Richard Duffin

Q: What Schools Are Affiliated With Richard Duffin

Richard Duffin is affiliated with the following schools: Carnegie Mellon University, Purdue University, University of Illinois Urbana-Champaign

Richard Duffin's AcademicInfluence.com Rankings

Richard Duffin

Physics

#919

World Rank

#1479

Historical Rank

#415

USA Rank

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Physics

Why Is Richard Duffin Influential?

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According to Wikipedia, Richard James Duffin was an American physicist, known for his contributions to electrical transmission theory and to the development of geometric programming and other areas within operations research.

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Richard Duffin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A class of nonharmonic Fourier series (1952) (2272)
Geometric Programming : Theory and Application (1967) (556)
Topology of series-parallel networks (1965) (524)
On The Characteristic Matrices of Covariant Systems (1938) (370)
Geometric Programming (1974) (365)
Series and parallel addition of matrices (1969) (337)
Impedance Synthesis without Use of Transformers (1949) (233)
Basic properties of discrete analytic functions (1956) (177)
A Minimax Theory for Overdamped Networks (1955) (159)
Khintchine’s problem in metric Diophantine approximation (1941) (157)
Potential theory on a rhombic lattice (1968) (128)
Geometric programming with signomials (1973) (126)
Instability, uniqueness, and nonexistence theorems for the equation ut=uxx−uxtx on a strip (1965) (125)
The extremal length of a network (1962) (122)
On the algebra of networks (1953) (119)
The Dirichlet problem for the vibrating string equation (1939) (118)
On fourier’s analysis of linear inequality systems (1974) (117)
Discrete potential theory (1953) (116)
A Variational Problem Relating to Cooling Fins (1959) (114)
Linearizing Geometric Programs (1970) (109)
A refinement of an inequality of the brothers Markoff (1941) (101)
Nonlinear networks. IIb (1946) (91)
On a Question of Hadamard Concerning Super-Biharmonic Functions (1948) (88)
An Infinite Linear Program with a Duality Gap (1965) (86)
Distributed and Lumped Networks (1959) (75)
Some properties of functions of exponential type (1938) (74)
A passive wall design to minimize building temperature swings (1984) (65)
Some notes on an expansion theorem of Paley and Wiener (1942) (64)
Algorithms for Classical Stability Problems (1969) (54)
Continuation of biharmonic functions by reflection (1955) (52)
The Rayleigh-Ritz method for dissipative or gyroscopic systems (1960) (51)
Yukawan potential theory (1971) (51)
Lower Bounds for Eigenvalues (1947) (50)
Power Series with Bounded Coefficients (1945) (50)
Duality Theory for Geometric Programming (1966) (49)
Computational methods for solving static field and eddy current problems via Fredholm integral equations (1979) (48)
On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle (1980) (46)
Duality in Semi-Infinite Linear Programming (1983) (45)
On some inequalities of S. Bernstein and W. Markoff for derivatives of polynomials (1938) (41)
Reversed Geometric Programs Treated by Harmonic Means (1972) (40)
Equipartition of energy in wave motion (1970) (38)
Network Synthesis Through Hybrid Matrices (1966) (37)
On the fundamental eigenfunctions of a clamped punctured disk (1992) (34)
An analysis of the Wang algebra of networks (1959) (32)
An additive eigenvalue problem of physics related to linear programming (1987) (32)
Difference equations of polyharmonic type (1958) (30)
Use of layered walls to reduce building temperature swings (1984) (30)
A convolution product for discrete function theory (1964) (29)
Asymptotic expansion of double Fourier transforms (1960) (28)
Dual Programs and Minimum Cost (1962) (27)
Geometric programs treated with slack variables (1972) (27)
Convex analysis treated by linear programming (1973) (26)
Cost Minimization Problems Treated by Geometric Means (1962) (26)
Formulation of Linear Programs in Analysis. I: Approximation Theory (1968) (25)
A simple design method for the Trombe wall (1985) (25)
Some inequalities concerning functions of exponential type (1937) (23)
Optimum shape of a cooling fin on a convex cylinder (1967) (22)
Matrix Operations Induced by Network Connections (1975) (21)
Analytic Continuation in Elasticity (1956) (21)
The Degree of a Rational Matrix Function (1963) (20)
Temperature control of buildings by adobe wall design (1981) (20)
Impossible Behavior of Nonlinear Networks (1955) (19)
On exterior boundary value problems in linear elasticity (1958) (19)
The maximum principle and biharmonic functions (1961) (18)
An integral equation formulation of Maxwell's equations (1975) (18)
ALMOST DEFINITE OPERATORS AND ELECTRO-MECHANICAL SYSTEMS* (1978) (17)
Distortionless wave propagation in inhomogeneous media and transmission lines (1976) (17)
Positivity of weak solutions of non-uniformly elliptic equations (1975) (16)
Nodal Lines of a Vibrating Plate (1952) (16)
Clark's Theorem on linear programs holds for convex programs. (1978) (15)
Hilbert transforms in yukawan potential theory. (1972) (15)
6. Infinite Programs (1957) (15)
Parallel subtraction of matrices. (1972) (15)
Rubel's universal differential equation. (1981) (14)
The Discrete Analogue of a Class of Entire Functions (1968) (14)
Are adobe walls optimal phase-shift filters? (1980) (13)
Pseudo-Hamiltonian mechanics (1962) (12)
Chrystal's theorem on differential equation systems (1964) (12)
Dualizing the Poisson summation formula. (1991) (12)
Representation of Fourier integrals as sums. I (1945) (12)
An extrapolator and scrutator (1960) (12)
Some problems of mathematics and science (1974) (11)
A convolution product for the solutions of partial difference equations (1968) (11)
Discrete geometric function theory II (1978) (11)
Elementary operations which generate network matrices (1955) (11)
Representation of Fourier integrals as sums. III (1950) (11)
The Influence of Poisson’s Ratio on the Vibrational Spectrum (1969) (10)
Stability of systems with nonlinear damping (1968) (10)
An orthogonality theorem of dines related to moment problems and linear programming (1967) (10)
The proximity of (algebraic) geometric programming to linear programming (1972) (9)
An exponomial extrapolator (1961) (8)
Two-dimensional Hilbert transforms (1957) (8)
Wang algebra and matroids (1978) (8)
Geometric programming and the Darwin-Fowler method in statistical mechanics (1970) (8)
THE GYRATION OPERATOR IN NETWORK THEORY (1965) (8)
Duality Inequalities of Mathematics and Science (1970) (8)
Free suspension and earnshaw's theorem (1963) (8)
The Virial Theorem and Quantum Statistics (1935) (7)
Network models for maximization of heat transfer under weight constraints (1972) (7)
Extrapolating time series by discounted least squares (1967) (7)
Convex programs having some linear constraints. (1977) (7)
Geometric programming, chemical equilibrium, and the anti-entropy function. (1969) (7)
On dualizing a multivariable Poisson summation formula (1997) (6)
Optimum heat transfer and network programming (1967) (6)
Note on polyharmonic functions (1961) (6)
Dual extremum principles relating to optimum beam design (1973) (6)
DISCRETE ANALYTIC CONTINUATION OF SOLUTIONS OF DIFFERENCE EQUATIONS (1964) (6)
STATISTICS OF PARTICLE MEASUREMENT AND OF PARTICLE GROWTH (1953) (6)
A limiting infisup theorem (1982) (6)
Lagrangean functions and affine minorants (1981) (6)
The reciprocal of a Fourier series (1962) (5)
Dual extremum principles relating to cooling fins (1973) (5)
Exponential decay in nonlinear networks (1956) (5)
A note on Poisson’s integral (1957) (5)
The Markoff-Duffin-Schaeffer inequalities abstracted. (1985) (4)
Numerical Estimation of Optima by use of Duality Inequalities (1983) (4)
Optimal thermal phase shift filters (1983) (4)
The conductivity of checkerboards treated by conjugate functions (1990) (3)
A Homotopy based approach to unconstrained optimization (1979) (3)
The patron saint of mathematics (1993) (3)
Algorithms for localizing roots of a polynomial and the Pisot Vijayaraghavan numbers. (1978) (3)
Optimization and insight by geometric programming (1986) (3)
Estimating Dirichlet's integral and electrical conductance for systems which are not self-adjoint (1968) (3)
On the Nonlinear Method of Wilkins for Cooling Fin Optimization (1973) (3)
The potential energy of an electric charge (1964) (3)
Vibration of a beaded string analyzed topologically (1974) (3)
Nonlinear networks. IV (1950) (3)
On the extension of a functional inequality of S. Bernstein to non-analytic functions (1940) (3)
Theory of monotonic transformations applied to optimal design problems (1980) (2)
Finding the input resistance of a resistor-diode network (1984) (2)
Functions whose Fourier-Stieltjes coefficients approach zero (1949) (2)
An abstract theory of the Jordan-Hölder composition series (1943) (2)
On Wave Equation Vector-Matrices and Their Spurs (1950) (2)
A duality theory for quasiconcave programs (1980) (2)
NATURAL VIBRATIONS OF CANTILEVERED TRIANGULAR PLATES I. (1952) (2)
The potential energy of an electric charge is a superharmonic function (1967) (2)
Bounds for the rth characteristic frequency of a beaded string or of an electrical filter. (1980) (2)
Lines of best fit by graphics and the Wald line (1991) (2)
Formulae Relating Some Equivalent Networks (1956) (2)
Apex duality for constrained optimization (1986) (1)
Orthogonal saw-tooth functions (1961) (1)
Function classes invariant under the Fourier transform (1948) (1)
An Elementary Treatment of Lagrange Multipliers (1980) (1)
Inequalities induced by network connections II. Hybrid connections (1979) (1)
On the Change of Natural Frequencies Induced by Small Constraints (1957) (1)
A Generalization of the Ratio Test for Series (1948) (1)
On seeing progressions of constant cross ratio (1993) (1)
The Heaviside Operational Calculus (1937) (1)
Tripartite graphs to analyze the interconnection of networks (1972) (1)
SOME SIMPLE UNITARY TRANSFORMATIONS (1952) (1)
Duality inequalities as a numerical aid (1984) (1)
Approximate Solution of Differential Equations by a Variational Method (1958) (1)
Measurement of magnetic susceptibility with the Hughes induction balance (1946) (1)
The Markoff-hDuffin-Schaeffer inequalities abstracted ( Chebyshev system / Chebyshev polynomial / Haar system ) (2003) (0)
Reexamination of Ohm's law and a relation to generalized analytic functions (1991) (0)
Galvanomagnetic and Thermomagnetic Phenomena. (1935) (0)
Adjacency matrix concepts for the analysis of the interconnection of networks (1974) (0)
A formula for the potential of a polygon with varying charge density (1983) (0)
The AEMS (Analysis of Electrical and Mechanical Systems) Project in Applied Mathematics at Carnegie-Mellon University. (1982) (0)
A. C. Schaeffer, Mathematician. (1957) (0)
Nonuniformly elliptic equations: Positivity of weak solutions (1973) (0)
Constructive approaches to mathematical models : proceedings of a conference in honor of R.J. Duffin, Pittsburgh, PA, 10-14 July, 1978 (1979) (0)
A Class of Optimal Design Problems with Linear Inequality Constraints (1979) (0)
The Laplace Heaviside method for boundary value problems (1939) (0)
Convex programs having some linear constraints ( Lagrange multipliers / duality gap ) (0)
Voltage step-up filters not using transformers (1994) (0)
On the Behavior of a Certain Supraconducting Circuit (1937) (0)
The AEMs Project in Applied Mathematics at Carnegie-Mellon University. Comprehensive Report, Period 1970-1980. (1980) (0)
A Theory of Ring-Stiffened Cylinders (1961) (0)

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What Schools Are Affiliated With Richard Duffin?

Richard Duffin is affiliated with the following schools: