Stepwise multiple regressions were used to elaborate equations to estimate the dependent variables FM and LM, according to method proposed by Freund and Littell [ 10].
This mathematically elaborate transcendental equation gives phase speed as an implicit function of wave number.
What is striking about the structures is that their monumentality and sophisticated design are best seen from an aerial view, where they look like an elaborate geometry equation diagrammed in the earth.
A similar observation was made by Yip et al. (2010): simple noise models filtering noise from relevant perturbation effects had higher accuracy than more elaborate differential equation models (though a combination of both could slightly improve the results).
It was he who wrote the elaborate mathematical equations that enabled filmmakers to create them digitally on the big screen.
Without getting mired in the morass of elaborate mathematical equations and the arcane economics-speak of "discount rates", journalists could turn to independent environmental economists for honest assessments of how climate change will affect the global economy.
Stan's heart and soul is software, a master formula of elaborate differential equations that represent the interrelationships of human physiology.
IO neurons use more elaborate spiking equations to simulate realistic CF activity including the low frequency (∼2 Hz) baseline noisy spikes[31].
