For instance, at the start of the AIDS epidemic, it was found that the total number of cases in the United States was growing only cubically (that is, like x³), not exponentially as might be expected for a viral illness, a finding crucial for planning.
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The physical communication mean used is the inductive coupling signaling working in the near field of a 131 kHz magnetic dipole antenna. Inductive coupling power falls cubically with the distance between the Controller and Responder.
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The decay is brown, cubically cracked, with thick white felts in large cracks. The taste of both conks and felts is bitter and distinct for this species. A single conk usually indicates complete cull. Infected trees can be habitat for snag-nesting species.
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In this motif the positions of the anions and cations are reversed relative to their positions in CaF2, with sodium ions tetrahedrally coordinated to 4 oxide ions and oxide cubically coordinated to 8 sodium ions.Wells, A. F. (1984) Structural Inorganic Chemistry, Oxford: Clarendon Press. .
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The weight of a crocodile increases approximately cubically as length increases (see square-cube law). This explains why individuals at weigh more than twice that of individuals at . In crocodiles, linear growth eventually decreases and they start getting bulkier at a certain point. Saltwater crocodiles are the largest extant riparian predators in the world.
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The D-DIA is based on the similar DIA, which is a cubic-anvil apparatus. The D-DIA is a type of multi-anvil deformation apparatus that uses 6 cubically arranged anvils to provide independent pressurization and deformation of the sample. Four anvils of the cubic arrangement are oriented in the horizontal opposing at 90°, and the remaining two anvils are oriented in the vertical within two guide blocks. The back side of each horizontal anvil comprises two faces of a virtual octahedron.
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The Aberth method, or Aberth–Ehrlich method, named after Oliver Aberth and Louis W. Ehrlich, is a root-finding algorithm developed in 1967 for simultaneous approximation of all the roots of a univariate polynomial. This method converges cubically, an improvement over the Durand–Kerner method, another algorithm for approximating all roots at once, which converges quadratically. (However, both algorithms converge linearly at multiple zeros.) This method is used in MPSolve, which is the reference software for approximating all roots of a polynomial to an arbitrary precision.
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A nice feature proposed in the standard is a frequency available to broadcast energy and supply the Responders. This frequency is 65.536 kHz, about half of the 131 kHz frequency that is used for data communication. The IEEE 1902.1 recommends devices to have an average power of less than 10 milli-Watts (mW). As the medium in an inductive signal, the signal diminishes cubically, so the Responders must sleep quite a long time in order to store enough energy to listen and respond to the Controller requests.
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The student body was housed in the old Lincoln High School building during the 1997-98 and 1998-99 school years. Lincoln was undergoing a remodel to become a middle school. The students who attended Ballard at Lincoln High had no bells to mark classes, limited classrooms, and cubically separated classrooms in the library and gymnasium facilities for the 1997-98 school year. This was due to the fact that half of the facility at Lincoln was still closed for renovations (the half that held the majority of the divided classrooms).
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The pair search scales cubically and is the slowest part of the algorithm (aside from energy calculations). This is a dramatic improvement over the brute-force enumeration which scales as O(p^{N}). A large-scale benchmark of DEE compared with alternative methods of protein structure prediction and design finds that DEE reliably converges to the optimal solution for protein lengths for which it runs in a reasonable amount of time. It significantly outperforms the alternatives under consideration, which involved techniques derived from mean field theory, genetic algorithms, and the Monte Carlo method.
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Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain increasingly accurate eigenvalue estimates. Rayleigh quotient iteration is an iterative method, that is, it delivers a sequence of approximate solutions that converges to a true solution in the limit. Very rapid convergence is guaranteed and no more than a few iterations are needed in practice to obtain a reasonable approximation. The Rayleigh quotient iteration algorithm converges cubically for Hermitian or symmetric matrices, given an initial vector that is sufficiently close to an eigenvector of the matrix that is being analyzed.
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Rowland Plumbe and Sir Richard Farrant, Deputy Chairman of the Artizans Company, visited the site to investigate the matter. Mr Hunt, the foreman, advised that "in answer to questions as to the mode of measurement in use for Ballast heaps, that one third was added to the measurement for shrinkage".Welch, p. 17 When summoned to appear before the "Hornsey Committee" of the Artizans Company the next day, Hunt instead sent his assistant, without the relevant ledgers and instead with a paper described in the Committee minutes as "a paper of measurements which were soon ascertained not to be the actual measurements but measurements falsified so as to work out cubically to about the measurements certified by Mr Hunt".
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