This is a linear equation that can be simplified by dividing through by 2. What else do you need to do with it? 2x +6y = -24 Let a_1 = \begin{bmatrix} 4 \\ 5 \\ 4 \end{bmatrix}, \ a_2 \begin{bmatrix} 4 \\ 3 \\ 3 \end{bmatrix}, \text{ and } b = \begin{b...
Compact linear genetic programmingMulti-program encodingSurrogate-assisted local searchOntology is a foundational technique of Semantic Web, which enables meaningful interpretation of Web data. However, ontology heterogeneity obstructs the communications among different ontologies, which is a key hindrance in ...
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The model cannot be simplified without knowledge of preliminary estimates of some parameters. Problem 8.3 Influence of the magnitude of parameters on redundancy in a regression model Examine the redundancy in the regression model f(x, β) = exp(β1x) + exp(β2x) with regard to the magnitude...
Secondly, we use the mixed line search quasi-Newton method to solve this nonlinear system. Finally, we prove the globally and locally superlinear convergence of the algorithm.doi:10.1155/2013/230717Gui ZhuqingHu ChunyanZhu ZhibinISRN Operations Research...
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1.1. The origin of the multiobjective problem and a short historical review The continuing search for a discovery of theories, tools and c- cepts applicable to decision-making processes has increased the complexity of problems eligible for analytical tre
In Sect.6.4, we propose a novel characterization of matroid MLOP, wherein one can search through bases and permutations of bases, rather than permutations of the ground set. In particular, whenever the number of bases of a matroid is small (polynomial in |E|) and the rank of the matroid...
We define and study a machine model (random access machine with powerful input/output instructions) and show that for this model the classes, DLINEAR and NLINEAR, of problems computable in deterministic (resp. nondeterministic) linear time are robust and
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