Results 281 to 290 of about 911,522 (334)
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Quadratic Social Welfare Functions
Journal of Political Economy, 1992John Harsanyi has provided an intriguing argument that social welfare can be expressed as a weighted sum of individual utilities. His theorem has been criticized on the grounds that a central axiom, that social preference satisfies the independence axiom, has the morally unacceptable implication that the process of choice and considerations of ex ante ...
Epstein, Larry G, Segal, Uzi
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Mathematische Zeitschrift, 2004
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Leuzinger, E., Pittet, Ch.
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Leuzinger, E., Pittet, Ch.
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Functional quadratic regression
Biometrika, 2010SUMMARY We extend the common linear functional regression model to the case where the dependency of a scalar response on a functional predictor is of polynomial rather than linear nature. Focusing on the quadratic case, we demonstrate the usefulness of the polynomial functional regression model, which encompasses linear functional regression as a ...
Fang Yao, Hans-Georg Müller
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DEFINITENESS OF QUADRATIC FUNCTIONALS
Analysis, 2003This paper deals with the nonnegativity (\({\mathcal F}_0\geq0\)) and positivity (\({\mathcal F}_0>0\)) of the (second variation) quadratic functional of the form \[ {\mathcal F}_0(x,u) := \int_a^b \{ x^TC\,x+u^TB\,u\}(t)\,dt \] subject to admissible pairs \((x,u)\), i.e., \(\dot x(t)=A(t)\,x(t)+B(t)\,u(t)\) for \(t\in[a,b]\), and separated boundary ...
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The quadratic function and quadratic equations
1985The function f(x), where f(x) = ax2 + bx + c, and a, b, c are constants, a ≠ 0, is called a quadratic function, or sometimes a quadratic polynomial. From elementary algebra $${(x + d)^2} \equiv {x^2} + 2dx + {d^2}.$$ Using this, we write $$a{x^2} + bx + c \equiv a\left( {{x^2} + \frac{b}{a}x + \frac{c}{a}} \right) \equiv a\left[ {{{\left( {x
J. E. Hebborn, C. Plumpton
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Quadratic Operators and Quadratic Functional Equation
2012In the first part of this paper, we consider some quadratic difference operators (e.g., Lobaczewski difference operators) and quadratic-linear difference operators (d’Alembert difference operators and quadratic difference operators) in some special function spaces X λ . We present results about boundedness and find the norms of such operators.
M. Adam, S. Czerwik
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Set-Valued Quadratic Functional Equations
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Jung Rye +3 more
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Quadratic structure functions and scintillation
Applied Optics, 1985The quadratic structure function (QSF) approximation by itself does not imply a tilt-only medium in which log-amplitude fluctuations are absent. When the QSF is applied to the fourth-order coherence function, the signal variance has contributions from log-amplitude fluctuations and beam wander but not beam spreading.
M A, Plonus, S J, Wang
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Cryptography in Quadratic Function Fields
Designs, Codes and Cryptography, 2001The paper considers the discrete logarithm problem in quadratic function fields of odd characteristic. In the imaginary representation of such a field, this is the discrete logarithm problem in the ideal class group of the field, or equivalently, in the Jacobian of the curve defining the function field.
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