Yukio Kobayashi

Mathematical physics (principles of protein conformation, quantum mechanics of tunneling effects in complex systems, inelastic scattering of X-rays by electrons in solids)

As part of theoretical physics, we are applying mathematical science to theoretical research into the principles of structural formation of biopolymers, quantum mechanics of the tunneling effect in composite systems (simple quantum three-body systems), and inelastic scattering of X-rays by electrons in solids.

Linear Algebra I and II, Probability and Statistics, Ordinary Differential Equations, Linear Mathematics, Basic Mechanics, Computer Mathematical Models A and B

book:
(1) Yukio Kobayashi: "Relations among Powers of 2, Combinations, and Symbolic Algebra",
Reasoning and Sense-Making Activities for High School Mathematics: Selections from Mathematics Teacher a slightly modified title from ours) (National Council of Teachers of Mathematics, 2012) pp. 82-84. ISBN 978-0-87353-655-4.
(2) Yukio Kobayashi: Mathematics Office Hours: Calculus and Linear Algebra in the Field - Putting the Basics of Chemistry and Biology into Practice (Gendai Suugakusha, 2011) B5, 572 pp. ISBN 978-4-7687-0419-6.
(3) Yukio Kobayashi: Mathematics Terminal: Linear Algebra Ideas: Let's explore 'why we think like this' from behind the scenes" (Gendai Suugakusha, 2008) B5 edition, 380 pp. ISBN 978-4-7687-0378-6.
(4) Japanese Society for Bioinformatics (ed.): Bioinformatics Encyclopedia (Kyoritsu Shuppan, 2006)
Chapter 3 Physical Science Classical Mechanics pp. 211 - 218.
(5) The Society for Biotechnology, Japan (ed.): Handbook of Biotechnology (Corona Publishing, 2005)
3.2.3 [2] pp. 185 - 188.
(6) Yukio Kobayashi: Mechanics Station (Morikita Publishing, 2002) 256pp. ISBN 4-627-16061-5 C3042.
(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.
Academic papers:
(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 Mathematics Journal (Mathematical 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 [translated by Akiyama Jin, Nara Chie, and Sakai Toshinori: Exhibition of Proofs II: Enjoying Mathematics through Viewing (2003, Tokai University Press) p. 68].
(7) Yukio Kobayashi: "Misunderstanding and Confusion of the Concept of Physical Quantity", Journal of the Physics Education Society of Japan 47 (1999) 338-340.
(8) Yukio Kobayashi: "Interpretation and notation of logarithms of quantities", Journal of the Physics Education Society of Japan 48 (2000) 492-495.
(9) Yukio Kobayashi and Nobuhiko Saito: "Secondary Structure Prediction and Folding of Globular Protein: Refolding of Ferredoxin", Journal of Protein Chemistry 20 (2001) 647-654.
(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: "Information-based Physics Experimental Education Using Fractal Growth of Silver Trees", The Physical Society of Japan: Physics Education in University, 2001-1 (2001) 46 - 49.
(13) Yukio Kobayashi: "Center of rotation in the planar motion of a rigid body", Journal of the Physical Society of Japan (BUTSURI) 57 (2002) 767 - 768.
(14) Yukio Kobayashi: "The Meaning of Measurement of Physical Quantities: The Intersection of Physics Education and Arithmetic/Mathematics Education", Journal of the Physics Education Society of Japan, 50 (2002) 243-247.
(15) Yukio Kobayashi: "Notes on the correspondence between mechanical and electrical systems", The Physical Society of Japan: Physics Education in University, 2003-1 (2003) 29-33.
(16) 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.
(17) Yukio Kobayashi, Koichi Takahashi, Takashi Niitsu and Setsuko Shimoida, "Mathematical Modeling of Metal Leaves", Mathematics Magazine 76 (2003) 295 - 298.
(18) Yukio Kobayashi: "A Simple Derivation of the Doppler Effect Formulae'', Physics Update 8 (2003) 22 - 24.
(19) Yukio Kobayashi: "Experiment on the change in volume and buoyancy due to mixing of liquids," Kodomo no Kagaku, June issue (2005, Seibundo Shinkosha) pp. 68-69.
(20) Yukio Kobayashi: "Instantaneous Center of Rotation in Plane Motion of Sliding Rod", Physics Update 9 (2005) 35-37.
(21) Yukio Kobayashi and Jim Boyd: "A Geometrical Interpretation of the Triple Angle Formulas", An International Journal Mathematics and Informatics Quarterly 15 - 3 (2005) 93 - 95.
(22) Yukio Kobayashi: "The mechanism of arithmetic operations of physical quantities: the meaning of unit quantities", Journal of the Physics Education Society of Japan 53 (2005) 326 - 331.
(23) Yukio Kobayashi: "Notes on the concepts of number of elementary particles and amount of substance", Chemical Society of Japan: Chemistry and Education 53 (2005) 643 - 644.
(24) Yukio Kobayashi: "Relations Among Powers of 2, Combinations, and Symbolic Algebra", Mathematics Teacher 99 - 8 (2006) 577 - 578.
(25) 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).
(26) Yukio Kobayashi and Jim Boyd: "Triangles As Viewed from Above", An International Journal Mathematics and Informatics Quarterly 17-3/4 (2007) 116-120.
(27) Yukio Kobayashi: "Intuitive Understanding of Solutions of Partially Differential Equations", International Journal of Mathematical Education in Science and Technology 39 (2008) 365-371.
(28) Yukio Kobayashi: "Remarks on viewing situation in a rotating frame", European Journal of Physics 29 (2008) 599-606.
(29) Yukio Kobayashi: "Simple demonstration in the classroom: intuitive visualization of relative circular motion in a two-body problem", Physics Education 45 (2010) 654-657.
(30) Yukio Kobayashi: "Integral representation of the pictorial proof of \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.
(31) Yukio Kobayashi: "Geometrical meaning of arithmetic series \sum_{k=1}^{n} k$, $\displaystyle \sum_{k=1}^{n} k^{2}, and \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.
(32) Yukio Kobayashi: "The Meaning of Wavelength in the Cause of the Doppler Effect of Sound," Journal of the Physics Education Society of Japan 59 (2011) 108-111.
(33) 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.
(34) 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.
(35) Yukio Kobayashi: "Proof without words: tangent double angle identity", College Mathematics Journal 44 (2013) 47.
(36) Yukio Kobayashi: "Recursion formula 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.
(37) Yukio Kobayashi: "Proof without words: triangular sums", College Mathematics Journal 44 (2013) 189.
(38) Yukio Kobayashi: "Visual thinking of mathematical concepts", Far East Journal of Mathematical Education 10 (2013) 157-174.
(39) Yukio Kobayashi:
"Proof without words: componendo et dividendo, a theorem on proportions", The College Mathematics Journal 45 (2014) 115.
(40) 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.
(41) 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.
(42) Yukio Kobayashi:
"Derivation of some formula in combinatrics by heuristic method", International Journal of Mathematical Education in Science and Technology 46 (2015) 469-476. [Erratum 46 (2015) 795.]
(43) 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.
(44) Yukio Kobayashi: "Work done by internal forces in a system of objects with constraints," Journal of the Physics Education Society of Japan 63 (2015) 104-107.

The Physical Society of Japan: Member of the New Book Introduction Subcommittee (November 1996 - September 1998)
Japan Society of Physics Education
Biophysical Society of Japan
Japan Society for Artificial Intelligence: Type 2 Research Group (Molecular Bioinformatics Research Group) Liaison Committee Member (May 1998-)
Vice Secretary of the Physics Education Division of the Japan Society of Applied Physics (April 2007-March 2009), Vice Editorial Chair (April 2011-present)