| 論文 |
| No. | 論文タイトル URL, 誌名(出版物名), 巻( 号), 開始ページ- 終了ページ, 出版年月, DOI
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| 1 | Intuitive understanding of the vertex and axis of symmetry of a parabola without completing the square , Far East Journal of Mathematical Education, 26( 2), 99- 108, 2024年10月,
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| 2 | Proof without words: a, b, c, d > 0; a/b = c/d → a/b = c/d= (s a + t c/(s b + t d} in the range of natural numbers , Far Est Journal of Mathematical Education, 26( 2), 71- 77, 2024年08月,
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| 3 | Supplementary remarks on simple sum using dimensions --- from viewpoint of connection to physics based on weighted average , Far East Journal of Mathematical Education, 26( 1), 55- 70, 2024年05月,
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| 4 | Exploring of the relationship between a circle and a hyperbola , Far East Journal of Mathematical Education, 25( 2), 47- 55, 2023年11月,
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| 5 | Geometric structure of sum of the powers of a natural number , Far East Journal of Mathematical Education, 24( 1), 37- 44, 2023年06月,
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| 6 | Proof without words: The sum of the product of two consecutive integers , Far East Journal of Mathematical Educatio, 24( 1), 17- 20, 2023年03月,
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| 7 | Proof without words: Relationship among the sum of cubic integer numbers, sum of consecutive odd numbers, and sum of natural numbers , Far East Journal of Mathematical Education, 24( 1), 1- 3, 2023年01月,
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| 8 | Using the sum of triangular numbers as the most fundamental number of combinations found using heuristic methods , European Journal of Pure and Applied Mathematics, 15( 3), 1237- 1253, 2022年07月,
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| 9 | A pedagogical study of geometric relations between the sums of cubic integer numbers and the sums of square integer numbers with the sums of odd numbers , European Journal of Pure and Applied Mathematics, 15( 3), 864- 877, 2022年07月,
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| 10 | Proof without words: a = c ⇒ a = c = a ± c / b ± d in the range of natural numbers , Far East Journal of Mathematical Education, 22( 1), 29- 32, 2022年06月,
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| 11 | Proof without words: Relationship between the sum of natural numbers and the sum of the product of two consecutive integer , Far East Journal of Mathematical Education, 22( 1), 1- 3, 2022年02月,
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| 12 | Incident position of refracted light beam for reaching a target point , Far East Journal of Mathematical Education, 21( 2), 143- 154, 2021年12月,
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| 13 | Proof without Words: Relationship between the sum of triangular numbers, sum of natural numbers, and sum of square numbers , Far East Journal of Mathematical Education, 21( 1), 83- 91, 2021年06月,
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| 14 | Proof without words: Relationship between combination ({n}_C_{2))^{2} and sum of cubic numbers , Far East Journal of Mathematical Education, 20( 3), 79- 82, 2020年11月,
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| 15 |
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| 16 | Proof without words: The relation among $\cos (60^{\circ} \pm \theta)$, $\sin (60^{\circ} \pm \theta)$, $\cos (30^{\circ} \pm \theta)$, and $\sin (30^{\circ} \pm \theta)$ , Far East Journal of Mathematical Education, 20( 1), 37- 38, 2020年06月,
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| 17 | An illustrated guide to effect of phase to wave phenomena , Journal of Physics Education (IAPT), 35( 4), Article Number 6 (11 pages)- , 2020年01月,
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| 18 | Proof without words: Sum of consecutive odd numbers , Far East Journal of Mathematical Education, 19( 1), 59- 60, 2019年,
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| 19 | Proof without words: Relationship between combination $_{n}C_{2}$ and arithmetic numbers from a pedagogical viewpoint , Far East Journal of Mathematical Education, 19( 1), 57- 58, 2019年,
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| 20 | Recurrence relation between infinite series and generalised harmonic numbers from a pedagogical viewpoint , Far East Journal of Mathematical Education, 18, 101- 112, 2018年,
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| 21 |
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| 22 | Work done by internal forces on a multi body system with constraints , Journal of Physics Education (IAPT), 34( 1), Article Number: 5 (9 pages)- , 2018年,
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| 23 | Proof without words: Product of sum and difference , Far East Journal of Mathematical Education, 17( 3), 163- , 2017年,
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| 24 |
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| 25 | Alternative method for introducing torque and angular momentum , Journal of Physics Education (IAPT), 32( 1), Article Number: 3 (10 pages)- , 2016年,
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| 26 |
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| 27 | Elementary remarks on the ambiguous explanation of pressure in chemical thermodynamics , Journal of Physics Education (IAPT), 31( 1), Article Number: 5 (7 pages)- , 2015年,
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| 28 |
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| 29 | Simple and intuitive mathematics for learning elementary physics , JPS Conference Proceedings, 1, 17036- , 2014年,
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| 30 | Commutative law for the multiplication of matrices as viewed in terms of Hankel's principle , European Journal of Pure and Applied Mathematics, 7, 405- 411, 2014年,
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| 31 |
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| 32 | Recursion formulae of 1 ℓ + 2 ℓ + ··· + n ℓ and their combinatoric meaning in terms of the tree diagrams , International Journal of Mathematical Education in Science and Technology, 44( 1), 132- 142, 2013年01月, https://doi.org/10.1080/0020739X.2012.662298 |
| 33 | Visual thinking of mathematical concepts , Far East Journal of Mathematical Education, 10, 157- 174, 2013年,
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| 34 | Proof without words: Triangular sums , College Mathematics Journal, 44, 189- , 2013年,
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| 35 | Proof without words: Tangent double angle identity , College Mathematics Journal, 44, 47- , 2013年,
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| 36 | Common characteristics of elementary second-order ordinary differential equations with constant coefficients from a unified viewpoint , Far East Journal of Mathematical Education, 9, 185- 193, 2012年,
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| 37 | Pedagogical framework of elementary mechanics comparable to elementary electromagnetism: Introductory approach without reliance on equation of motion , Journal of Physics Education (IAPT), 28( 2), Aarticle Number: 6 (10 pages)- , 2012年,
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| 38 | Geometrical meaning of arithmetic series ∑ n<inf>k=1</inf> k, ∑ n<inf>k=1</inf> k 2 and ∑ n<inf>k=1</inf> k 3 in terms of the elementary combinatorics , International Journal of Mathematical Education in Science and Technology, 42( 5), 657- 664, 2011年07月, https://doi.org/10.1080/0020739X.2010.550943 |
| 39 | Integral representation of the pictorial proof of ∑<inf>k=1</inf> n k 2 = 1/6 n(n+1)(2n+1) , International Journal of Mathematical Education in Science and Technology, 42( 2), 235- 239, 2011年03月, https://doi.org/10.1080/0020739X.2010.510223 |
| 40 |
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| 41 |
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| 42 | A new approach to elementary mechanics , Journal of the Physics Education Society of Japan Supplement, , 276- 277, 2009年,
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| 43 | 「第６回関東地区 リフレッシュ理科教室 」報告 , 社団法人応用物理学会応用物理教育分科会：応用物理教育, 33, 39- 44, 2009年,
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| 44 | Intuitive understanding of solutions of partially differential equations , International Journal of Mathematical Education in Science and Technology, 39( 3), 365- 371, 2008年04月, https://doi.org/10.1080/00207390600913343 |
| 45 | 概念・イメージを伴わないことばだけの理解の実態 , 社団法人応用物理学会応用物理教育分科会：応用物理教育, 32, 51- 56, 2008年,
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| 46 | Remarks on viewing situation in a rotating frame , European Journal of Physics, 29, 599- 606, 2008年,
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| 47 |
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| 48 | Triangles As Viewed from Above , An International Journal Mathematics and Informatics Quarterly, 17, 116- 120, 2007年,
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| 49 |
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| 50 | 遠心力の起因に関する指導上の注意 , 日本物理学会: 「大学の物理教育」誌, 13, 95- 98, 2007年,
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| 51 | Relations among Powers of 2, Combinations, and Symbolic Algerba , Mathematics Teacher, 99( 8), 577- 578, 2006年,
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| 52 | Instantaneous center of rotation in plane motion of sliding rod , IPS Physics Update Journal, 9, 35- 37, 2005年,
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| 53 |
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| 54 | Computer simulation of billiards problem , International Physics Education Newsletter, , 179- 181, 2005年,
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| 55 |
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| 56 | A geometrical meaning of the triple angle formulas , An International Journal Mathematics and Informatics Quarterly, 15( 3), 93- 95, 2005年,
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| 57 | 力学系と電気系の対応に関する注意 , 日本物理学会「大学の物理教育」誌, 2003-1, 243- 247, 2003年,
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| 58 | A simple derivation of the Doppler effect formulae , IPS Physics Update Journal, 8, 22- 24, 2003年,
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| 59 | Mathematical modeling of metal leaves , Mathematics Magazine, 76, 295- 298, 2003年,
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| 60 | A geometrical key to solution of differential equation : d2x(t)/dt2 = -w2x(t) , Mathematical Gaaette, 87, 163- 166, 2003年,
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| 61 | 剛体の平面運動における回転中心 , 日本物理学会誌, 57, 767- 768, 2002年,
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| 62 |
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| 63 |
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| 64 | Are mixed numbers consistent with the rules of algebra? , Mathematics in School, 30, 28- , 2001年,
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| 65 | Combining trigonometrical functions through vector multiplication , The Mathematical Gazette, 85, 124- 125, 2001年,
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| 66 |
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| 67 | Derivative of trigonometrical functions via matrices , The Mathematical Gazette, 85, 116- 117, 2001年,
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| 68 | Flow of ions in electrolyte solutions : Comparison of the fractal growth of metal leaves by electrodeposition and the simulation of DLA clusters , Proceedings of the Second Japan-China Symposium on University Physics Experiment Education, , 57- 60, 2001年,
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| 69 | 銀樹のフラクタル成長を題材にした情報系の物理実験教育 , 日本物理学会「大学の物理教育」誌, 1, 46- 49, 2001年,
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| 70 |
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| 71 | Mathematics without Words , College Mathematics Journal, 32, 14- , 2001年,
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| 72 | Geometrical meaning of the quotient rule for differentiation , The Mathematical Gazette, 84, 303- 304, 2000年,
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| 73 |
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| 74 | Physical foundation of protein architecture , International Journal of Modern Physics B, 13( 19), 2431- 2529, 1999年07月,
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| 75 |
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| 76 | Evaluation of Protein Secondary Structure Prediction , RIKEN Review, 25, 16- 17, 1999年,
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| 77 |
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| 78 | Trigonometric Identity : the difference of two sines or two cosines , College Mathematics Journal, 29, 133- , 1998年,
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| 79 | Trigonometric identity: The sum of two sines or two cosines , The College Mathematics Journal, 29, 157- 157, 1998年,
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| 80 | A geometric view of a vector identity , College Mathematics Journal, 29, 309- 310, 1998年,
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| 81 | Protein structure prediction by the island model , RIKEN Review, 19, 70- 72, 1998年,
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| 82 |
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| 83 |
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| 84 | 物質中の核現象 , 日本素材物性学会固体内核変換研究会報告集, , 75- 81, 1997年,
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| 85 | Note on the evaluation method of the configurational partition function of a polypeptide molecule: Relationship between the matrix method and the generating function method , Journal of Chemical Physics, 104( 16), 6405- 6406, 1996年04月, https://doi.org/10.1063/1.471767 |
| 86 | A model for neutron emission from condensed matter , Progress in New Hydrogen Energy, ( 1), 319- 323, 1996年,
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| 87 | Development of statistical mechanical method for predicting protein secondary structures , High Performance Computing in RIKEN 1995, 1, 221- 223, 1996年,
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| 88 | Cytochrome b562: Electroactive protein for bioelectronics , Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 255( 1), 271- 278, 1994年10月, https://doi.org/10.1080/10587259408029798 |
| 89 | Protein secondary structure prediction using a statistical mechanical method , Protein Engineering, 7( 9), 1164- 1164, 1994年09月,
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| 90 | Refolding of cytochrome b<inf>562</inf> and its structural stabilization by introducing a disulfide bond , Journal of Protein Chemistry, 12( 2), 121- 131, 1993年04月, https://doi.org/10.1007/BF01026033 |
| 91 | Refolding of BPTI and its intermediates , Computer Aided Innovation of New Materials II, PTS 1 AND 2, , 1275- 1278, 1993年,
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| 92 | Statistical mechanical method for predicting secondary structures , Protein Engineering, 6, 1027- , 1993年,
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| 93 | Site-Directed mutagenesis of cytochrome b$_{562}$ for stabilization to form two-dimensional regular array , Electricity and Magnetism in Biology and Medicine, , 191- 194, 1993年,
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| 94 |
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| 95 |
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| 96 | Tunnel disintegration and neutron emission probability , Frontiers of Cold Fusion (Universal Academy Press, Inc.), , 589- 592, 1992年,
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| 97 | Third-order optical nonlinearities of soluble polythiophenes , Molecular Crystals and Liquid Crystals Science and Technology SectionB : Nonlinear Optics, 3, 169- 182, 1992年,
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| 98 | Mechanism of protein folding and its application to structure prediction of proteins , Report on Progress of Polymer Physics in Japan, 35, 1- 22, 1992年,
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| 99 | Folding mechanism of cytochrome $b_{562}$ , Proceedings of Frontier Research Forum on BIOELECTRONIC MATERIALS, , 9- 15, 1991年,
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| 100 |
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| 101 |
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| 102 | 固体リチウム K電子の動的構造因子の理論的研究 , 東京大学, , , 1988年03月,
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| 103 | Momentum dependence of the dynamic structure factor of core electrons in metallic lithium , Journal of the Physical Society of Japan, 56( 8), 2940- 2947, 1987年08月, https://doi.org/10.1143/JPSJ.56.2940 |
| 104 | New representation of quantum chaos , Physics Letters A, 101( 3), 115- 119, 1984年,
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