• Title/Summary/Keyword: good extensions

Search Result 27, Processing Time 0.018 seconds

2-GOOD RINGS AND THEIR EXTENSIONS

  • Wang, Yao;Ren, Yanli
    • Bulletin of the Korean Mathematical Society
    • /
    • v.50 no.5
    • /
    • pp.1711-1723
    • /
    • 2013
  • P. V$\acute{a}$mos called a ring R 2-good if every element is the sum of two units. The ring of all $n{\times}n$ matrices over an elementary divisor ring is 2-good. A (right) self-injective von Neumann regular ring is 2-good provided it has no 2-torsion. Some of the earlier results known to us about 2-good rings (although nobody so called at those times) were due to Ehrlich, Henriksen, Fisher, Snider, Rapharl and Badawi. We continue in this paper the study of 2-good rings by several authors. We give some examples of 2-good rings and their related properties. In particular, it is shown that if R is an exchange ring with Artinian primitive factors and 2 is a unit in R, then R is 2-good. We also investigate various kinds of extensions of 2-good rings, including the polynomial extension, Nagata extension and Dorroh extension.

On the goodness of some types of fuzzy paracompactness in Sostak's fuzzy topology

  • Kim, Yong-Chan;Abbas, S.E.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.5 no.1
    • /
    • pp.64-68
    • /
    • 2005
  • We introduce in Sostak's fuzzy topological spaces definitions of paracompactness, almost paracompactness, and near paracompactness all of which turn to be good extensions of their classical topological counterparts. Fuzzy semi-paracompact, para S-closed and weakly paracompact spaces are treated to a similar approach.

Some good extensions of compactness

  • Kim, Yong-Chan;Abbas, S.E.
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.13 no.5
    • /
    • pp.614-620
    • /
    • 2003
  • The aim of this paper is to introduce good definitions of compactness, almost compactness, near compactness, weak compactness, and S-closedness in fuzzy topological spaces in Sostak s sense. These compactness related concepts are defined for arbitrary fuzzy sets and some of their properties studied.

Improved phenomenological modelling of transient thermal strains for concrete at high temperatures

  • Nielsen, Claus V.;Pearce, Chris J.;Bicanic, Nenad
    • Computers and Concrete
    • /
    • v.1 no.2
    • /
    • pp.189-209
    • /
    • 2004
  • Several extensions to the Thelandersson phenomenological model for concrete under transient high temperatures are explored. These include novel expressions for the temperature degradation of the elastic modulus and the temperature dependency of the coefficient of the free thermal strain. Furthermore, a coefficient of thermo mechanical strain is proposed as a bi-linear function of temperature. Good qualitative agreement with various test results taken from the literature is demonstrated. Further extensions include the effects of plastic straining and temperature dependent Poisson's ratio. The models performance is illustrated on several simple benchmark problems under uniaxial and biaxial stress states.

Almost paracompactness and near paracompactness in L-smooth topological spaces

  • A. A. Ramadan;S. E. Abbas;Kim, Yong-Chan
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.10 no.6
    • /
    • pp.564-568
    • /
    • 2000
  • We introduce in L-smooth topological spaces definitions of paracompactness, almost paracompactness and near paracompactness all of which turn out to be good extensions of their classical topological counterparts. These weak paracompactness are defined for arbitrary L-fuzzy sets and their properties studied.

  • PDF

An Analysis for The Ductile Crack Growth (연성 균열성장의 해석)

  • 구인회
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.14 no.1
    • /
    • pp.103-111
    • /
    • 1990
  • This paper presents a methodology for predicting stable crack growth and instability of a cracked body under monotonically increasing load. It is based on a model that incremental crack extensions and load increments after fracture initiation occur by turns in sequence and the criterion that the crack grows by an incremebt .delta.a when the opening displacement at the current crack tip increases by a critical value V$_{c}$. It is shown that the value I$_{c}$ = V$_{c}$/ .delta. a is a material constant characterizing ductile crack growth resistance. Along with the fracture initiation toughness value, the constant is used for the calculation of the loads against crack extensions by adding up each increment. The specimen failure is defined to occur when the necessary load increment for crack extension is zero or when the limit load in the current ligament is reached. The predicted failure loads are in good agreement with the avaliable experimental failure loads for the compact and center-cracked tension specimens of 7075-T651, 2024-T351 aluminum alloys and 304 stainless steel.steel.

Model selection algorithm in Gaussian process regression for computer experiments

  • Lee, Youngsaeng;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
    • /
    • v.24 no.4
    • /
    • pp.383-396
    • /
    • 2017
  • The model in our approach assumes that computer responses are a realization of a Gaussian processes superimposed on a regression model called a Gaussian process regression model (GPRM). Selecting a subset of variables or building a good reduced model in classical regression is an important process to identify variables influential to responses and for further analysis such as prediction or classification. One reason to select some variables in the prediction aspect is to prevent the over-fitting or under-fitting to data. The same reasoning and approach can be applicable to GPRM. However, only a few works on the variable selection in GPRM were done. In this paper, we propose a new algorithm to build a good prediction model among some GPRMs. It is a post-work of the algorithm that includes the Welch method suggested by previous researchers. The proposed algorithms select some non-zero regression coefficients (${\beta}^{\prime}s$) using forward and backward methods along with the Lasso guided approach. During this process, the fixed were covariance parameters (${\theta}^{\prime}s$) that were pre-selected by the Welch algorithm. We illustrated the superiority of our proposed models over the Welch method and non-selection models using four test functions and one real data example. Future extensions are also discussed.

Hydrocarbon Enthalpies of Formation from ab initio Calculations Improved Through Bond Parameters (향상된 결합 파라미터를 도입한 순이론적 탄화수소 생성엔탈피 결정)

  • Duchowicz, P.;Castro, E.A.
    • Journal of the Korean Chemical Society
    • /
    • v.43 no.6
    • /
    • pp.621-627
    • /
    • 1999
  • A new predictive scheme to calculate hydrocarbon enthalpies of formation from ab initio total energy calculations is described. The method improves a previous computation procedure (based on the total number of atoms) through the inclusion of bond parameters. Present results are good enough and the average absolute errors in the computed values of enthalpies of formation are lower than the experimental uncertainties. Some possible extensions are pointed out in order to reach definitive conclusions about the proposed methodology.

  • PDF

Free Vibration of Mannequins and Car Seat System (마네킹과 자동차 시트 시스템의 진동 해석)

  • Kim, Seong-Keol;Lee, Jae-Hyung;Park, Ki-Hong;Lee, Sin-Young;Davies, Patricia;Bajaj, Anil K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2000.06a
    • /
    • pp.1621-1626
    • /
    • 2000
  • A simplified modeling approach for occupied car seats was demonstrated to be feasible. The model, consisting of interconnected masses, springs and dampers, was initially broken down into subsystems and experiments conducted to determine approximate values for model parameters. A short study of the effect of changing model parameters on natural frequencies, mode shapes and resonance locations in frequency response functions was given, highlighting the influence of particular model parameters on features in the mannequin's vibration response. Good agreement between experimental and simulation frequency response estimates was obtained. Future work should include optimization of parameter estimates, the inclusion of viscoelastic and nonlinear elements in addition to the linear springs and dampers, and finally extensions to a 3D model.

  • PDF

Numerical analysis of RC hammer head pier cap beams extended and reinforced with CFRP plates

  • Tan, Cheng;Xu, Jia;Aboutaha, Riyad S.
    • Computers and Concrete
    • /
    • v.25 no.5
    • /
    • pp.461-470
    • /
    • 2020
  • This paper presents a numerical study on structural behavior of hammer head pier cap beams, extended on verges and reinforced with carbon fiber reinforced polymer (CFRP) plates. A 3-D finite element (FE) model along with a simplified analytical model are presented. Concrete damage plasticity (CDP) was adapted in the FE model and an analytical approach predicting the CFRP anchor strength was adapted in both FE and analytical model. Total five quarter-scaled pier cap beams with various CFRP reinforcing schemes were experimentally tested and analyzed with numerical approaches. Comparison between experimental results, FE results, analytical results and current ACI guideline predictions was presented. The FE results showed good agreement with experimental results in terms of failure mode, ultimate capacity, load-displacement response and strain distribution. In addition, the proposed strut-and-tie based analytical model provides the most accurate prediction of ultimate strength of extended cap beams among the three numerical approaches.