• Journal of the Korean Statistical Society
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• v.27 no.3
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• pp.289-303
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• 1998

For square contingency tables with ordered categories, Tomizawa (1995) considered two kinds of measures to represent the degree of departure from global symmetry, which means that the probability that an observation will fall in one of cells in the upper-right triangle of square table is equal to the probability that the observation falls in one of cells in the lower-left triangle of it. This paper proposes a generalization of those measures. The proposed measure is expressed by using Cressie and Read's (1984) power divergence or Patil and Taillie's (1982) diversity index. Special cases of the proposed measure include TomiBawa's measures. The proposed measure would be useful for comparing the degree of departure from global symmetry in several tables.

• Journal of the Korean Mathematical Society
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• v.36 no.4
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• pp.787-811
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• 1999

Let M be the maximal ideal space of the Banach algebra $H^{\infty}$ of bounded analytic functions on the open unit disc $\triangle$. For a positive singular measure ${\mu}\;on\;{\partial\triangle},\;let\;{L_{+}}^1(\mu)$ be the set of measures v with $0\;{\leq}\;{\nu}\;{\ll}\;{\mu}\;and\;{{\psi}_{\nu}}$ the associated singular inner functions. Let $R(\mu)\;and\;R_0(\mu)$ be the union sets of $\{$\mid$\psiv$\mid$\;<\;1\}\;and\;\{$\mid${\psi}_{\nu}$\mid$\;<\;0\}\;in\;M\;{\setminus}\;{\triangle},\;{\nu}\;\in\;{L_{+}}^1(\mu)$, respectively. It is proved that if $S(\mu)\;=\;{\partial\triangle}$, where $S(\mu)$ is the closed support set of $\mu$, then $R(\mu)\;=\;R0(\mu)\;=\;M{\setminus}({\triangle}\;{\cup}\;M(L^{\infty}(\partial\triangle)))$ is generated by $H^{\infty}\;and\;\overline{\psi_{\nu}},\;{\nu}\;{\in}\;{L_1}^{+}(\mu)$. It is proved that %d{\theta}(S(\mu))\;=\;0$ if and only if there exists as Blaschke product b with zeros $\{Zn\}_n$ such that $R(\mu)\;{\subset}\;{$\mid$b$\mid$\;<\;1}\;and\;S(\mu)$ coincides with the set of cluster points of $\{Zn\}_n$. While, we proved that $\mu$ is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{$\mid${\psi}_{\lambda}$\mid$\;<\;1}\;and\;S(\lambda)\;=\;S(\mu)$. Also it is studied conditions on \mu for which $R(\mu)\;=\;R0(\mu)$.

• Journal of Institute of Control, Robotics and Systems
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• v.18 no.8
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• pp.725-730
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• 2012

In this paper, we propose the localization algorithm for the cooperative behavior of the swarm robots based on WSN (Wireless Sensor Network). The proposed method is as follows: First, we measure positions of the L-bot (Leader robot) and F-bots (Follower robots) by using the APIT (Approximate Point In Triangle) and the RSSI (Received Signal Strength Indication). Second, we measure relative positions of the F-bots against the pre-measured position of the L-bot by using trilateration. Then, to revise a position error caused by noise of the wireless signal, we use the particle filter. Finally, we show the effectiveness and feasibility of the proposed method though some simulations.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.163-175
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• 2017

The purpose of the study is to identify the effect of length and right angle indication on the understanding of the concept of the figure when presenting the task of classifying the plane figures. we recorded thirty three 4th grade students' performance with eye-tracking technologies and analyzed the correct answer rate and gaze duration. The findings from the study were as follows. First, correctness rate increased and Gaze duration decreased by marking length in isosceles triangle and equilateral triangle. Second, correctness rate increased and Gaze duration decreased by marking right angle in acute angle triangle and obtuse triangle. Based on these results, it is necessary to focus on measuring the understanding of the concept of the figure rather than measuring the students' ability to measure by expressing the length and angle when presenting the task of classifying the plane figures.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.245-263
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• 2013

Mathematical learning via projects, which enables the reconstruction of curriculum through integration and emphasizes the process of solving problems by posing questions, has attracted the attention of the department of mathematics. This research is aimed at exploring the link between mathematics and project learning by analyzing an example of student-oriented project 'the secrets of pyramid' focused on understanding 'triangle' specifically designed for forth graders. From 115-hour process of subject-oriented project, this study reinterpreted the mathematical meaning of only 24 hours directly related to mathematics, especially to figure exploration. Consequently, this problem solving involved a variety of geometric activities as a process, such as measuring an angle, constructing a triangle, etc. Thus students attempt to actively participate in the process, thereby allowing them to learn how to measure things more accurately. Moreover, project learning improved students' understanding on not only plane figures but solid figures. This indicates that by project learning, learning from given problems or contents can be extended to other mathematical areas.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2007.10a
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• pp.325-327
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• 2007

We report a simple area measurement device for 3 dimensional object using 3 degree of freedom sensor. The surface of 3D object can be divided into a number of triangles, and the surface area of 3D object could be measured by the sum of the divided triangle area. We applied 6DOF sensor to measure the coordinate of triangle vertex, and calculated each triangle area on the surface of 3D object. The many we divide the area to triangles, the correct we will get the result. This method shows 7.78% in error on the measurement of 3 dimensional object area.

• Journal of Korean Society for Quality Management
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• v.32 no.3
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• pp.182-197
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• 2004

In this paper we propose a new method of evaluating customers' service quality using triangle fuzzy numbers and semantic differential scale. These two parameters are useful for quantifying the customers' linguistic variables and subjective judgements. We define the Service Quality(SQ) as the ratio of the expected and perceived service and address the Agreement Rate(AR) calculated from the hamming distance in order to define the Service Rate(SR) as the geometric mean of the SQ and AR. Using the SR in the analysis of service attributes provides more appropriate to measure the customers' service quality and to establish a creative service policy for competitive service quality improvement.

• Education of Primary School Mathematics
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• v.20 no.4
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• pp.305-319
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• 2017

In the process of finding the triangle height, 26 students in the 6th grade were surveyed to understand the students' triangle height through the eye movement data and to investigate the cognitive load of the students. As a result, the correctness rate of the pre-test was significantly increased in the post-test, and the frequency and retention of gaze data were smaller in the post-test than in the AOI of each question. The Participants's subjective cognitive load indicated that it was more difficult to understand the concept of rotated triangles compared with upright triangles that were parallel to the ground. More frequent and more retentions in the eye-tracking data were detected in the right triangles and acute triangles by rotating configuration. Eye movement data show that eye tracking technology can provide an objective measure of students' cognitive load for feedback on instructional design.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.11 no.1
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• pp.108-113
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• 2007

The classification of fingerprint images is to classify fingerprint images into varies fingerprint types, it is very important in automatic fingerprint recognition. In this paper, a new singular points detection technique was presented. A direction uniform measure is defined to describe the changes of direction fields in a certain neighborhood of fingerprint images. Singular points can be detected by adopting the measure. It should be pointed out that singular points in accurate positions would be obtained in this ways. And an improved Poincare exponential algorithm is presented to identify core points and triangle points. In this paper. making use of 102 experimental fingerprint images datas and attained 7.8% classification errors. This was better than experimental result of abstract [9]. It is possible to use on-line fingerprint images classification.

• Journal of Nutrition and Health
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• v.29 no.9
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• pp.991-1002
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• 1996

The objectives of this study were to obtain normative data for 45 mother-daughter pairs on spine, femur(neck, ward's triangle, trochanter) and total body BMD (bone mineral density) measured by dual energy X-ray absorptiometry, anthropometric measurement, body composition, biochemical markers, nutrient intakes and energy expenditure, to determin the interrelations of these factors within each group, to measure familial resemblance for each variable. We observed significantly positive correlations between height, weight, head, hip and calf circumferences, tricep, femur and calf skinfold thickness, total lean body mass(=weight-total fat body mass-bone mineral content), protein and fat intakes, Ca index, serum total protein and albumin of monter-daughter pairs(p<.05-p<.001). Among mothers, age, osteocalcin, higher, weight, Ca and energy intakes were predictors of BMDs. Among daughters, weight and energy intake were predictors of BMDs. The BMD in lumbar spine(r=.48, p<.01), femoral neck(r=.38, p<.05), ward's triangle(r=.36, p<.05) of the mothers were significantly correlated with those of the daughters, after adjustment for mother's age, hight, weight, osteocalcin, Ca and energy intakes and daughter's weight, energy intake. In regression analyses, mother's BMD also were positively associated with daughter's BMD in lumbar spine, femoral neck, ward's triangle. Our findings support that mothers with low BMD tended to have daughters with low BMD. In the age groups studied, as well genetic factors as environmental factors may have an important role in determining BMD. This study suggests that women may successfully enhance their genetically determined BMD through adequate nutrient intakes and weight bearing exercise.