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  • Articles  (675)
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  • 1985-1989  (675)
  • 1965-1969
  • 1986  (675)
  • Mathematics  (627)
  • Education  (48)
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  • Articles  (675)
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  • 1985-1989  (675)
  • 1965-1969
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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic and oscillatory properties of a class of operator-differential inequalities (1986)
    Springer
    Annali di matematica pura ed applicata 143 (1986), S. 197-205 
    Details
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The present paper studies some asymptotic (including oscillatory) properties of the solutions of operator-differential inequalities of the form $$[(Lx](t)]^{(n)} + (Fx)(t) \leqslant 0,$$ where $$L:\tilde C^{n - 1} [t_0 ,\infty ] \to \tilde C^{n - 1} [t_0 ,\infty ],F:\tilde C^{n - 1} [t_0 ,\infty ] \to \tilde C^{ - 1} [t_1 ,\infty ),t_1 \geqslant t_0 $$ (the latter is the spaceof locally summable functions). As an application of the obtained results, theorems are proved]or the asymptotic behaviour of the solutions of certain classes of functional-differential andintegro-differential neutral type equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01769216
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    Paper (German National Licenses)
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  • 2
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    Appearance of correlations and symmetry breaking in non-equilibrium reaction-diffusion systems (1986)
    Institute of Physics
    Details
    Publication Date: 1986-02-21
    Print ISSN: 0305-4470
    Electronic ISSN: 1361-6447
    Topics: Mathematics , Physics
    Published by Institute of Physics
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    PAPER CURRENT
  • 3
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    Silver nitrate + ethanol = explosion (1986)
    American Chemical Society
    Details
    Publication Date: 1986-11-01
    Print ISSN: 0021-9584
    Electronic ISSN: 1938-1328
    Topics: Chemistry and Pharmacology , Education
    Published by American Chemical Society
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  • 4
    Electronic Resource
    Electronic Resource
    Surface integrals in lower dimensions from higher-order Chern classes and a class of solutions in three dimensions (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 325-339 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that surface integrals, involving gauge and Higgs fields, in both odd and even dimensions can be obtained by dimensional reduction from Chern classes in higher dimensions. For odd dimensions, the physically useful dimensional reduction is characterized by MN=EN−p×Sp, and for even dimensions by MN =EN−p×S2×⋅ ⋅ ⋅×S2 ( 1/2 p times). The existence of a family of field configurations for which these surface integrals in three dimensions exist, and are nonzero, is presented. This family includes a Yang–Mills–Higgs (YMH) system with an algebra-valued Higgs field and one with the Higgs field in the reducible representation adjoint ⊕ scalar.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527405
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  • 5
    Electronic Resource
    Electronic Resource
    Linear transport theory in a random medium (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2526-2536 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The time-independent linear transport problem in a purely absorbing (no scattering) random medium is considered. A formally exact equation for the ensemble averaged distribution function 〈Ψ〉 is derived. Under the assumption of a two-fluid statistical mixture, with the transition from one fluid to the other assumed to be determined by a Markov process, an exact solution to this equation for 〈Ψ〉 is obtained. In the source-free case, this solution is shown to agree with the result obtained by ensemble averaging simple exponential attenuation. Several approximations to the exact equation for 〈Ψ〉 are considered, and numerical results given to assess the accuracy of these approximations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527320
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  • 6
    Electronic Resource
    Electronic Resource
    Eulerian parametrization of Wigner's little groups and gauge transformations in terms of rotations in two-component spinors (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2228-2235 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A set of rotations and Lorentz boosts is presented for studying the three-parameter little groups of the Poincaré group. This set constitutes a Lorentz generalization of the Euler angles for the description of classical rigid bodies. The concept of Lorentz-generalized Euler rotations is then extended to the parametrization of the E(2)-like little group and the O(2,1)-like little group for massless and imaginary-mass particles, respectively. It is shown that the E(2)-like little group for massless particles is a limiting case of the O(3)-like or O(2,1)-like little group. A detailed analysis is carried out for the two-component SL(2,c) spinors. It is shown that the gauge degrees of freedom associated with the translationlike transformation of the E(2)-like little group can be traced to the SL(2,c) spins that fail to align themselves to their respective momenta in the limit of large momentum and/or vanishing mass.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526994
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  • 7
    Electronic Resource
    Electronic Resource
    Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1225-1237 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Kadomtsev–Petviashvili (KP) equation (ut+3uux/2+ 1/4 uxxx)x +3σuyy/4=0 allows an infinite-dimensional Lie group of symmetries, i.e., a group transforming solutions amongst each other. The Lie algebra of this symmetry group depends on three arbitrary functions of time "t'' and is shown to be related to a subalgebra of the loop algebra A(1)4. Low-dimensional subalgebras of the symmetry algebra are identified, specifically all those of dimension n≤3, and also a physically important six-dimensional Lie algebra containing translations, dilations, Galilei transformations, and "quasirotations.'' New solutions of the KP equation are obtained by symmetry reduction, using the one-dimensional subalgebras of the symmetry algebra. These solutions contain up to three arbitrary functions of t.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527129
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  • 8
    Electronic Resource
    Electronic Resource
    Compatible additive permutations of finite integral bases (1986)
    Springer
    Graphs and combinatorics 2 (1986), S. 43-53 
    Details
    ISSN: 1435-5914
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Letπ be an additive permutation of a finite integral base. It is shown that ifB is symmetric, then there is a unique additive permutationρ ofB which is compatible withπ in the sense thatπρ −1 is also an additive permutation; and that, further, ifB is asymmetric, then there is no additive permutation ofB which is compatible withπ. Thus, in the symmetric case, there are no additively compatible sets (of permutations) forB of size greater than 3. This contrasts with the situation for completely compatible sets (equivalently, additive sequences of permutations) where for certainB compatible sets of size (resp. length) 4 or less are known, but where nothing is known of sets of greater size (resp. length). It is also noted how this result restricts the possibility of a useful multiplication theorem for the additive analogue of perfect systems of difference sets and graceful graphs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01788076
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  • 9
    Electronic Resource
    Electronic Resource
    The design of branch and bound algorithms for a class of nonlinear integer programs (1986)
    Springer
    Annals of operations research 5 (1986), S. 463-484 
    Details
    ISSN: 1572-9338
    Keywords: Branch and bound design ; tree enumeration strategies ; discrete nonlinear programs ; nonlinear integer test problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract This paper is concerned with computational experimentation leading to the design of effective branch and bound algorithms for an important class of nonlinear integer programming problems, namely linearly constrained problems, which are used to model several real-world situations. The main contribution here is a study of the effect of node and branching variable selection and storage reduction strategies on overall computational effort for this class of problems, as well as the generation of a set of adequate test problems. Several node and branching variable strategies are compared in the context of a pure breadth-first enumeration, as well as in a special breadth and depth enumeration combination approach presented herein. Also, the effect of using updated pseudocosts is briefly addressed. Computational experience is presented on a set of eighteen suitably-sized nonlinear test problems, as well as on some random linear integer programs. Some of the new rules proposed are demonstrated to be significantly superior to previously suggested strategies; interestingly, even for linear integer programming problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02022086
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  • 10
    Electronic Resource
    Electronic Resource
    Rates of convergence for the distance between distribution function estimators (1986)
    Springer
    Metrika 33 (1986), S. 197-202 
    Details
    ISSN: 1435-926X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The normed difference between “kernel” distribution function estimators $$\hat F_n $$ and the empirical distribution functionF n is investigated. Conditions on the kernel and bandwidth of $$\hat F_n $$ are given so that $$a_n \left\| {\hat F_n - F_n } \right\|\xrightarrow{{wpl}}0$$ as n→∞ for both the sup-norm $$\left\| g \right\|_\infty = \mathop {\sup }\limits_x \left| {g(x)} \right|and L_1 $$ andL 1 norm $$\left\| g \right\|_1 = f\left| {g(x)} \right|dx$$ . Applications include equivalence in asymptotic distribution ofT $$\hat F_n $$ andT(F n ) (to ordern n ) for certain robust functionalsT(·).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01894748
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