• Journal of the Korean Mathematical Society
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• v.52 no.4
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• pp.781-795
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• 2015

Given a positive integer n, a ring R is said to be n-semi-Armendariz if whenever $f^n=0$ for a polynomial f in one indeterminate over R, then the product (possibly with repetitions) of any n coefficients of f is equal to zero. A ring R is said to be semi-Armendariz if R is n-semi-Armendariz for every positive integer n. Semi-Armendariz rings are a generalization of Armendariz rings. We characterize when certain important matrix rings are n-semi-Armendariz, generalizing some results of Jeon, Lee and Ryu from their paper (J. Korean Math. Soc. 47 (2010), 719-733), and we answer a problem left open in that paper.

• Kyungpook Mathematical Journal
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• v.56 no.4
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• pp.1047-1067
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• 2016

In this paper, a new class of diagram algebras which are subalgebras of signed brauer algebras, called the Walled Signed Brauer algebras denoted by ${\overrightarrow{D}}_{r,s}(x)$, where $r,s{\in}{\mathbb{N}}$ and x is an indeterminate are introduced. A presentation of walled signed Brauer algebras in terms of generators and relations is given. The cellularity of a walled signed Brauer algebra is established. Finally, ${\overrightarrow{D}}_{r,s}(x)$, is quasi- hereditary if either the characteristic of a field, say p, p = 0 or p > max(r, s) and either $x {\neq}0$ or x = 0 and $r{\neq}s$.

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1003-1015
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• 2005

Klein proved that polynomial rings over nil rings of bounded index are also nil of bounded index; while Puczylowski and Smoktunowicz described the nilradical of a power series ring with an indeterminate. We extend these results to those with any set of commuting indeterminates. We also study prime radicals of power series rings over some class of rings containing the case of bounded index, finding some examples which elaborate our arguments; and we prove that R is a PI ring of bounded index then the power series ring R[[X]], with X any set of indeterminates over R, is also a PI ring of bounded index, obtaining the Klein's result for polynomial rings as a corollary.

• Journal of the Korean Society of Manufacturing Technology Engineers
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• v.22 no.4
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• pp.740-746
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• 2013

Angular contact ball bearings are often adopted for a high-speed spindle owing to their durability against axial and radial loads. The dynamic characteristics of an angular contact ball bearing, however, are very complicated because they are dependent on the applied loads as well as on the system configuration. This study systematically analyzes the radial-load-dependent characteristics of spindles as well as angular contact ball bearings. Toward this end, a spindle dynamic model along with the bearing dynamics model is established. An iterative solution algorithm is implemented to resolve the statically indeterminate problem associated with spindle-bearing systems subjected to radial load. Two numerical examples are provided to investigate the spindle and bearing characteristics as a function of radial load with regard to the system configuration.

• Korean Journal of Head & Neck Oncology
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• v.31 no.1
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• pp.1-4
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• 2015

Fine needle aspiration cytology(FNAC) holds a main role in assessing thyroid nodules. But nonnegligible rate of thyroid cytology is reported as uncertain, indeterminate or inadequate for diagnosis. Recently, the microhistologic evaluation by core needle biopsy(CNB) under ultrasound sonographical guidance has been reported to show high accuracy for the diagnose of thyroid nodules. Aim of this review was to furnish the state of the art of this topic by summarizing previous published data about indication, diagnostic performance, and complication of CNB in thyroid lesions compared with FNAC

• Journal of the Korean Society of Industry Convergence
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• v.10 no.3
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• pp.149-155
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• 2007

Damage assessment and Damage index for RC members failed in flexure was investigated by using the nonlinear finite element analysis, included with nonlocal constitutive law, which is analyzed for the localization of the failure on the post-peak region. In the nonlcal constitutive law, The local strains obtained at gauss points were averaged over a particular length, i.e. characteristic length and it was used to evaluate the damage of RC column member. As the analysis results, The value of nonlocal strain shows less mesh sensibility. In the damage assessment, It was confirmed that evaluations of damage of RC member were able to use nonlocal compressive strain on a cover concrete and a core concrete of the member. Moreover it was confirmed that damage process for the statically indeterminate structure was able to evaluate the damage context of the component members of the structure.

• Fashion & Textile Research Journal
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• v.13 no.2
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• pp.155-161
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• 2011

This thesis, concerning Femme Fatale Images Costume Form in paintings viewed from DeLong's Theory, analyzed frequency and traits on the basis of DeLong's Form Observation Theory and drew out the result as followings. First, Costume Form was mostly open, whole, planer integration, rounded, and indeterminate. The styles were similar each other. Second, surface structure was expressed by line & shape, color, texture, and pattern of which color had the highest priority. Next, line & shape and texture had the priority in order. They were expressed through intereaction. Third, the traits of Costume Form were a similar color harmony or large light and darkness contrast+soft quality+interaction by ambiguous line & shape. So, Femme Fatale Image in paintings was expressed by soft and pure images and erotic images.

• Journal of the Korean Society of Safety
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• v.18 no.1
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• pp.94-100
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• 2003

Generally, cable-stayed bridges are both statically indeterminate structure with a high degree of redundancy and flexible structure. So it is very important to ensure precision control during both fabrication and construction. In precision control of cable-stayed bridges, precision control under multi-objective programming method is needed, because precision control problem of cable-stayed bridges is a multi-objective programming problem in which many objective functions are regard as variables. In previous studies, it was regarded as a single-objective problem, so it had many problems in respect of usefulness and rationalness. In this study, precision control under multi-objective programming method is proposed considering economy, efficiency, and safety at best in precision control of cable-stayed bridges. Precision control problem of cable-stayed bridges is formulated with satisfying trade-off method which is a kind of multi-objective programming method, then it is optimized with min-max method. A computer program is presented including above process.

• Korean Institute of Interior Design Journal
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• v.13 no.2
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• pp.80-90
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• 2004

Scientism is a kind of paradigm since the birth of Modernism. Architectural design was also effected from scientism in the 1st Machine age, and being effected still In the End Machine age. But many architects in the 2nd Machine age express scientism in architectural design as a "science for kick" as SF. The design of Rem Koolhaas follows the line of Modernism which was effected from scientism in many ways. However he shows modified machine aesthetics as SF pataphysics mixed with literary imagination, and now shows new science paradigm in post-modern age. He expresses many new science theory like indeterminacy theory, chaos, catastrophe theory in his works. And those are expressed as indeterminate program that proceeds in non-linear way, rhizome in space, order out of chaos, topological metamorphosis as a catastrophe. This study analyzes the expression of scientism in architectural design of Rem Koolhaas since 1970s.nce 1970s.

• Bulletin of the Korean Mathematical Society
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• v.52 no.2
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• pp.525-530
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• 2015

Let D be an integrally closed domain with quotient field K, X be an indeterminate over D, $f=a_0+a_1X+{\cdots}+a_nX^n{\in}D[X]$ be irreducible in K[X], and $Q_f=fK[X]{\cap}D[X]$. In this paper, we show that $Q_f$ is a maximal ideal of D[X] if and only if $(\frac{a_1}{a_0},{\cdots},\frac{a_n}{a_0}){\subseteq}P$ for all nonzero prime ideals P of D; in this case, $Q_f=\frac{1}{a_0}fD[X]$. As a corollary, we have that if D is a Krull domain, then D has infinitely many height-one prime ideals if and only if each maximal ideal of D[X] has height ${\geq}2$.