁹³의 메모리 복잡도를 가지는 8-라운드 PIPO-64/128 키 복구 공격을 제안한다.

• 열처리공학회지
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• 제33권4호
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• pp.161-172
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• 2020

The tensile property of A5082 and A6060 aluminium wrought alloys was investigated, in terms of the strain rate sensitivity on alloy conditions by heat treatment and bake hardenability on pre-strain prior to strain ageing. The tensile test was carried out in a range of strain rate of 4.17 × 10^-5 s^-1 ~ 4.17 × 10^-5 s^-1 in room temperature and the nominal range of pre-strain was 3.0 ~ 10.5%. The tensile deformation of A5082 alloys is characterized as typical case of dynamic strain ageing with negative strain rate sensitivity for all conditions, and the tensile strength indicates a similar level regardless of alloy conditions, except only in full annealed condition. The stress-relief annealing on A6060 alloys can induce practical decrease in strength level of over approximately 100 MPa without any ductility loss, compared to as-rolled condition, while a full annealed and aged condition leads remarkable strengthening effect with the decrease of tensile elongation. Additionally, the bake hardenability of A5082 alloy by strain ageing indicates a negative dependence upon the increase of pre-strain, while A6060 alloy exhibits a positive sign even in low level relatively compared with conventional SPCC.

• Earthquakes and Structures
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• 제22권5호
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• pp.487-502
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• 2022

China is prone to earthquake disasters, and the higher seismic performance is required by many existing civil buildings. And seismic evaluation and retrofit are effective measures to mitigate seismic hazards. With the development of performance-based seismic design and diverse retrofit technology for buildings, advanced evaluation methods and retrofit strategies are in need. In this paper, we introduced the evolution of seismic performance objectives in China combined with performance-based seismic design. Accordingly, multi-phase evaluation methods and comprehensive seismic capacity assessment are introduced. For buildings with seismic deficiency or higher performance requirements, the retrofit technologies are categorized into three types: component strengthening, system optimization, and passive control. Both engineering property and social property for the retrofit methods are discussed. The traditional seismic retrofit methods usually are costly and disturbing, and for example in Beijing, seismic strengthening costs approx. 1000 RMB/m² (for 160 USD/m²), for hospital building even more expensive as 5000 RMB/m²(for 790 USD/m²). So cost-efficient and little disturbance methods are promising techniques. In the end, some opinions about the retrofit strategy and schemes category are shared and wish to discuss the situation and future of seismic retrofit in China.