# KOBAYASHI Yukio（Professor）

KOBAYASHI YUKIO

Specialized field Mathematical physics/fundamental theory of physical properties Linear algebra 1 Exercises in Calculus and Linear Algebra 1 Case Study 1 Case Study 2 Seminar 1 Seminar 2 Physics A (Basic Mechanics) Linear algebra 2 Exercises in Calculus and Linear Algebra 2 Probability and Statistics Ordinary differential equations Thesis Study 1 Thesis Study 2 Linear Algebra Mathematical Models in Computer Science II Advanced Course of Information Systems Advanced Study of Information Systems Independent Study IV Principles of protein architecture based on physicochemical mechanisms of folding

## Information Systems Science of Graduate school of engineering

• Major Field mathematical physics Mathematical physics 1. Theoretical Biophysics (Protein folding problem) 2. Theoretical Molecular Physics (Tunnel effect in three-body system) 3. Physics and Mathematics Education (Simple and intuitive mathematics for learning elementary physics) (1) Yukio Kobayashi: "X-Ray Raman Profiles of Solid Lithium on the KKR Method" Journal of The Physical Society of Japan 60 (1991) 659 - 665. (2) Yukio Kobayashi: "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 (1996) 6405 - 6406. (3) Yukio Kobayashi: and Nobuhiko Saito: "Refolding of Myoglobins of Nonhomologous Sequences by the Island Model" Journal of Protein Chemistry 16 (1997) 83 - 98. (4) Yukio Kobayashi, Hiroyuki Sasabe and Nobuhiko Saito: "Ab initio Method for Predicting Tertiary Structures of Globular Proteins" Fluid Phase Equilibria 144 (1998) 403 - 413. (5) Yukio Kobayashi: "A Geometric View of a Vector Identity" College Mathemetics Journal (Mathemetical Association of America) 29 (1998) 309 - 310. (6)Yukio Kobayashi: "Trigonometric Identity: The Difference of Two Sines or Two Cosines'', College Mathematics Journal: an official publication of the Mathematical Association of America 29 (1998) 133. Proofs without words II More exercises in visual thinking, ed. Roger B. Nelsen (The Mathematical Association of America, 2000) p.53. (7) Nobuhiko Saito and Yukio Kobayashi: "The Physical Foundation of Protein Architecture" (World Scientific Publishing Co. Pte. Ltd., Singapore, 2001) 150 pp. ISBN 981-02-4710-9. (8) Yukio Kobayashi: "Interpretation and Notation of Logarithm of Physical Quantities", Journal of the Physics Education Society of Japan 48 (2000) 492 - 495. (9) Yukio Kobayashi: "Geometrical meaning of the quotient rule for differentiation'', The Mathematical Gazette: A Journal of the Mathematical Association 84 (2000) 303 - 304. (10) Yukio Kobayashi: "Derivative of trigonometrical functions via matrices'', The Mathematical Gazette: A Journal of the Mathematical Association 85 (2001) 116 - 117. (11) Yukio Kobayashi: "Combining trigonometrical functions through vector multiplication'', The Mathematical Gazette: A Journal of the Mathematical Association 85 (2001) 124 - 125. (12) Yukio Kobayashi and Nobuhiko Saito: "Secondary Structure Prediction and Folding of Globular Protein: Refolding of Ferredoxin", Journal of Protein Chemistry 20 (2001) 647-654. (13) Yukio Kobayashi: "Are Mixed Numbers Consistent with the Rules of Algebra?", Mathematics in School 30 (2001) 28. (14) Yukio Kobayashi: "Mechanics Station", (Morikita Shyppan, Tokyo, 2002) 256pp. ISBN 4-627-16061-5 C3042. (15) Yukio Kobayashi: "A geometrical key to solution of differential equation: d^{2}x(t)/ dt^{2} &eq; - omega^{2} x(t)'', The Mathematical Gazette: A Journal of the Mathematical Association 87 (2003) 163 - 166. (16) Yukio Kobayashi, Takashi Niitsu, Koichi Takahashi and Setsuko Shimoida::"Mathematical Modeling of Metal Leaves", Mathematics Magazine 76 (2003) 295 - 298. (17) Yukio Kobayashi: "A Simple Derivation of the Doppler Effect Formulae'', Physics Update 8 (2003) 22 - 24. (18) Yukio Kobayashi: "Instantaneous Center of Rotation in Plane Motion of Sliding Rod", Physics Update 9 (2005) 35 - 37. (19) Yukio Kobayashi: "A Geometrical Interpretation of the Triple Angle Formulas", An International Journal Mathematics and Informatics Quarterly 15 - 3 (2005) 93 - 95. (20) Yukio Kobayashi: "Relations Among Powers of 2, Combinations, and Symbolic Algebra", Mathematics Teacher 99 - 8 (2006) 577 - 578. (21) Yukio Kobayashi and Jim Boyd: "Triangles As Viewed from Above", An International Journal Mathematics and Informatics Quarterly 17-3/4 (2007) 116-120. (22) Yukio Kobayashi, Hiroshi Wako and Nobuhiko Saito: "Statistical Mechanical Theory of Protein Conformation and Its Transition", Journal of The Physical Society of Japan 76 (2007) 074802 (12 pages). (23) Yukio Kobayashi: "Intuitive Understanding of Solutions of Partially Differential Equations", International Journal of Mathematical Education in Science and Technology 39 (2008) 365-371. (24) Yukio Kobayashi: "Remarks on viewing situation in a rotating frame", European Journal of Physics 29 (2008) 599-606. (25) Yukio Kobayashi: "Simple demonstration in the classroom: intuitive visualization of relative circular motion in a two-body problem", Physics Education 45 (2010) 654-657. (26) Yukio Kobayashi: "Integral representation of the pictorial proof of $\displaystyle \sum_{k=1}^{n} k^{2} = \frac{1}{6} n (n+1) (2n+1)$", International Journal of Mathematical Education in Science and Technology 42 (2011) 235-239. (27) Yukio Kobayashi: "Geometrical meaning of arithmetic series $\displaystyle \sum_{k=1}^{n} k$, $\displaystyle \sum_{k=1}^{n} k^{2}$, and $\displaystyle \sum_{k=1}^{n} k^{3}$ in terms of the elementary combinatorics", International Journal of Mathematical Education in Science and Technology 42 (2011) 657-664. (28) Yukio Kobayashi: "Pedagogical framework of elementary mechanics comparable to elementary electromagnetism: introductory approach without reliance on equation of motion", Physics Education (Indian Association of Physics Teachers) 28 (2012) Article Number: 6 (10 pages) ISSN 0970-5953. (29) Yukio Kobayashi: "Common characteristics of elementary second-order ordinary differential equations with constant coefficients from a unified viewpoint", Far East Journal of Mathematical Education 9 (2012) 185-193. (30) Yukio Kobayashi: "Proof without words: tangent double angle identity", College Mathematics Journal 44 (2013) 47. (31) Yukio Kobayashi: "Recursion formulae of 1^{\ell} + 2^{\ell} + \cdots + n^{\ell} and their combinatoric meaning in terms of the tree diagrams", International Journal of Mathematical Education in Science and Technology 44 (2013) 132-142. (32) Yukio Kobayashi: "Proof without words: triangular sums", College Mathematics Journal 44 (2013) 189. (33) Yukio Kobayashi: "Visual thinking of mathematical concepts", Far East Journal of Mathematical Education 10 (2013) 157-174. (34) Yukio Kobayashi: "Proof without words: componendo et dividendo, a theorem on proportions", The College Mathematics Journal 45 (2014) 115. (35) Yukio Kobayashi: "Simple and intuitive mathematics for learning elementary physics", JPS Conference Proceedings 1 (2014) Proceedings of the 12th Asia Pacific Physics Conference (APPC12) 17036 [4 pages] DOI: http://dx.doi.org/10.7566/JPSCP.1.017036 e-ISBN: 978-4-89027-101-6. (36) Yukio Kobayashi: "Commutative law for the multiplication of matrices as viewed in terms of Hankel's principle", European Journal of Pure and Applied Mathematics 7 (2014) 405-411. (37) Yukio Kobayashi: "Derivation of some formulae in combinatrics by heuristic method", International Journal of Mathematical Education in Science and Technology 46 (2015) 469-476. [Erratum 46 (2015) 795.] (38)Yukio Kobayashi: "Elementary remarks on the ambiguous explanation of pressure in chemical thermodynamics", Physics Education (IAPT) 31 (2015) Article Number: 5 (7 pages) ISSN 0970-5953. The Physical Society of Japan The Physics Education Society of Japan The Biophysical Society of Japan The Japan Society of Applied Physics

ページ公開日：2017/08/07
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