W. F. Harris

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All published works
Action Title Year Authors
+ Cardinal and anti‐cardinal points, equalities and chromatic dependence 2017 Tanya Evans
W. F. Harris
+ Uma aplicação das funções de matrizes na óptica linear 2013 João R. Cardoso
W. F. Harris
+ Achromatic axes and their linear optics 2012 W. F. Harris
+ PDF Chat Transferences of Purkinje systems 2011 W. F. Harris
+ PDF Chat Graphical construction of cardinal points from the transference 2011 W. F. Harris
+ Transferences of Heterocentric Astigmatic Catadioptric Systems Including Purkinje Systems 2010 W. F. Harris
+ Back- and Front-Vertex Powers of Astigmatic Systems 2009 W. F. Harris
+ PDF Chat Ray pencils of general divergency 2009 W. F. Harris
+ Optical Axes of Eyes and Other Optical Systems 2009 W. F. Harris
+ PDF Chat The metric geometric mean transference and the problem of the average eye 2008 W. F. Harris
+ PDF Chat Surfaces of tilted powera in symmetric dioptric power space 2007 Alan Rubin
W. F. Harris
+ Curvature of ellipsoids and other surfaces 2006 W. F. Harris
+ PDF Chat The exponential‐mean‐log‐transference as a possible representation of the optical character of an average eye 2006 W. F. Harris
João R. Cardoso
+ PDF Chat Curves and surfaces in the context of optometry. Part 1: Curves* 2005 W. F. Harris
+ PDF Chat The log-transference and an average Gaussian eye 2005 W. F. Harris
+ PDF Chat Eigenvalues of the Transferences of Gaussian Optical Systems 2005 W. F. Harris
+ Interconverting the matrix and principal‐meridional representations of dioptric power and reduced vergence 2000 W. F. Harris
+ Refraction and Keratometry: Departures from and Transformations toward Multivariate Normality 1997 Caroline A. Blackie
W. F. Harris
+ Invariance of Ophthalmic Properties under Spherocylindrical Transposition 1997 W. F. Harris
+ Testing Hypotheses on Dioptric Power 1992 W. F. Harris
+ Joint Distribution of Sphere, Cylinder, and Axis 1992 W. F. Harris
+ Meridional profiles of variance—covariance of dioptric power, Part 2. Profiles representing variation in one or more of sphere, cylinder and axis 1992 W. F. Harris
D. J. Malan
+ Constrained least‐squares estimation of surface curvature and dioptric power from meridional measurements 1992 W. F. Harris
+ Constrained least-squares estimation of surface curvature and dioptric power from meridional measurements 1992 W. F. Harris
+ Statistical inference on mean dioptric power: asymmetric powers and singular covariance 1991 W. F. Harris
+ Statistical inference on mean dioptric power: asymmetric powers and singular covariance 1991 W. F. Harris
+ Representation of dioptric power in Euclidean 3‐space 1991 W. F. Harris
+ Sagittae of Toroidal Surfaces 1990 W. F. Harris
+ Statistical inference on mean dioptric power: hypothesis testing and confidence regions 1990 W. F. Harris
+ Comparison of dioptric power 1990 W. F. Harris
+ Direct, vec and other squares, and sample variance—covariance of dioptric power 1990 W. F. Harris
+ Sagitta and Lens Thickness: Generalized Equations for Arbitrary Surfaces 1989 W. F. Harris
+ PDF Chat Convergent solutions of ordinary linear homogeneous difference equations 1963 W. J. A. Culmer
W. F. Harris
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Direct, vec and other squares, and sample variance—covariance of dioptric power 1990 W. F. Harris
6
+ Transferences of Heterocentric Astigmatic Catadioptric Systems Including Purkinje Systems 2010 W. F. Harris
4
+ PDF Chat The exponential‐mean‐log‐transference as a possible representation of the optical character of an average eye 2006 W. F. Harris
João R. Cardoso
4
+ Statistical inference on mean dioptric power: hypothesis testing and confidence regions 1990 W. F. Harris
4
+ Dioptric Power in an Off-Axis Meridian 1986 Michael P. Keating
4
+ Representation of dioptric power in Euclidean 3‐space 1991 W. F. Harris
3
+ THE ALGEBRA OF SPHERO-CYLINDERS 1985 H. Saunders
3
+ TRANSFORMATION OF SPHERO‐CYLINDERS. I. RANKING PROCEDURE 1985 H. Saunders
3
+ Comparison of dioptric power 1990 W. F. Harris
2
+ Multivariate data analysis in industrial practice 1983 Paul Lewi
2
+ Lectures on Classical Differential Geometry. 1952 Claude Springer
D. J. Struik
2
+ Schaum's outline of theory and problems of differential geometry 1969 Martine M. Lipschutz
2
+ Statistical inference on mean dioptric power: asymmetric powers and singular covariance 1991 W. F. Harris
2
+ Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics 1979 H. V. Henderson
S. R. Searle
2
+ Introduction to Multivariate Analysis 1980 Christopher Chatfield
Alexander J. Collins
2
+ PDF Chat An explicit formula for the matrix logarithm 2005 João R. Cardoso
2
+ PDF Chat Modern geometrical optics 1998 Richard Ditteon
2
+ Symplectic Techniques in Physics 1984 Victor Guillemin
Shlomo Sternberg
2
+ TRANSFORMATION OF SPHERO‐CYLINDERS. II. MEAN, VARIANCE AND STANDARD DEVIATION 1985 H. Saunders
2
+ Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory 2005 Dennis S. Bernstein
2
+ An Introduction to Applied Multivariate Statistics. 1984 R. Choudary Hanumara
Muni S. Srivastava
Earl M. A. Carter
2
+ PDF Chat The vec-permutation matrix, the vec operator and Kronecker products: a review 1981 H. V. Henderson
S. R. Searle
2
+ Optical Axes of Eyes and Other Optical Systems 2009 W. F. Harris
2
+ PDF Chat A remark on analyticity of function algebras 1963 Irving Glicksberg
1
+ PDF Chat Spectral permanence of scalar operators 1963 Gregers Krabbe
1
+ PDF Chat Conjugate functions in Orlicz spaces 1963 Robert D. Ryan
1
+ PDF Chat Generalized convex inequalities 1963 Samuel Karlin
Albert Novikoff
1
+ PDF Chat Finite-dimensional perturbation and a representaion of scattering operator 1963 S. T. Kuroda
1
+ PDF Chat On the representation of doubly stochastic operators 1963 John V. Ryff
1
+ Functional calculus for sesquilinear forms and the purification map 1975 W. Pusz
S. L. Woronowicz
1
+ PDF Chat Formal theory of irregular linear difference equations 1930 George D. Birkhoff
1
+ Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix Products 1969 Heinz Neudecker
1
+ PDF Chat Entropy and singularity of infinite convolutions 1963 Adriano M. Garsia
1
+ Sagitta and Lens Thickness: Generalized Equations for Arbitrary Surfaces 1989 W. F. Harris
1
+ PDF Chat On a class of equivalent systems of linear inequalities 1963 Isidore Heller
1
+ PDF Chat Common fixed points for commuting contraction mappings 1963 Ralph DeMarr
1
+ PDF Chat Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point 1955 H. L. Turrittin
1
+ PDF Chat Bounds for eigenvalues and generalized convexity 1963 D. O. Banks
1
+ PDF Chat A note on uncountably many disks 1963 Joseph Martin
1
+ A new positive definite geometric mean of two positive definite matrices 1997 Miroslav Fiedler
Vlastimil Pták
1
+ Mean and variance of meridional powers of sphero-cylindrical prescriptions. 1984 P. W. Churms
1
+ The Mathematics of Geometrical and Physical Optics: The k-function and its Ramifications 2006 Orestes N. Stavroudis
1
+ Applied Multivariate Statistical Analysis. 1988 Andrea Johnson
Dean W. Wichern
1
+ Aspects of Multivariate Statistical Theory 1984 Leon Jay Gleser
Robb J. Muirhead
1
+ Interconverting the matrix and principal‐meridional representations of dioptric power and reduced vergence 2000 W. F. Harris
1
+ Curvature of ellipsoids and other surfaces 2006 W. F. Harris
1
+ PDF Chat Über Abbildungen von Mengen 1963 Miroslav Novotný
1
+ An Introduction to Applied Multivariate Statistics 1984 Josef Schmee
1
+ PDF Chat The log-transference and an average Gaussian eye 2005 W. F. Harris
1
+ Linear Systems of Difference Equations 2002 1