• East Asian mathematical journal
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• v.33 no.2
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• pp.177-197
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• 2017

The purpose of this study is to investigate and analyze the understandings of elementary pre-service teachers about 'estimation' in the elementary mathematics. Together with this analysis, we identify elementary pre-service teacher's Mathematical Pedagogical Contents Knowledge(MPCK), especially focusing to Subject Matter Knowledge(SMK). In order to this goals, we investigate contents relating to 'estimation' from $1^{st}$ curriculum to 2009 revised curriculum and compare 'rounding up', 'rounding off', 'rounding' in the elementary mathematics textbooks. As results of investigations, 'estimation' has been teaching at the 'Measurement' domain from $3^{rd}$ curriculum, but contexts of measuring weaken from $7^{th}$ curriculum. 'Rounding up(off)' is defined three types in the textbooks from $1^{st}$ to 2009 revised curriculum. And we examine elementary pre-service teachers through the questions on these 'estimation' contents. On the analysis of pre-service teacher's understanding relating MPCK, four themes is summarized as followings; the understanding of '0' in the 'rounding up', the cognitive gap between 'rounding up' and 'rounding off', the difference of percentage of correct answers according to types of question in the 'rounding up', and the difference between the definition of 'rounding up' and the definition of 'rounding'.

• Journal of Korean Society for Quality Management
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• v.16 no.1
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• pp.23-31
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• 1988

This paper studies the handling of significant digits and rounding off methods in domestic industries. ANOVA tables made by six well-known big companies are selected and analyzed. There exist various mistakes in handling of significant digits and rounding off methods such as: * too many significant digits in the Sum of Squares values in comparison to the original data * too many significant digits in the variance ratio in comparison to the F table values. * no consistancy in the number of significant digits * no consideration for the number of significant digits in computations * ignoring the KS A 0021 in rounding off methods etc. Such mistakes are caused from the characteristics of the personal computers rather than the misunderstandings about the significant digits conception. A subroutine is developed for PC in BASIC language to help the handling of significant digits and rounding off.

• Proceedings of the IEEK Conference
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• 2000.07b
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• pp.657-660
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• 2000

This paper proposes a Data-Flow-Graph (DFG) restructuring to reduce calculating errors in loop folding scheduling. The prime cause of calculating error is rounding errors due to the restriction of the operation digit of functional units. This rounding error is increased more by using multipliers than adders, so reducing the number of multiplications and putting off them as much as possible reduce rounding errors. The proposed approach reduces the number of multiplications by restructuring DFG in loop folding.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2000.11a
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• pp.624-627
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• 2000

This paper describes a local modification capability on shell meshes, which can change a 'constant or variable radius of rounding for the s h q edges of the stamping die shoulder in the mesh. The algorithm consists of the followin_e three main steps; (1) the rounding area for sharp edges of a die shoulder are detected from the given shell mesh, (2) a rolling-ball surface with a given constant or variable radius is generated, which is contacti% with two incident face groups of the sharp edges, (3) the rounding area of the mesh is cut off, and a new mesh for the rolling-ball surface is generated and implanted into the gap. Owing to this rounding modification capability, CAE engineers can examine various cases based on the existing dies by scanning them to form polyhedral models and then changing radii of die shoulders for stamping process simulation.

• Journal of Broadcast Engineering
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• v.15 no.6
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• pp.853-867
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• 2010

Recently, thumbnail techniques are required to index a high-performance video at digital convergence-based multimedia service like IPTV and DMB. Therefore a thumbnail extraction method in H.264/AVC bitstreams has been proposed. However, thumbnail quality deterioration problem at converting the general equation of spatial domain to frequency domain which is generated by not considering about H.264/AVC transform and quantization processing and rounding-off operation in intra prediction. In this paper, we propose a new thumbnail extraction method in H.264/AVC bitstreams. The proposed scheme is based on H.264/AVC core-transform for a thumbnail extraction in frequency domain, and probability theory, intra rounding-off error compensation. Through the implementation and performance evaluation, the subjective quality difference between the output of our scheme and the output of reference decoder is negligible and better than the conventional method, and moreover PSNR gain by up to 8.66 dB.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2007.11a
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• pp.89-92
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• 2007

In the present study, the flow field in a square container with various comer rounding is studied to investigate drain flow characteristics. An attempt has been made to understand the mechanism that is responsible for vortex suppressing by the different radius of rounding at the comer. For this purpose, flow visualization studies using PIV (Particle Image Velocimetry) are employed to determine the flow patterns in a square tank. Results are obtained when there is no draining and with draining. The flow field is visualized both in horizontal and vertical planes.

• Journal of Korean Society for Quality Management
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• v.14 no.1
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• pp.19-25
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• 1986

This paper studies the computer programming of statistical methods. A few computer programs are developed for * computing the basic statistics and the coefficients of process capability for raw and grouped data * drawing the frequency table and histogram * goodness of fit testing for normality with the analyses for stratifications if necessary. A special emphasis is laid on the significant digits and rounding-off for the output. A running result appears in the Appendix for a hypothetical example.

• Proceedings of the Korea Concrete Institute Conference
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• 1999.04a
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• pp.727-732
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• 1999

In this research, we made an experiment on the 10 specimen beams that we made. The specimen beams consist of 4 steel plate strengthening beams and 5 carbon fiber sheet strengthening beams. We applied the methods of notch, rounding off a edge, anchor bolt and side shear strengening to the steel plate and for the case of carbon fiber sheet, we applied the methods of anchor bolt, line anchor and shear strengthening. After all the cases were applied, the beams was measured and analyzed about the behavior property of strengthened beams, th ability of strengthening method, the relation between load and the shape of failure, the crack load, the yield load, the shape of crack pattern, the increasing rate from yield load and maximum load and the strain of rebar. All the strengthening methods resulted in almost same value until the yield load, and it wasn't quite different from the theoretical value. In comparison with existing method, the SER, SEAS for the steel plate and the CEA, CESS, CCESS for carbon fiber sheet showed the increasement of ductility with big displacement.

• Journal of Korean Society for Quality Management
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• v.19 no.1
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• pp.163-169
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• 1991

This paper studies computer programming for Two-Way Layout with Multiple Observations - Fixed Model using the subroutines of the former paper. The following items are considered in the PC computer programming: * significant digits in the computation of Sum of Squares * containing the necessary F-distribution values in the program * including the necessary estimation after the Analysis of Variance * following the rules of KS A 0021 in rounding off digits etc. The running results of Analysis of Variation Table and Estimations of a fictitious example is added with the parts of PC program. It should be mentioned that the main purpose of this paper is in the arousing of the discussion about significant digits concept in the PC computer programming for various kinds of Statistical Methods.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.52 no.8
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• pp.500-505
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• 2003

In this paper, the method to register multiple sets of skull CT images to absolute coordinate system is proposed. Contrary to correspondence paired mapping of previous techniques, four anatomical landmark points, three coplanar points and one non-coplanar point, compose three principal axes simple and unique for efficient registration by means of rigid body transformation. Throughout the numerical simulation with added random noises, the error performances in terms of different rotation and rounding-off of landmark points, and incorrect localization of anatomical landmark and target points are quantitatively analyzed to generalize the proposed technique. Experiments using real skull CT images demonstrate the feasibility for an efficient use in clinical practice.