• Title/Summary/Keyword: acute triangle

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Properties of Triangle-Shaped Fuzzy Membership Function (삼각 퍼지 멤버쉽함수의 특성)

  • 이규택;이장규
    • Journal of the Korean Institute of Intelligent Systems
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    • v.5 no.1
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    • pp.15-20
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    • 1995
  • Fuzzy membership functions are some kinds of mapping function for the fuzzification and the defuzzification. Triangle-shaped fuzzy membership functions are widely used in fuzzy controller, for it is easy to implement. In these membership functions, it is known that narrower fuzzy sets permit finer control near the operating point than that far from the operating point. $Supp{\acute{o}}se$ we have a membership function with narrower triangle near zero and wider triangle far from zero. The membership function will make fine control when small input is given and rough control at large input. Therefore the performance of the controller with that membership function will be enhanced. This paper presents how the width of triangle base in the fuzzy membership function has influence on the output using geometrical approaches.

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On the Pythagorean triple (피타고라스의 세 수)

  • 박웅배;박혜숙
    • The Mathematical Education
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    • v.41 no.2
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    • pp.227-231
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    • 2002
  • The Pythagorean theorem and Pythagorean triple are well known. We know some Pythagorean triples, however we don't Cow well that every natural number can belong to some Pythagorean triple. In this paper, we show that every natural number, which is not less than 2, can be a length of a leg(a side opposite the acute angle in a right triangle) in some right triangle, and list some Pythagorean triples.

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System Developement for STL Error Correction and Shape Modification (STL의 오류수정 및 형상수정 시스템의 개발)

  • Chae, Hee-Chang
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.53-61
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    • 1999
  • STL has several errors such as orientation error, hole error, and acute triangle error on being translated from CAD software. These errors should be corrected before using in Rapid Prototyping. So the software is necessary to correct errors. In this study, STL Editor which is a system for STL error correction and shape modification is developed and contains following characteristics. 1.Apply the triangle based data st겨cture. 2.Use the graphic user interface for easy work. 3.Use the Diet method to reduce data size. 4.Use the Delaunay triangulation method to enhance the quality of STL. 5.Modify the STL errors manually.

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Studies on Sensory Evaluation -[Part IV] New Modified Triangle Test- (관능검사(官能檢査)에 관한 연구(硏究) -[제4보(第4報)] 3점비교법(點比較法)의 신변형(新變形)에 대하여-)

  • Hong, Jin
    • Applied Biological Chemistry
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    • v.20 no.3
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    • pp.285-291
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    • 1977
  • In this paper the new statistical method called "New Modified Triangle Test" is studied. This method is to test the null hypothesis based on the result which comes from evaluating sample size "t", where $t{\geqq}3$, by using Triangle Preference Scale Test. It a confirmed that "New Modified Scheffe's Method 1" can be used for appraising "New Modified Triangle Test". In this report, the weight fraction of in-correct oddity chosen to correct oddity chosen is made 1/2 in terms of chance probability.

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The Effect of the Indication of Lengths and Angles on Classifying Triangles: Centering on Correct Answer Rate and Eye Movements (분류하기에서 길이와 직각 표기의 효과: 정답률과 안구운동 분석을 중심으로)

  • Yun, Ju Mi;Lee, Kwang-ho;Lee, Jae-Hak
    • 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.

Cognitive process and cognitive load about the concept image of triangle altitude in visual image (시각적 이미지 안에서 삼각형 높이의 개념 이미지에 대한 인지적 처리과정과 인지적 부하)

  • Lee, Mi Jin;Lee, Kwangho
    • 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.

TPR-TNR plot for confusion matrix

  • Hong, Chong Sun;Oh, Tae Gyu
    • Communications for Statistical Applications and Methods
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    • v.28 no.2
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    • pp.161-169
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    • 2021
  • The two-dimensional confusion matrix used in credit assessment, biostatistics, and many other fields consists of true positive, true negative, false positive, and false negative. Their rates, such as the true positive rate (TPR), true negative rate (TNR), false positive rate, and false negative rate, can be applied to measure its accuracy. In this study, we propose the TPR-TNR plot, a graphical method that can geometrically describe and explain these rates based on the confusion matrix. The proposed TPR-TNR plot consists of two right-angled triangles. We obtain that the TPR and TNR describe the acute angles of right-angled triangles in the plot. These acute angles can be used to determine optimal thresholds corresponding to lots of accuracy measures.

A Study of Classification of Triangles by Angles in Elementary School Mathematics (초등학교 교과서의 각의 크기에 따른 삼각형 분류에 관한 고찰)

  • Hong, Gap Ju;Park, Ji Hwan
    • Education of Primary School Mathematics
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    • v.18 no.1
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    • pp.45-59
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    • 2015
  • This study focused on the classification of triangles by angles in elementary school mathematics. We examined Korean national mathematics curriculum from the past to the present. We also examined foreign textbooks and the Euclid's . As a result, it showed that the classification is not indispensable from the mathematical and the perceptual viewpoint. It is rather useful for students to know the names of triangles when studying upper level mathematics in middle and high schools. This study also suggested that the classification be introduced in elementary school mathematics in the context of reasoning and inquiring as shown foreign textbooks, and example topics for the reasoning and inquiring.

Acute and Chronic Isolated Splenic Torsion in Two Dogs (개에서 단독으로 발생한 급성 비장 염전과 만성 비장 염전의 비교)

  • Jung, Joo-Hyun;Chae, Woong-Joo;Chang, Jin-Hwa;Yoon, Jung-Hee;Choi, Min-Cheol
    • Journal of Veterinary Clinics
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    • v.25 no.1
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    • pp.52-57
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    • 2008
  • An intact male, 3-year old, Sapsari, weighing 29 kg with a history of respiratory distress, anorexia, abdominal distension, and depression for 1 day was referred. Radiographic findings included a C-shaped soft tissue mass in the mid-abdominal cavity and loss of serosal detail. Ultrasonographs showed splenomegaly with hypoechoic coarse parenchyma, loss of venous flow in the dilated splenic veins, and thrombi. Based on image findings, acute isolated splenic torsion was diagnosed. Splenectomy and prophylactic gastropexy was performed. Another case was a spayed female, 8-year old, Shih-tzu, weighing 3.7 kg with a history of intermittent abdominal pain and a palpable abdominal mass for 1 year. Radiographic findings showed splenomegaly characterized by a soft tissue round mass. Ultrasonographs revealed displaced splenic hilum and absence of venous flow in the dilated splenic vein. Chronic isolated splenic torsion was diagnosed and also splenectomy and gastropexy was performed. Two dogs were recovered normally after surgery without any complications. Acute form of isolated splenic torsion showed acute systemic clinical signs, severe C-shaped splenomegaly on radiographs, and loss of all of splenic venous flow, perivenous hyperechoic triangle sign, and thrombi on ultrasonographs. Chronic form of isolated splenic torsion showed chronic obscure clinical signs, moderate splenomegaly on radiographs, and partial loss of splenic venous flow on ultrasonographs.

Case Report on Three Patients with Cervical Myofascial Pain Syndrome Showing Improvement with Ultrasound-Guided Pharmacopuncture: Proposal of the 'SLS Triangle' Treatment Protocol (경추근막통증증후군에 대한 초음파 유도하 약침 치료 3례 증례보고)

  • Hongmin Chu;Seongjun Park;Taegwang Nam;Kwangho Kim;Junhui Kwon;Hyeon Joon Hong;Juhwan Song;Sanghyuk Kwon;Jaehyo Kim;Hyein Jeong;Kyeong Han Kim;Robin Kwon
    • Korean Journal of Acupuncture
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    • v.41 no.3
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    • pp.101-109
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    • 2024
  • Objectives : Cervical myofascial pain syndrome (C-MPS), a key aspect of Visual Display Terminals (VDT) Syndrome, leads to acute and chronic pain due to muscle shortening, potentially causing headaches and movement disorders. This study examines the effectiveness of Pharmacoacupuncture at the intersection of the Splenius Capitis (SC), Levator Scapulae (LS), and Serratus Posterior Superior(SPS) muscles under ultrasound guidance, known as the "SLS triangle" in treating C-MPS. Methods : Three patients (aged 30 to 37) with acute C-MPS presented at two Korean medicine clinics with severe neck pain and restricted cervical rotation. The evaluation of symptoms before treatment, immediately after treatment, and one day after treatment was conducted using the cervical rotation Range of motion (ROM) and the Numeric Rating Scale (NRS) for cervical pain. Treatments included Acupuncture, Cupping therapy, Chuna manipulation, Physical Therapy, and Pharmacopuncture (Jaha-geo extract, 2cc at the SLS triangle). Results : All three patients showed significant improvement post-treatment. Immediately after treatment, Patient 1's NRS improved from 7 to 2, Patient 2's NRS improved from 4 to 1, and Patient 3's NRS improved from 6 to 2. Directly after the procedure, there were no significant adverse reactions except for one patient experiencing temporary dizziness. When the patients were followed up by phone 24 hours later, no adverse reactions were reported. Conclusions : This study demonstrates that ultrasound-guided pharmacopuncture can significantly reduce pain and improve cervical rotation in patients with cervical myofascial pain syndrome. The findings suggest this non-invasive treatment is both safe and effective, warranting further research through larger-scale clinical trials to validate its efficacy and establish standardized protocols.