Quaternions in molecular modeling.

[1]  Clifford,et al.  Preliminary Sketch of Biquaternions , 1871 .

[2]  J. Maxwell A Treatise on Electricity and Magnetism , 1873, Nature.

[3]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[4]  P. Tait Vector Analysis , 1893, Nature.

[5]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[6]  R. Bambah,et al.  On lattice coverings by spheres , 1954 .

[7]  M. E. Muller Some Continuous Monte Carlo Methods for the Dirichlet Problem , 1956 .

[8]  A. D. McLaren,et al.  Optimal numerical integration on a sphere , 1963 .

[9]  G. Wahba A Least Squares Estimate of Satellite Attitude , 1965 .

[10]  J. Stuelpnagel,et al.  A Least Squares Estimate of Satellite Attitude (Grace Wahba) , 1966 .

[11]  S. K. Zaremba,et al.  Good lattice points, discrepancy, and numerical integration , 1966 .

[12]  Harold Conroy,et al.  Molecular Schrödinger Equation. VIII. A New Method for the Evaluation of Multidimensional Integrals , 1967 .

[13]  G. Marsaglia Choosing a Point from the Surface of a Sphere , 1972 .

[14]  Max Wolfsberg,et al.  Investigations of a nonrandom numerical method for multidimensional integration , 1973 .

[15]  白井 良明 MITのArtificial Intelligence Laboratory , 1973 .

[16]  D. J. Adams,et al.  Grand canonical ensemble Monte Carlo for a Lennard-Jones fluid , 1975 .

[17]  J. Keat Analysis of Least-Squares Attitude Determination Routine DOAO , 1977 .

[18]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[19]  J. Seidel,et al.  Spherical codes and designs , 1977 .

[20]  John Milnor,et al.  Analytic Proofs of the “Hairy Ball Theorem” and the Brouwer Fixed Point Theorem , 1978 .

[21]  James R. Wertz,et al.  Spacecraft attitude determination and control , 1978 .

[22]  J. D. Doll,et al.  Brownian dynamics as smart Monte Carlo simulation , 1978 .

[23]  M. Rao,et al.  On the force bias Monte Carlo simulation of water: methodology, optimization and comparison with molecular dynamics , 1979 .

[24]  Mihaly Mezei,et al.  A cavity-biased (T, V, μ) Monte Carlo method for the computer simulation of fluids , 1980 .

[25]  M. Shuster,et al.  Three-axis attitude determination from vector observations , 1981 .

[26]  Olivier D. Faugeras,et al.  A 3-D Recognition and Positioning Algorithm Using Geometrical Matching Between Primitive Surfaces , 1983, IJCAI.

[27]  Ken Shoemake,et al.  Animating rotation with quaternion curves , 1985, SIGGRAPH.

[28]  Good Lattice Pointsの計算法について , 1986 .

[29]  Berthold K. P. Horn,et al.  Closed-form solution of absolute orientation using unit quaternions , 1987 .

[30]  R. Diamond A note on the rotational superposition problem , 1988 .

[31]  S. Kearsley On the orthogonal transformation used for structural comparisons , 1989 .

[32]  R. Diamond Chirality in rotational superposition , 1990 .

[33]  Distance-scaled Force Biased Monte Carlo Simulation for Solutions containing a Strongly Interacting Solute , 1991 .

[34]  Richard A. Volz,et al.  Estimating 3-D location parameters using dual number quaternions , 1991, CVGIP Image Underst..

[35]  A. Mark,et al.  Fluctuation and cross-correlation analysis of protein motions observed in nanosecond molecular dynamics simulations. , 1995, Journal of molecular biology.

[36]  Claus Müller Analysis of Spherical Symmetries in Euclidean Spaces , 1997 .

[37]  R. Littlejohn,et al.  Gauge fields in the separation of rotations and internal motions in the n-body problem , 1997 .

[38]  Roldan Pozo,et al.  Template Numerical Toolkit for Linear Algebra: High Performance Programming With C++ and the Standard Template Library , 1997, Int. J. High Perform. Comput. Appl..

[39]  Levitt,et al.  Computation of Orientational Averages in Solid-State NMR by Gaussian Spherical Quadrature. , 1998, Journal of magnetic resonance (San Diego, Calif. 1997 : Print).

[40]  W. Hamilton ON A NEW SPECIES OF IMAGINARY QUANTITIES CONNECTED WITH A THEORY OF QUATERNIONS By William Rowan Hamilton , 1999 .

[41]  Jack Dongarra,et al.  LAPACK Users' guide (third ed.) , 1999 .

[42]  D R Flower Rotational superposition: a review of methods. , 1999, Journal of molecular graphics & modelling.

[43]  Nagabhushana Prabhu Fixed points of rotations of n-sphere , 1999 .

[44]  W. Hamilton ON QUATERNIONS By , 1999 .

[45]  V. Lebedev,et al.  A QUADRATURE FORMULA FOR THE SPHERE OF THE 131ST ALGEBRAIC ORDER OF ACCURACY , 1999 .

[46]  Jack Dongarra,et al.  LAPACK Users' Guide, 3rd ed. , 1999 .

[47]  L. Rivest,et al.  Using orientation statistics to investigate variations in human kinematics , 2000 .

[48]  W. Wriggers,et al.  Fast rotational matching. , 2002, Acta crystallographica. Section D, Biological crystallography.

[49]  N. J. A. Sloane,et al.  Spherical designs in four dimensions , 2003, Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674).

[50]  K. Dill,et al.  Using quaternions to calculate RMSD , 2004, J. Comput. Chem..

[51]  Jur P. van den Berg,et al.  A method to obtain a near‐minimal‐volume molecular simulation of a macromolecule, using periodic boundary conditions and rotational constraints , 2004, J. Comput. Chem..

[52]  Joseph D. Darcy,et al.  How Java’s Floating-Point Hurts Everyone Everywhere , 2004 .

[53]  Stephan Brunner,et al.  Method for computing protein binding affinity , 2004, J. Comput. Chem..

[54]  Volker Schönefeld Spherical Harmonics , 2019, An Introduction to Radio Astronomy.

[55]  Weblog Wikipedia,et al.  In Wikipedia the Free Encyclopedia , 2005 .