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Loaded Equations with Periodic Boundary Conditions

Differential Equations, 2001
To a polynomial with constant complex coefficients \(A(s)= \sum_{ |\alpha|\leq l}a_\alpha s^\alpha\), \(s^\alpha= s_1^{\alpha_1}\dots s_n^{ \alpha_n}\), \(|\alpha |=\alpha_1 +\cdots+ \alpha_n\), the differential operation \(A(-iD)\) is assigned \((D^\alpha= D_1^{\alpha_1} \dots D_n^{\alpha_n}\), \(D_j=\partial/ \partial x_j\), \(i^2=-1)\).
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A New Metric for Network Load and Equation of State

2009 Fifth International Conference on Networking and Services, 2009
The performance of networks is generally estimated through characteristic indices such as delivery ratio, latency, delay, jitter and loss. Such indices depend on network parameters such as TTL, buffer size, time and load which are at times highly correlated.
Adriano Galati, Chris Greenhalgh
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Load balancing and Poisson equation in a graph

Concurrency: Practice and Experience, 1990
AbstractWe present a fully distributed dynamic load balancing algorithm for parallel MIMD architectures. The algorithm can be described as a system of identical parallel processes, each running on a processor of an arbitrary interconnected network of processors.
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Efficient Solution of Load-Deflection Equations

Journal of the Structural Division, 1969
Load deflection equation solution based on row operations, involving three passes of coefficient matrix, using wavefront processing and modified Gauss ...
Robert J. Melosh, Robert M. Bamford
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Interaction Equations for Biaxially Loaded Sections

Journal of the Structural Division, 1972
A simple method for obtaining the exact interaction relationships of doubly symmetric sections under combined axial force and biaxial bending moments is presented. Simple expressions for approximating the interaction curves of wide-flange sections are proposed, and the associated plastic deformations are calculated. For illustration, interaction curves
Wai F. Chen, Toshio Atsuta
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A semilinear beam equation with nonconstant loads

Nonlinear Analysis: Theory, Methods & Applications, 1997
Summary: We investigate multiplicity of solutions \(u(x,t)\) for a piecewise linear perturbation \(-(bu^+ -au^-)\) of the one-dimensional beam operator \(u_{tt} +u_{xxxx}\) under Dirichlet boundary condition on the interval \((-\pi/2, \pi/2)\) and periodic condition on the variable \(t\).
Choi, Q-Heung, Jung, Tacksun
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Cauchy problem for equations with loadings on surfaces

Ukrainian Mathematical Journal, 1988
The authors consider differential equations which include not only values of a function in the points of some region but also its values in the points of submanifolds of smaller dimension. A theorem about correctness of the Cauchy problem for a class of such equations is proved.
Borok, V. M., Zhitomirskij, Ya. I.
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A reappraisal of the Engelund bed load equation

Hydrological Sciences Journal, 1994
Abstract Many bed load transport equations have been developed from differing standpoints. The Engelund equation has been selected for scrutiny since, although it accords well with experimental data in general, it has limitations under conditions of high bed load transport rates.
XIAOFENG ZHANG, GORDON L. McCONNACHIE
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Parallelization of the linear load flow equations

2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502), 2002
The Jacobi iterative method is a simple mathematical tool of great effectiveness to solve lineal equation systems such as those used in electric network models. In this paper it is proposed that the application of this method for the solution of load flow equations, using an appropriate technique of decomposition of the electric network in partial nets
L.S. Zurlo   +2 more
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Bifurcation analysis of the load flow equations

1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1980
The bifurcation of the load flow equation of a power transmission network with PV buses and lossless lines is studied. This analysis has application in the development of numerical continuation methods.
A. Arapostathis, S. Sastry, P. Varaiya
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