The prevalence of pushing the abstract-art envelope and testing the limits of technology are some of the most satisfying components of Triantafyllidis's work, he continues, "With the latest piece, Mountain, I was interested in the visceral intersection between the virtual and the physical.
Satisfying components of caregiving include improved relationships and strengthening of bonds, increased self-esteem and personal achievement in providing care [ 20].
where k is the number of components in the mixture, ( are the mixing proportions of components satisfying, and each component density is a Gaussian probability density function given by (2).
Thus the Gaussian mixture model can be estimated in the feature space with each component satisfying multivariate Gaussianity.
Indeed, it suffices to show the existence of such a component satisfying { ( μ, 0 ) } ∈ K μ ν ¯.
By means of the corresponding auxiliary equations, we obtain a sequence of unbounded components via Rabinnowitz's global bifurcation theorem [10], and this enables us to find an unbounded component satisfying (1.10).
In a computer procedure, α k in (6) is obtained by searching in the set { β, β ρ, β ρ 2 …, } such that α k is the largest component satisfying (6), where ρ ∈ ( 0, 1 ) and β > 0 are given constant scalars.
((A_{3})).: The function (g:mathbb{R}^ timesmathbb{R} ^ timesmathbb{R} tomathbb{R}) is continuous and there exists a continuous function (b:mathbb{R}^ timesmathbb{R}^ to mathbb{R}^) which is increasing with respect to the first component, satisfying biglvert g t,s,x) bigrvert leq b t,s), for all (t,s inmathbb{R}^) and (x inmathbb{R}) where lim_{t toinfty} int_{0}^{t} b t,ds=0s=0.
The function (g:mathbb{R}^ timesmathbb{R} ^ timesmathbb{R} tomathbb{R}) is continuous and there exists a continuous function (b:mathbb{R}^ timesmathbb{R}^ to mathbb{R}^) which is increasing with respect to the first component, satisfying biglvert g t,s,x) bigrvert leq b t,s), for all (t,s inmathbb{R}^) and (x inmathbb{R}) where lim_{t toinfty} int_{0}^{t} b t,ds=0s=0.
The Vold-Kalman filter is improved such that it is encoders/tachometers-free. It can decompose an arbitrarily complex signal into mono-components without resorting to speed inputs, thus satisfying the mono-component requirement by the HOES algorithm.
