• Title/Summary/Keyword: geometry learning

Search Result 245, Processing Time 0.027 seconds

Estimation of Road Surface Condition during Summer Season Using Machine Learning (기계학습을 통한 여름철 노면상태 추정 알고리즘 개발)

  • Yeo, jiho;Lee, Jooyoung;Kim, Ganghwa;Jang, Kitae
    • The Journal of The Korea Institute of Intelligent Transport Systems
    • /
    • v.17 no.6
    • /
    • pp.121-132
    • /
    • 2018
  • Weather is an important factor affecting roadway transportation in many aspects such as traffic flow, driver 's driving patterns, and crashes. This study focuses on the relationship between weather and road surface condition and develops a model to estimate the road surface condition using machine learning. A road surface sensor was attached to the probe vehicle to collect road surface condition classified into three categories as 'dry', 'moist' and 'wet'. Road geometry information (curvature, gradient), traffic information (link speed), weather information (rainfall, humidity, temperature, wind speed) are utilized as variables to estimate the road surface condition. A variety of machine learning algorithms examined for predicting the road surface condition, and a two - stage classification model based on 'Random forest' which has the highest accuracy was constructed. 14 days of data were used to train the model and 2 days of data were used to test the accuracy of the model. As a result, a road surface state prediction model with 81.74% accuracy was constructed. The result of this study shows the possibility of estimating the road surface condition using the existing weather and traffic information without installing new equipment or sensors.

Analytic study on construction education based on Euclid's 'On divisions' (유클리드 분할론에 기반한 작도교육의 방향 분석)

  • Suh, Bo Euk
    • East Asian mathematical journal
    • /
    • v.32 no.4
    • /
    • pp.483-500
    • /
    • 2016
  • Ancient Greek mathematician Euclid left three books about mathematics. It's 'The elements', 'The data', 'On divisions of figure'. This study is based on the analysis of Euclid's 'On divisions of figure'. 'On divisions of figure' is a book about the construction of the shape. Because, there are thirty six proposition in 'On divisions of figure', among them 30 proposition are for the construction. In this study, based on the 'On divisions of figure' we explore the direction for construction education. The results were as follows. First, the proposition of 'On divisions of figure' shall include the following information. It is a 'proposition presented', 'heuristic approach to the construction process', 'specifically drawn presenting', 'proof process'. Therefore, the content of textbooks needs a qualitative improvement in this way. Second, a conceptual basis of 'On divisions of figure' is 'The elements'. 'The elements' includes the construction propositions 25%. However, the geometric constructions contents in middle school area is only 3%. Therefore, it is necessary to expand the learning of construction in the our country mathematics curriculum.

The impact of Google SketchUp on spatial ability and 3D geometric thinking of 7th grade students in volume measurement of solid figures (공간 능력과 공간 기하적 사고에서 SketchUp활용의 효과 -중학교 1학년 입체도형의 측정 단원을 중심으로-)

  • Lee, Hyun Hui;Kim, Rae Young
    • The Mathematical Education
    • /
    • v.52 no.4
    • /
    • pp.531-547
    • /
    • 2013
  • The purpose of the study is to examine how effects of activities using Google SketchUp on students' spatial ability and 3D geometric thinking in measuring the volume of solid figures. By comparing the results from pre- and post-tests between the experimental group and control group, we found that activities using Google SketchUp help students improve their spatial ability in the spatial orientation and visualization. In addition, more than half students in the experimental group moved from level 4 up to level 7 in thinking process of measuring the volume in terms of Battista(2004)'s levels. This study suggests that the instruction with Google SketchUp can help to improve students' spatial ability and 3D geometric thinking in the regular class in middle school. In addition, SketchUp can be an advanced technological tool to support students' self-directed learning, which create an efficient educational environment and a great opportunity to learn geometry in an effective manner.

A Study of Teaching Concept of Parallel Line in Elementary School Mathematics. (초등학교 수학에서 평행과 평행선 지도에 관한 고찰)

  • Lee, Chong-Young
    • Journal of Educational Research in Mathematics
    • /
    • v.15 no.3
    • /
    • pp.273-286
    • /
    • 2005
  • We teach students to explore geometric figures by its properties and establish relationships between some basic figures. The concept of parallel line play very im-portant roles in such geometry learning process. In this study, 1 investigate the con-cept of parallel line we teaching in elementary school. Students have wrong concept images for parallel line, which is the result of the elementary school mathematics text books, where only typical cases for parallel line Is presented and there is no method to find if two lines is parallel or not. Therefore, we should teach explicitly students to find if two lines is parallel or not. The depth study on it is needed to develope students' geometric thought level.

  • PDF

Robust Facial Expression Recognition Based on Local Directional Pattern

  • Jabid, Taskeed;Kabir, Md. Hasanul;Chae, Oksam
    • ETRI Journal
    • /
    • v.32 no.5
    • /
    • pp.784-794
    • /
    • 2010
  • Automatic facial expression recognition has many potential applications in different areas of human computer interaction. However, they are not yet fully realized due to the lack of an effective facial feature descriptor. In this paper, we present a new appearance-based feature descriptor, the local directional pattern (LDP), to represent facial geometry and analyze its performance in expression recognition. An LDP feature is obtained by computing the edge response values in 8 directions at each pixel and encoding them into an 8 bit binary number using the relative strength of these edge responses. The LDP descriptor, a distribution of LDP codes within an image or image patch, is used to describe each expression image. The effectiveness of dimensionality reduction techniques, such as principal component analysis and AdaBoost, is also analyzed in terms of computational cost saving and classification accuracy. Two well-known machine learning methods, template matching and support vector machine, are used for classification using the Cohn-Kanade and Japanese female facial expression databases. Better classification accuracy shows the superiority of LDP descriptor against other appearance-based feature descriptors.

A Study on the Visualization of Middle & High School Mathematics (중.고등학교 수학의 시각화)

  • 문광호;우정호
    • School Mathematics
    • /
    • v.1 no.1
    • /
    • pp.135-156
    • /
    • 1999
  • The purpose of this study is to discuss about the role of the visualization as an effective method of teaching abstracted mathematics, to analyze visual materials in middle and high school mathematics and to suggest various visualized materials for teaching mathematics effectively. Though formal, symbolic and analytical teaching method is a major characteristic of mathematics, the students should be taught to understand through intuition and insight, and formalize the mathematical concepts progressively. Especially the sight is one of the most important basics of cognition for intuition and insight. Therefore, suggesting mathematical contents through the visual method makes the students understand and formalize the mathematical concepts more easily. In this study, we tried to investigate the meaning and role of visualization in mathematics teaching. And, we discussed about the four roles of visualization in the process of mathematics teaching and learning confirmation and memorization of the mathematical truth, proving theorem and solving problems which is one of the most important purposes of teaching mathematics, According to the roles of visualization, we analyzed visual materials currently taught in middle and high school, and suggested various visual materials useful in teaching mathematics. The investigated fields are algebra where visual materials are little used, and geometry where they are use the most. The paper-made-textbook can't show moving animation vigorously. Hence we suggested visual materials made by GSP and applets in IES .

  • PDF

Dynamic analysis of a transversely isotropic non-classical thin plate

  • Fadodun, Odunayo O.;Borokinni, Adebowale S.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
    • /
    • v.25 no.1
    • /
    • pp.25-38
    • /
    • 2017
  • This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.

Text-Independent Speaker Identification System Using Speaker Decision Network Based on Delayed Summing (지연누적에 기반한 화자결정회로망이 도입된 구문독립 화자인식시스템)

  • 이종은;최진영
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.8 no.2
    • /
    • pp.82-95
    • /
    • 1998
  • In this paper, we propose a text-independent speaker identification system which has a classifier composed of two parts; to calculate the degree of likeness of each speech frame and to select the most probable speaker from the entire speech duration. The first part is realized using RBFN which is selforganized through learning and in the second part the speaker is determined using a con-tbination of MAXNET and delayed summings. And we use features from linear speech production model and features from fractal geometry. Closed-set speaker identification experiments on 13 male homogeneous speakers show that the proposed techniques can achieve the identification ratio of 100% as the number of delays increases.

  • PDF

A Study on the Graph and Linear Transformation in the Mathematics Amended Curriculum (수학과 개정교육과정의 그래프와 일차변환 단원에 대한 고찰)

  • Hwang, Suk-Geun;Yoon, Jeong-Ho
    • Journal for History of Mathematics
    • /
    • v.23 no.4
    • /
    • pp.83-100
    • /
    • 2010
  • This paper is to raise several questions in teaching the Graph and Linear Transformation complied with the Mathematics Amended Curriculum announced in 2006 Aug. and then to formulate a plan accordingly. For this, we'll take a good look at the prior studies on the Graph and Linear Transformation after the announcement of the 7th School Curriculum along with the changes in their contents through the process of curriculum. Then we'll check over learning factors of the Graph and Linear Transformation in all 27 kinds of the authorized textbooks - 'Mathematics I', 'Applications of Mathematics', and 'Geometry and Vectors' - and 27 kinds of exercise books issued on 2009. By this, we put measures which improve understanding and apply correctly to the Graph and Linear Transformation in the Mathematics Amended Curriculum to high school teachers.

Synthesis and Characterization of Nickel(II) Tetraaza Macrocyclic Complex with 1,1-Cyclohexanediacetate Ligand

  • Lim, In-Taek;Kim, Chong-Hyeak;Choi, Ki-Young
    • Journal of the Korean Chemical Society
    • /
    • v.62 no.6
    • /
    • pp.427-432
    • /
    • 2018
  • The reaction of [$[Ni(L)]Cl_2{\cdot}2H_2O$ (L = 3,14-dimethyl-2,6,13,17-tetraazatricyclo[$14,4,0^{1.18},0^{7.12}$]docosane) with 1,1-cyclohexanediacetic acid ($H_2cda$) yields mononuclear nickel(II) complex, [$Ni(L)(Hcda^-)_2$] (1). This complex has been characterized by X-ray crystallography, electronic absorption, cyclic voltammetry and thermogravimetric analyzer. The crystal structure of 1 exhibits a distorted octahedral geometry with four nitrogen atoms of the macrocycle and two 1,1-cyclohexanediacetate ligands. It crystallizes in the triclinic system P-1 with a = 11.3918(7), b = 12.6196(8), $c=12.8700(8){\AA}$, $V=1579.9(2){\AA}^3$, Z = 2. Electronic spectrum of 1 also reveals a high-spin octahedral environment. Cyclic voltammetry of 1 undergoes one wave of a one-electron transfer corresponding to $Ni^{II}/Ni^{III}$ process. TGA curve for 1 shows three-step weight loss. The electronic spectra, electrochemical and TGA behavior of the complex are significantly affected by the nature of the axial $Hcda^-$ ligand.