E MathML W3C MathJax 1.3 MathJax MathJax[5] TEX MathML JavaScript TEX MathML [8] [9] MathSciNet[10] MathJax MathJax MathJax MathJax MathJax MathJax We

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1 MathML TEX 1,a) 1,b) MathML TEX JavaScript MathJax TEX GUI MathML TEX MathJax Prototype of e-learning and Communication Systems to Support Displaying Math Equations with MathML and TEX Nobuo Yamashita 1,a) Keiji Emi 1,b) Abstract: We have developed a prototype of e-learning and communication systems to support displaying math equations with MathML and TEX. We used a JavaScript library MathJax. In our system, you can use TEX format input and GUI input. Keywords: MathML TEX MathJax learning environment smartphone e GUI TEX[1] MathML Mathematical Markup Language [2][3] HTML5 HTML5 related e 1 The Kyoto College of Graduate School for Informatics a) [email protected] b) k [email protected] Table 1 How to display equations on web browsers. No. A 1 (1 x)/(1 + x) B HTML <table> C mimetex[4] D PDF E Web MathML F C E C [6][7] -213-

2 E MathML W3C MathJax 1.3 MathJax MathJax[5] TEX MathML JavaScript TEX MathML [8] [9] MathSciNet[10] MathJax MathJax MathJax MathJax MathJax MathJax Web [11] 1.4 GUI TEX MathML GUI e [12] MathJax [13] 2 TEX MathML [14] [15] GUI [16][17][18] MathJax Web 1.5 MathJax TEX MathML JavaScript 3 TEX MathML MathML MathML 1 SVG Scalable Vector Graphics MathJax JavaScript HTML W3C Web MathML HTML5 Web Storage Canvas SVG Canvas SVG 2. MathJax HTML5 PHP JavaScript PHP Apache PHP HTML5 Google Chrome Canvas SVG Google Chrome 2.1 PHP 2.2 TEX TEX MathML SVG -214-

$1 ˆ{ } \frac{ }{ } TEX \frac{ e θ π MathJax 2.$

3 3 Fig. 3 JavaScript JavaScript source code of Powers button. 1 Fig. 1 Able to find a string in equations. 2.3 TEX JavaScript! 1 ˆ{ } \frac{ }{ } TEX \frac{ e θ π MathJax 2.4 Web Storage HTML5 Web Storage localstorage 4 localstorage Fig. 4 Saving a thread name in localstorage. 2 Fig. 2 Our system. 2.5 Wolfram Alpha TEX MathML Wolfram Alpha[19] -215-

4 Wolfram Alpha URL JavaScript 2.6 HTML5 PHP HTML HTML5 <video> 6 HTML5 <svg> Fig. 6 <svg> tags in HTML5. 5 HTML5 <video> Fig. 5 <video> tags of HTML5. GUI Canvas SVG GUI TEX Wolfram Alpha HTML5 e HTML5 Canvas SVG <canvas> <svg> <sub> HTML5 Canvas e 2.7 Web MathJax 2 [15] [14] 2 2 GUI Web [22] MathJax [13]

84%[20] [21] MathML 2.9 MathML MathJax MathML TEX MathML MathJax TEX MathML TEX EPUB3 MathML MathML 3. Fig. 8 8 The equation used in this evaluation. TEX 164 7 Fig. 7 Equation buttons on a smartphone.

5 84%[20] [21] MathML 2.9 MathML MathJax MathML TEX MathML MathJax TEX MathML TEX EPUB3 MathML MathML 3. Fig. 8 8 The equation used in this evaluation. TEX Fig. 7 Equation buttons on a smartphone. MathJax JavaScript PHP Web PC ( 1 ) PC ( 2 ) Web [22] ( 3 ) Android iphone 2 JavaScript 2 PC Table 2 Results in using a PC Table 3 Results in using a smartphone PC 2 [23] 1.5 PC PC -217-

6 TEX PC 0 PC GUI PC 4. TEX MathJax SVG HTML5 GUI PC MathJax TEX [1], L A TEX 2ε (2013) [2] W3C Math Home [3] H. Gotoh, M. Sakamoto and K. Emi Developing e- Learning and Communication Systems to Support Displaying Math Equations on Web-Pages, in 2009 e JeLa [4] mimetex [5] MathJax [6] [7] index.html [8] Mathematical Markup Language (MathML) Version 3.0 2nd Edition MathML / [9] MathJax [10] MR: Search Publications database [11] HTML5 e- vol.29 no.1 p [12] e 2004 [13] MathOverflow [14] Online LaTeX Equation Editor - create, integrate and download [15] Firemath - The MathML-Editor for Firefox [16] InftyEditor InftyEditor/index.html [17] K.Emi and T. Imai Developing E-learning and Communication Environment e JeLa [18] - Apache OpenOffice [19] Wolfram Alpha: Computational Knowledge Engine [20] 25 menu news/s-news/01kiban html [21] 8 ICT menu/shingi/chousa/shotou/ 056/gijigaiyou/attach/ htm [22] Web? - Android why19/ [23] T-01D - T-01D startup guide 01.pdf trouble/smart phone/t01d/t-01d startup guide 01.pdf

JavaScript MathTOUCH (Shizuka Shirai) Graduate School of Human Environmental Sciences, Mukogawa Women s University (Tetsuo Fukui) S

JavaScript MathTOUCH (Shizuka Shirai) Graduate School of Human Environmental Sciences, Mukogawa Women s University (Tetsuo Fukui) S Title JavaScript 版数式入力インタフェース MathTOUCH の試作 ( 数学ソフトウェアとその効果的教育利用に関する研究 ) Author(s) 白井, 詩沙香 ; 福井, 哲夫 Citation 数理解析研究所講究録 (2015), 1951: 34-39 Issue Date 2015-06 URL http://hdl.handle.net/2433/223967 Right