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Asymptotically lacunary I2-invariant equivalence [PDF]
Journal of Intelligent & Fuzzy Systems, 2019 In this paper, the concept of asymptotically lacunary I 2 -invariant equivalence, the concepts of asymptotically lacunary σ 2 -equivalence and the concept of ...
Ulusu, Uğur, Dündar, Erdinç
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The American Mathematical Monthly, 2005
Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey
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Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey
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Asymptotic Revenue Equivalence in Auctions
Journal of Economic Theory, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bali, Valentina, Jackson, Matthew
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Asymptotically Equivalent Singular Perturbation Problems
Studies in Applied Mathematics, 1976A study is made of a two‐point nonlinear boundary‐value problem with a small parameter multiplying the highest derivative. It is shown that under certain circumstances the asymptotic solution to the problem is expressible in terms of the solution to a linear boundary‐value problem—in which case the two problems are said to be asymptotically equivalent.
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Asymptotic Unitary Equivalence in KK-Theory
K-Theory, 2001We cite from the introduction: ``The versatility of KK-theory is due to some extent to the remarkable fact that all ``reasonable'' equivalence relations on the set of Kasparov-bimodules over a pair of (separable) \(C^*\)-algebras, ranging from homotopy to cobordism, prove to be the same.
Dadarlat, Marius, Eilers, Søren
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Asymptotic Equivalence of Seat Bias Models
Statistical Papers, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic equivalence of impulsive systems
Ukrainian Mathematical Journal, 2007We present sufficient conditions for the asymptotic equivalence of a nonlinear impulsive system and a nonlinear system without pulses. We also consider the case of the asymptotic equivalence of a weakly nonlinear impulsive system and a linear system with pulses.
O. M. Stanzhyts’kyi, O. O. Misyats’
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Asymptotic equivalence of difference systems
Journal of Difference Equations and Applications, 1995Using h- systems and (h, k)- dichotomies we obtain a number of results on asymptotic equivalence of bounded and unbounded solutions of difference systems.
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P-asymptotically Equivalent in Probability
Sarajevo Journal of MathematicsIn this paper we present the following definitions P-asymptotically equivalent probability of multiple $L$ and P-asymptotically probability regular. In addition to these definitions we asked and provide answers for the following questions. (1)If $x\stackrel{Probability}{\approx} y$ then what type of four dimensional matrices transformation will satisfy
Richard F. Patterson, Ekrem Savaş
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Asymptotic equivalence of spectral representations
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1975This paper develops necessary and sufficient conditions under which for every sequence of matrices diagonal in an orthonormal basis {u} there exists an asymptotically equivalent sequence in the class of matrices diagonal in some other basis {\upsilon} .
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