• 대한수학회보
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• 제60권1호
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• pp.123-135
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• 2023

The goal of this article is to introduce the concept of pseudo-weighted Browder spectrum when the underlying Hilbert space is not necessarily separable. To attain this goal, the notion of α-pseudo-Browder operator has been introduced. The properties and the relation of the weighted spectrum, pseudo-weighted spectrum, weighted Browder spectrum, and pseudo-weighted Browder spectrum have been investigated by extending analogous properties of their corresponding essential pseudo-spectrum and essential pseudo-weighted spectrum. The weighted spectrum, pseudo-weighted spectrum, weighted Browder, and pseudo-weighted Browder spectrum of the sum of two bounded linear operators have been characterized in the case when the Hilbert space (not necessarily separable) is a direct sum of its closed invariant subspaces. This exploration ends with a characterization of the pseudo-weighted Browder spectrum of the sum of two bounded linear operators defined over the arbitrary Hilbert spaces under certain conditions.

• 전자공학회논문지
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• 제50권3호
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• pp.212-218
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• 2013

본 논문에서는 SAR (Synthetic Aperture Radar) 영상에 SVD (Singular Value Decomposition) - Pseudo Spectrum 알고리즘을 적용하고 그 성능을 기존 알고리즘과 비교한다. 이 논문의 목적은 SAR 영상의 해상도 및 목표물 분해능을 높이고자 하는 것이다. 본 논문에서는 신호 성분으로 이루어진 Hankel Matrix와 SVD (Singular Value Decomposition) 방법을 사용하여 잡음에 강인하고 sidelobe이 적으며 스펙트럼 추정에서 해상도를 높인 SVD-Pseudo Spectrum 방법을 제안하였다. 또한 분해될 목표물을 모델링하여 알고리즘의 성능을 분석하고 SVD-Pseudo Spectrum 방법이 기존의 퓨리에 변환 기반 방법과 고해상도 기술 기반의 MUSIC 방법보다 더 좋은 성능을 가짐을 보인다.

• 대한수학회논문집
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• 제33권3호
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• pp.853-869
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• 2018

We give a new characterization of Browder's theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under which pseudo B-Fredholm and pseudo B-Weyl spectrum introduced in [9] and [25] become stable under commuting Riesz perturbations.

• 대한수학회논문집
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• 제32권3호
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• pp.553-563
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• 2017

Different topological dimensions related to the pseudo-prime spectrum of topological modules are studied. An example of topological modules is introduced. Also, we give a result about Noetherianness of the pseudo-prime spectrum of topological modules.

• Structural Engineering and Mechanics
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• 제41권6호
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• pp.759-773
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• 2012

The objective of this paper is to present an energy-based method for calculating target displacement of RC structures. The method, which uses the Newmark-Hall pseudo-velocity spectrum, is called the "Pseudo-velocity Spectrum (PSVS) Method". The method is based on the energy balance concept that uses the equality of energy demand and energy capacity of the structure. First, nonlinear static analyses are performed for five, eight and ten-story RC frame structures and pushover curves are obtained. Then the pushover curves are converted to energy capacity diagrams. Seven strong ground motions that were recorded at different soil sites in Turkey are used to obtain the pseudo-acceleration and the pseudo-velocity response spectra. Later, the response spectra are idealised with the Newmark-Hall approximation. Afterwards, energy demands for the RC structures are calculated using the idealised pseudo-velocity spectrum. The displacements, obtained from the energy capacity diagrams that fit to the energy demand values of the RC structures, are accepted as the energy-based performance point of the structures. Consequently, the target displacement values determined from the PSVS Method are checked using the displacement-based successive approach in the Turkish Seismic Design Code. The results show that the target displacements of RC frame structures obtained from the PSVS Method are very close to the values calculated by the approach given in the Turkish Seismic Design Code.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1989년도 봄 학술발표회 논문집
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• pp.5-10
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• 1989

In this study, the basic concept of design response spectrum is briefly revi-ewed. To generate the artificial earthquake acceleration, the method of superpo-sition of cosine waves is used. Theoretical developments using F.F.T. and spect-ral density function are compared. The amplitude was derived by use of the peak factor and the phase angle is d-erived by use of Monte Carlo simulation. To smoothen the match, the calculated pseudo velocity respon-se spectrum is compared with input pseudo velocity response spectrum at a set of control frequencies. With the modified spectral density function, a new acceleration and pseudo velocity response spectrum are generat-ed.

• Near Infrared Analysis
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• 제1권2호
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• pp.1-8
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• 2000

Using the net analyte signal, hybrid linear analysis was proposed to predict chemical concentration. In this paper, we select a sample from training set and apply orthogonal signal correction to obtain an improved pseudo unit spectrum for hybrid least analysis. using the mean spectrum of a calibration training set, we first show the calibration by hybrid least analysis is effective to the prediction of not only chemical concentrations but also physical property variables. Then, a pseudo unit spectrum from a training set is also tested with and without orthogonal signal correction. We use two data sets, one including five chemical concentrations and the other including ten physical property variables, to compare the performance of partial least squares and modified hybrid least analysis calibration methods. The results show that the hybrid least analysis with a selected training spectrum instead of well-measured pure spectrum still gives good performances, which is a little better than partial least squares.

• 대한수학회논문집
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• 제33권3호
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• pp.809-821
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• 2018

In the present paper, we extend the main results of Jeribi in [6] to weighted and pseudo-weighted spectra of operators in a nonseparable Hilbert space ${\mathcal{H}}$. We investigate the characterization, the stability and some properties of these weighted and pseudo-weighted spectra.

• 한국자기학회지
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• 제4권2호
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• pp.130-134
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• 1994

본 연구에서는 MIG 헤드의 재생 전압 스펙트럼에 나타나는 Bump들의 발생 원인을 설명하고, 이론적으로 예상된 주파수에서 Bump들의 진폭을 컴퓨터로 시뮬레이션 하였다. MIG 헤드의 센더스트와 페라이트 사이의 가상 갭(pseudo gap)이 없는 경우와 양쪽 모두 $0.02\;\mu\textrm{m},\;0.2\;\mu\textrm{m}$, 인 가상 갭을 갖는 3가지 종류의 MIG 헤드들을 설정하고, 금속 분말(Metal Powder) 테입을 사용한 것으로 가정하였다. 시뮬레이션 결과, 이론적으로 예상한 주파수에서 Bump들이 발생하였으며, Bump 진폭 또한 예상치와 거의 일치하였다.

• 대한수학회논문집
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• 제38권1호
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• pp.1-9
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• 2023

An le-module M over a commutative ring R is a complete lattice ordered additive monoid (M, ⩽, +) having the greatest element e together with a module like action of R. This article characterizes the le-modules _RM such that the pseudo-prime spectrum X_M endowed with the Zariski topology is a Noetherian topological space. If the ring R is Noetherian and the pseudo-prime radical of every submodule elements of _RM coincides with its Zariski radical, then X_M is a Noetherian topological space. Also we prove that if R is Noetherian and for every submodule element n of M there is an ideal I of R such that V (n) = V (Ie), then the topological space X_M is spectral.