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The deviation of atomic weights from exact integer values (expressed as multiples of hydrogen) could be explained partly by the fact that some elements are mixtures of isotopes with different atomic weights and partly by Einstein's relation between mass and energy, E = mc2 (taking account of the binding energy of the forces that hold together the atomic nucleus).
Ideally, we can obtain the exact integer transform coefficient if the QCS becomes a scalar, a scenario that rarely occurs.
Furthermore, for some signals, the frequencies of the harmonics will not be exact integer multiples of the fundamental.
Results show that the use of this new heuristic integrated with the exact integer model seems to be a good approach for car sequencing problems.
By using exact integer programming (IP) (integer programming in infinite precision) bounds on the word-length patterns (WLPs) and generalized word-length patterns (GWPs) for fractional factorial designs are improved.
We present a micromachined scanning probe cantilever, in which a specific higher-order flexural mode is designed to be resonant at an exact integer multiple of the fundamental resonance frequency.
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Several studies have compared the performances of exact algorithms (integer programming) and heuristic methods in the solution of conservation resource allocation problems, with the conclusion that exact methods are always preferable.
The main methods applied to Haplotype Inference are either simple greedy heuristic or exact methods (Integer Linear Programming, Semidefinite Programming, SAT and pseudo-boolean encoding) that, at present, are adequate only for moderate size instances.
By exploiting the properties of the MINLP model it is reformulated into an exact Mixed-Integer Linear Programming (MILP) model that is solved to global optimality.
We show that both defender and attacker best response subproblems are NP-complete, and develop exact mixed-integer linear programming approaches for solving these, as well as fast heuristic methods.
Clearly, ϵ-additive approximations generalize exact algorithms for integer weighted instances.
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