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Highlighting is based on a simple formula inspired by the law of mass action.
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A subsequent direction of research in proof complexity has thus been aimed at identifying other classes of formulas inspired by combinatorial principles similar to PHP by which it might be shown that other proof systems are not polynomially bounded (see, e.g., Bonet, Buss, and Pitassi 1995; Cook and Nguyen 2010).
(Officially, by the way, Sony wishes to distance itself from the notion that its songs-and-hardware formula was inspired by Apple's wildly successful iTunes-iPod model.
The following reproducing formula is inspired by an idea of Ligocka [26].
This formula is inspired by the Lennard Jones Chain model of Yu and Gao for self-diffusion, and represents the viscosities of 15 compounds (1046 data points) with an average absolute deviation of 6.95%.
But like much else in the play, these impassioned speeches seem preordained by the playwright's devoted adherence to dramatic formulas, not inspired by the effusions of a strained heart.
(Trawlers in the more lurid waters of television these days will recognize this formula as being inspired by "Intervention". Which I have never, ever seen).
The other is the new movement formulas which are inspired by artificial bee colony algorithm (ABC) and particle swarm optimization (PSO).
The numerical efficiency potential of this concept is evaluated by considering a method inspired by the sensitivity formula for finite element models, an iterative method inspired by Jacobi's method, and the untransformed preconditioned conjugate gradient method.
California's Sunrider International sells capsules and lotions inspired by ancient Asian formulas.
This definition is inspired by the Borel-Pompeiu formula derived in [2, Theorem 1.3].
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